When the pen is sold at Rs 26.25: ⇒ Profit = 26.25 – 25 = Rs 1.25

⇒ Profit % =(1.25/25) × 100 ⇒ 5%

Total work = L.C.M. of (12, 9) = 36 units

Efficiency of A = 36/9 = 4 units/day

Efficiency of B = 36/12 = 3 units/day

Combined efficiency of A and B = (3 + 4) = 7 units/day

If they work together on it for 5 days = 7 × 5 = 35 unit

The fraction of the work left is = 1/36

Speed of bus = 60/(4/3) ⇒ 45 km/hr

Speed of aeroplane = 5 × 45 ⇒ 225 km/hr

Distance covered in 25 minutes = 225 × 25/60 ⇒ 93.75 km

Let deposit = Rs. a 

⇒ 135 = (a x 4.5 x 1)/100 ⇒ a = 3000

Simple interest on 5% = (3000 x 5 x 1)/100 ⇒ 150

Additional interest = 150 - 135 = Rs. 15

Simplify the following expression.

2 + (30 - 26)² ÷ 8^3-2 × 0.5

2 + (30 - 26)2 ÷ 83-2 × 0.5 ⇒ 2 + (4)2 ÷ 81 × 0.5 ⇒ 2 + 2 × 0.5 ⇒ 3

Circumradius of Equilateral triangle = side of equilateral triangle/√3

PL = PQ/√3 ⇒ PL = 6/√3 ⇒ PL = 2√3 cm.

Simplify the given expression.

15 - (-5) × {4 - (7 - 3)} ÷ [3 × {5 + (-3) × (-6)}]

15 - (-5) × {4 - (7 - 3)} ÷ [3 × {5 + (-3) × (-6)}] ⇒ 15 - (-5) × {0} ÷ [3 × {5 + 18}] ⇒ 15 - (-5) × {0} ÷ [3 × {5 + 18}] ⇒ 15 + 0 ⇒ 15

Study the given pie-chart and answer the question that follows.

If the pie-chart shows the distribution of 36 marbles among 3 persons, then the number of marbles Madhuri has is:

The number of marbles Madhuri has = 180

360° → 36 marbles ⇒ 180° → 18

Let total salary = a

⇒ a × 3/4 × 41/50 × 21/25 = 861 ⇒ a = (861 × 50 × 25 × 4)/(3 × 41 × 21) ⇒ a = 5000/3 ⇒ a = 1666(2/3).

sin θ + 1/sin θ = √5

x3 + 1/x3 = (x + 1/x)3 - 3(x + 1/x) ⇒ sin3 θ + 1/sin3 θ  = (√5)3 - 3(√5) ⇒ 5√5 - 3√5 = 2√5

cosec²θ - cot²θ = (cosec θ + cot θ)(cosec θ - cot θ) = 1 

cosec θ + cot θ = 3/2 ....(1)

cosec θ - cot θ = 2/3     ....(2)

Solving equations 1 and 2 , we get 

2cosec θ = 13/6  ⇒ cosec θ  = 13/12  

1-day work of (A + B + C) and (A) and (B) = (1/12) - (1/36) - (1/36) = 1/36

Total time taken by C alone = 36 days.

Volume of sphere = (4/3)πR3  ⇒ 4/3 × 22/7 × 3.5³ ⇒  4/3 × 22/7 × 42.875 ⇒ 179.67 cm3

Study the given bar graph carefully and answer the following question. What is the difference between the average demand and the average production of the three companies taken together?

Direction: Select the option that expresses the given sentence in passive voice.

One group of the club has raised an undigestible criticism against the manager.

The rule for changing a Present Perfect Tense from Active voice to Passive voice: Interchange the object and subject with each other, i.e. object of the active sentence become the subject of the passive sentence.​ Structure: Object + has/have + been + V3 + by + Subject. (Passive Voice). ​​Correct sentence: An undigestible criticism has been raised by one group of the club against the manager.

Direction: Select the most appropriate idiom that can substitute the underlined segment in the given sentence.

Vinay missed his flight, but good luck came to him from bad circumstances as the flight crashed into the sea.

Direction: Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.

A. The Olympic Games have come to be regarded as the world's foremost sports competition.

B. Olympic Games is an athletic festival that originated in ancient Greece and was revived in the late 19th century.

C. Before the 1970s, the Games were officially limited to competitors with amateur status, but in the 1980s many events were opened to professional athletes.

D. Currently, the Games are open to all, even the top professional athletes in basketball and football (soccer).

Sentence B: This sets the historical context. Sentence C: This provides additional context about the nature of the games. Sentence D: It concludes the paragraph by stating that currently, the Games are open to all, including top professional athletes, showing a shift in the rules and inclusivity over time. Sentence A: It follows up by stating that the Olympic Games are now considered the world's foremost sports competition, establishing their significance. SO, the correct sequence is BCDA.

Direction: Select the most appropriate synonym of the given word.

Earnestly

Direction: Select the option that can be used as a one-word substitute for the given group of words.

A person whose age is between 70 and 79 years old

Direction: The following sentence has been split into four segments. Identify the segment that contains a grammatical error.

I play / cricket in / my childhood / with my sister.

The error lies in the part \"I play.\" The sentence has a tense agreement error. Using \"played\" instead of \"play\" is appropriate because we are referring to a past activity (\"childhood\"). Correct sentence: I played cricket in my childhood with my sister.

Direction: Select the most appropriate synonym of the given word.

Announced

Direction: Select the most appropriate synonym of the given word.

Crooked

Direction: The sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.

A. We recognise some aspects of an SF narrative with the realities of this world and some elements are estranged from the reality so as to take us to an unreal world.

B. Therefore, it is often suggested that 'cognitive estrangement' is a necessary means through which the SF is usually understood.

C. Science Fiction is a genre which manifests in itself the use of scientific premises often in a fantastical manner in a narrative.

D. It is highly seeped into the reality of this world.

CDBA

Direction: Select the most appropriate option to fill in the blank.

The princess firmly held the ______ in her hands.

The word \"rein\" is often associated with controlling and guiding horses, as in holding the reins to direct them. Example: This is a post that will give your talents full rein. When used metaphorically, it can imply control, authority, or influence over a situation. Therefore, if the princess is holding something that signifies her control or influence, \"rein\" would be a suitable word. Correct sentence: The princess firmly held the rein in her hands.

Direction: The following sentence has been split into four segments. Identify the segment that contains a grammatical error.

The historians / are a great / asset to the / field of academia.

Key Points 

\n\t
• The error lies in the part "The historians."
\n\t
• The definite article 'the' is used before a noun when one is referring to something specific.
\n\t
• In the given sentence, using 'the' before 'historians' would suggest that the speaker is referring to a specific group of historians that have already been mentioned or are known to both speaker and listener.
\n\t
• However, when we want to speak generally about all people in a certain group,we should use 'historians' without an article ('the'), similar to how we use 'people' without an article when talking about people in general.
\n

Therefore, the​ correct answer is Option 4.

Correct sentence: Historians are a great asset to the field of academia.

Direction: Select the option that can be used as a one-word substitute for the given group of words.

A formal agreement between two or more nations or peoples

Direction: Select the option that expresses the given sentence in active voice.

The newspaper was read by me.

The structure of the given sentence is as follows: Subject + V2 + Object. (Active Voice). In the passive voice, the action \"reading\" is performed by the doer \"me.\" \"I\" is the subject and \"newspaper\" is the object in the active voice. Correct sentence: I read the newspaper.

Direction: Select the most appropriate synonym of the underlined word.

In order to support countries with a concerted approach for an inclusive, and government-led assessment of post-disaster damages, losses, and recovery needs, as well as the development of a comprehensive recovery plan, the European Commission, the World Bank, and the United Nations adopted the Post Disaster Needs Assessment (PDNA) process in 2008.

Direction: Select the most appropriate option to fill in the blank.

Mosquitoes ______ if there is no water logging.

Direction: Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'.

Delegates of the conflicting countries formally meet at a conference to ironing out their differences.

Direction: Select the most appropriate synonym of the given word from the sentence.

Dangerous

The traffic police have released a safe advisory that driving without seat belts is risky, beneficial, and fearful for human life.

Direction: Choose the most appropriate meaning of the underlined phrase.

Many analysts are tipping stable, blue-chip companies to weather the storm.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

तर्क: [(पहली संख्या) : {(पहली संख्या × 2) - 1} : (पहली संख्या)²]

दिए गए सभी विकल्पों की जाँच करना:

(1) 11 : 21 : 121 → [(11) : {(11 × 2) - 1} : (11)²]

(2) 2 : 3 : 4 → [(2) : {(2 × 2) - 1} : (2)²]

(3) 7 : 15 : 49 → [(7) : {(7 × 2) + 1} : (7)²]

(4) 9 : 17 : 81 → [(9) : {(9 × 2) - 1} : (9)²]

यहाँ, (7:15:49) में भिन्न-भिन्न तर्क का अनुसरण किया गया है।

अतः, सही उत्तर "7 : 15 : 49" है।

दिए गए विकल्पों में से उस आकृति का चयन कीजिए जो निम्नलिखित शृंखला में प्रश्न चिह्न (?) को प्रतिस्थापित कर सके।

दी गई आकृति शृंखला में अनुसरण किया गया तर्क इस प्रकार है:

आकृति (1) से (2) तक:

एक और पंक्ति जोड़ी गई है।

आकृति (2) से (3) तक:

एक और पंक्ति जोड़ी गई है।

आकृति (3) से (4) तक:

एक और पंक्ति जोड़ी गई है।

आकृति (4) से उत्तर आकृति (5) तक:

एक और पंक्ति जोड़ी गई है।

अतः, सही उत्तर "विकल्प (4)" है।

जून माह का पन्द्रहवाँ दिन शनिवार है।

शनिवार इन दिनांकों पर पड़ता है:

15 + 7 = 22

22 + 7 = 29

और जून महीने के आखिरी दिन अर्थात 30 जून को रविवार है।

और 1 जुलाई को सोमवार होगा।

सोमवार इन दिनांकों पर पड़ता है:

1 + 7 = 8

8 + 7 = 15

15 + 7 = 22

22 + 7 = 29

30 को मंगलवार और 31 को बुधवार है।

अतः, सही उत्तर "बुधवार" है।

कौन-सा विकल्प दिए गए शब्दों के सही क्रम को दर्शाता है जैसा कि वे अंग्रेजी शब्दकोश में दिखाई देंगे?

