Efficiency of B = (4 - 1) = 3 units/day

Time taken to complete the work alone = 14/3 days.

\\(\\frac{r^2}{15^2}+\\frac{s^2}{16^2}\\) ⇒ {15 (sin θ + cos θ)}2/15² +  {16 (sin θ - cos θ)}2/16² ⇒ {225 × (1 + 2sin θ cos θ)}/225 + {256 × (1 - 2sin θ cos θ)/256} ⇒ 1 + 1 = 2

The following table shows the percentage of population of four states below poverty line and the proportion of males and females below and above poverty line.

If the total population of State B is 7,200 , then what is the number of females below poverty line in that state?

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

Does she prepare the lesson?

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. And also, they contribute to the development of social and environmental solutions for the planet's future.

B. Companies do play an important role in modern society.

C. Because of their systematic relevance and their impact on policy-making, companies must use their influence in ways that benefit the public good.

D. Some corporations have become so large that their activities and strategic decisions have a direct impact on government policy and citizens' lives.

Select the most appropriate meaning of the underlined idiom in the following sentence.

I just went to Bali on a backpacking trip and did everything by the ear without any itinerary.

Select the option that is OPPOSITE in meaning to the given word.

Jubilant

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

Changing secret and coded messages in a readable form

Identify the INCORRECTLY spelt word in the given sentence.

Successful people often have a role modal who inspired them to greatness.

Choose the option that rectifies the incorrectly spelt underlined word.

Mr. Singh is a phenomenally sucsesful salesperson.

Select the most appropriate ANTONYM of the given word.

Grow

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

Enjoying or affording warm secure shelter or cover and opportunity for ease and contentment

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

Kind, generous, and forgiving.

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

You wash / the dishes / and / I dry the same.

Select the grammatically correct sentence.

A. As a nation, India is a united country and shall always remain so.

B. As nation, India is a united country and shall always remain so.

C. As the nation, India is a united country and shall always remain so.

D. As a nation, India is an united country and shall always remain so.

Select the most appropriate option to fill in the blank.

I take my _____ off to our freedom fighters for their service to our country.

Select the most appropriate option to fill in the blank.

_____ droplets settled on top of leaves.

Select the most appropriate ANTONYM of the underlined word to fill in the blank.

Instead of becoming joyous to hear the breaking news, she became _________.

Select the most appropriate option that can substitute the underlined segment in the given sentence.

The young boy displayed an aptitude on scientific research.

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

The magazine house was expecting unpublished authors for their forthcoming exclusive issue on new trends.

Select the correct option to substitute the underlined segment in the given sentence.

He had given me that book in 1999.

Select the most appropriate synonym of the given word.

Predicament

Select the most appropriate ANTONYM of the underlined word.

His knowledge is superficial in nature.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

तर्क: अंग्रेजी वर्णमाला क्रम के अनुसार स्थितीय मान से (3) और (2) को एकांतर रूप से घटाया जाता है।

इसलिए,

\n\t
• 'KINDLE' को किस प्रकार कूटबद्ध किया जाएगा?
\n

दी गई शृंखला को पूरा करने के लिए कौन सा अक्षर-समूह प्रश्न चिह्न (?) को प्रतिस्थापित करेगा?

BAWP, ?, DWCH, EUFD, FSIZ

तर्क :

\n\t
• पहले और तीसरे अक्षर → अंग्रेजी वर्णमाला शृंखला के अनुसार स्थितीय मान में क्रमशः (1) और (3) को जोड़ा जाता है।
\n\t
• दूसरे और चौथे अक्षर → अंग्रेजी वर्णमाला शृंखला के अनुसार स्थितीय मान से क्रमशः (2) और (4) को घटाया जाता है।
\n

इसलिए,

​

​इसलिए, "CYZL" सही उत्तर है।

निम्नलिखित समीकरण को सही बनाने के लिए किन दो चिह्नों और दो संख्याओं को परस्पर बदला जाना चाहिए?

840 ÷ 38 - 7 + 10 × 12 = 462

दिया गया कथन: 840 ÷ 38 - 7 + 10 × 12 = 462

प्रश्न के अनुसार, चिह्नों और संख्याओं को बदलने के बाद:

इसलिए,

\n\t
• विकल्प - (1) : 12 और 10, ÷ और +
\n

840 ÷ 38 - 7 + 10 × 12 = 462 ⇒ 840 + 38 - 7 ÷ 12 × 10 = 462

840 + 38 - 0.58 × 10 = 462

840 + 38 - 5.8 = 462

878 - 5.8 = 462

872.2 ≠ 462 (LHS (बायाँ पक्ष) ≠ RHS (दायाँ पक्ष))

\n\t
• विकल्प - (2) : 12 और 38, × और -
\n

840 ÷ 38 - 7 + 10 × 12 = 462 ⇒ 840 ÷ 12 × 7 + 10 - 38 = 462

70 × 7 + 10 - 38 = 462

490 + 10 - 38 = 462

500 - 38 = 462

462 = 462 (LHS = RHS)

\n\t
• विकल्प - (3) : 12 और 7, + और ×
\n

840 ÷ 38 - 7 + 10 × 12 = 462 ⇒ 840 ÷ 38 - 12 × 10 + 7 = 462

22.10 - 12 × 10 + 7 = 462

22.10 + 7 - 120 = 462

29.10 - 120 = 462

-90.9 ≠ 462 (LHS ≠ RHS)

\n\t
• विकल्प - (4) : 840 और 10, + और -
\n

840 ÷ 38 - 7 + 10 × 12 = 462 ⇒ 10 ÷ 38 + 7 - 840 × 12 = 462

0.26 + 7 - 840 × 12 = 462

0.26 + 7 - 10080 = 462

7.26 - 10080 = 462

-10072.74 ≠ 462 (LHS ≠ RHS)

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

1. Typographical

2. Typologically

3. Typifications

4. Typicalness

5. Tyrannosaurus

शब्दकोश में अनुक्रम के अनुसार:

4. Typicalness

3. Typifications

1. Typographical

2. Typologically

5. Tyrannosaurus

उस विकल्प का चयन करें जो उन अक्षरों को दर्शाता है, जिन्हें नीचे रिक्त स्थान में बाएँ से दाएँ रखने पर अक्षर शृंखला पूरी हो जाएगी।

N M L _ J N _ L J J _ M L J _ N M _ J J

दिया गया है: N M L _ J N _ L J J _ M L J _ N M _ J J   

विकल्पों की जाँच करने पर:

\n\t
1. J M N J L → N M L J J N M L J J N M L J J N M L J J → (यह : NMLJJ - NMLJJ - NMLJJ - NMLJJ के पैटर्न का अनुसरण करता है)
\n\t
2. J N L M J → N M L J J N N L J J L M L J M N M J J J → (यह पैटर्न का अनुसरण नहीं करता है)
\n\t
3. M N L J M → N M L M J N N L J J L M L J J N M M J J → (यह पैटर्न का अनुसरण नहीं करता है)
\n\t
4. M N J L N → N M L M J N N L J J J M L J L N M N J J → (यह पैटर्न का अनुसरण नहीं करता है)
\n

⇒ विकल्प - (1) "N M L J J - N M L J J - N M L J J - N M L J J" का पैटर्न देता है।

अतः, "J M N J L" सही उत्तर है।

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

9 *  16 * 64 * 8 *  2 * 9

दिया गया कथन​: 9 *  16 * 64 * 8 *  2 * 9 

प्रश्न के अनुसार, * चिह्नों को बदलने के बाद:

इसलिए,

\n\t
• विकल्प - (1) : ÷, +, ×, -, =
\n

9 *  16 * 64 * 8 *  2 * 9 ⇒ 9 ÷ 16 + 64 × 8 -  2 = 9 

0.56 + 64 × 8 -  2 = 9

0.56 + 512 - 2 = 9

512.56 - 2 = 9

510.56 ≠ 9 (LHS (बायाँ पक्ष) ≠ RHS (दायाँ पक्ष))

\n\t
• विकल्प - (2) : -, ÷, +, ×, = 
\n

9 *  16 * 64 * 8 *  2 * 9 ⇒ 9 - 16 ÷ 64 + 8 × 2 = 9

9 - 0.25 + 8 × 2 = 9

9 + 16 - 0.25 = 9

25 - 0.25 = 9

24.75 ≠ 9 (LHS ≠ RHS)

