11. The missing number in the box is 3 7 52 5 11 126 ?

The missing number in the box is

3 7 52
5 11 126
? 9 107

is

6
18
26
36
This question was previously asked in
UPSC CAPF – 2012
The missing number in the box is 26.
Let the numbers in each row be a, b, and c. We need to find a pattern relating a, b, and c.
Row 1: (3, 7, 52)
Row 2: (5, 11, 126)
Row 3: (?, 9, 107)
Observing the pattern: The third number (c) appears to be related to the squares of the first two numbers (a and b). Let’s test the pattern: c = b^2 + a.
Row 1: 7^2 + 3 = 49 + 3 = 52. This matches the third number.
Row 2: 11^2 + 5 = 121 + 5 = 126. This also matches the third number.
Applying this pattern to the third row: Let the missing number be x.
9^2 + x = 107
81 + x = 107
x = 107 – 81
x = 26.
This type of question tests pattern recognition and basic arithmetic operations (squaring and addition). The key is to identify the relationship between the given numbers in the sequence or table.

12. Which of the following is the odd one?

Which of the following is the odd one?

31
41
51
61
This question was previously asked in
UPSC CAPF – 2012
51 is the odd one out.
Let’s examine the properties of the numbers:
– 31: Is a prime number (only divisible by 1 and 31).
– 41: Is a prime number (only divisible by 1 and 41).
– 51: Is a composite number (divisible by 1, 3, 17, and 51). 51 = 3 * 17.
– 61: Is a prime number (only divisible by 1 and 61).
Three of the numbers (31, 41, 61) are prime numbers, while 51 is a composite number.
Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. A composite number is a positive integer that can be formed by multiplying two smaller positive integers. This property makes 51 distinct from the others in the list.

13. Facing the east R walks straight 4 km, turns left and walks 3 km and a

Facing the east R walks straight 4 km, turns left and walks 3 km and again turns left and walks 4 km. How far is R now from the starting point?

2 km
3 km
10 km
11 km
This question was previously asked in
UPSC CAPF – 2012
R is 3 km away from the starting point.
Let the starting point be the origin (0,0).
1. Walks straight 4 km facing East: Moves to (4, 0).
2. Turns left and walks 3 km: Turning left from East is North. Moves 3 km North from (4, 0), reaching (4, 3).
3. Again turns left and walks 4 km: Turning left from North is West. Moves 4 km West from (4, 3), reaching (4-4, 3) = (0, 3).
The final position is (0, 3) and the starting position is (0, 0). The distance between these points is the y-coordinate, which is 3 km.
This is a basic vector addition problem, or can be solved using coordinates. The path forms a rectangle (4km East, 3km North, 4km West). The endpoint is directly North of the starting point, at a distance equal to the Northward movement.

14. Which among the following statements about the acquisition of wireless

Which among the following statements about the acquisition of wireless division of WPCS International by a Bengaluru-based Indian firm Kavveri Telecom in July 2012 is/are correct?

  • 1. WPCS International has been into the business of wireless communication making solutions used by the police officers, firemen and other emergency services.
  • 2. Kavveri Telecom makes cellphone tower antennas, radio frequency (RF) components, repeaters and other telecom products.
  • 3. WPCS International is a London-based firm.

Select the correct answer using the code given below.

1, 2 and 3
1 and 2 only
2 and 3 only
1 only
This question was previously asked in
UPSC CAPF – 2012
Statements 1 and 2 are correct regarding the acquisition and the companies involved. Statement 3 is incorrect.
Statement 1: WPCS International specializes in wireless communication solutions, including those used by public safety agencies. This is accurate. Statement 2: Kavveri Telecom Products Ltd. is an Indian company that manufactures telecom equipment such as antennas and RF components, which is also accurate. Statement 3: WPCS International was a US-based company (though it had operations in other regions including the UK). The acquisition by Kavveri Telecom involved its UK and European wireless divisions, but WPCS International itself was not a London-based firm.
This acquisition in 2012 was part of Kavveri Telecom’s strategy to expand its presence in the European market and acquire technological capabilities in specialized wireless communication areas like public safety networks.

