Common Admission Test (CAT) Questions and Answers with Explanation

Q:

The length of a rectangular plot is increased by 50%, to keep its area unchanged, the width of the plot should be decreased by ______?

A) 29.87%	B) 33.33%
C) 22.22%	D) 19.5%

Answer & Explanation Answer: B) 33.33%

Explanation:

% Decrease in Width = $\frac{50}{150} x 100$

= 33.33%

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Q:

Which part of a computer performs calculations?

A) Control unit	B) Arithmetic and logical unit
C) Both A & B	D) Logic bus

Answer & Explanation Answer: B) Arithmetic and logical unit

Explanation:

A computer has a CPU which is called as Central Processing UNit or a Processor builton the mother board. It has many components like control unit and Arithmetic and logical unit.

The Arithmetic and logical unit of the CPU performs the arithmetic operations or mathematical calculations.

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Q:

In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ?

A) 138 to 164	B) 125 to 147
C) 148 to 158	D) 152 to 164

Answer & Explanation Answer: D) 152 to 164

Explanation:

A+7B=112

it is clear that A = 14, then it becomes A>=B, but A is smallest angle) given
so, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)
so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)
so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)

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Q:

What is the main component of bones and teeth?

A) Calcium Phosphate	B) Calcium Carbonate
C) Calcium Nitrate	D) Calcium Sulphate

Answer & Explanation Answer: A) Calcium Phosphate

Explanation:

The main component of bones and teeth is Calcium Phosphate.

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Q:

Which of the following is a true statement about Intranet and Internet ?

A) Encryption is necessary	B) They use similar protocol
C) Speed is slow	D) They use the same protocol

Answer & Explanation Answer: D) They use the same protocol

Explanation:

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Q:

Two trains 85 m and 75 m long are running in same direction with speeds of 62 km/hr and 44 km/hr respectively. In what time will the first train cross the second train ?

A) 22 sec	B) 32 sec
C) 42 sec	D) 52 sec

Answer & Explanation Answer: B) 32 sec

Explanation:

Given that,

1st train speed = 62 km/hr

2nd train speed = 44 km/hr

Hence the relative speed of two trains is : 62-44 = 18 km/hr = $18 \times \frac{5}{18}$ m/s = 5 m/s.

There fore, the first train crosses the second train i.e (85+75)mts of distance with a speed of 5m/s in,

time = $\frac{d i s \tan c e}{s p e e d} = \frac{85 + 75}{5}$ = 32 sec.

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Q:

Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book?

A) 58	B) 60
C) 55	D) 45

Answer & Explanation Answer: B) 60

Explanation:

-5-----------------------5-------------------20

5-(-5) = 10

20-5= 15

Ratio of cost price of book1 and book2 = 3:2

Then cost price of book 1 is given by

(3/5) x 100 = Rs. 60.

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Q:

Heat transfer horizontally within the atmosphere is called

A) Convection	B) Advection
C) Conduction	D) Absorption

Answer & Explanation Answer: B) Advection

Explanation:

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