1. Elite

2. Elude

3. Elaborate

4. Elapsed

5. Elongate

वह विकल्प जो दिए गए शब्दों के सही क्रम को दर्शाता है जैसा कि वे अंग्रेजी शब्दकोश में दिखाई देंगे:

3. Elaborate

4. Elapsed

1. Elite

5. Elongate

2. Elude

अतः, सही उत्तर "3, 4, 1, 5, 2" है।

उस शब्द-युग्म का चयन कीजिए जो नीचे दिए गए शब्दों के युग्म में व्यक्त किए गए संबंध के समान सबसे अच्छे तरीके से निरुपित करता है।

पुर्तगाल : लिस्बन

तर्क: पहला शब्द एक देश है, और दूसरा शब्द उसकी राजधानी है।

पुर्तगाल: लिस्बन → लिस्बन, पुर्तगाल की राजधानी है।

इसी प्रकार,

इटली: रोम → रोम, इटली की राजधानी है।

यहाँ 'इटली: रोम' सही युग्म है।

अतः, सही उत्तर "इटली: रोम" है।

Additional Information

@ चिह्नों को क्रमिक रूप से बदलने और दिए गए समीकरण को संतुलित करने के लिए गणितीय चिह्नों के सही संयोजन का चयन कीजिए।

72 @ 9 @3 @ 6 @ 6 @ 6 @ 6

यहाँ, हम नीचे दी गई BODMAS तालिका का प्रयोग करते हैं:

दिया गया है:

⇒ 72 @ 9 @3 @ 6 @ 6 @ 6 @ 6

(1) ÷, ×, +, =, -, +

⇒ 72 @ 9 @3 @ 6 @ 6 @ 6 @ 6

चिन्ह लगाने के बाद:

⇒ 72 ÷ 9 × 3 + 6 = 6 - 6 + 6

BODMAS नियम लागू करने पर:

⇒ 8 × 3 + 6 = 12 - 6

⇒ 24 + 6 = 6

⇒ 30 = 6

यहां समीकरण संतुष्ट नहीं है।

(2) ÷, ×, +, =, ×, -

⇒ 72 @ 9 @3 @ 6 @ 6 @ 6 @ 6

चिन्ह रखने के बाद:

⇒ 72 ÷ 9 × 3 + 6 = 6 × 6 - 6

BODMAS नियम लागू करने पर:

⇒  8 × 3 + 6 = 36 - 6

⇒ 24 + 6 = 30

⇒ 30 = 30

यहाँ, समीकरण संतुष्ट होता है।

(3) ×, ÷, =, -, +, ×

⇒ 72 @ 9 @3 @ 6 @ 6 @ 6 @ 6

चिन्ह रखने के बाद:

⇒ 72 × 9 ÷ 3 = 6 - 6 + 6 × 6

BODMAS नियम लागू करने पर:

⇒ 72 × 3 = 6 - 6 + 36

⇒ 216 = 42 - 6

⇒ 216 = 36

यहाँ समीकरण संतुष्ट नहीं है।

(4) +. ×, =, -, ÷, +

⇒ 72 @ 9 @3 @ 6 @ 6 @ 6 @ 6

चिन्ह रखने के बाद:

⇒ 72 + 9 × 3 = 6 - 6 ÷ 6 + 6

BODMAS नियम लागू करने पर:

⇒ 72 + 27 = 6 - 1 + 6

⇒ 99 = 12 - 1

⇒ 99 = 11

यहाँ, समीकरण संतुष्ट नहीं है।

अतः, सही उत्तर "विकल्प (2)" है।

उस विकल्प का चयन कीजिए जो पांचवीं संख्या से उसी प्रकार संबंधित है जिस प्रकार दूसरी संख्या पहली संख्या से संबंधित है और चौथी संख्या तीसरी संख्या से संबंधित है।

14 : 54 :: 21 : 82 :: 5 : ?

दिया गया है:

14 : 54 :: 21 : 82 :: 5 : ?

तर्क: दूसरी संख्या = [(पहली संख्या × 4) - 2]

14 : 54 →

⇒ [(14 × 4) - 2]

⇒ (56 - 2) = 54

21 : 82 →

⇒ [(21 × 4) - 2]

⇒ (84 - 2) = 82

इसी प्रकार, '5 : ?' → के लिए

⇒ [(5 × 4) - 2]

⇒ (20 - 2) = 18

यहाँ, '5 : 18' सही युग्म है।

अतः, सही उत्तर "विकल्प (4)" है।

उस आकृति का चयन कीजिए जो निम्नलिखित आकृति शृंखला में प्रश्न चिह्न (?) के स्थान स्थान पर आएगी।

दी गई आकृति शृंखला में अनुसरण किया गया तर्क इस प्रकार है:

आकृति (1) से (2) तक:

प्रतीकों को नीचे दिखाए अनुसार स्थानांतरित किया गया है।

आकृति (2) से (3) तक:

प्रतीकों को नीचे दिखाए अनुसार स्थानांतरित किया जाता है और प्रतीक L, (=) में बदल जाता है।

आकृति (3) से (4) तक:

प्रतीकों को नीचे दिखाए अनुसार स्थानांतरित किया गया है।

आकृति (4) से उत्तर आकृति (5) तक:

प्रतीकों को नीचे दिखाए अनुसार स्थानांतरित किया जाता है और प्रतीक O, 6 में बदल जाता है।

अतः, सही उत्तर "विकल्प (1)" है।

एक ही पासे की तीन अलग-अलग स्थितियाँ दिखाई गई हैं। '3' दर्शाने वाले फलक के विपरीत फलक पर संख्या ज्ञात कीजिए।

चूँकि दोनों पासों पर 2 और 1 उभयनिष्ठ फलक हैं, शेष फलक 6 और 5 एक दूसरे के विपरीत हैं।

चूँकि दोनों पासों पर 5 और 2 उभयनिष्ठ फलक हैं, शेष फलक 1 और 4 एक दूसरे के विपरीत हैं।

शेष फलक 2 और 3 एक दूसरे के विपरीत होंगे।

अतः, '2' सही उत्तर है।

निम्नलिखित में से कौन-सी संख्या दी गई शृंखला में प्रश्न चिह्न (?) को प्रतिस्थापित करेगी?

18, 20, 22, 27, 32, 39, ?

यहाँ अनुसरण किया गया तर्क इस प्रकार है:
\n 

अतः, '46' सही उत्तर है।

उस विकल्प का चयन कीजिए जो उन अक्षरों को दर्शाता है, जिन्हें निम्नलिखित रिक्त स्थान में बाएं से दाएं रखने पर अक्षर-शृंखला पूरी हो जाएगी।

F G H _ Y _ G _ U Y F_ H _ Y F G _ W _

दिया गया है:

F G H _ Y _ G _ U Y F_ H _ Y F G _ W _

सभी विकल्पों की जाँच करना:

1. U F H G V I Y

F G H U Y / F G H U Y / FG H V Y / F G I W Y

2. T G H G V H Y

F G H T Y / G G H U Y / FG H V Y / F G H W Y

3. T F H G V H Y

F G H T Y / F G H U Y / FG H V Y / F G H W Y

यहाँ, शृंखला पूरी हो गई है।

4. U G H G V H Y

F G H U Y / G G H U Y / FG H V Y / F G H W Y

अतः, सही उत्तर "विकल्प (3)" है।

उस समुच्चय का चयन कीजिए जिसमें संख्याएँ उसी प्रकार संबंधित हैं जिस प्रकार निम्नलिखित समुच्चय की संख्याएँ हैं:

(4, 16, 8)

(2, 14, 9)

(नोट: संख्याओं को उसके घटक अंकों में तोड़े बिना संक्रियाएँ पूर्ण संख्याओं पर की जानी चाहिए। उदाहरण के लिए 13 - 13 पर संक्रियाएँ जैसे कि 13 में जोड़ना/घटाना/गुणा करना आदि की जा सकती हैं। 13 को 1 और 3 में तोड़ना और फिर 1 और 3 पर गणितीय संक्रियाएँ करने की अनुमति नहीं है)

दिया गया है:

(4, 16, 8)

(2, 14, 9)

तर्क: तीसरी संख्या = [(पहली संख्या) + (दूसरी संख्या ÷ पहली संख्या)]

(4, 16, 8) →

⇒ [4 + (16 ÷ 4)]

⇒ (4 + 4) = 8

(2, 14, 9) →

⇒ [2 + (14 ÷ 2)]

⇒ (2 + 7) = 9

दिए गए सभी विकल्पों की जाँच करना:

1. (2, 8, 10)

⇒ [2 + (8 ÷ 2)]

⇒ (2 + 4) = 6

2. (2, 8, 6)

⇒ [2 + (8 ÷ 2)]

⇒ (2 + 4) = 6

3. (2, 8, 16)

⇒ [2 + (8 ÷ 2)]

⇒ (2 + 4) = 6

4. (2, 8, 1)

⇒ [2 + (8 ÷ 2)]

⇒ (2 + 4) = 6

यहाँ, (2, 8, 6) दिए गए संख्याओं के समुच्चय के समान संबंध दर्शाता है।

अतः, सही उत्तर "विकल्प (2)" है।

निम्नलिखित विकल्पों में से सही दर्पण प्रतिबिंब का चयन कीजिए, जब दर्पण दी गई आकृति के दाईं ओर रखा गया हो।

