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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Filed Under: Problems on Trains
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76 33809

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 33679

Q:

Which number will complete the series?

0,1,4,15,?,325,1956

A) 60	B) 64
C) 75	D) 80

Answer & Explanation Answer: B) 64

Explanation:

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Filed Under: Number Series
Exam Prep: CAT

18 33563

Q:

Find the next number in the series given 18, 90, 450, 2250, ?

A) 4520	B) 6520
C) 7250	D) 11250

Answer & Explanation Answer: D) 11250

Explanation:

The given number series is 18, 90, 450, 2250, ?

18

18 x 5 = 90

90 x 5 = 450

450 x 5 = 2250

2250 x 5 = 11250

Hence, the next number in the given series is 11250.

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Filed Under: Number Series
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30 33556

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 33516

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 33515

Q:

Select the related word/letters/number from the given alternatives.

CD: GH : : ?

A) PQ: TU	B) RS: UV
C) MN: OR	D) ST: XY

Answer & Explanation Answer: A) PQ: TU

Explanation:

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Filed Under: Analogy
Exam Prep: Bank Exams , CAT

2 33448

Q:

In the following question, select the missing number from the given series.

11, 14, 19, 22, 27, ?

A) 32	B) 31
C) 30	D) 33

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