15. India’s Kulandei Francis was awarded the year 2012 Ramon Magsaysay Awa

India’s Kulandei Francis was awarded the year 2012 Ramon Magsaysay Award for his

steadfast passion in placing the power and discipline of science in the hands of farmers
passionate commitment as a journalist to restore the rural poor to India's consciousness, moving the nation to action
convincing validation of free and fair elections as the foundation and best hope of secular democracy in strife-torn India
visionary zeal and profound faith in community energies and his sustained programmes in pursuing the holistic economic empowerment of women and their families
This question was previously asked in
UPSC CAPF – 2012
Kulandei Francis was awarded the 2012 Ramon Magsaysay Award for his work related to the economic empowerment of women and their families through community efforts.
Kulandei Francis founded the Integrated Development Trust (IDT) in Tamil Nadu, India. His work focused on organizing rural women into self-help groups, providing them access to credit, and empowering them socially and economically. The award recognized his “visionary zeal and profound faith in community energies and his sustained programmes in pursuing the holistic economic empowerment of women and their families.”
The Ramon Magsaysay Award is an annual award established by the trustees of the Rockefeller Brothers Fund based in New York City, with the cooperation of the Philippine government. It is often considered Asia’s equivalent of the Nobel Prize and is given to individuals who have achieved distinction in their respective fields and helped others.

16. India signed an agreement to avoid double taxation and prevent fiscal

India signed an agreement to avoid double taxation and prevent fiscal evasion with respect to taxes on income on 27th July, 2012 with

Japan
Indonesia
Sweden
Bangladesh
This question was previously asked in
UPSC CAPF – 2012
India signed an agreement for avoidance of double taxation and prevention of fiscal evasion with Sweden on July 27, 2012.
Double Taxation Avoidance Agreements (DTAAs) are signed between countries to prevent income earned in one country from being taxed in both that country and the country of residence. They also include provisions for information exchange to prevent tax evasion. The specific agreement mentioned in the question was indeed signed between India and Sweden on the stated date in New Delhi.
DTAAs are crucial for promoting international trade and investment by providing clarity and certainty on tax matters for businesses and individuals operating across borders. India has signed comprehensive DTAAs with numerous countries.

17. Consider the following statements: 1. The Planning Commission of Ind

Consider the following statements:

  • 1. The Planning Commission of India in its environment performance report, released on 26th July, 2012, ranked Himachal Pradesh as top State in the country on environmental performance index.
  • 2. The World Bank approved an 1100 crore rupees loan for Himachal Pradesh to promote green initiatives and sustain-able development in the State.

Which of the statements given above is/are correct?

1 only
2 only
Both 1 and 2
Neither 1 nor 2
This question was previously asked in
UPSC CAPF – 2012
Both statements are correct regarding Himachal Pradesh’s environmental performance and related financial support in 2012.
Statement 1: Himachal Pradesh has consistently been recognized for its strong environmental performance and efforts towards sustainable development among Indian states. While specific rankings can vary between reports, it was indeed often cited among the top-performing states in environmental indices around that time. Statement 2: The World Bank has been a significant partner in supporting Himachal Pradesh’s development projects, including those focused on environmental sustainability and watershed management. Reports from July 2012 confirm the approval of a substantial loan (around $200 million, which was approximately ₹1100 crore at the time) for such initiatives.
Himachal Pradesh is known for its rich forest cover, hydropower potential, and tourism, making environmental conservation crucial for its economy and sustainability. The state government has implemented several green policies. The World Bank’s support typically aims at enhancing natural resource management, livelihoods, and climate resilience in the state.

18. The US military forces are exiting Afghanistan in 2012. In this situat

The US military forces are exiting Afghanistan in 2012. In this situation, which among the following is/are the most feasible options for India to ensure that there is no take-over of the Afghan government by the Taliban and the country remains stable?

  • 1. India should send in its military to Afghanistan.
  • 2. India and Pakistan should sign a joint framework of cooperation to monitor the Taliban in Afghanistan.
  • 3. India should continue to build roads and schools in Afghanistan.
  • 4. India should train the Afghan armed forces.

