CAPF (AC) 2019 (Paper-1) (Question 1-50)

Total Questions: 50

41. If a circle and a square have the same perimeter, then

(a) their areas are equal
(b) the area of the circle is greater than the area of the square
(c) the area of the square is greater than the area of circle
(d) the area of the circle is two times the area of the square

Correct Answer: (b) the area of the circle is greater than the area of the square

Solution:If a circle and a square have the same perimeter.

Then, 2πr = 4a [where, r = radius of the circle and a = side of the square]

⇒ 2 × (22/7) r = 4a

⇒ r/a = 7/11

Area of circle = πr² = (22/7) × 7 × 7 = 154 square unit

Area of square = (a)² = 121 square unit

Hence, area of circle is greater than the area of square.

42. Let x² + y² = 1 ; u² + v² = 1 and xu + yv = 0 then

1. x² + u² = 1

2. y² + v² = 1

3. xy + uv = 0

Which of the above is/are true?

(a) 3 only
(b) 1 and 2 only
(c) 1, 2 and 3
(d) 2 and 3 only

Correct Answer: (c) 1, 2 and 3

Solution:x² + y² = 1 ....... (1)

u² + v² = 1 ....... (2)

xu + yv = 0 ....... (3)

Let y = 0 and u = 0

Then, x² + 0 = 1, x = 1

0 + v² = 1, v = 1

and these values also satisfy the equation (3),

1. x² + u² = 1 Putting the values of x and u.

1 + 0 = 1, 1 = 1 (True)

2. y² + v² = 1 Putting the values of y and v.

0 + 1 = 1, 1 = 1 (True)

3. xy + uv = 0 Putting the values of x, y, u and v.

1 × 0 + 0 × 1 = 0, 0 = 0 (True)

Hence, all three are true.

43. If the first day of the year (other than the leap year) was Sunday, then which was the last day of that year?

(a) Monday
(b) Sunday
(c) Saturday
(d) None of these

Correct Answer: (b) Sunday

Solution:If the first day of the year was Sunday. Then, last day of the year would be Sunday.

44. A walks 10 metres in front and 10 metres to the right. Then every time turning to his left he walks 5, 15 and 15 metres respectively. How far is he now from his starting point?

(a) 55 metres
(b) 23 metres
(c) 5 metres
(d) None of these

Correct Answer: (c) 5 metres

Solution:

So, he is 5 meter far.

45. Which of the following is NOT provided for under the Directive Principles of State Policy?

(a) Right to work, to education and to public assistance in certain cases
(b) Uniform Civil Code for the citizens
(c) Separation of Judiciary from executive
(d) Participation of workers in the management of local-self government

Correct Answer: (d) Participation of workers in the management of local-self government

Solution:Participation of workers in the management of local - self - government is not part of the Directive Principles of State Policy. These acts are the principles that aim at providing social and economic justice and set the path towards the welfare state.

46. According to which one of the following plans/reports, the decision with regard to the partition of Punjab and Bengal was to be taken on the basis of voting of the Members of the respective Legislative Assemblies?

(a) Nehru report
(b) Cripps mission plan
(c) Beveridge report -
(d) Mountbatten plan

Correct Answer: (d) Mountbatten plan

Solution:According to Mountbatten plan the decision with regard to the partition of Punjab and Bengal was to be taken on the basis of voting of the members of the respective legislative assemblies.

47. Which of the following statements about Max Weber's ideal theory of Bureaucracy is/are correct?

1. It refers to the dominant class character.

2. Bureaucracy is associated with structural and behavioral characteristics.

Select the correct answer using the code given below :

(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2

Correct Answer: (b) 2 only

Solution:Max Weber's ideal theory of Bureaucracy does not include the concept of the dominant class character. It largely focuses on the structural and behavioral characteristics of bureaucracy, emphasizing hierarchy, division of labor, and rationality in decision-making. However, it is a generally accepted understanding of bureaucracy that aligns with Weber's ideas. Bureaucracies typically have well-defined structures, rules, and procedures, and they exhibit specific behavioral patterns.

48. Which one of the following statements regarding the Directive Principles of State Policy is NOT correct?

(a) State shall follow the Directive Principles of State Policy both in the matter of administration as well as in the making of laws
(b) The Directive Principles of State Policy embody the object of the State under the republican Constitution
(c) The Directive Principles of State Policy have precedence over the Fundamental Rights in case of conflict between the two
(d) The Directive Principles of State Policy are not enforceable in the Courts

Correct Answer: (c) The Directive Principles of State Policy have precedence over the Fundamental Rights in case of conflict between the two

Solution:The Directive Principles of State Policy have no precedence over the Fundamental Rights in case of conflict between the two. Judicial pronouncements by the Supreme Court show that Fundamental rights have an edge over Directive Principles of State Policy.

49. Which of the following are the defining features of liberal democracy?

1. Constitutional government based on formal, usually legal, rules

2. Guarantees of civil liberties and individual rights

3. It invests political authority with potentially unlimited power

Select the correct answer using the code given below:

(a) 1 and 3 only
(b) 1 and 2 only
(c) 2 and 3 only

Correct Answer: (b) 1 and 2 only

Solution:The Liberal Democracy is a democratic system of government in which individual rights and freedoms are officially recognized and protected, and the exercise of political power is limited by the rule of law. Hence the statements 1 and 2 are correct.

50. Phreatophytes are the plants adapted to grow in

(a) moist shaded places
(b) rocky environments
(c) arid environments
(d) active volcanic lava

Correct Answer: (c) arid environments

Solution:Phreatophytes are the plants adapted to grow in arid environments. These plants due to their long deep roots are capable of reaching the water table and can grow in arid conditions.

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