CAPF (AC) 2023 (Paper-1) (Questions 1-50)

Total Questions: 50

1. Pointing towards a photograph Mr. Ajit said, "She is my father's wife's son's only sister."

What is the relation of the person in the photograph with Mr. Ajit?

Correct Answer: (d) Sister
Solution:

2. Three circles of radius 5 cm each, touch each other. If the points of contact are P, Q and R, then what is the area of the triangle PQR in sq. cm?

Correct Answer: (b) (25√3)/4
Solution:

Radius of each circle is 5 cm.
In Δ ABC
∴ P and Q are mid-points of AB and AC.
PQ || BC
∴ PQ = QR = PR = 5 cm
Area of Δ PQR = √3/4 × (side)²
⇒ √3/4 × (5)²
⇒ (25√3)/4 cm²

3. The right-angled triangle ABC is such that angle B = 90º . Point D is picked on BC such that triangles ABC and DBA are similar. If AB : BC = m : n what is ΔABC : ΔABD, where Δ denotes the area of a triangle?

Correct Answer: (b) n² : m²
Solution:

(Area of Δ ABC)/(Area of ΔDBA) = (BC)²/(AB)² {(AB)/(BC) = m/n}
(Area of ABC)/(Area of DBA)

4. On a large ground, there is a straight tall vertical wall of length 28 m. A goat is tied to a point on the ground which is at the middle of the wall, using a rope. If the length of the rope is 21 m, what is the area of the region (in sq. m) around the wall that the goat can access?

Correct Answer: (a) 847
Solution:

The length of rope (radius) = 21 m
Area of half circle
⇒ πr²/2
⇒ 22/7 × [(21 × 21)/2]
⇒ 693 m²

5. A rectangular wall is divided into four squares of equal size where there are two rows each having two squares. The top left square is coloured with green. If, including green, there are three colours available and each square is coloured using any one of these three colours such that no two adjacent squares get painted with the same colour, then how many colour combinations are possible?

Correct Answer: (c) 6
Solution:

6. Which of the following statements about National Emergency is/are correct?

1. A Proclamation of Emergency may be made by the President only when the security of India or any part thereof armed is threatened by war or external aggression or armed rebellion
2. The Government of India acquires power to give directions to a State on any matter.
3. The Proclamation of Emergency does not suspended the State legislature.
4. The Proclamation of Emergency can continue for a maximum period of six months at a time only if approved by resolutions of both the Houses of Parliament.

Select the correct answer using the code given below:

Correct Answer: (c) 1, 2 and 3 only
Solution:

Under Article 352, the President can declare a national emergency when the security of India or a part of it is threatened by war or external aggression or armed rebellion.

The president may proclaim a national emergency if he considers there is an urgent danger of war, external aggression, or armed rebellion, even before any of these events actually occur.

Under Article 353 (B) State legislatures continue to operate and legislate, but parliament assumes concurrent legislative power on state subjects and a law such enacted by parliament, shall cease to operate at the expiry of six months after the revocation of national emergency, to the extent of incompetency.

If parliament approves such a proclamation, then it will be in force for 6 months from the date on which it was approved by the parliament, unless revoked earlier.

7. Which one of the following statements with regard to impeachment of a Judge of the Supreme Court of India is not correct?

Correct Answer: (a) A motion addressed to the President, signed by at least 100 members of both the Houses of the Parliament is the delivered to the speaker.
Solution:

The Judges (Inquiry) Act, 1968 contains details of the process. The motion is to be signed by 50 members of Rajya Sabha or 100 members of Lok Sabha. If it is admitted, an inquiry committee will probe the charges It will consist of an SC judge, a Chief Justice of an HC and a distinguished jurist.

If the charges stand proven, the motion is to be presented to each House of Parliament. It has to be passed by a majority of the House and 2/3rds of those present and voting in the same session. Even if the charges are proved, the Parliament is not bound to remove the judge. Finally, the President will issue the order removing the judge.

8. Which of the following are India's G20 priorities?

1. Green Development

2. Women-led Development

3. Climate Finance

4. Digital Public Infrastructure

Select the correct answer using the code given below:

Correct Answer: (d) 1, 2, 3 and 4
Solution:

India's G20 Presidency priorities are inclusive and grounded, with broad areas of substantive deliberations comprising inclusive and resilient growth; progress on SDGs; green development and Life; technological transformation and public digital infrastructure; reforming multilateral institutions; women led development; and international peace and harmony.

Outcomes in these areas would emerge out of the deliberations during the course of our G20 Presidency.

9. Which of the following are the objectives of SAARC?

1. To promote the welfare of the peoples of South Asia and to improve the quality of life
2. To promote and strengthen collective self-reliance among the countries of South Asia
3. To contribute to mutual trust, understanding and appreciation of one another's problems
4. To work towards ending cross-border terrorism

Select the correct answer using the code given below:

Correct Answer: (b) 1, 2 and 3 only
Solution:

The South Asian Association for Regional Cooperation (SAARC) was established on 8 December 1985. The Secretariat of the Association was set up in Kathmandu, Nepal, on 17 January 1987. SAARC has eight member countries (Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan and Sri-Lanka).

The objectives of the Association are: to promote the welfare of the peoples of South Asia and to improve their quality of life; to accelerate economic growth, social progress and cultural development in the region and to provide all individuals the opportunity to live in dignity and to realize their full potentials.

10. Pure, demineralized water, free from all soluble mineral salts is obtained by which of the following method?

Correct Answer: (c) Passing water through a cation exchange and an anion exchanges resin bed
Solution:

A demineralization water can be obtained by removing minerals from water, For this, ion exchange resins are used. First water is passed through cation exchange resin. Then water is passed through anion exchange resin.

  • on exchange (IX) is one of the most common methods of water demineralization. The cations in the water exchange with the hydrogen ions on the resin, while the anions exchange with the hydroxide ions on the resin.
  • As water flows through the resins, the functional groups on the ion exchange resin undergo displacement reactions with the anions and cations present in the water, resulting in the generation of hydrogen ions and hydroxide ions. These two ions constitute the ions that make up H20.