निम्नलिखित विकल्पों में से सही दर्पण प्रतिबिंब, जब दर्पण को दी गई आकृति के दाईं ओर रखा जाता है, नीचे दर्शाया गया है:

अतः, 'विकल्प 4' सही उत्तर है।

तीन कथन दिए गए हैं और उसके बाद I, II और III क्रमांकित तीन निष्कर्ष दिए गए हैं। कथनों को सत्य मानते हुए, भले ही वे सामान्य रूप से ज्ञात तथ्यों से भिन्न प्रतीत हों, निर्णय लें कि कौन सा/से निष्कर्ष कथनों का तार्किक रूप से अनुसरण करता/करते है/हैं।

कथन:

कुछ नावें, जहाज़ हैं।

सभी जहाज़, यॉट हैं।

सभी यॉट, बार्ज हैं।

निष्कर्ष:

I. कुछ बार्ज, जहाज़ हैं।

II. कुछ बार्ज, नावें हैं।

III. कुछ यॉट, नावें हैं।

I. कुछ बार्ज, जहाज़ हैं। → अनुसरण करता है (चूंकि, सभी जहाज़ यॉट हैं और सभी यॉट बार्ज हैं)

II. कुछ बार्ज, नावें हैं। → अनुसरण करता है (चूंकि, कुछ नावें जहाज़ हैं, सभी जहाज़ यॉट हैं और सभी यॉट बार्ज हैं)

III. कुछ यॉट, नावें हैं। → अनुसरण करता है (चूंकि, कुछ नावें जहाज़ हैं और सभी जहाज़ यॉट हैं)

अतः, 'सभी निष्कर्ष अनुसरण करते हैं' सही उत्तर है।

यहाँ अनुसरण किया गया तर्क इस प्रकार है:
\n

\n\t
• 
\n\t
• 
\n

इसी प्रकार,

\n\t
• 
\n

अतः, 'FUOJUTFS' सही उत्तर है।

उस विकल्प का चयन कीजिए जो छठे अक्षर-समूह से उसी प्रकार संबंधित है जिस प्रकार पहला अक्षर-समूह दूसरे अक्षर-समूह से संबंधित है और तीसरा अक्षर-समूह चौथे अक्षर-समूह से संबंधित है।

EKH : BIE :: MGP : JEM :: ? : QDI

यहाँ अनुसरण किया गया तर्क इस प्रकार है:

\n\t
• 
\n\t
• 
\n

इसी प्रकार,

\n\t
• 
\n

अतः, 'TFL' सही उत्तर है।

उस समुच्चय का चयन कीजिए जिसमें संख्याएँ उसी प्रकार संबंधित हैं जिस प्रकार निम्नलिखित समुच्चय की संख्याएँ हैं।

(नोट: संख्याओं को उसके घटक अंकों में तोड़े बिना संक्रियाएँ पूर्ण संख्याओं पर की जानी चाहिए। उदाहरण के लिए 13 - 13 पर संक्रियाएँ जैसे कि 13 में जोड़ना/घटाना/गुणा करना आदि की जा सकती हैं। 13 को 1 और 3 में तोड़ना और फिर 1 और 3 पर गणितीय संक्रियाएँ करने की अनुमति नहीं है)

(4, 14, 828)

(3, 10, 620)

दिया गया है:

(4, 14, 828)

(3, 10, 620)

तर्क: तीसरी संख्या = [{(पहली संख्या × 100) + दूसरी संख्या} × 2]

(4, 14, 828) →

⇒ [{(4 × 100) + 14} × 2]

⇒ [(400 + 14) × 2]

⇒ (414 × 2) = 828

(3, 10, 620) →

⇒ [{(3 × 100) + 10} × 2]

⇒ [(300 + 10) × 2]

⇒ (310 × 2) = 620

दिए गए सभी विकल्पों की जाँच करना:

1. (1, 10, 100)

⇒ [{(1 × 100) + 10} × 2]

⇒ [(100 + 10) × 2]

⇒ (110 × 2) = 220

2. (2, 50, 500)

⇒ [{(2 × 100) + 50} × 2]

⇒ [(200 + 50) × 2]

⇒ (250 × 2) = 500

3. (5, 10, 980)

⇒ [{(5 × 100) + 10} × 2]

⇒ [(500 + 10) × 2]

⇒ (510 × 2) = 1020

4. (4, 32, 98)

⇒ [{(4 × 100) + 32} × 2]

⇒ [(400 + 32) × 2]

⇒ (432 × 2) = 864

यहाँ, (2, 50, 500) संख्याओं के दिए गए समुच्चय के समान संबंध दर्शाता है।

अतः, सही उत्तर "विकल्प (2)" है।

जब दर्पण को रेखा MN पर दर्शाया जाता है तो दिए गए संयोजन की सही दर्पण प्रतिबिंब का चयन कीजिए।

जब दर्पण को रेखा MN पर दर्शाया जाता है तो दिए गए संयोजन की सही दर्पण प्रतिबिंब का चयन लीजिए।

अतः, 'विकल्प 4' सही उत्तर है।

उस विकल्प आकृति का चयन कीजिए जो दी गई आकृति में अंतर्निहित है (घूर्णन की अनुमति नहीं है)।

दी गई आकृति में अंतर्निहित चित्र नीचे दर्ईशाया गया है:

\nअतः, 'विकल्प 2' सही उत्तर है।

इस प्रश्न में, तीन कथन दिए गए हैं, जिनके बाद I, II और III क्रमांकित तीन निष्कर्ष दिए गए हैं। कथनों को सत्य मानते हुए, भले ही वे सामान्यतः ज्ञात तथ्यों से भिन्न प्रतीत होते हों, निर्णय लीजिए कि कौन-सा निष्कर्ष तार्किक रूप से कथनों का अनुसरण करता है।

कथन:

कुछ गुलाब, पीले हैं।

कुछ पीली, बसें हैं।

सभी बसें, हरी हैं।

निष्कर्ष:

I. सभी पीले, गुलाब हैं।

II. कुछ बसें, पीली हैं।

III. सभी पीले, हरी हैं।

न्यूनतम संभव वेन आरेख इस प्रकार है:

निष्कर्ष:

I. सभी पीले, गुलाब हैं। → अनुसरण नहीं करता है (जैसे, कुछ गुलाब, पीले हैं और कुछ पीले, बसें हैं → कुछ पीले, गुलाब हैं)

II. कुछ बसें, पीली हैं। → अनुसरण करता है (चूँकि, कुछ पीली, बसें हैं)

III. सभी पीले, हरे हैं। → अनुसरण नहीं करता हैं (चूँकि, कुछ पीली, बसें हैं और सभी बसें, हरी हैं → कुछ पीली, हरी हैं)

अतः, 'केवल निष्कर्ष II अनुसरण करता है' सही उत्तर है।

निम्नलिखित में से कौन-सा पद दी गई शृंखला में प्रश्न चिह्न (?) के स्थान पर आएगा?
\n
\nZBQ, BFL, ?, FNB, HRW, JVR

यहाँ अनुसरण किया गया तर्क इस प्रकार है:

अतः, 'DJG' सही उत्तर है।

उस समुच्चय का चयन कीजिए जिसमें संख्याएँ उसी प्रकार संबंधित हैं जिस प्रकार निम्नलिखित समुच्चय की संख्याएँ हैं।

(नोट: संख्याओं को उसके घटक अंकों में तोड़े बिना संक्रियाएँ पूर्ण संख्याओं पर की जानी चाहिए। उदाहरण के लिए 13 - 13 पर संक्रियाएँ जैसे कि 13 में जोड़ना/घटाना/गुणा करना आदि की जा सकती हैं। 13 को 1 और 3 में तोड़ना और फिर 1 और 3 पर गणितीय संक्रियाएँ करने की अनुमति नहीं है)

(10, 5, 65)

(9, 8, 89)

दिया गया है:

(10, 5, 65)

(9, 8, 89)

तर्क: तीसरी संख्या = [(पहली संख्या × दूसरी संख्या) + (पहली संख्या + दूसरी संख्या)]

(10, 5, 65) →

⇒ [(10 × 5) + (10 + 5)]

⇒ (50 + 15) = 65

(9, 8, 89) →

⇒ [(9 × 8) + (9 + 8)]

⇒ (72 + 17) = 89

दिए गए सभी विकल्पों की जाँच करना:

1. (12, 5, 89)

⇒ [(12 × 5) + (12 + 5)]

⇒ (60 + 17) = 77

2. (11, 10, 128)

⇒ [(11 × 10) + (11 + 10)]

⇒ (110 + 21) = 131

3. (4, 5, 29)

⇒ [(4 × 5) + (4 + 5)]

⇒ (20 + 9) = 29

4. (8, 7, 98)

⇒ [(8 × 7) + (8 + 7)]

⇒ (56 + 15) = 71

यहाँ, (4, 5, 29) दिए गए संख्याओं के समुच्चय के समान संबंध दर्शाता है।

अतः, सही उत्तर "विकल्प (3)" है।

उस विकल्प का चयन कीजिए जो दिए गए शब्दों के सही क्रम को दर्शाता है जैसा कि वे अंग्रेजी शब्दकोश में दिखाई देंगे।

1. Breakdown

2. Brevity

3. Breathe

4. Breeding

5. Breeze

6. Breakfast

वह विकल्प जो दिए गए शब्दों के सही क्रम को दर्शाता है जैसा कि वे अंग्रेजी शब्दकोश में दिखाई देंगे:

1. Breakdown

6. Breakfast

3. Breathe

4. Breeding

5. Breeze

2. Brevity

यहाँ, सही क्रम '1, 6, 3, 4, 5, 2' है।

अतः, सही उत्तर "विकल्प (2)" है।

निम्नलिखित चार अक्षर-समूहों में से तीन एक निश्चित प्रकार से समान हैं और एक भिन्न है।