Select the correct answer using the code given below:

4 only
1, 2 and 3
2 and 4
3 and 4
This question was previously asked in
UPSC CAPF – 2011
The most feasible options for India to contribute to stability in Afghanistan and prevent a complete Taliban takeover after the US military exit in 2012 were to continue its development assistance and capacity building efforts.
Sending military forces (Option 1) is highly unlikely and politically fraught for India in Afghanistan. A joint framework with Pakistan (Option 2) is also improbable given the historical complexities of India-Pakistan relations and Pakistan’s differing strategic interests and historical ties to the Taliban. Continuing development aid like building infrastructure (Option 3) is a key part of India’s soft power strategy in Afghanistan, fostering goodwill and contributing to stability. Training Afghan armed forces (Option 4) is a direct way to enhance the Afghan government’s ability to provide security and resist militant groups.
India has historically focused on humanitarian aid, infrastructure development, and capacity building in Afghanistan rather than military involvement. This approach aims to strengthen the Afghan state and its institutions. By 2012, India had already undertaken significant projects like building the Zaranj-Delaram highway, the Afghan Parliament building, and the Salma Dam (India-Afghanistan Friendship Dam), alongside training Afghan personnel in various fields, including security forces. These efforts were seen as consistent with India’s policy of supporting the Afghan government and people without direct military intervention.

19. There is an emerging dispute in the South China Sea with China aggress

There is an emerging dispute in the South China Sea with China aggressively laying claim to the entire area including the islands by threatening other Southeast Asian claimants with coercive power. Which among the following is/are the best conflict resolution mechanism(s) in this situation?

  • 1. The US Pacific Command should militarily counter Chinese aggression.
  • 2. The US should sign military pacts with other Southeast Asian nations against China.
  • 3. The dispute should be resolved by utilizing the ASEAN 2002 Declaration on the Conduct of Parties in the South China Sea in a peaceful manner.
  • 4. The UN Security Council should declare China’s aggressive posture as a threat to international peace and security and invoke UN Chapter VII.

Select the correct answer using the code given below:

1 only
3 only
2 and 3
1 and 4
This question was previously asked in
UPSC CAPF – 2011
Utilizing the ASEAN 2002 Declaration on the Conduct of Parties in the South China Sea in a peaceful manner (3) is the most appropriate conflict resolution mechanism among the given options, as it focuses on dialogue and established regional frameworks.
– The South China Sea dispute involves multiple claimants (China, Vietnam, Philippines, Malaysia, Brunei, Taiwan) and is a complex geopolitical issue.
– Military counter-actions (1) or forming military pacts (2) are escalatory measures that could worsen the conflict, not resolve it peacefully.
– Invoking UN Chapter VII (4) is impractical due to China’s veto power as a permanent member of the UNSC and is usually reserved for situations of significant threats to international peace that warrant potential enforcement action.
– The ASEAN Declaration on the Conduct of Parties (DOC) is a politically binding document signed by ASEAN members and China aimed at promoting trust, managing disputes, and working towards a Code of Conduct (COC) in the South China Sea. While its implementation has faced challenges, it represents the agreed regional framework for peaceful engagement and dispute resolution.
Diplomacy, negotiation, adherence to international law (like UNCLOS), and utilization of regional frameworks like the DOC and the ongoing COC negotiations are considered the primary avenues for peacefully resolving the South China Sea dispute. Option 3 focuses on leveraging this established diplomatic pathway.

20. Which of the following statements is true with regard to the J-10 figh

Which of the following statements is true with regard to the J-10 fighter aircraft ?

It is a Russian multi-role single engine version of the Su-30MK1 fighter aircraft
It is an Israeli multi-role fifth generation fighter aircraft
It is a multi-role single engine next generation Chinese fighter aircraft
It is a Pakistani indigenous multi-role fighter aircraft
This question was previously asked in
UPSC CAPF – 2011
The J-10 fighter aircraft is a multi-role, single-engine, next-generation Chinese fighter aircraft.
– The Chengdu J-10 is a lightweight multirole fighter aircraft developed by the Chengdu Aircraft Corporation (CAC) for the People’s Liberation Army Air Force (PLAAF).
– It is a single-engine aircraft designed for both air-to-air combat and ground attack missions.
– While often classified as a 4th or 4.5 generation fighter, it incorporates modern features leading to it being described as “next generation” in the context of options provided.
The J-10 entered service with the PLAAF in the early 2000s. Pakistan is an export customer for the J-10, but it is primarily developed and manufactured in China.

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