\n\t
• विकल्प - (3) : +, ÷, ×, -, =
\n

9 *  16 * 64 * 8 *  2 * 9 ⇒ 9 + 16 ÷ 64 × 8 - 2 = 9

9 + 0.25 × 8 - 2 = 9

9 + 2 - 2 = 9

11 - 2 = 9

9 = 9 (LHS = RHS)

\n\t
• विकल्प - (4) : ÷, -, +, ×, =
\n

9 *  16 * 64 * 8 *  2 * 9 ⇒ 9 ÷ 16 - 64 + 8 ×  2 = 9

0.56 - 64 + 8 ×  2 = 9

0.56 + 16 - 64 = 9

16.56 - 64 = 9

-47.44 ≠ 9 (LHS ≠ RHS)

दिया गया कथन: एक परिवार विभाजित हो गया और R के बच्चों को R के नाना की इकलौती नातिन के पिता के पास छोड़ दिया गया था।

इस प्रकार, अंतिम वंश वृक्ष के अनुसार जिस व्यक्ति के पास बच्चों को छोड़ा गया था, वह R का पिता है।

अतः, "R के पिता" सही उत्तर है।

तर्क: यहाँ किसी विशिष्ट पैटर्न का अनुसरण नहीं किया जाता है, प्रत्येक अक्षर को यादृच्छिक कूट दिए जाते हैं।

इसलिए,

\n\t
• 'BENT' को '3198' के रूप में कूटबद्ध किया जाता है।
\n\t
• 'DEBT' को '8316' के रूप में कूटबद्ध किया जाता है। 
\n

चूंकि कुछ अक्षर उभयनिष्ठ हैं, इसलिए कूट निम्न होंगे:

​इसलिए,

\n\t
• 'N' को निम्न प्रकार कूटबद्ध किया जाएगा:
\n

'N' को '9' के रूप में कूटबद्ध किया जाता है।

​इसलिए, "9" सही उत्तर है।

निम्नलिखित आकृति शृंखला में प्रश्न चिह्न (?) के स्थान पर आने वाली आकृति का चयन करें।

निम्नलिखित आकृति शृंखला में प्रश्न चिह्न (?) को प्रतिस्थापित करने वाली आकृति को नीचे दिखाया गया है:

1) तत्व '' के लिए → अंग्रेजी वर्णमाला शृंखला के अनुसार अगला एकान्तरिक अक्षर लिखा जाता है और यह दक्षिणावर्त दिशा में स्थानांतरित होता है।

2) तत्व '' के लिए → तदनंदर संख्या में वृद्धि होती है।

3) तत्व '' के लिए → तदनंदर संख्या में कमी होती है।

अंतिम शृंखला है:

अतः, 'विकल्प - (1)' सही उत्तर है।

उस समूह का चयन करें जिसमें संख्याएँ उसी प्रकार संबंधित हैं जिस प्रकार दिए गए समूह की संख्याएँ संबंधित हैं।

(नोट: संख्या को उसके घटक अंकों में तोड़े बिना, पूर्ण संख्याओं पर संक्रियाएँ 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।)

(25, 150, 3)

(18, 180, 5)

तर्क: (पहली संख्या × तीसरी संख्या) = (दूसरी संख्या ÷ 2)

दिया गया है:

\n\t
• (25, 150, 3)
\n

25 × 3 = 150 ÷ 2

75 = 75 (LHS (बायाँ पक्ष) = RHS (दायाँ पक्ष))

\n\t
• (18, 180, 5)
\n

18 × 5 = 180 ÷ 2

90 = 90 (LHS = RHS)

इसलिए,

\n\t
• विकल्प - (1) : (13, 39, 3)
\n

13 × 3 = 39 ÷ 2

39 ≠ 19.5 (LHS ≠ RHS)

\n\t
• विकल्प - (2) : (101, 408, 2)
\n

101 × 2 = 408 ÷ 2

202 ≠ 204 (LHS ≠ RHS)

\n\t
• विकल्प - (3) : (52, 728, 7)
\n

52 × 7 = 728 ÷ 2

364 = 364 (LHS = RHS)

\n\t
• विकल्प - (4) : (61, 601, 5)
\n

61 × 5 = 601 ÷ 2

305 ≠ 300.5 (LHS ≠ RHS)

अतः, "विकल्प - (3)" सही उत्तर है।

1 जनवरी 2009 से 31 जनवरी 2013 तक = 4 वर्ष।

और, 4 वर्षों में 1 लीप और 3 साधारण वर्ष होते हैं

अतः कुल विषम दिन = (1 × 2) + (3 × 1) = 2 + 3 = 5 विषम दिन।

अतः, 31 जनवरी 2013 = शनिवार + 5 = गुरूवार।

लेकिन, हमें 30 जनवरी 2013 का दिन ज्ञात करना है , इसलिए 31 जनवरी 2013 में से 1 दिन घटाना होगा।

अतः 30 जनवरी 2013 गुरूवार होगा - 1 = बुधवार।

एक ही पासे की तीन अलग-अलग स्थितियाँ दर्शायी गई हैं। '1' को दर्शाने वाले फलक के विपरीत फलक पर संख्या ज्ञात कीजिए।

यहाँ अनुसरण किया गया तर्क निम्न है:-

दिए गए तीन अलग-अलग घनों से आकृति 1 और आकृति 2 लेने पर, आसन्न भुजाएँ नीचे दर्शाई गई हैं:

चूँकि आकृति 1 और आकृति 2 दोनों में 1 उभयनिष्ठ है, इसलिए यह स्पष्ट है कि 2, 4, 5 और 6 इसके आसन्न हैं और शेष संख्या, अर्थात 3 इसके विपरीत होगी।

विपरीत युग्म:

4 → 2

5 → 6

1 → 3

इसलिए, "1" का विपरीत भुजा "3" होगी।

अतः, सही उत्तर "3" है।

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

दिया गया है:

\n\t
• आकृति को को घुमाना नहीं चाहिए
\n

अतः, सही उत्तर "विकल्प - (1)" है।

उस विकल्प का चयन करें जो पाँचवीं संख्या से उसी प्रकार संबंधित है जिस प्रकार दूसरी संख्या, पहली संख्या से संबंधित है और चौथी संख्या, तीसरी संख्या से संबंधित है।

7 ∶ 35 ∶∶ 21 ∶ 399 ∶∶ 4 ∶ ?

तर्क: पहली संख्या × (पहली संख्या - 2) = दूसरी संख्या

इसलिए,

\n\t
• 7 ∶ 35
\n

7 × (7 - 2) = 35

7 × 5 = 35

35 = 35 (LHS (बायाँ पक्ष) = RHS (दायाँ पक्ष))

और,

\n\t
• 21 ∶ 399
\n

21 × (21 - 2) = 399

21 × 19 = 399

399 = 399 (LHS = RHS)

इसी प्रकार,

\n\t
• 4 ∶ ?
\n

4 × (4 - 2) = ?

4 × 2 = ?

8 = ?

अतः, "विकल्प - (3)" सही उत्तर है।

जब दर्पण को MN पर रखा जाता है, तो दी गई आकृति के सही दर्पण प्रतिबिम्ब का चयन करें।

जब दर्पण को AB पर रखा जाता है, तो दी गई आकृति का सही दर्पण प्रतिबिम्ब नीचे दर्शाया गया है:

अतः, सही उत्तर "विकल्प - (2)" है।

उस विकल्प का चयन करें जो पाँचवीं संख्या से उसी प्रकार संबंधित है जैसे दूसरी संख्या, पहली संख्या से संबंधित है और चौथी संख्या, तीसरी संख्या से संबंधित है।

7 ∶ 47 ∶∶ 11 ∶ 119 ∶∶ 3 ∶ ?

तर्क: (पहली संख्या का वर्ग) = (दूसरी संख्या + 2)

इसलिए,

\n\t
• 7 ∶ 47
\n

\\((7)^2\\) = 47 + 2

49 = 49 (LHS (बायाँ पक्ष) = RHS (दायाँ पक्ष))

और,

\n\t
• 11 ∶ 119
\n

\\((11)^2\\) = 119 + 2

121 = 121 (LHS = RHS)

इसी प्रकार,

\n\t
• 3 ∶ ?
\n

\\((3)^2\\) = ? + 2

9 - 2 = ?

7 = ?