भिन्न का चयन कीजिए।

यहाँ अनुसरण किया गया तर्क इस प्रकार है:

तर्क: पहला और दूसरा अक्षर एक-दूसरे के बिल्कुल विपरीत हैं; पहला अक्षर - 2 = तीसरा अक्षर

\n\t
1. HSF → H ↔ S; H - 2 = F
\n\t
2. FUD → F ↔ U; F - 2 = D
\n\t
3. BYZ → B ↔ Y; B - 2 = Z
\n\t
4. JOH → J ↔ Q ≠ O; J - 2 = H
\n

अतः, 'JOH' सही उत्तर है।

उस समुच्चय का चयन कीजिए जिसमें संख्याएँ उसी प्रकार संबंधित हैं जिस प्रकार निम्नलिखित समुच्चय की संख्याएँ हैं।

(नोट: संख्याओं को उसके घटक अंकों में तोड़े बिना संक्रियाएँ पूर्ण संख्याओं पर की जानी चाहिए। उदाहरण के लिए 13 - 13 पर संक्रियाएँ जैसे कि 13 में जोड़ना/घटाना/गुणा करना आदि की जा सकती हैं। 13 को 1 और 3 में तोड़ना और फिर 1 और 3 पर गणितीय संक्रियाएँ करने की अनुमति नहीं है)

(6, 4, 8)

(17, 6, 28)

दिया गया है:

(6, 4, 8)

(17, 6, 28)

तर्क: पहली संख्या = [(दूसरी संख्या + तीसरी संख्या) ÷ 2]

(6, 4, 8) →

⇒ [(4 + 8) ÷ 2]

⇒ (12 ÷ 2) = 6

(17, 6, 28) →

⇒ [(6 + 28) ÷ 2]

⇒ (34 ÷ 2) = 17

दिए गए सभी विकल्पों की जाँच करना:

1. (8, 3, 12)

⇒ [(12 + 3) ÷ 2]

⇒ (15 ÷ 2) = 7.5

2. (12, 9, 11)

⇒ [(9 + 11) ÷ 2]

⇒ (20 ÷ 2) = 10

3. (11, 4, 19)

⇒ [(19 + 4) ÷ 2]

⇒ (23 ÷ 2) = 11.5

4. (13, 5, 21)

⇒ [(5 + 21) ÷ 2]

⇒ (26 ÷ 2) = 13

यहाँ, (13, 5, 21) दिए गए संख्याओं के समुच्चय के समान संबंध दर्शाता है।

अतः, सही उत्तर "विकल्प (4)" है।

तय की गई कुल दूरी = 350 किमी + 450 किमी = 800 किमी

कुल समय = 5 घंटा + 5 घंटा = 10 घंटे

औसत गति = कुल दूरी/कुल समय

औसत गति = 800/10 = 80 किमी/घंटा

निम्नलिखित व्यंजक को हल कीजिए। 

\\(\\frac{0.01 \\times 0.01 \\times 0.01 +0.003 \\times 0.003 \\times 0.003}{0.05 \\times 0.05 - 0.015 \\times 0.05+0.015 \\times 0.015}\\)

a³ + b³ = (a + b)(a² - ab + b²) ⇒ (0.01³ + 0.003³)/25(0.012 - 0.01 × 0.003 + 0.0032) ⇒ (0.01 + 0.003)/25 ⇒ 13/25 × 10- 3

एक शॉपिंग मार्ट किसी वस्तु की बिक्री पर चार अलग-अलग छूट योजनाएँ इस प्रकार प्रदान करता है:

(1) 30% की छूट

(2) 15% की दो क्रमिक छूटें

(3) 2 खरीदें, 1 निशुल्क पाएं

(4) 5 खरीदें, 3 निशुल्क पाएं

कौन-सी छूट योजना ग्राहक को अधिकतम छूट प्रदान करती है?

योजना I. 30% की छूट = 30%

योजना II. 15% की दो क्रमिक छूटें= 15 + 15 - (15 × 15)/100 = 30 - 2.25 = 27.75%

योजना III. 2 खरीदें, 1 निशुल्क पाएं = (निशुल्क प्राप्त वस्तु)/(कुल वस्तुएँ) × 100 = 1/(1 + 2 ) × 100 = 33.33%

योजना IV. 5 खरीदें, 3 निशुल्क पाएं = (निशुल्क प्राप्त वस्तु)/(कुल वस्तुएँ) × 100 = 3/(5 + 3) × 100 = 37.5%

उभयनिष्ठ स्पर्शरेखा की लंबाई = 2√(22 × 16) = 2√(352 सेमी²) = 2 × 4 √(22 सेमी²) = 8√(22)

यदि ΔABC और ΔDEF सर्वांगसम त्रिभुज हैं तो:

AC से DF का अनुपात 1 ∶ 1 है। 

दोनों त्रिभुजों का परिमाप बराबर है। 

AB = DE, और BC = EF है। 

दोनों त्रिभुजों में कोणों का अनुपात समान है।

tan x = 7/5 = P/B

H² = P² + B²  = 7² + 5² = 74 ⇒  h = √74.

\\(\\frac{9 \\sin x - \\frac{42}{5}\\cos x}{15 \\sin x + 21 \\cos x}\\)

⇒ (9 × 7/√74 - 42/5 × 5/√74)/(15 × 7/√74 + 21 × 5/√74) ⇒ (21/√74)/(210/√74) ⇒ 21/210 ⇒ 0.1

माना, दो संख्याएँ x और y हैं। 

x3 - y3 = (x - y)((x + y)2  - xy) ⇒ 6272 = 8(82  + 3xy) ⇒ 784 = (64  + 3xy) ⇒ 784 - 64  = 3xy ⇒ 720  = 3xy ⇒ xy = 240

a/b = 7/6 = k

a = 7k और b = 6k

⇒ \\(\\frac{6a+13b}{6a-13b}\\) ⇒ (6 × 7k + 13 × 6k)/(6 ×​ 7k - 13 × 6k) ⇒ (120k)/(- 36k) ⇒ -10/3

A की गति को va और B की गति को vb मानते हैं। 

⇒ 175/vb  - 200/v_a  = 10  ....(1)

यदि A, B को 45 मीटर की शुरुआत देता है, तो दौड़ बहुत धीमी गति से समाप्त होती है। 

B द्वारा लिया गया समय = (200 - 45)/vb = 155/vb

A द्वारा लिया गया समय = 200/va

∴ 155/v_b = 200/v_a ⇒ v_a = 40/31 × v_b       ----(2)

समीकरण (2) का मान समीकरण (1) में रखने पर हमें प्राप्त होता है,, V_b = 2 

B द्वारा 200 मीटर की दौड़ पूरी करने में लिया गया समय = 175/2 = 87.5 सेकंड 

इसी प्रकार, A द्वारा लिया गया समय = 87.5 - 10 = 77.5 सेकंड होगा। 

राम की दक्षता = 60/15 = 4 पेज/घंटा 

राम और रिया की दक्षता = 180/30 = 6 पेज/घंटा 

रिया की दक्षता = 6 - 4 = 2 पेज/घंटा 

रिया को 20 पेज कॉपी करने में लगने वाला समय ⇒ 20/2= 10 घंटे

(4W + 7M) × 7 = 11,480 ⇒ (4W + 7M) = 1640 ----(i)

(10W + 17M) × 9 = 36360 ⇒ (10W + 17M) = 4040----(ii)

समीकरण (i) और (ii) को हल करने पर,

⇒ 10W + 17.5M = 4100---- (iii)

⇒ 10W + 17M = 4040---- (iv)

⇒ 0.5M = 60 रुपये W = 200 रुपये

11 महिलाओं और 9 पुरुषों द्वारा 13 दिनों में अर्जित धनराशि ⇒ (11 × 200 + 9 × 120) × 13 ⇒ (2200 + 1080) × 13 ⇒ 3280 × 13 = 42640

नोटबुक का क्रय मूल्य = (100/100 + 12%) × 28 ⇒ ( 25/28)× 28  = 25 रुपये

यदि नोटबुक को 26.25 रुपये में बेचा जाता है ⇒ लाभ = 26.25 – 25 = 1.25 रुपये

⇒ लाभ % =(1.25/25) × 100 ⇒ 5%

कुल कार्य = (12, 9) का लघुत्तम समापवर्त्य = 36 इकाइयाँ

A की दक्षता = 36/9 = 4 इकाई/दिन

B की दक्षता = 36/12 = 3 इकाई/दिन

A और B की संयुक्त दक्षता = (3 + 4) = 7 इकाई/दिन

यदि वे इस पर 5 दिनों तक एक साथ कार्य करते हैं = 7 × 5 = 35 इकाई

शेष कार्य का अंश = 1/36 

बस की गति = 60/(4/3) ⇒ 45 किमी/घंटा

हवाई जहाज की गति = 5 × 45 ⇒ 225 किमी/घंटा

25 मिनट में तय की गई दूरी = 225 × 25/60 ⇒ 93.75 किमी 

माना, धनराशि = a रुपये  

⇒ 135 = (a × 4.5 × 1)/100 ⇒ a = 3000

5% पर साधारण ब्याज = (3000 × 5 × 1)/100 ⇒ 150

अतिरिक्त ब्याज = 150 - 135 = 15 रुपये 

निम्नलिखित व्यंजक को हल कीजिए। 

2 + (30 - 26)² ÷ 8^3-2 × 0.5

2 + (30 - 26)2 ÷ 83-2 × 0.5 ⇒ 2 + (4)2 ÷ 81 × 0.5 ⇒ 2 + 2 × 0.5 ⇒ 3

समबाहु त्रिभुज की परिधि = समबाहु त्रिभुज की भुजा/√3

PL = PQ/√3 ⇒ PL = 6/√3 ⇒ PL = 2√3 सेमी 

दिए गए व्यंजक को हल कीजिए। 

15 - (-5) × {4 - (7 - 3)} ÷ [3 × {5 + (-3) × (-6)}]

15 - (-5) × {4 - (7 - 3)} ÷ [3 × {5 + (-3) × (-6)}] ⇒ 15 - (-5) × {0} ÷ [3 × {5 + 18}] ⇒ 15 - (-5) × {0} ÷ [3 × {5 + 18}] ⇒ 15 + 0 ⇒ 15

दिए गए वृत्त आलेख का अध्ययन कीजिए और निम्नलिखित प्रश्न का उत्तर दीजिए।

यदि वृत्त आलेख 3 व्यक्तियों के बीच 36 कंचों का वितरण दर्शाता है, तो माधुरी के पास कुल कंचों की संख्या कितनी है?

