CAPF || Mini Mock for CDS & Defence Exams

Question 1

The value of (a + b + c)(ab + bc +ca) – 9abc will be

Question 2

what is the harmonic mean of the roots of the equation

Question 3

The compound interest of third year on a certain principal at the rate of 10% per annum compounded annually is Rs. 121 . Then find the simple interest on that principal for 10 years at the rate of 5% per annum ?

Question 4

20 litres of a mixture contains 25% milk and the rest water. If 4 litres of water be mixed in it, the percentage of milk in the new mixture will be –

Question 5

Direction: Consider the following diagram for next three question.

In the diagram below, BP = DE = 10 cm and .

What is the length of PE?

Question 6

Direction: Consider the following diagram for next three question.

In the diagram below, BP = DE = 10 cm and .

What is the length of AC?

Question 7

Direction: Consider the following diagram for next three question.

In the diagram below, BP = DE = 10 cm and .

What would be the area of triangle ABC?

Question 8

Suppose chords AB and CD of a circle intersect at a point P inside the circle. Two right-angled triangles A’P’B’ and C’Q’D’ are formed as shown in the figures below such that

and

Which of the following statements are not correct?
1) A’P’B’ and C’Q’D’ are similar triangles, but need not be congruent.
2) A’P’B’ and C’Q’D’ are congruent triangles.
3) A’P’B’ and C’Q’D’ are traiangles of same area.
4) A’P’B’ and C’Q’D’ are triangles of same perimeter.
Select the correct answer wsing the code given below.

Question 9

A rod of length 45 cm stands vertical at a distance of 14 cm from a point O in a plane. The rod starts rotating about the points O in such a way that the horizontal distance between point and rod is constant while the rod is always vertical to the plane. What is the total surface area of the geometry thus formed?

Question 10

A right circular cone is sliced into a smaller cone and a frustum of a cone by a plane perpendicular to its axis. The volume of the smaller cone and the frustum of the cone are in the ratio 64 : 61. Then their curved surface areas are in the ratio

Question 11

As per data in the table, what is the percentage of students who got 10 or more marks?

Question 12

Evaluate 8 + 2 ÷ 3 – 4 × 6, if + means ÷, ÷ means –, – means × and × means +.

Question 13

How many triangles are there in the given figure?

Question 14

Three persons P,Q and R are standing in a line. There are 5 persons between P and Q and 8 persons between Q and R. if there are 3 persons ahead of R and 21 persons behind of P, then what could be the minimum number of person in the line?

Question 15

In each of the following questions, certain pairs of words are given, out of which the words in all pairs except one, bear a certain common relationship. Choose the pair in which the words are diffently related

Question 16

Statements

(a) All teachers are experienced.

(b) Some teachers are spinsters.

Conclusions

(I) Some experienced are spinsters

(II) Some spinsters are experienced

Question 17

All the six members of a family A, B, C, D, E and F are going for dinner. B is son of C but C is not mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. Among them who are the sons of A?

Question 18

Which diagram depicts relationship between Females, nieces and cousins.

Question 19

what will replace question mark?

Question 20

readable the word in meaningful arrangement

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