Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A train running at the speed of 40 km/hr crosses a signal pole in 9 seconds. Find the length of the train ?

A) 90 mts	B) 150 mts
C) 120 mts	D) 100 mts

Answer & Explanation Answer: D) 100 mts

Explanation:

We know that $S p e e d = \frac{d i s \tan c e}{t i m e}$

distance= speed * time

$\Rightarrow$ $d = (40 \times \frac{5}{18}) \times 9$

d= 100 mts.

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Filed Under: Problems on Trains
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11 13876

Q:

Which of the following birds is the state bird of three Indian states ?

A) Great Hornbill	B) Greater Flamingo
C) Hill Mynah	D) Blue Jay (Indian Roller)

Answer & Explanation Answer: D) Blue Jay (Indian Roller)

Explanation:

The 3 states are Andhra Pradesh, Karnataka and Odisha.

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Filed Under: Animals and Birds
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38 13846

Q:

Play is to actor as concert is to

A) Musician	B) percussion
C) symphony	D) piano

Answer & Explanation Answer: A) Musician

Explanation:

An actor performs in a play. A musician performs at a concert.

Choices b, c, and d are incorrect because none is people who perform.

Hence, Play is to actor as concert is to Musician.

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Filed Under: Analogy
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10 13841

Q:

Two goods trains each 520 m long, are running in opposite directions on parallel tracks. Their speeds are 42 km/hr and 36 km/hr respectively. Find the time taken by the slower train to cross the driver of the faster one ?

A) 60 sec	B) 48 sec
C) 45 sec	D) 34 sec

Answer & Explanation Answer: B) 48 sec

Explanation:

Relative speed = 42 + 36 = 78 km/hr = $\frac{65}{3}$ m/s

Distance = (520 + 520) =1040 mts.

Time = $1040 \times \frac{3}{65}$ = 48 sec

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Filed Under: Problems on Trains
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9 13838

Q:

The ratio of the incomes of Pavan and Amar is 4 : 3 and the ratio of their expenditures are 3:2. If each person saves Rs. 1889, then find the income of Pavan?

A) 6548	B) 5667
C) 7556	D) 8457

Answer & Explanation Answer: C) 7556

Explanation:

Let ratio of the incomes of Pavan and Amar be 4x and 3x

and Ratio of their expenditures be 3y and 2y

4x - 3y = 1889 ......... I

and

3x - 2y = 1889 ...........II

I and II

y = 1889

and x = 1889

Pavan's income = 7556

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Filed Under: Ratios and Proportions
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41 13814

Q:

Find the ratio of the areas of the incircle and circumcircle of a square ?

A) 1 : 4	B) 4 : 1
C) 2 : 1	D) 1 : 2

Answer & Explanation Answer: D) 1 : 2

Explanation:

Let the side of the square be x. Then, its diagonal = $\sqrt{2} x$ .

Radius of incircle = x/2 and radius of circumcircle = $\frac{\sqrt{2} x}{2}$ . k11482389216.png image

Therefore, required ratio = $(\frac{{πx}^{2}}{4} : \frac{{πx}^{2}}{2})$ = $\frac{1}{4} : \frac{1}{2} = 1 : 2$

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Filed Under: Area
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22 13813

Q:

When was the Supreme Court of India first inaugurated ?

A) 28th January, 1950	B) 26th November, 1949
C) 30th January, 1949	D) 15th August, 1947

Answer & Explanation Answer: A) 28th January, 1950

Explanation:

The Supreme Court of India was established on 28th January, 1950.

The Supreme Court followed the Federal Court of India which was founded under the Government of India Act, 1935.

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Filed Under: Indian Politics
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27 13809

Q:

There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number ?

A) 17	B) 19
C) 13	D) 11

Answer & Explanation Answer: C) 13

Explanation:

(385/1001) = 5/13

First Number is 5

=> Fourth number is 13

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Filed Under: Problems on Numbers
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14 13781

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