अतः, "7" सही उत्तर है।

उस विकल्प का चयन करें जो तीसरे शब्द से उसी प्रकार संबंधित है जिस जिस प्रकार दूसरा शब्द, पहले शब्द से संबंधित है। (शब्दों को सार्थक अंग्रेजी शब्दों के रूप में माना जाना चाहिए और वे शब्द में अक्षरों की संख्या/व्यंजनों/स्वरों की संख्या के आधार पर एक-दूसरे से संबंधित नहीं होने चाहिए।)

पौधा ∶ गमला ∶∶ मछली ∶ ?

तर्क : जीवित प्राणी : जहाँ रखा जाता है

इसलिए,

\n\t
• पौधे को गमले में रखा जाता है।
\n

इसी प्रकार,

\n\t
• मछली को मछलीघर में रखा जाता है।
\n

अतः, "मछलीघर" सही उत्तर है।

Additional Information

\n\t
1. कीचड़ → कीचड़ में विभिन्न कीड़े, मिट्टी के केकड़े आदि रखे जाते हैं।
\n\t
2. रेत → रेत के बिच्छू, रेत के पिस्सू आदि रेत में रहते हैं।
\n\t
3. पत्थर → यह एक कठोर पदार्थ है जिसमें कोई भी जीवित प्राणी नहीं रखा जा सकता है।
\n\t
4. मछलीघर → मछलीघर में मछलियाँ, सरीसृप आदि रखे जाते हैं।​
\n

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

निम्नलिखित आकृति शृंखला में प्रश्न चिह्न (?) को प्रतिस्थापित करने वाली आकृति को नीचे दिखाया गया है:

1) तत्व '' के लिए ⇒ पैटर्न में बदलाव: बायाँ ऊपरी कोना → दायाँ निचला कोना → केंद्र → दायाँ ऊपरी कोना → बायाँ ऊपरी कोना

2) तत्व '' के लिए ⇒ पैटर्न में बदलाव: केंद्र → दायाँ ऊपरी कोना → बायाँ ऊपरी कोना → दायाँ निचला कोना → केंद्र

3) तत्व '' के लिए ⇒ पैटर्न में बदलाव: दायाँ निचला कोना → केंद्र → दायाँ ऊपरी कोना → बायाँ ऊपरी कोना → दायाँ निचला कोना

4) तत्व '' के लिए ⇒ पैटर्न में बदलाव: दायाँ ऊपरी कोना → बायाँ ऊपरी कोना → दायाँ निचला कोना → केंद्र → दायाँ ऊपरी कोना

अंतिम शृंखला है:

अतः, 'विकल्प - (4)' सही उत्तर है।

दी गई आकृति के सही दर्पण प्रतिबिम्ब का चयन करें, जब दर्पण को आकृति के दाईं ओर रखा जाए।

जब दर्पण को MN पर रखा जाता है, तो दी गई आकृति के सही दर्पण प्रतिबिम्ब को नीचे दर्शाया गया है:

अतः, सही उत्तर "विकल्प - (3)" है।

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

57, 69, 88, 112, 150, 186, 243, ?

तर्क: तदनंदर (12) और (19) के क्रमिक गुणज एकांतरिक रूप से जोड़े जाते हैं।

इसलिए, शृंखला निम्न है:

अतः, "291" सही उत्तर है।

तर्क :

\n\t
• पहले दो अक्षर → अंग्रेजी वर्णमाला शृंखला के अनुसार विकर्ण रूप से स्थितीय मान से (2) को घटाया जाता है।
\n\t
• तीसरा अक्षर → अंग्रेजी वर्णमाला शृंखला के अनुसार स्थितीय मान में (4) को जोड़ा जाता है।
\n\t
• अंतिम दो अक्षर → अंग्रेजी वर्णमाला शृंखला के अनुसार विकर्ण रूप से स्थितीय मान में (2) को जोड़ा जाता है।
\n

इसलिए,

'RELAX' को 'CPPZC' के रूप में लिखा जाता है।

और,

\n\t
• 'STAKE' को 'RQEGM' के रूप में लिखा जाता है।
\n

​इसी प्रकार,

\n\t
• 'WINDS' को निम्न के रूप में लिखा जायेगा:
\n

​इसलिए, "GURUF" सही उत्तर है।

उस विकल्प का चयन करें जो पाँचवीं संख्या से उसी प्रकार संबंधित है जिस प्रकार दूसरी संख्या, पहली संख्या से संबंधित है और चौथी संख्या, तीसरी संख्या से संबंधित है।

750 ∶ 5 ∶∶ 384 ∶ 4 ∶∶ 3072 ∶ ?

तर्क: (पहली संख्या ÷ 6) = (दूसरी संख्या का घन)

इसलिए,

\n\t
• 750 ∶ 5
\n

750 ÷ 6 = 

125 = 125 (LHS (बायाँ पक्ष) = RHS (दायाँ पक्ष))

और,

\n\t
• 384 ∶ 4
\n

384 ÷ 6 = 

64 = 64 (LHS = RHS)

इसी प्रकार,

\n\t
• 3072 ∶ ?
\n

3072 ÷ 6 = 

512 = 

8 = ?

अतः, "8" सही उत्तर है।

तर्क: (पहली संख्या × 11) = (दूसरी संख्या - 7)

इसलिए,

\n\t
• विकल्प - (1) : (21, 238) 
\n

21 × 11 = 238 - 7

231 = 231 (LHS (बायाँ पक्ष) = RHS (दायाँ पक्ष))

\n\t
• विकल्प - (2) : (17, 194) 
\n

17 × 11 = 194 - 7

187 = 187 (LHS = RHS)

\n\t
• विकल्प - (3) : (13, 150) 
\n

13 × 11 = 150 - 7

143 = 143 (LHS = RHS)

\n\t
• विकल्प - (4) : (23, 270)
\n

23 × 11 = 270 - 7

253 ≠ (LHS ≠ RHS)

उस विकल्प का चयन करें जो तीसरे शब्द से उसी प्रकार संबंधित है जिस प्रकार दूसरा शब्द, पहले शब्द से संबंधित है।
\n(शब्दों को सार्थक अंग्रेजी शब्दों के रूप में माना जाना चाहिए और वे शब्द में अक्षरों की संख्या/व्यंजनों की संख्या/स्वरों की संख्या के आधार पर एक-दूसरे से संबंधित नहीं होने चाहिए।)

गाय ∶ दूध ∶∶ भेड़ ∶ ?

तर्क : पशु : जिसका यह उत्पादन करता है

\n\t
• गाय, दूध का उत्पादन कर​ती है।
\n

इसी प्रकार,

\n\t
• भेड़, ऊन का उत्पादन कर​ती है।
\n

अतः, "ऊन" सही उत्तर है।

Additional Information

\n\t
1. ऊन → भेड़ द्वारा उत्पादित
\n\t
2. शिशु → मानव प्रजनन द्वारा निर्मित
\n\t
3. रेशम → रेशम के कीड़ों द्वारा उत्पादित
\n\t
4. कपड़े → कपड़ा और फैशन उद्योग में विभिन्न तरीकों से उत्पादित।​
\n

दी गई शर्तों के अनुसार,

1) B, A की पत्नी और D की पुत्री है। 

d

2) C, A की पुत्री है।

3) चार व्यक्तियों के परिवार में केवल एक बच्चा है।

इस प्रकार, अंतिम वंश वृक्ष के अनुसार C, D की नातिन अर्थात पुत्री की पुत्री है।

अतः, "पुत्री की पुत्री" सही उत्तर है।

जनवरी 2022 में मस्कट में आयोजित एशिया कप में सविता पुनिया ने भारतीय महिला हॉकी टीम का नेतृत्व किया। सविता पुनिया एक गोलकीपर हैं और कई वर्षों से भारतीय महिला हॉकी टीम की एक महत्वपूर्ण सदस्य रही हैं।

एशियाई खेल 2018 के उद्घाटन समारोह में नीरज चोपड़ा भारतीय दल के ध्वजवाहक थे। एशियाई खेल हर चार साल में आयोजित होने वाला एक बहु-खेल आयोजन है, जिसमें पूरे एशिया के एथलीट शामिल होते हैं।

पीटी उषा को दिसंबर 2022 में भारतीय ओलंपिक संघ की पहली महिला अध्यक्ष के रूप में चुना गया था। वह एक पूर्व भारतीय ट्रैक और फील्ड एथलीट हैं, जिन्होंने ओलंपिक सहित कई अंतरराष्ट्रीय आयोजनों में भारत का प्रतिनिधित्व किया।