माधुरी के पास कंचों की कुल संख्या = 180

360° → 36 कंचे ⇒ 180° → 18

माना, कुल वेतन = a

⇒ a × 3/4 × 41/50 × 21/25 = 861 ⇒ a = (861 × 50 × 25 × 4)/(3 × 41 × 21) ⇒ a = 5000/3 ⇒ a = 1666(2/3)

sin θ + 1/sin θ = √5

x3 + 1/x3 = (x + 1/x)3 - 3(x + 1/x) ⇒ sin3 θ + 1/sin3 θ  = (√5)3 - 3(√5) ⇒ 5√5 - 3√5 = 2√5

cosec²θ - cot²θ = (cosec θ + cot θ)(cosec θ - cot θ) = 1 

cosec θ + cot θ = 3/2 ....(1)

cosec θ - cot θ = 2/3     ....(2)

समीकरण 1 और 2 को हल करने पर, हमें प्राप्त होता है: 

2cosec θ = 13/6  ⇒ cosec θ  = 13/12  

(A + B + C) और (A) और (B) का 1 दिन का कार्य = (1/12) - (1/36) - (1/36) = 1/36

C अकेले उसी कार्य को पूरा करता है = 36 दिनों में 

गोले का आयतन = (4/3)πR3  ⇒ 4/3 × 22/7 × 3.5³ ⇒  4/3 × 22/7 × 42.875 ⇒ 179.67 सेमी3

दिए गए दंड आलेख का ध्यानपूर्वक अध्ययन कीजिए और निम्नलिखित प्रश्न का उत्तर दीजिए। तीनों कंपनियों की औसत मांग और औसत उत्पादन के बीच कितना अंतर है?

Direction: Select the option that expresses the given sentence in passive voice.

One group of the club has raised an undigestible criticism against the manager.

The rule for changing a Present Perfect Tense from Active voice to Passive voice: Interchange the object and subject with each other, i.e. object of the active sentence become the subject of the passive sentence.​ Structure: Object + has/have + been + V3 + by + Subject. (Passive Voice). ​​Correct sentence: An undigestible criticism has been raised by one group of the club against the manager.

Direction: Select the most appropriate idiom that can substitute the underlined segment in the given sentence.

Vinay missed his flight, but good luck came to him from bad circumstances as the flight crashed into the sea.

Direction: Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.

A. The Olympic Games have come to be regarded as the world's foremost sports competition.

B. Olympic Games is an athletic festival that originated in ancient Greece and was revived in the late 19th century.

C. Before the 1970s, the Games were officially limited to competitors with amateur status, but in the 1980s many events were opened to professional athletes.

D. Currently, the Games are open to all, even the top professional athletes in basketball and football (soccer).

Sentence B: This sets the historical context. Sentence C: This provides additional context about the nature of the games. Sentence D: It concludes the paragraph by stating that currently, the Games are open to all, including top professional athletes, showing a shift in the rules and inclusivity over time. Sentence A: It follows up by stating that the Olympic Games are now considered the world's foremost sports competition, establishing their significance. SO, the correct sequence is BCDA.

Direction: Select the most appropriate synonym of the given word.

Earnestly

Direction: Select the option that can be used as a one-word substitute for the given group of words.

A person whose age is between 70 and 79 years old

Direction: The following sentence has been split into four segments. Identify the segment that contains a grammatical error.

I play / cricket in / my childhood / with my sister.

The error lies in the part \"I play.\" The sentence has a tense agreement error. Using \"played\" instead of \"play\" is appropriate because we are referring to a past activity (\"childhood\"). Correct sentence: I played cricket in my childhood with my sister.

Direction: Select the most appropriate synonym of the given word.

Announced

Direction: Select the most appropriate synonym of the given word.

Crooked

Direction: The sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.

A. We recognise some aspects of an SF narrative with the realities of this world and some elements are estranged from the reality so as to take us to an unreal world.

B. Therefore, it is often suggested that 'cognitive estrangement' is a necessary means through which the SF is usually understood.

C. Science Fiction is a genre which manifests in itself the use of scientific premises often in a fantastical manner in a narrative.

D. It is highly seeped into the reality of this world.

CDBA

Direction: Select the most appropriate option to fill in the blank.

The princess firmly held the ______ in her hands.

The word \"rein\" is often associated with controlling and guiding horses, as in holding the reins to direct them. Example: This is a post that will give your talents full rein. When used metaphorically, it can imply control, authority, or influence over a situation. Therefore, if the princess is holding something that signifies her control or influence, \"rein\" would be a suitable word. Correct sentence: The princess firmly held the rein in her hands.

Direction: The following sentence has been split into four segments. Identify the segment that contains a grammatical error.

The historians / are a great / asset to the / field of academia.

Key Points 

\n\t
• The error lies in the part "The historians."
\n\t
• The definite article 'the' is used before a noun when one is referring to something specific.
\n\t
• In the given sentence, using 'the' before 'historians' would suggest that the speaker is referring to a specific group of historians that have already been mentioned or are known to both speaker and listener.
\n\t
• However, when we want to speak generally about all people in a certain group,we should use 'historians' without an article ('the'), similar to how we use 'people' without an article when talking about people in general.
\n

Therefore, the​ correct answer is Option 4.

Correct sentence: Historians are a great asset to the field of academia.

Direction: Select the option that can be used as a one-word substitute for the given group of words.

A formal agreement between two or more nations or peoples

Direction: Select the option that expresses the given sentence in active voice.

The newspaper was read by me.

The structure of the given sentence is as follows: Subject + V2 + Object. (Active Voice). In the passive voice, the action \"reading\" is performed by the doer \"me.\" \"I\" is the subject and \"newspaper\" is the object in the active voice. Correct sentence: I read the newspaper.

Direction: Select the most appropriate synonym of the underlined word.

In order to support countries with a concerted approach for an inclusive, and government-led assessment of post-disaster damages, losses, and recovery needs, as well as the development of a comprehensive recovery plan, the European Commission, the World Bank, and the United Nations adopted the Post Disaster Needs Assessment (PDNA) process in 2008.

Direction: Select the most appropriate option to fill in the blank.

Mosquitoes ______ if there is no water logging.

Direction: Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'.

Delegates of the conflicting countries formally meet at a conference to ironing out their differences.

Direction: Select the most appropriate synonym of the given word from the sentence.

Dangerous

The traffic police have released a safe advisory that driving without seat belts is risky, beneficial, and fearful for human life.

Direction: Choose the most appropriate meaning of the underlined phrase.

Many analysts are tipping stable, blue-chip companies to weather the storm.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Logic: [(First no.) : {(First no. × 2) - 1} : (First no.)2]

(3) 7 : 15 : 49 → [(7) : {(7 × 2) + 1} : (7)2]

Select the figure from among the given options that can replace the question mark (?) in the following series.

Logic: One line is increasing in each image of the series.

15th June → Saturday

Saturday falls on these dates of June: 15 + 7 = 22; 22 + 7 = 29 and 30th June is Sunday.

1st July falls on Monday. Monday falls on these dates: 1 + 7 = 8; 8 + 7 = 15; 15 + 7 = 22; 22 + 7 = 29

30th July falls on Tuesday and 31st July falls on Wednesday.

કયો વિકલ્પ આપેલ શબ્દોનો સાચો ક્રમ દર્શાવે છે કારણ કે તે અંગ્રેજી શબ્દકોશમાં દેખાશે?

1. Elite

2. Elude

3. Elaborate

4. Elapsed

5. Elongate

અંગ્રેજી શબ્દકોશ મુજબ સાચો ક્રમ છે:

3. Elaborate 4. Elapsed 1. Elite 5. Elongate 2. Elude

Select the word-pair that best represents a similar relationship to the one expressed in the pair of words given below.

Portugal : Lisbon

Portugal: Lisbon → Lisbon is the capital of Portugal.

Similarly, Italy: Rome → Rome is the capital of Italy.

Select the correct combination of mathematical signs to sequentially replace the @ signs and to balance the given equation.

72 @ 9 @3 @ 6 @ 6 @ 6 @ 6

(2) ÷, ×, +, =, ×, -

⇒ 72 @ 9 @3 @ 6 @ 6 @ 6 @ 6

After putting the signs:

⇒ 72 ÷ 9 × 3 + 6 = 6 × 6 - 6

Apply BODMAS rule:

⇒  8 × 3 + 6 = 36 - 6

⇒ 24 + 6 = 30

⇒ 30 = 30

Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.

14 : 54 :: 21 : 82 :: 5 : ?

Logic: Second no. = [(First no. × 4) - 2]

for '5 : ?' →

⇒ [(5 × 4) - 2]

⇒ (20 - 2) = 18

Select the figure that will replace the question mark (?) in the following figure series.

Three different positions of the same dice are shown. Find the number on the face opposite to the face showing '3'.

As 2 and 1 are the common faces in figure 1 and figure 2, the remaining faces 6 and 5 are opposite to each other.

As 5 and 2 are the common faces in figure 2 and figure 3, the remaining faces 1 and 4 are opposite to each other.

