Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 9 hours after they passed each other the ratio of the speeds of the two trains was

A) 2:1	B) 3:2
C) 4:3	D) 5:4

Answer & Explanation Answer: B) 3:2

Explanation:

Note : If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b : a)

Therefore, Ratio of the speeds of two trains = $\sqrt{9} : \sqrt{4}$ = 3 : 2

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Q:

If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ?

A) 31/25	B) 15/17
C) 14/25	D) 11/16

Answer & Explanation Answer: B) 15/17

Explanation:

The original fraction is $\frac{25}{51} \times (\frac{350 + 100}{150 + 100})$ = 15/17.

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Filed Under: Percentage
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61 33879

Q:

Bill : Law :: ? : Insect

A) Pupa	B) Stage
C) Larva	D) Bird

Answer & Explanation Answer: C) Larva

Explanation:

A Bill becomes a Law; a Larva becomes an insect. (Or)

A Bill turns into a law; a Larva turns into an Insect.

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Filed Under: Analogy
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37 33696

Q:

A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?

A) 34	B) 36
C) 35	D) 37

Answer & Explanation Answer: D) 37

Explanation:

16x + 85 = 17(x + 3)

x = 34 + 3 = 37

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Filed Under: Average
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41 33603

Q:

Select the related word from the given alternatives.

Yellow : Lemon :: Purple : ?

A) Apple	B) Brinjal
C) Mango	D) Onion

Answer & Explanation Answer: B) Brinjal

Explanation:

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Filed Under: Analogy
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Q:

In the following question, select the related number from the given alternatives.

11 : 16 : : ? : ?

A) 14 : 16	B) 15 : 22
C) 7 : 14	D) 13 : 18

Answer & Explanation Answer: D) 13 : 18

Explanation:

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Q:

Next number in the given series is

9 7 10 6 11 ?

A) 5	B) 4
C) 13	D) 15

Answer & Explanation Answer: A) 5

Explanation:

The given number series is 9 7 10 6 11 ?

Here in this we have two number sequences, they are

9, 10, 11, ... and 7, 6, 5, ...

Hence, the next number in the given number series is 6 - 1 = 5.

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Filed Under: Number Series
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Q:

In the following question, select the related letters from the given alternatives.

GLOW : FJNU : : PTEL : ?

A) ORFN	B) ORDJ
C) ORJD	D) OPNF

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