भारत में मुस्लिम कट्टरवाद के बढ़ते प्रभाव की प्रतिक्रिया के रूप में 1915 में हिंदू महासभा की स्थापना की गई थी। संगठन का उद्देश्य हिंदू राष्ट्रवाद को बढ़ावा देना और हिंदू समुदाय के हितों की रक्षा करना था।

दिया गया है:

(A + B)³ = 1728

AB = 32

प्रयुक्त सूत्र:

(A + B)2 = A2 + B2 + 2AB

(A - B)2 = A2 + B2 - 2AB

A3 - B3 = (A - B)3 + 3AB × (A - B)

गणना:

(A + B)3 = 1728

⇒ (A + B)3 = (12)3

⇒ (A + B) = 12

दोनों पक्षों का वर्ग करने पर, 

⇒ (A + B)2 = (12)2

⇒ A2 + B2 + 2AB = 144

⇒ A2 + B2 + 2 × 32 = 144

⇒ A2 + B2 = 144 - 64 = 80

अब,

(A - B)2 = A2 + B2 - 2AB

⇒ (A - B)2 = 80 - 64 = 16

⇒ (A - B) = √16 = 4

A3 - B3 = (A - B)3 + 3AB × (A - B)

⇒ (4)3 + (3 × 32 × 4)

⇒ 64 + 384 = 448

∴ सही उत्तर 448 है।

Alternate Method

गणना:

(A + B)3 = 1728

⇒ (A + B)3 = (12)3

⇒ (A + B) = 12

और AB = 32

हिट और ट्रायल से, हमें प्राप्त होता है  

A = 8; B = 4

इसलिए, A3 - B3 = (8)3 - (4)3

⇒ 512 - 64 = 448

∴ सही उत्तर 448 है।

निम्नलिखित व्यंजक को सरल कीजिए।

\\(\\frac{x^2-2 x-63}{x^2+14 x+49}\\)

गणना:

\\(\\frac{x^2-2 x-63}{x^2+14 x+49}\\)

⇒ {x² - 9x + 7x - 63}/{x2 + 7x + 7x + 49}

⇒ {x(x - 9) + 7 (x - 9)}/{x(x + 7) + 7(x + 7)}

⇒ {(x -9) × (x + 7)}/{(x + 7) × (x + 7)} 

⇒ \\(\\frac{x-9}{x+7}\\)

∴ सही विकल्प 4 है।

प्रयुक्त सूत्र:

1 - sin2 θ = cos2 θ  

1/sin θ = cosec θ 

cos θ/sin θ = cot θ  

गणना:

\\(\\sqrt{\\frac{1+\\cos θ}{1-\\cos θ}}\\)

⇒ \\(\\sqrt{\\frac{1+\\cos θ}{1-\\cos θ}\\times\\frac{1+\\cos θ}{1+\\cos θ}} \\)

⇒ \\(\\sqrt{\\frac{(1+\\cos θ)^2}{1^2-\\cos^2 θ}} \\)

⇒ (1 + cosθ)/sinθ 

⇒ (1/sin θ) + (cos θ/sin θ)

⇒ cosec θ + cot θ

∴ सही विकल्प 3 है।

नीचे दिया गया वृत्त आरेख पाँच अलग-अलग जिलों (A, B, C, D और E) में एक कंपनी में काम करने वाली महिला कर्मचारियों का वितरण दर्शाता है।

पाँच जिलों में महिला कर्मचारियों की कुल संख्या = 136000

जिला C और जिला D में कंपनी में काम करने वाली महिला कर्मचारियों की कुल संख्या कितनी है?

गणना:

महिला कर्मचारियों की कुल संख्या = 136000

⇒ 100% = 136000

⇒ 1% = 1360

जिला C में कंपनी में काम करने वाली महिला कर्मचारियों की संख्या = 30% = 1360 × 30 = 40800

जिले D में कंपनी में काम करने वाली महिला कर्मचारियों की संख्या = 15% = 1360 × 15 = 20400

जिला C और D में महिला कर्मचारियों की कुल संख्या = 40800 + 20400 = 61200

∴ सही उत्तर 61200 है।

दिया गया है:

दो छूट के बीच का अंतर = 220 रुपये

छूट (D) = 40%

क्रमिक दो छूट,

छूट (D₁) = 30%; छूट (D₂) = 30%

प्रयुक्त सूत्र:

समतुल्य छूट (D) = D1 + D2 -  (D1 × D2)/100

गणना:

समतुल्य छूट (D) = 30 + 30 -  (30 × 30)/100

⇒ 60 - 9 = 51%

छूट में अंतर = (51 - 40)% = 220

⇒ 11% = 220

⇒ 1% = 20 रुपये

अंकित मूल्य (M.P) = 100% = 20 × 100 = 2000 रुपये

∴ सही उत्तर 2000 रुपये है।

दिया गया है:

y + (1/y) = 4

प्रयुक्त सूत्र:

यदि y + (1/y) = P है, तो

y3 + (1/y3) = P3 - 3P

गणना:

y + (1/y) = 4

⇒ y3 + (1/y3 ) = (4)3 - 3 × 4

⇒ y3 + (1/y3 ) = 64 - 12 = 52

दोनों पक्षों का वर्ग करने पर, 

⇒ {y3 + (1/y3)}2 = (52)2

⇒ y6 + (1/y6 ) + 2 = 2704

⇒ y6 + (1/y6 ) = (2704-2) = 2702

∴ सही उत्तर 2702 है। 

A, B की तुलना में 50% अधिक दक्ष है। B उसी कार्य को 20 दिनों में पूरा करता है। यदि A और B एक साथ कार्य करते हैं, तो उसी कार्य को पूरा करने में उन्हें कितना समय लगेगा?​

दिया गया है:

A की दक्षता : B की दक्षता = 150 : 100 = 3 : 2

B को कार्य पूरा करने में लगा समय = 20 दिन

प्रयुक्त सूत्र:

कुल कार्य = दक्षता × समय

गणना:

A की दक्षता : B की दक्षता = 150 : 100 = 3 : 2

कुल कार्य = 20 × 2 = 40 इकाइयाँ

कार्य पूरा करने में लगा समय = 40/5 = 8 दिन

∴ सही उत्तर 8 दिन है।

दिया गया है:

चाप की लम्बाई = 12 सेमी

वृत्त की त्रिज्या = 8 सेमी

प्रयुक्त सूत्र:

चाप की लम्बाई = (2 × π × R × θ)/360

त्रिज्यखंड का क्षेत्रफल = (π× R2 × θ)/360

गणना:

चाप की लम्बाई = (2 × π × R × θ)/360

⇒ 12 × 360 = 2 × (22/7) × 8 × θ

⇒ θ = (12 × 360 × 7)/(22 × 16)

⇒ θ = (3 × 45 × 7)/11

⇒ θ = (945/11)° 

त्रिज्यखंड का क्षेत्रफल = (π× R² × θ)/360

⇒ (22/7) × (8)2 × (945/11) × (1/360)

⇒ 2 × 16 × 3 × (1/2) = 16 × 3

⇒ 48 सेमी²

∴ सही उत्तर 48 सेमी² है।

Shortcut Trick

त्रिज्यखंड का क्षेत्रफल = l × r/2

⇒ 12 × 8/2

⇒ 12 × 4

⇒ 48 cm2

दिया गया है:

क्रय मूल्य (C.P) में पहले 10% की कमी की जाती है।

क्रय मूल्य (C.P) में फिर से 20% की वृद्धि की जाती है।

अंतिम मूल्य = 540 रुपये

गणना:

मान लीजिए C.P = 100x 

कमी के बाद क्रय मूल्य = 100x × (100 -10)% = 90x

वृद्धि के बाद क्रय मूल्य = 90x × (100 + 20)% = 108x

प्रश्नानुसार:

⇒ 108x = 540

⇒ x = 540/108 = 5

⇒ 100x = 5 × 100 = 500 रुपये

∴ सही उत्तर 500 है।

Alternate Methodगणना:

अब, 

⇒ 54 इकाई = 540 रुपये

⇒ 1 इकाई = 540/54 = 10 रुपये

⇒ मूल क्रय मूल्य = 50 इकाई = 50 × 10 = 500 रुपये

∴ सही उत्तर 500 रुपये है।

दिया गया है:

बेलन की ऊँचाई (H) = 12 सेमी

बेलन का वक्र पृष्ठीय क्षेत्रफल = 2640 सेमी²

प्रयुक्त सूत्र:

वक्र पृष्ठ क्षेत्रफल = 2 × π × R × H

बेलन का आयतन = π × R2 × H

जहाँ, R = त्रिज्या; H = ऊँचाई 

गणना:

बेलन का वक्र पृष्ठीय क्षेत्रफल = 2640 सेमी2

⇒ 2 × π × R × H = 2640

⇒ (22/7) × R × 12 = 1320

⇒ 12 × R = 60 × 7

⇒ R = 35 सेमी

बेलन का आयतन = π × R2 × H

⇒ (22/7) × (35)2 × 12

⇒ 22 × 5 × 35 × 12 = 46200 सेमी³

∴ सही उत्तर 46200 सेमी³ है।

100 ÷ 10 - [- 2 + {-9 + (3 - 6 of 2)}] ⇒ 10 - [- 2 + {- 9 + (3 - 12)}] ⇒ 10 - [- 2 + {- 9 - 9}] ⇒ 10 - [- 2 - 18] ⇒ 10 + 20 = 30

दिया गया है:

पहली संख्या = 8

दूसरी संख्या = 32

तीसरी संख्या = 13

प्रयुक्त सूत्र:

चतुर्थानुपाती = (दूसरी संख्या × तीसरी संख्या)/पहली संख्या

गणना:

चतुर्थानुपाती = (दूसरी संख्या × तीसरी संख्या)/पहली संख्या

⇒ (32×13)/8 = 52

∴ सही उत्तर 52 है।

दिया गया है:

मूलधन = 9000 रुपये

मिश्रधन = 10200 रुपये

समय = 4 वर्ष

प्रयुक्त सूत्र:

साधारण ब्याज (S.I) = (P × R × T)/100

मिश्रधन (A) = (S.I + P)

जहाँ, P = मूलधन; R = दर; T = समय

गणना:

साधारण ब्याज (S.I) = (A - P)

⇒ (10200 - 9000) = 1200 रुपये

दर = (1200 × 100)/(9000 × 4)

⇒ (10/3) = 3\\(1\\over3\\) %

∴ सही उत्तर 3\\(1\\over3\\) है।

दिया गया है:

भाज्य = (x17 + 1)

भाजक = (x + 1)

प्रयुक्त अवधारणा:

(aⁿ + bⁿ), (a + b) से विभाज्य है, जहाँ n विषम है।

गणना:

(x17 + 1¹⁷), (x + 1) से विभाज्य है।

इसलिए, शेषफल = 0

∴ सही उत्तर 0 है।

दिया गया है:

धारा के प्रतिकूल दूरी तय करने में लगा समय = 10 घंटे

धारा के अनुकूल दूरी तय करने में लगा समय = 7 घंटे

प्रयुक्त अवधारणा:

यदि दूरी स्थिर है तो,

गति ∝ (1/समय)

गणना:

दूरी स्थिर है, इसलिए

धारा के प्रतिकूल लगने वाला समय : धारा के अनुकूल लगने वाला समय = 10 : 7

धारा के प्रतिकूल गति : धारा के अनुकूल गति = 7 :10

अब,

नाव की गति : धारा की गति = (10 + 7)/2 : (10 - 7)/2

⇒ 17 : 3

∴ सही विकल्प 4 है।

₹35 प्रति किलोग्राम और ₹38 प्रति किलोग्राम मूल्य के चावल को तीसरी किस्म के चावल ​के साथ 2 ∶ 1 ∶ 2 के अनुपात में मिलाया जाता है। यदि मिश्रण का मूल्य ₹42 प्रति किलोग्राम है, तो तीसरी किस्म के चावल का प्रति किलोग्राम मूल्य होगा:

दिया गया है:

पहली गुणवत्ता वाले चावल का मूल्य = 35 रुपये/किलोग्राम 

दूसरी गुणवत्ता वाले चावल का मूल्य = 38 रुपये/किलोग्राम 

मिश्रण का मूल्य= 42 रुपये/किलोग्राम 

प्रयुक्त सूत्र:

चावल का औसत मूल्य = चावल के सभी मूल्यों का योग/चावल की मात्रा

गणना:

माना तीसरे प्रकार के चावल का मूल्य = A

पहले प्रकार के चावल की मात्रा = 2x

दूसरे प्रकार के चावल की मात्रा = x

तीसरे प्रकार के चावल की मात्रा = 2x

प्रश्नानुसार:

⇒ (35 × 2x) + (38 × x) + (A × 2x) = 42 × 5x

⇒ 70x + 38x + 2Ax = 210x

⇒ 2Ax = (210x - 108x)

⇒ 2A=102

⇒ A = 102/2 = 51 रुपये/किलोग्राम 

∴ सही उत्तर 51 रुपये/किलोग्राम है।

दो वृत्त एक दूसरे को बाह्य रूप से स्पर्श करते हैं। O केन्द्र वाले पहले वृत्त की त्रिज्या 6 सेमी है। P केन्द्र वाले दूसरे वृत्त की त्रिज्या 3 सेमी है। उनकी उभयनिष्ठ स्पर्शरेखा AB की लम्बाई ज्ञात कीजिए।

दिया गया है:

छोटे वृत्त की त्रिज्या = 3 सेमी

बड़े वृत्त की त्रिज्या = 6 सेमी

प्रयुक्त सूत्र:

प्रत्यक्ष उभयनिष्ठ स्पर्शरेखा = 2×√(R×r)

जहाँ, R = बड़े वृत्त की त्रिज्या;

और r = छोटे वृत्त की त्रिज्या

गणना:

प्रत्यक्ष उभयनिष्ठ स्पर्शरेखा = 2×√(R×r)

⇒ 2 × √(3 × 6)

⇒ 2 × 3 × √2 = 6√2 सेमी

∴ सही उत्तर 6√2 सेमी है।

प्रयुक्त सूत्र:

Cos 60° = 1/2; tan 30° = 1/√3;

cos 45° = 1/√2; sin 60° = √3/2

गणना:

5√3 cos 60° tan 30° - 3 cos 0° + 3 cos2 45° + 2 sin2 60°

⇒ 5√3 × (1/2) × (1/√3)  - 3 × 1 + 3 × (1/√2)²  + 2 × (√3/2)²

⇒ 5√3 × (1/2) × (1/√3)  - 3 + 3/2 + 3/2

⇒ 5/2 - 3 + 3/2 + 3/2

⇒ 2.5 - 3 + 3

⇒ 2.5

∴ सही उत्तर 2.5 है।

दिया गया है:

धारा के प्रतिकूल गति = 15.2 किमी/घंटा

धारा के अनुकूल गति = 20.8 किमी/घंटा

प्रयुक्त सूत्र:

धारा के प्रतिकूल गति = U - V

धारा के अनुकूल गति = U + V

गणना:

धारा के प्रतिकूल गति = (U - V) = 15.2 किमी/घंटा

धारा के अनुकूल गति = (U + V) = 20.8 किमी/घंटा

धारा की गति (V) = (20.8 - 15.2)/2 = 5.6/2 = 2.8 किमी/घंटा

∴ सही उत्तर 2.8 किमी/घंटा है।

2M × 6 = 3W × 4 ⇒ M/W = 1/1

कुल कार्य = 3W × 4 = 3 × 1 × 4 = 12 इकाइयाँ

1 पुरुष और 2 महिलाओं द्वारा कार्य पूरा करने में लगा समय = 12/(1 + 2) = 12/3 = 4 दिन

पहले महीने में मोहन की आय में 30% की वृद्धि होती है। दूसरे महीने में उसकी आय में 30% की कमी होती है। दो महीने बाद आय में कितने प्रतिशत की वृद्धि या कमी होगी?