Remaining faces 2 and 3 will be opposite to each other.

Hence, '2' is the correct answer.

નીચેનામાંથી કઈ સંખ્યા આપેલી શ્રેણીમાં પ્રશ્ન ચિહ્ન (?) ને બદલશે?

18, 20, 22, 27, 32, 39, ?

તેથી, '46' એ સાચો જવાબ છે.

Select the option that represents the letters that, when placed from left to right in the following blanks, will complete the letter-series.

F G H _ Y _ G _ U Y F_ H _ Y F G _ W _

3. T F H G V H Y

F G H T Y / F G H U Y / FG H V Y / F G H W Y

Select the set in which the numbers are related in the same way as are the numbers of the following sets:

(4, 16, 8)

(2, 14, 9)

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed)

Logic: Third no. = [(First no.) + (Second no. ÷ First no.)]

2. (2, 8, 6)

⇒ [2 + (8 ÷ 2)]

⇒ (2 + 4) = 6

Select the correct mirror image from the following options, when the mirror is placed on the right side of the given figure.

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Hence, 'option 4' is the correct answer.

ત્રણ વિધાનો અને ત્યારબાદ I, II અને III ક્રમાંકિત ત્રણ નિષ્કર્ષ આપવામાં આવ્યા છે. વિધાનોમાં આપેલી માહિતી સામાન્ય રીતે જાણીતા તથ્યોથી અલગ હોય તેમ લાગતી હોય તો પણ તેને સાચી માનીને, નક્કી કરો કે કયા નિષ્કર્ષ(ષો) વિધાનોનું તાર્કિક રીતે અનુસરણ કરે છે.

વિધાનો:

કેટલીક બોટ (boats) શિપ (ships) છે.

બધી શિપ (ships) યોટ (yachts) છે.

બધી યોટ (yachts) બાર્જ (barges) છે.

નિષ્કર્ષ:

I. કેટલીક બાર્જ (barges) શિપ (ships) છે.

II. કેટલીક બાર્જ (barges) બોટ (boats) છે.

III. કેટલીક યોટ (yachts) બોટ (boats) છે.

I. કેટલીક બાર્જ શિપ છે. → અનુસરે છે (કારણ કે, બધી શિપ યોટ છે અને બધી યોટ બાર્જ છે)

II. કેટલીક બાર્જ બોટ છે. → અનુસરે છે (કારણ કે, કેટલીક બોટ શિપ છે, બધી શિપ યોટ છે અને બધી યોટ બાર્જ છે)

III. કેટલીક યોટ બોટ છે. → અનુસરે છે (કારણ કે, કેટલીક બોટ શિપ છે અને બધી શિપ યોટ છે)

તેથી, 'બધા જ નિષ્કર્ષો અનુસરે છે' એ સાચો જવાબ છે.

તેથી, 'FUOJUTFS' સાચો જવાબ છે.

Select the option that is related to the sixth letter-cluster in the same way as the first letter-cluster is related to the second letter-cluster and the third letter-cluster is related to the fourth letter-cluster.

EKH : BIE :: MGP : JEM :: ? : QDI

Hence, 'TFL' is the correct answer.

Select the set in which the numbers are related in the same way as are the numbers of the following sets.

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /Subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)

(4, 14, 828)

(3, 10, 620)

Logic: Third no. = [{(First no. × 100) + Second no.} × 2]

2. (2, 50, 500)

⇒ [{(2 × 100) + 50} × 2]

⇒ [(200 + 50) × 2]

⇒ (250 × 2) = 500

બતાવ્યા પ્રમાણે જ્યારે મિરર MN લાઇન પર મૂકવામાં આવે ત્યારે આપેલ સંયોજનની સાચી મિરર ઇમેજ પસંદ કરો.

ના

તેથી, ' વિકલ્પ 4 ' સાચો જવાબ છે.

આપેલ આકૃતિમાં બંધબેસતી વિકલ્પ આકૃતિ પસંદ કરો (ફેરવવાની મંજૂરી નથી).

તેથી, 'વિકલ્પ 2' સાચો જવાબ છે.

In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.

Statements:

Some roses are yellow.

Some yellow are buses.

All buses are green.

Conclusions:

I. All yellow are roses.

II. Some buses are yellow.

III. All yellow are green.

I. All yellow are roses. → Does not follow (As, Some roses are yellow and Some yellow are buses → Some yellow are roses)

II. Some buses are yellow. → Follows (As, Some yellow are buses)

III. All yellow are green. → Does not follow (As, Some yellow are buses and All buses are green → Some yellow are green)

Hence, 'Only conclusion II follows' is the correct answer.

Which of the following terms will replace the question mark (?) in the given series?

ZBQ, BFL, ?, FNB, HRW, JVR

Hence, 'DJG' is the correct answer.

Select the set in which the numbers are related in the same way as are the numbers of the following sets.

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /Subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed)

(10, 5, 65)

(9, 8, 89)

Logic: Third no. = [(First no. × Second no.) + (First no. + Second no.)]

3. (4, 5, 29)

⇒ [(4 × 5) + (4 + 5)]

⇒ (20 + 9) = 29

આપેલા શબ્દોને અંગ્રેજી શબ્દકોશમાં દેખાય તે ક્રમમાં દર્શાવતો વિકલ્પ પસંદ કરો.

1. Breakdown

2. Brevity

3. Breathe

4. Breeding

5. Breeze

6. Breakfast

(2) 1, 6, 3, 4, 5, 2

1. Breakdown 6. Breakfast 3. Breathe 4. Breeding 5. Breeze 2. Brevity

Three of the following four letter-clusters are alike in a certain way and one is different. 

Pick the odd one out.

Logic: First and Second letter are exactly opposite to each other; First letter - 2 = Third letter

4. JOH → J ↔ Q ≠ O' J - 2 = H

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Select the set in which the numbers are related in the same way as are the numbers of the given sets.

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding/subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

(6, 4, 8)

(17, 6, 28)

Logic: First no. = [(Second no. + Third no.) ÷ 2]

4. (13, 5, 21)

⇒ [(5 + 21) ÷ 2]

⇒ (26 ÷ 2) = 13

Prime Minister announced the fortification of rice by 2024. The fortification of rice means adding essential micronutrients such as iron, zinc, and Vitamin B12 to the rice to improve its nutritional value.

શરથ કમલ તમિલનાડુ, ભારતના ટેબલ ટેનિસ ખેલાડી છે. તેમને 2019માં પદ્મશ્રી, ભારતનો ચોથો સૌથી મોટો નાગરિક પુરસ્કાર અને 2022માં ખેલ રત્ન પુરસ્કાર, ભારતનો સૌથી મોટો રમતગમત પુરસ્કાર મળ્યો છે.

પંડિત અયોધ્યા પ્રસાદ પર્ક્યુસન વાદ્યો સાથે સંકળાયેલા છે. પર્ક્યુસન વાદ્યો એ સંગીતનાં સાધનો છે જે મારવાથી, હલાવવાથી અથવા ઘસવાથી વગાડવામાં આવે છે.

કોષપટલ અંગે નીચેનામાંથી કયું વિધાન સાચું છે?

I. પટલ તેની બંને બાજુએ હાજર કેટલાક અણુઓ માટે પસંદગીયુક્ત રીતે અભેદ્ય છે.

II. પાણી પણ આ પટલમાં નીચલીથી ઉચ્ચ સાંદ્રતા તરફ ગતિ કરે છે.

સાચો જવાબ ફક્ત I છે.
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  કોષ પટલ એક પાતળું, લવચીક પટલ છે જે કોષની અંદરના ભાગને તેના બાહ્ય વાતાવરણથી અલગ કરે છે.

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  તે પસંદગીયુક્ત રીતે અભેદ્ય છે, જેનો અર્થ છે કે તે કેટલાક પદાર્થોને પસાર થવા દે છે જ્યારે અન્યને કોષમાં પ્રવેશતા અથવા નીકળતા અટકાવે છે.

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  આ પસંદગીની વિવિધ પદ્ધતિઓ જેમ કે આયન શૃંખલાઓ, પરિવાહકો અને દબાણ દ્વારા પ્રાપ્ત થાય છે.

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  આશ્રુતિ નામની પ્રક્રિયા દ્વારા પણ પાણી સમગ્ર પટલમાં આગળ વધી શકે છે, પરંતુ તે હંમેશા વધુ સાંદ્રતાવાળા ક્ષેત્રમાંથી નીચી સાંદ્રતાના ક્ષેત્રમાં ગતિ કરે છે.

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Additional Information

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  લિપિડ દ્વિ-સ્તર જે કોષ પટલ બનાવે છે તે કોલેસ્ટ્રોલ સાથેના બે ફોસ્ફોલિપિડ સ્તરોથી બનેલું છે, એક લિપિડ ઘટક, જે વિવિધ તાપમાને પટલની યોગ્ય પ્રવાહીતા જાળવવા માટે વચ્ચે વિખરાયેલું છે.

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  વધુમાં, પટલમાં પટલ પ્રોટીન હાજર હોય છે.

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  આ પ્રોટીનમાં અવિભાજ્ય પ્રોટીનનો સમાવેશ થાય છે, જે પટલને ફેલાવે છે અને પટલ વાહકો તરીકે કાર્ય કરે છે, અને પરિઘવર્તી પ્રોટીન, જે કોષ પટલની બાહ્ય (પરિઘવર્તી) બાજુએ ધીમેથી વળગી રહે છે અને આસપાસના વાતાવરણ સાથે ક્રિયાપ્રતિક્રિયાને પ્રોત્સાહન આપવા માટે ઉત્સેચકો તરીકે કાર્ય કરે છે.

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  બાહ્ય લિપિડ સ્તરમાં જડિત ગ્લાયકોલિપિડ્સનું કાર્ય તુલનાત્મક છે.

