Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A letter is takenout at random from 'ASSISTANT' and another is taken out from 'STATISTICS'. The probability that they are the same letter is :

A) 35/96	B) 19/90
C) 19/96	D) None of these

Answer & Explanation Answer: B) 19/90

Explanation:

$A S S I S T A N T \to A A I N S S S T T$

$S T A T I S T I C S \to A C I I S S S T T T$

Here N and C are not common and same letters can be A, I, S, T. Therefore

Probability of choosing A = $\frac{2_{C_{1}}}{9_{C_{1}}} \times \frac{1_{C_{1}}}{10_{C_{1}}}$ = 1/45

Probability of choosing I = $\frac{1}{9_{C_{1}}} \times \frac{2_{C_{1}}}{10_{C_{1}}}$ = 1/45

Probability of choosing S = $\frac{3_{C_{1}}}{9_{C_{1}}} \times \frac{3_{C_{1}}}{10_{C_{1}}}$ = 1/10

Probability of choosing T = $\frac{2_{C_{1}}}{9_{C_{1}}} \times \frac{3_{C_{1}}}{10_{C_{1}}}$ = 1/15

Hence, Required probability = $\frac{1}{45} + \frac{1}{45} + \frac{1}{10} + \frac{1}{15} = \frac{19}{90}$

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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

Answer & Explanation Answer: C) 30

Explanation:

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Filed Under: Number Series
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1 22221

Q:

I cannot be other than what I am, Until the man who made me dies, Power and glory will fall to me finally, Only when he last closes his eyes.

I_cannot_be_other_than_what_I_am1542359496.jpg image

Answer

I am Prince of a Kingdom. I will be king only if the man who gave me birth i.e, king my father dies.

Workspace

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Subject: Word Puzzles Exam Prep: AIEEE , Bank Exams , CAT
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75 22186

Q:

At what time, between 3 o’clock and 4 o’clock, both the hour hand and minute hand coincide each other ?

A) 3:16 7/11	B) 3:16 11/4
C) 3:30	D) 3:16 4/11

Answer & Explanation Answer: D) 3:16 4/11

Explanation:

Coincide means 00 angle.

This can be calculated using the formulafor time A to B means [11m/2 - 30 (A)]

Here m gives minutes after A the both hands coincides.

Here A = 3, B = 4

0 =11m/2 –30 × 3
11m = 90 × 2 = 180
m= 180/11 = 16 ⁴/₁₁

So time = 3 : 16 ⁴/₁₁

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Filed Under: Clocks
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33 22171

Q:

Find the height of the table?

how_tall_is_the_table1542200476.jpg image

A) 40 cm	B) 150 cm
C) 120 cm	D) 45 cm

Answer & Explanation Answer: B) 150 cm

Explanation:

Let the heights of Cat, Table and Turtle be C, T & R respectively.

From the above given figure,

C + T - R = 170 ......(a)

R + T - C = 130 ......(b)

Adding above eqns (a) & (b), we get

2T = 300

T = 150 cm

Hence, the height of the table is 150 cm.

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66 22144

Q:

Find the one which does not belong to that group ?

A) 2T0	B) 1R8
C) 2Y4	D) 1P6

Answer & Explanation Answer: C) 2Y4

Explanation:

The digits on either side of the letter in each of the groups 1P6, 2T0, and 1R8 indicate the place value of the letter in the alphabet.

This pattern is not followed by 2Y4.

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31 22130

Q:

USB is which type of storage device?

A) Tertiary	B) Secondary
C) Primary	D) Auxillary

Answer & Explanation Answer: B) Secondary

Explanation:

USB - Universal Serial Bus is a secondary type of storage device which is used in all computers, laptops, mobiles...

USB1533034422.jpg image

It is a plug-and-play portable storage device that uses flash memory and is lightweight enough to attach to a keychain.

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58 22074

Q:

Thunder is to Lightning as Grape is to

A) Wine	B) Soil
C) Seed	D) Water

Answer & Explanation Answer: C) Seed

Explanation:

Lightning produces thunder just as a seed will eventually produce a grape.

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Filed Under: Analogy
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19 21990

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