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CAPF (AC) 2023 (Paper-1) (Questions 51-100)

📆 August 12, 2025

Total Questions: 50

31. Suppose a, b and c are three distinct natural numbers such that a + b + c = abc.

Consider the following statements:

1.. The arithmetic mean of a, b and c is a natural number.

2. The harmonic mean of a, b and c lies between 1 and 2.

Which of the statements given above is/are correct?

Correct Answer: (c) Both 1 and 2
Solution:∴ a, b and c are three distinct natural numbers such that a + b + c = abc.

Leta a = 1, b = 2, c = 3

1 + 2 + 3 = 1 × 2 × 3

6 = 6

1. The arithmetic mean of a, b and c is = (a+b+c)/3

⇒ (1+2+3)/3 ⇒ 6/3 = 2

'2' is a natural number.

2. The harmonic mean of a, b and c is ⇒ [(1+1+1) ÷ (1/a + 1/b + 1/c)]

⇒ (3abc) ÷ (bc+ab+ac) ⇒ (3×1×2×3) ÷ (6+3+2 )

⇒ 18 / 11 ; 1 < 18 / 11 > 2

Both the statements are correct.

32. How many three-digit numbers are possible such that the difference between the original number and the number obtained by reversing the digits is 396? (no digit is repeated)

Correct Answer: (d) 40
Solution:Let the ones, tens and hundreds digits of a number are a, b, and c.

Number = 100c + 10b + a

The number obtained by reversing the digits ⇒ 100a + 10b + c

difference between the numbers = 396

100c + 10b + a - (100a + 10b + c) = 396

99c - 99a = 396

c - a = 4

The numbers which has 4 as a difference between the hundreds and ones digit.

'40' three - digit numbers are possible such that the difference between the original number and the number obtained by reversing the digits is 396 and no digit is repeated.

33. Which of the following statements is/are correct?

1. Population ageing is the process by which the share of the older population becomes proportionately lesser.

2. In most of the developed countries, the population in higher age groups has increased.

Select the correct answer using the code given below:

Correct Answer: (b) 2 only
Solution:Population ageing is the process by which the share of the older population becomes proportionally larger. This is a new phenomenon of the twentieth century. In most of the developed countries of the world, population in higher age groups has increased due to increased life expectancy. With a reduction in birth rates, the proportion of children in the population has declined.

34. Which of the following statements is/are correct about 'Action for Climate Empowerment' (ACE)?

1. It is a term adopted by the UN Framework Convention on Climate Change.

2. This term is related to the Paris Agreement.

Select the correct answer using the code given below:

Correct Answer: (c) Both 1 and 2
Solution:Action for Climate Empowerment (ACE) is a term adopted by the UN Framework Convention on Climate Change to denote work under Article 6 of the Convention and Article 12 of the Paris Agreement.

35. What is "Climate Neutral Now" initiative?

1. It encourages organizations and other interested stakeholders to act now in order to achieve a carbon neutral world by 2030.

2. It derives its aims from the Paris agreement.

Select the correct answer using the code given below:

Correct Answer: (b) 2 only
Solution:The Climate Neutral Now Initiative encourages and supports organizations to act now in order to achieve a climate neutral world by 2050, as enshrined in the Paris Agreement. It is a tool to promote additional voluntary action on climate and to provide recognition for it.

36. Which of the following statements is/are correct about KAVACH-2023?

1. It is a joint coordination committee of all three wings of India's armed forces to protect India's borders.

2. It is India's national level hackathon jointly launched by AICTE and BPRD to tackle cyber threats.

Select the correct answer using the code given below:

Correct Answer: (b) 2 only
Solution:KAVACH-2023 is a national level hackathon that was launched to find innovative ideas and technological solutions to address the cyber security challenges. It is being organized by the Union Education Ministry's Innovation Cell, All India Council for Technical Education (AICTE), Bureau of Police Research and Development (BPR&D, MHA) and Indian Cyber Crime Coordination Centre (I4C, MHA).

37. Which one among the following statements with reference to the 'Neolithic Period' is not correct?

Correct Answer: (c) The characteristic features appeared almost at the same time in various parts of the subcontinent.
Solution:The Neolithic Period, also known as the 'New Stone Age,' is characterized by ground and polished stone tools, agriculture, animal domestication, and pottery. These developments did not occur uniformly across different regions; instead, they emerged at different times and spread gradually

38. Which one of the following is not a pottery type?

Correct Answer: (b) CCE
Solution:The Ochre Coloured Pottery culture is a Bronze Age culture of the Indo-Gangetic Plain "generally dated 2000-1500 BCE,". Northern Black Polished Ware (NBPW) was popular during the previous and early Mauryan eras. Black and Red Ware (BRW) it is associated with the Neolithic phase, Harappa, Bronze Age India, Iron Age India, the megalithic and the early historical period. Painted Grey-Ware (PGW) culture is an Iron Age Indo-Aryan culture of the western Gangetic plain and the Ghaggar-Hakra valley in the Indian subcontinent.

39. Which one of the following political centers finds a mention in Ashokan inscriptions?

Correct Answer: (c) Suvarnagiri
Solution:There were fiv e major political centres in the empire the capital Pataliputra and the provincial centres of Taxila, Ujjayini, Tosali and Suvarnagiri, all mentioned in Asokan inscriptions.

40. Which one of the following statements with reference to the ancient Indian coins is not correct?

Correct Answer: (c) The Kushana gold coins were different in weight from the coins issued by contemporary Roman emperors.
Solution:The first coins to bear the names and images of rulers were issued by the Indo-Greeks, who established control over the north-western part of the subcontinent c. second century BCE. The kushanas, however, issued the largest hoards of gold coins first gold coins c. first century CE.

These were virtually identical in weight with those issued by contemporary Roman emperors and the Parthian rulers of Iran, and have been found from several sites in north India and Central Asia. The widespread use of gold coins indicates the enormous value of the transactions that were taking place.

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