Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 20

EASY

CAT

IMPORTANT

Earn 100

In a group of $120$ persons, there are $80$ Bengalis and $40$ Gujaratis. Further, $70$ persons in the group are Muslims and the remaining are Hindus. Then, the number of Bengali Muslims in the group is:

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Important Questions on Miscellaneous

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 21

300

persons are participating in a meeting in India, out of which 120 are foreigners, and the rest are Indians. Out of the Indians, there are

110

men who are not judges;

160

are men judges, and

35

are women judges. There are no foreign judges. How many Indian women attended the meeting?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 22

There are six persons: A,B,C,D,E, and F.

A has $3$ items more than C.

D has $4$ items less than B.

E has $6$ items less than F.

C has $2$ items more than E.

F has $3$ items more than D.

Which one of the following figures cannot be equal to the total number of items possessed by all the six persons?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 23

The angle of elevation of the top of a tower from a point

20 m

away from its base is

45 °

. The height of the tower is

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 24

The angle of elevation of the sun when the length of the shadow of a pole is

\sqrt{3}

times the height of the pole will be-

MEDIUM

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 25

A person walking along a st. road towards a hill observes at two points, distance

\sqrt{3} km

, the angles of elevation of the hill to be

30 °

and

60 °

. The height of the hill is-

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 26

The tops of two poles of height

20 m

and

14 m

are connected by a wire. If the wire makes an angle of

30 °

with horizontal, then the length of the wire is

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 27

The angles of elevation of the top of a tower from points at distance

A

and

B

from the base and in the same line with it are complementary. If

A > B

, then height of the tower is:

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 5 - Miscellaneous>Practice Exercises>Q 28

A man walks

10 m

towards a lamp post and notices that the angle of elevation of the top of the post increases from

30 °

to

45 °

. Find the height of the post.