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  વધુમાં, કોષ પટલ કોષ દિવાલ સહિત સંખ્યાબંધ બાહ્યકોષીય બંધારણો માટે જોડાણ સપાટી તરીકે કાર્ય કરે છે અને કોષ સંલગ્નતા, આયન વાહકતા અને કોષ સંકેતો સહિતની સંખ્યાબંધ કોષીય પ્રવૃત્તિઓમાં સામેલ છે.

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Beach Volleyball teams do not have substitute players. Played on a sand court divided by a net, beach volleyball is a team sport between two teams of two or more players.

Microfinance loan is a collateral-free loan, meaning that it does not require any lien on the borrower's deposit account.

The E-Waste Management Rules notified by the Union Ministry of Environment, Forest, and Climate Change will come into force from April 1, 2023. These rules are aimed at regulating the management of e-waste, which is a major environmental hazard due to the presence of toxic substances.

આવરી લેવાયેલ કુલ અંતર = 350 કિમી + 450 કિમી = 800 કિમી

કુલ સમય = 5 કલાક + 5 કલાક = 10 કલાક

સરેરાશ ઝડપ = કુલ અંતર/ કુલ સમય = 800/10 = 80 કિમી/કલાક

નીચેનાને સરળ બનાવો.

\\(\\frac{0.01 \\times 0.01 \\times 0.01 +0.003 \\times 0.003 \\times 0.003}{0.05 \\times 0.05 - 0.015 \\times 0.05+0.015 \\times 0.015}\\)

a3 + b3 = (a + b)(a2 - ab + b2) ⇒ (0.013 + 0.0033)/25(0.012 - 0.01 × 0.003 + 0.0032) ⇒ (0.01 + 0.003)/25 ⇒ 13/25 × 10- 3

શોપિંગ માર્ટ નીચે પ્રમાણે વસ્તુના વેચાણ પર ચાર અલગ-અલગ ડિસ્કાઉન્ટ સ્કીમ આપે છે:

(1) 30% નું ડિસ્કાઉન્ટ

(2) 15% નું સતત બે ડિસ્કાઉન્ટ

(3) 2 ખરીદો, 1 મફત મેળવો

(4) 5 ખરીદો, 3 મફત મેળવો

કઈ ડિસ્કાઉન્ટ સ્કીમ ગ્રાહકને મહત્તમ ડિસ્કાઉન્ટ આપે છે?

સ્કીમ I. 30% = 30% નું ડિસ્કાઉન્ટ

સ્કીમ II. 15% ના સતત બે ડિસ્કાઉન્ટ= 15 + 15 - (15 x 15)/100 = 30 - 2.25 = 27.75%

સ્કીમ III. 2 ખરીદો 1 મફત મેળવો = (વસ્તુ મફત મેળવો)/(કુલ વસ્તુઓ) x 100 = 1/(1 + 2) x 100 = 33.33%

સ્કીમ IV. 5 ખરીદો 3 મફત = (વસ્તુ મફત મેળવો)/(કુલ વસ્તુઓ) x 100 = 3/(5 + 3) x 100 = 37.5%

Length of common tangent = 2√(22 × 16) = 2√(352cm²) = 2 × 4 √(22cm²) = 8√(22)

If ΔABC and ΔDEF are congruent triangles then:

The ratio of AC to DF is 1 ∶ 1

The perimeter of both triangles is equal.

AB = DE, and BC = EF.

The ratio of the angles in both triangles is the same.

tan x = 7/5 = P/B

H² = P² + B² = 7² + 5² = 74 ⇒ h = √74.

\\(\\frac{9 \\sin x - \\frac{42}{5}\\cos x}{15 \\sin x + 21 \\cos x}\\)

⇒ (9 x 7/√74 - 42/5 x 5/√74)/(15 x 7/√74 + 21 x 5/√74) ⇒ (21/√74)/(210/√74) ⇒ 21/210 ⇒ 0.1

ધારોકે બે સંખ્યાઓ x અને y છે.

x3 - y3 = (x - y)((x + y)2  - xy) ⇒ 6272 = 8(82  + 3xy) ⇒ 784 = (64  + 3xy) ⇒ 784 - 64  = 3xy ⇒ 720  = 3xy ⇒ xy = 240

a/b = 7/6 = k

a = 7k and b = 6k

⇒ \\(\\frac{6a+13b}{6a-13b}\\) ⇒ (6 × 7k + 13 × 6k)/(6 ×​ 7k - 13 × 6k) ⇒ (120k)/(- 36k) ⇒ -10/3

આપેલ

200-મી.ની સુરેખ રેસમાં, જો A એ B ને 25 મીટરની શરૂઆત આપે છે, તો A એ 10 સેકન્ડથી રેસ જીતે છે.

સૂત્ર

અંતર = ઝડપ × સમય

ગણતરી

ચાલો A ની ઝડપ va તરીકે અને B ની ઝડપ  vb ધારીએ

પછી, A દ્વારા દોડવામાં આવેલ 200 M રેસ અંતર = 200 m 

25 M ની પ્રારંભિક અગ્રતા મેળવ્યા પછી B દ્વારા દોડવામાં આવેલું અંતર= 175 મીટર

A દ્વારા લેવાયેલ સમય = 200/va

B દ્વારા લેવાયેલ સમય = 175/vb 

B ની પાછળ 10 સેકન્ડનો અભાવ હોવાથી B દ્વારા લેવાયેલ સમય A ની સરખામણીમાં 10 સેકન્ડ વધુ છે,

⇒ 175/vb - 200/va = 10

જો A, B ને 45 મીટરની પ્રારંભિક અગ્રતા આપે છે, તો રેસ એક સાથે સમાપ્ત થાય છે,

B દ્વારા લેવાયેલ સમય  = (200 - 45)/vb = 155/vb

A દ્વારા લેવાયેલ સમય = 200/va

બંને એક જ સમયે સમાપ્ત થાય છે,

∴ 155/vb = 200/va

⇒ va = 40/31 × vb ----(2)

(1) માં (2) મૂકવાથી, આપણને મળે છે,

Vb = 2

B દ્વારા 200M રેસ પૂર્ણ કરવામાં સમય લાગશે 175/2 = 87.5 સેકન્ડ

આમ A દ્વારા લેવાયેલ સમય = 787.5 - 10 = 77.5 સેકન્ડ

A એ 200m દોડવામાં 77.5 સેકન્ડ લે છે.

\nAlternate Method

પ્રથમ કિસ્સામાં:

A રન = 200m, B રન = (200-25)m = 175m

A ને 200m દોડવા માટે xs લેવા દો, તો B 175m માટે (x+10) s લેશે

બીજા કિસ્સામાં:

A રન = 200m, B રન = (200-45)m = 155m

B દ્વારા 155m ચલાવવામાં લાગેલો સમય = A દ્વારા 200m = xs ચલાવવામાં લાગેલો સમય

પ્રથમ અને બીજા કિસ્સાઓ પરથી, તે સ્પષ્ટ છે કે (175-155)m = 20m વધારાની દોડ માટે B 10 સેકન્ડ વધારાનો સમય લે છે.

આમ B = 20m/10s = 2m/s ની ઝડપ

તેથી, A દ્વારા 200m ચલાવવામાં લાગેલો સમય = B દ્વારા 155m = 155/2 = 77.5 સેકંડ ચલાવવામાં લાગેલો સમય

રામની કાર્યક્ષમતા = 60/15= 4 પેજ/કલાક છે

રામ અને રિયાની કાર્યક્ષમતા = 180/30 = 6 પેજ/મિનિટ

રિયાની કાર્યક્ષમતા = 6 - 4 = 2 પેજ/મિનિટ

રિયા દ્વારા 20 પેજની કોપી કરવામાં જે સમય લાગશે તે ⇒ 20/2= 10 કલાક હશે

(4W + 7M) × 7 = 11,480 ⇒ (4W + 7M) = 1640 ----(i)

(10W + 17M) × 9 = 36360 ⇒ (10W + 17M) = 4040----(ii)

solving equations (i) and (ii)

⇒ 10W + 17.5M = 4100---- (iii)

⇒ 10W + 17M = 4040---- (iv)

⇒ 0.5M = Rs. 60 and W = Rs.200

Money earned by 11 women and 9 men in 13days ⇒ (11 × 200 + 9 × 120) × 13 ⇒ (2200 + 1080) × 13 ⇒ 3280 × 13 = 42640

આપેલ:

નોટબુકની વેચાણ કિંમત = રૂ. 28

નફાની ટકાવારી = 12%

નોટબુકની નવી વેચાણ કિંમત = 26.25

વપરાયેલ ખ્યાલ:

પડતર કિંમત = (100/100 + નફો%) × વેચાણ કિંમત

નફો % = (નફો/CP) × 100

ગણતરી:

પેનની પડતર કિંમત = (100/100 + 12%) × 28 \" id=\"MathJax-Element-20-Frame\" role=\"presentation\" style=\"position: relative;\" tabindex=\"0\">\" id=\"MathJax-Element-37-Frame\" role=\"presentation\" style=\"position: relative;\" tabindex=\"0\">\" id=\"MathJax-Element-204-Frame\" role=\"presentation\" style=\"position: relative;\" tabindex=\"0\">\" id=\"MathJax-Element-97-Frame\" role=\"presentation\" style=\"position: relative;\" tabindex=\"0\">

પેનની કિંમત = ( 25/28) × 28

= 25 રૂ

જ્યારે પેન રૂ. 26.25માં વેચાય છે,

⇒ નફો = વેચાણ કિંમત - પડતર કિંમત

⇒ નફો = 26.25 – 25 = રૂ. 1.25

⇒ તેથી, નફો % =(1.25/25) × 100

⇒ 5%

નફાની ટકાવારી 5% હશે.

