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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Filed Under: Probability
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97 22005

Q:

Eye : Myopia :: Teeth : ?

A) Cataract	B) Trachoma
C) Eczema	D) Pyorrhea

Answer & Explanation Answer: D) Pyorrhea

Explanation:

The second word is a disease of the first word.

That is here Myopia is the disease of the eyes. Similarly, Pyorrhea is the disease of the teeth.

Hence, Eye : Myopia :: Teeth : Pyorrhea.

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41 21970

Q:

Quantitatively, the inertia of an object is measured by ______________.

A) its weight	B) the product of its mass and velocity
C) its mass	D) the product of its mass and acceleration

Answer & Explanation Answer: C) its mass

Explanation:

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Filed Under: Physics
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0 21959

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 21954

Q:

A can finish a work in 18 days and B can do the same work in half the time taken by A. then, working together, what part of the same work they can finish in a day ?

A) Total work	B) One-fourth work
C) Half work	D) Two-third work

Answer & Explanation Answer: C) Half work

Explanation:

A can do the work = 18 days
B can do the work = 18/2 = 9 days
(A + B)'s 1 day work = 1/18 + 1/9 = 1/6
=> In 3 days = 3x1/6 = 1/2 work is completed.

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Filed Under: Time and Work
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30 21923

Q:

What is the Study of human beauty called?

A) Argology	B) Kalology
C) Agrostology	D) Oncology

Answer & Explanation Answer: B) Kalology

Explanation:

The Study of human beauty and the ways in which beauty influences the society is called as Kalology.

What_is_the_Study_of_human_beauty_called1556276841.jpg image

This study is focused primarily on human attractiveness, rather than the broader field of aesthetics.

Opposite of beauty is Ugly.

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66 21901

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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3 21812

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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