दिया गया है:

पहले महीने में आय में वृद्धि = 30%

दूसरे महीने आय में कमी = 30%

प्रयुक्त सूत्र:

वेतन में प्रभावी प्रतिशत परिवर्तन = वृद्धि - कमी - (वृद्धि × कमी)/100

गणना:

वेतन में प्रभावी प्रतिशत परिवर्तन = वृद्धि - कमी - (वृद्धि × कमी)/100

⇒ 30 - 30 - (30 × 30)/100

⇒ 0 - 9 = - 9%

नोट: (- Ve) चिन्ह वेतन में कमी को दर्शाता है। 

∴ सही विकल्प 4 है।

Cos2 θ = 3/4 ⇒ cos θ = √(3/4) = √3/2 ⇒ cos θ  = cos 30° ⇒ θ = 30° 

sin (θ + 30°) =  sin (30° + 30°) ⇒ sin 60° = √3/2

दिया गया है:

A कार्य पूरा कर सकता है = 14 दिन

(A + B) कार्य पूरा कर सकता है = 7/2 दिन

प्रयुक्त सूत्र:

कुल कार्य = दक्षता × समय

गणना:

अब,

B की दक्षता = (4 - 1) = 3 इकाई/दिन

कार्य को अकेले पूरा करने में लगा समय = 14/3 दिन

∴ सही उत्तर 14/3 दिन है।

\\(\\frac{r^2}{15^2}+\\frac{s^2}{16^2}\\) ⇒ {15 (sin θ + cos θ)}2/15² +  {16 (sin θ - cos θ)}2/16² ⇒ {225 × (1 + 2sin θ cos θ)}/225 + {256 × (1 - 2sin θ cos θ)/256} ⇒ 1 + 1 = 2

निम्नलिखित तालिका चार राज्यों की गरीबी रेखा से नीचे की जनसंख्या का प्रतिशत और गरीबी रेखा से नीचे और ऊपर पुरुषों और महिलाओं का अनुपात दर्शाती है।

यदि राज्य B की कुल जनसंख्या 7,200 है, तो उस राज्य में गरीबी रेखा से नीचे महिलाओं की संख्या कितनी है?

दिया गया है:

राज्य B की कुल जनसंख्या = 7200

गणना:

राज्य B की गरीबी रेखा के नीचे की कुल जनसंख्या = 7200 × 25% = 1800

राज्य B की गरीबी रेखा के नीचे महिलाओं की संख्या = (1800 × 5)/8

⇒ 9000/8 = 1125

∴ सही उत्तर 1125 है।

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

Does she prepare the lesson?

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. And also, they contribute to the development of social and environmental solutions for the planet's future.

B. Companies do play an important role in modern society.

C. Because of their systematic relevance and their impact on policy-making, companies must use their influence in ways that benefit the public good.

D. Some corporations have become so large that their activities and strategic decisions have a direct impact on government policy and citizens' lives.

Select the most appropriate meaning of the underlined idiom in the following sentence.

I just went to Bali on a backpacking trip and did everything by the ear without any itinerary.

Select the option that is OPPOSITE in meaning to the given word.

Jubilant

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

Changing secret and coded messages in a readable form

Identify the INCORRECTLY spelt word in the given sentence.

Successful people often have a role modal who inspired them to greatness.

Choose the option that rectifies the incorrectly spelt underlined word.

Mr. Singh is a phenomenally sucsesful salesperson.

Select the most appropriate ANTONYM of the given word.

Grow

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

Enjoying or affording warm secure shelter or cover and opportunity for ease and contentment

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

Kind, generous, and forgiving.

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

You wash / the dishes / and / I dry the same.

Select the grammatically correct sentence.

A. As a nation, India is a united country and shall always remain so.

B. As nation, India is a united country and shall always remain so.

C. As the nation, India is a united country and shall always remain so.

D. As a nation, India is an united country and shall always remain so.

Select the most appropriate option to fill in the blank.

I take my _____ off to our freedom fighters for their service to our country.

Select the most appropriate option to fill in the blank.

_____ droplets settled on top of leaves.

Select the most appropriate ANTONYM of the underlined word to fill in the blank.

Instead of becoming joyous to hear the breaking news, she became _________.

Select the most appropriate option that can substitute the underlined segment in the given sentence.

The young boy displayed an aptitude on scientific research.

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

The magazine house was expecting unpublished authors for their forthcoming exclusive issue on new trends.

Select the correct option to substitute the underlined segment in the given sentence.

He had given me that book in 1999.

Select the most appropriate synonym of the given word.

Predicament

Select the most appropriate ANTONYM of the underlined word.

His knowledge is superficial in nature.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

તર્ક : અંગ્રેજી મૂળાક્ષરોની શ્રેણી અનુસાર સ્થાન કિંમતમાંથી (3) અને (2) નો એકાંતરે ઘટાડો કરવો.

તેથી,

\n\t
• 'KINDLE' ને આ રીતે કોડ કરવામાં આવશે:
\n

Which letter-cluster will replace the question mark (?) to complete the given series?

BAWP, ?, DWCH, EUFD, FSIZ

Logic : 

\n\t
• First and third letters → (1) and (3) are added to the position value according to English alphabetic series respectively.
\n\t
• Second and fourth letters → (2) and (4) are subtracted from the position value according to English alphabetic series respectively.
\n

So,

Which two signs and two numbers should be interchanged to make the following equation correct?

840 ÷ 38 - 7 + 10 × 12 = 462

After interchanging the signs and numbers:

So,

\n\t
• Option - (2) : 12 and 38, × and -
\n

840 ÷ 38 - 7 + 10 × 12 = 462 ⇒ 840 ÷ 12 × 7 + 10 - 38 = 462

70 × 7 + 10 - 38 = 462

490 + 10 - 38 = 462

500 - 38 = 462

462 = 462 (LHS = RHS)

આપેલા શબ્દોનો અંગ્રેજી શબ્દકોષમાં દેખાડ્યા મુજબનો સાચો ક્રમ કયો વિકલ્પ રજૂ કરે છે?

1. Typographical

2. Typologically

3. Typifications

4. Typicalness

5. Tyrannosaurus

શબ્દકોશમાં ક્રમ અનુસાર:

4. Typicalness

3. Typifications

1. Typographical

2. Typologically

5. Tyrannosaurus

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

N M L _ J N _ L J J _ M L J _ N M _ J J

By checking options :

\n\t
• J M N J L → N M L J J N M L J J N M L J J N M L J J → (It follows the pattern of : NMLJJ - NMLJJ - NMLJJ - NMLJJ)
\n

​Here, option - (1) gives the pattern of \"N M L J J - N M L J J - N M L J J - N M L J J\"

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

9 *  16 * 64 * 8 *  2 * 9

After replacing the * signs :

So,

\n\t
• Option - (3) : +, ÷, ×, -, =
\n

9 *  16 * 64 * 8 *  2 * 9 ⇒ 9 + 16 ÷ 64 × 8 - 2 = 9

9 + 0.25 × 8 - 2 = 9

9 + 2 - 2 = 9

11 - 2 = 9

9 = 9 (LHS = RHS)

Here, the person with whom the children are left with is R's father.

Logic : No specific pattern is followed here, random codes are assigned to each letter.

So,

\n\t
• 'BENT' is coded as '3198'
\n\t
• 'DEBT' is coded as '8316'
\n

As some letters are common, so the codes will be :

​Therefore,

\n\t
• 'N' will be coded as:
\n

'N' is coded as '9'.

Select the figure that will come in place of the question mark (?) in the following figure series.

Here, figure option - (1) completes the given pattern.

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

(NOTE: Operations should be performed on the whole numbers, without breaking down the number 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.)

(25, 150, 3)

(18, 180, 5)

Logic : (1st number × 3rd number) = (2nd number ÷ 2)

\n\t
• Option - (3) : (52, 728, 7)
\n

52 × 7 = 728 ÷ 2

364 = 364 (LHS = RHS)

આપેલ: 31 જાન્યુઆરી 2009 એ શનિવાર હતો

સમજૂતી:

1 જાન્યુઆરી 2010 થી 1 જાન્યુઆરી 2013 સુધીના વિષમ દિવસોની સંખ્યા :

1 જાન્યુઆરી 2009 થી 30 સુધીના વિષમ દિવસોની સંખ્યા જાન્યુઆરી 2009 = 30 ÷ 7 = 2

∴ બેકી દિવસોની સંખ્યા = 0 + 2 + 2 ⇒ 4

લીપ વર્ષ 2012 અને 2016 માં બેકી દિવસોની સંખ્યા = 2 + 2 = 4

⇒ તેથી, ચાર વિષમ દિવસ શનિવારમાં ઉમેરવામાં આવે છે કારણ કે ભવિષ્યમાં પૂછવામાં આવેલ દિવસ.

∴ 30 જાન્યુઆરી 2013 ના રોજ બુધવાર અઠવાડિયાનો દિવસ હતો.

