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CAPF || Mini Mock

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Question 1

Consider a triangle ABC, where A,B and C are the angles of the triangle then find the value of

Question 2

From the top of an 8 m high pillar, the angle of elevation of the top of a TV tower is  and the angle of depression of its foot is  . Find the height of TV tower :

Question 3

If the mean of five observations t , t+2 , t+4 , t+6 and t+8 is 11, then the mean of first two observations is :

Question 4

The last digit of the expression :

Question 5

Which one of the following is a set of solutions of the equation  , if  is a positive integer ?

Question 6

find remainder when ) Divided by 10 ?

Question 7

Let PQRS be the diameter of a circle of radium 9 cm. The length PQ, QR and RS are equal. Semi-circle is drawn with QS as diameter (as shown in the given figure). What is the ratio of the shaded region to that of the unshaded region?

Question 8

The total outer surface area of a right circular cone of height 24 cm with a hemisphere of radius 7 cm upon its base is

Question 9

An observer on the top of a tree, finds the angle of depression of a car moving towards the tree to be 30oo. After 3 minutes this angle becomes 60o. After how much more time, the car will reach the tree

Question 10

If a, b, c are non-zero vectors such that  then which statement is true

Question 11

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 12

Two positions of a dice are shown below. When surface 4 touch the bottom, what surface will be on top?

Question 13

Which diagram depicts relationship between Aquatic, terrestrial and amphibian?

Question 14

In each of the following questions, four words are given, out of which three are alike in some manner and the fourth one is different. Choose the odd one.

Question 15

If, in a code language ‘786’ means ‘study very hard’, ‘958’ means ‘hard work pays’ and ‘645’ means ‘study and work’ then find the code for ‘very’?

Question 16

Find the odd one out.

Bake, Peel, Fry, Boil

Question 17

Five friends are standing in a line. Nishu is taller than Riya but shorter than Pooja. Amrita is the shortest. Riya is shorter than Nishu but taller than Nikita.Who is the second tallest?

Question 18

Direction: In each of the following questions, a number series is given with one term missing. Choosing the correct alternative, that will continue the same pattern.

1, 64, 243, 256, 125,  …..

Question 19

Direction: select the related letters/word/number from the given alternatives.

zoology: animals:: Entomology: ?

Question 20

Direction: select the related letters/word/number from the given alternatives.
A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place?
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Apr 15CDS & Defence