Total work = L.C.M. of (12, 9) = 36 units

Efficiency of A = 36/9 = 4 units/day

Efficiency of B = 36/12 = 3 units/day

Combined efficiency of A and B = (3 + 4) = 7 units/day

If they work together on it for 5 days = 7 × 5 = 35 unit

The fraction of the work left is = 1/36

Speed of bus = 60/(4/3) ⇒ 45 km/hr

Speed of aeroplane = 5 × 45 ⇒ 225 km/hr

Distance covered in 25 minutes = 225 × 25/60 ⇒ 93.75 km

ધારો કે ડિપોઝિટ = રૂ. a

⇒ 135 = (a × 4.5 × 1)/100 ⇒ a = 3000

5% પર સાદું વ્યાજ = (3000 × 5 × 1)/100 ⇒ 150

વધારાનું વ્યાજ = 150 - 135 = રૂ. 15

Simplify the following expression.

2 + (30 - 26)² ÷ 8^3-2 × 0.5

2 + (30 - 26)2 ÷ 83-2 × 0.5 ⇒ 2 + (4)2 ÷ 81 × 0.5 ⇒ 2 + 2 × 0.5 ⇒ 3

Circumradius of Equilateral triangle = side of equilateral triangle/√3

PL = PQ/√3 ⇒ PL = 6/√3 ⇒ PL = 2√3 cm.

આપેલ સમીકરણ સરળ બનાવો.

15 - (-5) x {4 - (7 - 3)} ÷ [3 x {5 + (-3) x (-6)}]

15 - (-5) x {4 - (7 - 3)} ÷ [3 x {5 + (-3) x (-6)}] ⇒ 15 - (-5) x {0} ÷ [3 x {5 + 18}] ⇒ 15 - (-5) x {0} ÷ [3 x {5 + 18}] ⇒ 15 + 0 ⇒ 15

Study the given pie-chart and answer the question that follows.

If the pie-chart shows the distribution of 36 marbles among 3 persons, then the number of marbles Madhuri has is:

The number of marbles Madhuri has = 180

360° → 36 marbles ⇒ 180° → 18

Let total salary = a

⇒ a × 3/4 × 41/50 × 21/25 = 861 ⇒ a = (861 × 50 × 25 × 4)/(3 × 41 × 21) ⇒ a = 5000/3 ⇒ a = 1666(2/3).

sin θ + 1/sin θ = √5

x 3 + 1/x 3 = (x + 1/x) 3 - 3(x + 1/x) ⇒ sin 3 θ + 1/sin 3 θ = ( √5 ) 3 - 3( √5 ) ⇒ 5 √ 5 - 3 √5 = 2 √5

cosec²θ - cot²θ = (cosec θ + cot θ)(cosec θ - cot θ) = 1 

cosec θ + cot θ = 3/2 ....(1)

cosec θ - cot θ = 2/3     ....(2)

Solving equations 1 and 2 , we get 

2cosec θ = 13/6  ⇒ cosec θ  = 13/12  

1-day work of (A + B + C) and (A) and (B) = (1/12) - (1/36) - (1/36) = 1/36

Total time taken by C alone = 36 days.

ગોળાનું ઘનફળ = (4/3)πR3  ⇒ 4/3 × 22/7 × 3.53 ⇒  4/3 × 22/7 × 42.875 ⇒ 179.67 સેમી3

આપેલ બાર ગ્રાફનો કાળજીપૂર્વક અભ્યાસ કરો અને નીચેના પ્રશ્નનો જવાબ આપો. ત્રણેય કંપનીઓના સરેરાશ માંગ અને સરેરાશ ઉત્પાદન વચ્ચેનો તફાવત શું છે?

Direction: Select the option that expresses the given sentence in passive voice.

One group of the club has raised an undigestible criticism against the manager.

The rule for changing a Present Perfect Tense from Active voice to Passive voice: Interchange the object and subject with each other, i.e. object of the active sentence become the subject of the passive sentence.​ Structure: Object + has/have + been + V3 + by + Subject. (Passive Voice). ​​Correct sentence: An undigestible criticism has been raised by one group of the club against the manager.

Direction: Select the most appropriate idiom that can substitute the underlined segment in the given sentence.

Vinay missed his flight, but good luck came to him from bad circumstances as the flight crashed into the sea.

Direction: Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.

A. The Olympic Games have come to be regarded as the world's foremost sports competition.

B. Olympic Games is an athletic festival that originated in ancient Greece and was revived in the late 19th century.

C. Before the 1970s, the Games were officially limited to competitors with amateur status, but in the 1980s many events were opened to professional athletes.

D. Currently, the Games are open to all, even the top professional athletes in basketball and football (soccer).

Sentence B: This sets the historical context. Sentence C: This provides additional context about the nature of the games. Sentence D: It concludes the paragraph by stating that currently, the Games are open to all, including top professional athletes, showing a shift in the rules and inclusivity over time. Sentence A: It follows up by stating that the Olympic Games are now considered the world's foremost sports competition, establishing their significance. SO, the correct sequence is BCDA.

Direction: Select the most appropriate synonym of the given word.

Earnestly

Direction: Select the option that can be used as a one-word substitute for the given group of words.

A person whose age is between 70 and 79 years old

Direction: The following sentence has been split into four segments. Identify the segment that contains a grammatical error.

I play / cricket in / my childhood / with my sister.

The error lies in the part \"I play.\" The sentence has a tense agreement error. Using \"played\" instead of \"play\" is appropriate because we are referring to a past activity (\"childhood\"). Correct sentence: I played cricket in my childhood with my sister.

Direction: Select the most appropriate synonym of the given word.

Announced

Direction: Select the most appropriate synonym of the given word.

Crooked

Direction: The sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.

A. We recognise some aspects of an SF narrative with the realities of this world and some elements are estranged from the reality so as to take us to an unreal world.

B. Therefore, it is often suggested that 'cognitive estrangement' is a necessary means through which the SF is usually understood.

C. Science Fiction is a genre which manifests in itself the use of scientific premises often in a fantastical manner in a narrative.

D. It is highly seeped into the reality of this world.

CDBA

Direction: Select the most appropriate option to fill in the blank.

The princess firmly held the ______ in her hands.

The word \"rein\" is often associated with controlling and guiding horses, as in holding the reins to direct them. Example: This is a post that will give your talents full rein. When used metaphorically, it can imply control, authority, or influence over a situation. Therefore, if the princess is holding something that signifies her control or influence, \"rein\" would be a suitable word. Correct sentence: The princess firmly held the rein in her hands.

Direction: The following sentence has been split into four segments. Identify the segment that contains a grammatical error.

The historians / are a great / asset to the / field of academia.

Key Points 

\n\t
• The error lies in the part "The historians."
\n\t
• The definite article 'the' is used before a noun when one is referring to something specific.
\n\t
• In the given sentence, using 'the' before 'historians' would suggest that the speaker is referring to a specific group of historians that have already been mentioned or are known to both speaker and listener.
\n\t
• However, when we want to speak generally about all people in a certain group,we should use 'historians' without an article ('the'), similar to how we use 'people' without an article when talking about people in general.
\n

Therefore, the​ correct answer is Option 4.

Correct sentence: Historians are a great asset to the field of academia.

Direction: Select the option that can be used as a one-word substitute for the given group of words.

A formal agreement between two or more nations or peoples

Direction: Select the option that expresses the given sentence in active voice.

The newspaper was read by me.

The structure of the given sentence is as follows: Subject + V2 + Object. (Active Voice). In the passive voice, the action \"reading\" is performed by the doer \"me.\" \"I\" is the subject and \"newspaper\" is the object in the active voice. Correct sentence: I read the newspaper.

Direction: Select the most appropriate synonym of the underlined word.

In order to support countries with a concerted approach for an inclusive, and government-led assessment of post-disaster damages, losses, and recovery needs, as well as the development of a comprehensive recovery plan, the European Commission, the World Bank, and the United Nations adopted the Post Disaster Needs Assessment (PDNA) process in 2008.

Direction: Select the most appropriate option to fill in the blank.

Mosquitoes ______ if there is no water logging.

Direction: Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'.

Delegates of the conflicting countries formally meet at a conference to ironing out their differences.

Direction: Select the most appropriate synonym of the given word from the sentence.

Dangerous

The traffic police have released a safe advisory that driving without seat belts is risky, beneficial, and fearful for human life.

Direction: Choose the most appropriate meaning of the underlined phrase.

Many analysts are tipping stable, blue-chip companies to weather the storm.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.

Direction: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.

Any ______ (1) ______ that revolves around a planet is a satellite. Mother Earth has a natural satellite in the moon. The earth is circled by a lot of man-made or artificial satellites. In 1957, the Soviet Sputnik was the first to be ______ (2) ______ into space. There are currently a number of artificial satellites launched into space by various nations.

These satellites make it possible for us to talk on the phone, watch television, predict the weather, map the various surfaces of the earth and learn more about the world in which we live.

How does a satellite get started? It is typically launched into space by means of a rocket. After ascending into the thinner air layers above the earth, the satellite is released from the rocket. For a successful satellite launch, a rocket's speed is carefully calculated and controlled. Every object in space is pushed toward the earth's centre by gravity. The inertia of motion will propel the object into space if it has its own velocity of motion. When the orbital velocity is exactly right, these two opposing forces are balanced, causing the satellite to ______ (3) ______  toward the earth while still hovering over its surface.

A satellite is said to be in geo-stationary orbit when it completes one revolution around the earth in a 24-hour period; It doesn't change when compared to a point on the surface of the earth. These orbits are typically used by satellites for communication and weather. The camera on the weather satellites takes pictures and sends them back to Earth. These are helping aid in weather forecasting. Radio receivers and amplifiers on communication satellites can ______ (4) ______  waves back at a frequency that is different from the one the satellite received. The beaming frequencies of satellites that are 'parked' too close to one another must not interfere with one another. Television signals can be transmitted from one location to other using broadcast satellites, and scientists can ______ (5) ______  scientific data from numerous satellites.