તેથી, \"બુધવાર\" સાચો જવાબ છે.

Additional Information

\n\t
• અઠવાડિયાના દિવસો માટે વિષમ દિવસોની સંખ્યા.
\n

\n\t
• મહિનાના દિવસો માટે વિષમ દિવસોની સંખ્યા.
\n

\n\t
• વર્ષો માટે વિષમ દિવસોની સંખ્યા.
\n

નોંધ - 800, 1200,1600, 2000 વગેરે જેવા 400 ના કોઈપણ બહુવિધ વર્ષ માટે '0' વિષમ દિવસો હશે.

Three different positions of the same dice are shown. Find the number on the face opposite the face showing '1'.

As 1 is common on both figure 1 and figure 2, it is clear that 2, 4, 5 and 6 are adjacent to it and remaining number i.e., 3 will be opposite to it.

Opposite pairs:

4 → 2

5 → 6

1 → 3

So, the opposite side of \"1\" will be side \"3\".

Select the option figure which is embedded in the given figure (rotation is NOT allowed).

 is embedded in the given figure 

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.

7 ∶ 35 ∶∶ 21 ∶ 399 ∶∶ 4 ∶ ?

Logic : 1st number × (1st number - 2) = 2nd number

So,

\n\t
• 4 ∶ ?
\n

4 × (4 - 2) = ?

4 × 2 = ?

8 = ?

જ્યારે અરીસો AB પર મૂકવામાં આવે ત્યારે આપેલ આકૃતિનું યોગ્ય અરીસાનું પ્રતિબિંબ પસંદ કરો. 

અહીં, આકૃતિ વિકલ્પ - (2) એ આપેલ આકૃતિની સાચી અરીસાની છબી છે.

જે રીતે બીજી સંખ્યા પ્રથમ સંખ્યા સાથે સંબંધિત છે અને ચોથી સંખ્યા ત્રીજી સંખ્યા સાથે સંબંધિત છે તે જ રીતે પાંચમી સંખ્યા સાથે સંબંધિત વિકલ્પ પસંદ કરો.

7 ∶ 47 ∶∶ 11 ∶ 119 ∶∶ 3 ∶ ?

તર્ક : (1લી સંખ્યાનો વર્ગ) = (2જી સંખ્યા + 2)

તેથી,

\n\t
• 3 ∶ ?
\n

\\(3)^2\\) = ? + 2

9 - 2 = ?

7 = ?

Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered as meaningful English words and must NOT be related to each other based on the number of letters/number of consonants/vowels in the word.)

Plant ∶ Pot ∶∶ Fish ∶ ?

Logic : Living being : Placed or kept in

So,

\n

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

Here, figure option - (4) completes the given pattern.

Select the correct mirror image of the given figure when the mirror is placed at the right side of the figure. 

Here, figure option - (3) is the correct mirror image of the given figure.

આપેલ શ્રેણીમાં નીચેનામાંથી કઈ સંખ્યા પ્રશ્નાર્થ ચિહ્ન (?) નું સ્થાન લેશે?

57, 69, 88, 112, 150, 186, 243, ?

Logic : એકાંતરે (12) અને (19) ના અનુક્રમિક ગુણાકારને અનુગામી રીતે ઉમેરવામાં આવે છે.

તેથી,

Logic :

\n\t
• First two letters → (2) is subtracted from the position value according to English alphabetic series diagonally.
\n\t
• third letter → (4) is added to the position value according to English alphabetic series.
\n\t
• Last two letters → (2) is added to the position value according to English alphabetic series diagonally.
\n

So,

\n\t
• 'WINDS' will be written as :
\n

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.

750 ∶ 5 ∶∶ 384 ∶ 4 ∶∶ 3072 ∶ ?

Logic : (1st number ÷ 6) = (Cube of 2nd number)

So, 

\n\t
• 3072 ∶ ?
\n

3072 ÷ 6 = \\((?)^3\\)

512 = \\((?)^3\\)

8 = ?

તર્ક : (1લી સંખ્યા x 11) = (2જી સંખ્યા - 7)

તો,

\n\t
• વિકલ્પ - (1) : (21, 238)
\n

21 x 11 = 238 - 7

231 = 231 (ડાબા = જબા)

\n\t
• વિકલ્પ - (2) : (17, 194)
\n

17 x 11 = 194 - 7

187 = 187 (ડાબા = જબા)

\n\t
• વિકલ્પ - (3) : (13, 150)
\n

13 x 11 = 150 - 7

143 = 143 (ડાબા = જબા)

\n\t
• વિકલ્પ - (4) : (23, 270)
\n

23 x 11 = 270 - 7

253 ≠ (ડાબા ≠ જબા)

Select the option that is related to the third word in the same way as the second word is related to the first word.
\n(The words must be considered as meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)

Cow ∶ Milk ∶∶ Sheep ∶ ?

Logic : Animal : Produces​

\n\t
• Sheep produces wool.
\n

અહીં, C એ D ની પૌત્રી એટલે કે પુત્રીની પુત્રી છે.

Savita Punia led the Indian women's hockey team in the Asia Cup held in Muscat in January 2022. Savita Punia is a goalkeeper and has been a vital member of the Indian women's hockey team for many years.

Neeraj Chopra was the flag bearer of the Indian contingent at the opening ceremony of the Asian Games 2018. The Asian Games is a multi-sport event held every four years, featuring athletes from across Asia.

પીટી ઉષા ડિસેમ્બર 2022 માં ભારતીય ઓલિમ્પિક એસોસિએશનના પ્રથમ મહિલા પ્રમુખ તરીકે ચૂંટાયા હતા. તેઓ ભારતના ભૂતપૂર્વ ટ્રેક અને ફિલ્ડ એથ્લીટ છે, જેમણે ઓલિમ્પિક્સ સહિત અનેક આંતરરાષ્ટ્રીય કાર્યક્રમોમાં ભારતનું પ્રતિનિધિત્વ કર્યું હતું.

ભારતમાં મુસ્લિમ કટ્ટરવાદના વધતા પ્રભાવના પ્રતિભાવ તરીકે હિન્દુ મહાસભાની સ્થાપના 1915માં કરવામાં આવી હતી. સંસ્થાનો હેતુ હિંદુ રાષ્ટ્રવાદને પ્રોત્સાહન આપવા અને હિંદુ સમુદાયના હિતોનું રક્ષણ કરવાનો હતો.

(A + B)3 = 1728 ⇒ (A + B)3 = (12)3 ⇒ (A + B) = 12 and AB = 32 

By hit and trial, we got  A = 8; B= 4. So (A3 - B3) = (8)3 - (4)3 ⇒ 512 - 64 = 448

Simplify the following expression.

\\(\\frac{x^2-2 x-63}{x^2+14 x+49}\\)

\\(\\frac{x^2-2 x-63}{x^2+14 x+49}\\) ⇒ {x2 - 9x + 7x - 63}/{x2 + 7x + 7x + 49} ⇒ {x(x - 9) + 7 (x - 9)}/{x(x + 7) + 7(x + 7)} ⇒ {(x -9) × (x + 7)}/{(x + 7) × (x + 7)} ⇒ \\(\\frac{x-9}{x+7}\\)

The pie chart below shows the distribution of female employees working in a company in five different districts (A, B, C, D and E).

Total number of female employees in five districts = 136000

What is the total number of female employees working in a company in district C and district D?

100% = 136000 ⇒ 1% = 1360

Total number of female employees in districts C and D = 1360 × 30 + 1360 × 15 = 1360 (30 + 15) = 1360 × 45 = 61200

Equivalent discount (D) = 30 + 30 -  (30 × 30)/100 ⇒ (60 - 9) = 51%

Difference in discount = (51 - 40)% = 220 ⇒ 11% = 220 ⇒ 1% = Rs.20

Marked price (M.P) = 100% = 20 × 100 = Rs.2000

y + (1/y) = 4 ⇒ y3 + (1/y3) = (4)3 - 3 × 4 ⇒ y3 + (1/y3) = 64 - 12 = 52

⇒ {y3 + (1/y3)}2 = (52)2 ⇒ y6 + (1/y6) + 2 = 2704 ⇒ y6 + (1/y6) = (2704 - 2) = 2702

Efficiency of A : efficiency of B = 150 : 100 = 3 : 2

Total work = 20 × 2 = 40 units

Time taken to complete the work = 40/5 = 8 days

Length of an arc = (2 × π × R × θ)/360 ⇒ 12 × 360 = 2 × (22/7) × 8 × θ ⇒ θ = (12 × 360 × 7)/(22 × 16) ⇒ θ = (3 × 45 × 7)/11 ⇒ θ = (945/11)° 

Area of sector = (π × R2 × θ)/360 ⇒ (22/7) × (8)2 × (945/11) × (1/360) ⇒ 2 × 16 × 3 × (1/2) = 16 × 3 ⇒ 48 cm2

⇒ 54 units = Rs.540 ⇒ 1 unit = 540/54 = Rs.10 ⇒ Original C.P = 50 units = 50 × 10 = Rs.500

નળાકારની વક્ર સપાટીનું ક્ષેત્રફળ = 2640 સેમી2 ⇒ 2 × π × R × H = 2640 ⇒ 22/7 × R × 12 = 1320 ⇒ 12 × R = 60 × 7 ⇒ R = 35 સેમી

નળાકારનું ઘનફળ = π × R2 × H ⇒ (22/7) × (35)2 × 12 ⇒ 22 × 5 × 35 × 12 = 46200 સેમી3

100 ÷ 10 - [- 2 + {-9 + (3 - 6 of 2)}] ⇒ 10 - [- 2 + {- 9 + (3 - 12)}] ⇒ 10 - [- 2 + {- 9 - 9}] ⇒ 10 - [- 2 - 18] ⇒ 10 + 20 = 30

Simple interest (S.I) = (10200 - 9000) = Rs.1200

Rate = (1200 × 100)/(9000 × 4) ⇒ (10/3) = 3\\(1\\over3\\) %

(x17 + 117) is divisible by (x + 1). So remainder = 0

Time taken for upstream : time taken for downstream = 10 : 7; Speed for upstream : Speed for downstream = 7 : 10

Speed of boat : speed of stream = (10 + 7)/2 : (10 - 7)/2 ⇒ 17 : 3

(35 × 2x) + (38 × x) + (A × 2x) = 42 × 5x ⇒ 70x + 38x + 2Ax = 210x ⇒ 2Ax = (210x - 108x) ⇒ 2A = 102 ⇒ A = 102/2 =51 રૂપિયા/કિલો

Direct common tangent = 2 × √(R × r) ⇒ 2 × √(3 × 6) ⇒ 2 × 3 × √2 = 6√2 cm

5√3 cos 60° tan 30° - 3 cos 0° + 3 cos2 45° + 2 sin2 60°

⇒ 5√3 x (1/2) x (1/√3) - 3 x 1 + 3 x (1/√2)2 + 2 x (√3/2)2 ⇒ 5√3 x (1/2) x (1/√3) - 3 + 3/2 + 3/2 ⇒ 5/2 - 3 + 3/2 + 3/2 ⇒ 2.5 - 3 + 3 ⇒ 2.5

Upstream speed = (U - V) = 15.2 km/h. Downstream speed = (U + V) = 20.8 km/h

Speed of stream (V) = (20.8 - 15.2)/2 = 5.6/2 = 2.8 km/h

2M x 6 = 3W x 4 ⇒ M/W = 1/1

કુલ કામ = 3W x 4 = 3 x 1 x 4 = 12 એકમો

1 પુરુષ અને 2 સ્ત્રીઓ દ્વારા કામ પૂર્ણ કરવાનો સમય = 12/(1 + 2) = 12/3 = 4 દિવસ

Effective percentage change in salary = 30 - 30 - (30 × 30)/100 ⇒ 0 - 9 = - 9%

આપેલ:

Cos ² θ = 3/4

વપરાયેલ સૂત્ર:

Cos 30° = Sin 60° = √3/2

ગણતરી:

Cos 2 θ = 3/4

⇒ cos θ = √(3/4) = √3/2

⇒ cos θ = cos 30°

⇒ θ = 30°

sin (θ + 30°) =  sin (30° + 30°)

⇒ sin 60° = √3/2

∴ સાચો જવાબ √3/2 છે.

Efficiency of B = (4 - 1) = 3 units/day

Time taken to complete the work alone = 14/3 days.

\\(\\frac{r^2}{15^2}+\\frac{s^2}{16^2}\\) ⇒ {15 (sin θ + cos θ)}2/15² + {16 (sin θ - cos θ)}2/16² ⇒ {225 x (1 + 2sin θ cos θ)}/225 + {256 x (1 - 2sin θ cos θ)/256} ⇒ 1 + 1 = 2

નીચેનું કોષ્ટક ગરીબી રેખા નીચેનાં ચાર રાજ્યોની વસ્તીની ટકાવારી અને ગરીબી રેખા નીચે અને ઉપરના પુરૂષો અને મહિલાઓનું પ્રમાણ દર્શાવે છે.

જો રાજ્ય B ની કુલ વસ્તી 7,200 છે, તો તે રાજ્યમાં ગરીબી રેખા નીચેની મહિલાઓની સંખ્યા કેટલી છે?

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

Does she prepare the lesson?

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. And also, they contribute to the development of social and environmental solutions for the planet's future.

B. Companies do play an important role in modern society.

C. Because of their systematic relevance and their impact on policy-making, companies must use their influence in ways that benefit the public good.

D. Some corporations have become so large that their activities and strategic decisions have a direct impact on government policy and citizens' lives.

Select the most appropriate meaning of the underlined idiom in the following sentence.

I just went to Bali on a backpacking trip and did everything by the ear without any itinerary.

Select the option that is OPPOSITE in meaning to the given word.

Jubilant

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

Changing secret and coded messages in a readable form

Identify the INCORRECTLY spelt word in the given sentence.

Successful people often have a role modal who inspired them to greatness.

Choose the option that rectifies the incorrectly spelt underlined word.

Mr. Singh is a phenomenally sucsesful salesperson.

Select the most appropriate ANTONYM of the given word.

Grow

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

Enjoying or affording warm secure shelter or cover and opportunity for ease and contentment

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

Kind, generous, and forgiving.

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

You wash / the dishes / and / I dry the same.

Select the grammatically correct sentence.

A. As a nation, India is a united country and shall always remain so.

B. As nation, India is a united country and shall always remain so.

C. As the nation, India is a united country and shall always remain so.

D. As a nation, India is an united country and shall always remain so.

Select the most appropriate option to fill in the blank.

I take my _____ off to our freedom fighters for their service to our country.

Select the most appropriate option to fill in the blank.

_____ droplets settled on top of leaves.

Select the most appropriate ANTONYM of the underlined word to fill in the blank.

Instead of becoming joyous to hear the breaking news, she became _________.

Select the most appropriate option that can substitute the underlined segment in the given sentence.

The young boy displayed an aptitude on scientific research.

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

The magazine house was expecting unpublished authors for their forthcoming exclusive issue on new trends.

Select the correct option to substitute the underlined segment in the given sentence.

He had given me that book in 1999.

Select the most appropriate synonym of the given word.

Predicament

Select the most appropriate ANTONYM of the underlined word.

His knowledge is superficial in nature.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.

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

The modern world (1)______  around technology. It has advanced dramatically in the beyond twenty years and presently, we can't envision a world without PCs and cell phones. The last century saw fast progressions in innovation and science which were unfathomable previously. The internet is perhaps the most significant of these. Today, it is no longer a science fiction concept to communicate with people anywhere in the world. While smart phones keep us constantly connected to the virtual world, wireless internet has eliminated the need to use a physical wire to connect with this world. Today, we rely on the internet to pay our bills, book tickets, travel and conduct banking transactions. Li-Fi, a new technology that uses light signals to (2)_________ data and reduces external interference, is currently in development.

On the other hand, such rapid progress comes with some (3)_______ Another sort of wrongdoing, known as digital wrongdoing, is the greatest danger to security today. WannaCry was one of the biggest recent cyberattacks. It infected more than 230,000 computers in over 150 countries and threatened to erase valuable data unless ransom payments were made. Personal and (4)_______ data continue to be stolen frequently, and our country's cyber security is still lacking. It's also possible to say that people miss out on important experiences in the real world because they spend so much time in the virtual world. The distinction between the real and online worlds sometimes appears to blur, especially as social media grows in popularity. For instance, the internet was said to have become so addictive in China that programs were established to help people get off of it. However, technology's benefits (5)_______ its drawbacks. It all comes down to what we do with it. One thing to keep in mind is that technology can serve us well but not completely.