Common Admission Test (CAT) Questions and Answers with Explanation

Q:

The number of ways in which 8 distinct toys can be distributed among 5 children?

A) 5P8	B) 5^8
C) 8P5	D) 8^5

Answer & Explanation Answer: B) 5^8

Explanation:

As the toys are distinct and not identical,

For each of the 8 toys, we have three choices as to which child will receive the toy. Therefore, there are $5^{8}$ ways to distribute the toys.

Hence, it is $5^{8}$ and not $8^{5}$ .

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Filed Under: Permutations and Combinations
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16 18363

Q:

Crack the Logical Password of the Mobile ?

logical_password1510123219.jpg image

Answer

65292

1st digit is 3 x 2 = 6

3rd digit is 5-3 = 2

4th digit is 5+4 = 9

6+5 = 2+9 = 9+2 = 11

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE
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72 18320

Q:

Some boys are sitting in a row. P is sitting fourteenth from the left and Q is seventh from the right. If there are four boys between P and Q, how many boys are there in the row ?

A) 26	B) 24
C) 25	D) 22

Answer & Explanation Answer: C) 25

Explanation:

Number of boys in the row = number of boys uptil P + number of boys between P and Q + number of boys including Q and those behind Q = 14 + 4 + 7 = 25.

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Filed Under: Number, Ranking and Time Sequence Test
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69 18264

Q:

A guy walks into a store and steals Rs. 100 from the store without the owner's knowledge.
He then buys Rs. 60 worth of goods using that Rs. 100 and the owner gies Rs. 40 in change.

How much money did the owner lose?

A) RS. 200	B) Rs. 160
C) Rs. 100	D) Rs. 40

Answer & Explanation Answer: C) Rs. 100

Explanation:

The first lost Rs. 100, but after the thief bought Rs. 60 goods, he get that Rs. 100 back but he lost Rs. 60 value of goods and Rs. 40 in change.

So, a total of 60 + 40 = 100 Rs. the owner lose.

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Filed Under: Profit and Loss
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16 18251

Q:

If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is ?

A) Rs. 580	B) Rs. 480
C) Rs. 550	D) Rs. 470

Answer & Explanation Answer: B) Rs. 480

Explanation:

Let the sum be Rs. P. Then,

$[P {(1 + \frac{25}{2 x 100})}^{2} - P]$ = 510

P[ ${(\frac{9}{8})}^{2}$ - 1] = 510.

Sum = Rs. 1920

So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

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Filed Under: Simple Interest
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39 18244

Q:

Sound following a flash of lightning is called

A) Stoning	B) Bolting
C) Thunder	D) Cloud clash

Answer & Explanation Answer: C) Thunder

Explanation:

The Sound Following the flash of lighting is because of Thunder.

Lightning is seen earlier than thunder because light travels much faster than sound.

The roar of thunder is the result of a shock wave produced when lightning super-heats the air through which it passes, causing that air to expand very rapidly. This rapid expansion of air creates a shock wave that travels outward at close to the speed of sound.

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Filed Under: Physics
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29 18180

Q:

Which one of the following scripts of ancient India was written from right to left ?

A) Brahmi	B) Kharoshti
C) Nandnagari	D) Sharada

Answer & Explanation Answer: B) Kharoshti

Explanation:

The Kharoshi script is an ancient script used by the ancient Gandhara culture of South Asia primarily in modern-day Afghanistan and Pakistan to write the Gandhari language (a dialect of Prakrit) and the Sanskrit language.

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Filed Under: Indian History
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32 18161

Q:

How many degrees will the minute hand move, in the same time in which the second hand move 5400 ?

A) 90 degrees	B) 85 degrees
C) 60 degrees	D) 45 degrees

Answer & Explanation Answer: A) 90 degrees

Explanation:

Minute hand covers 5400/60 = 90°

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Filed Under: Clocks
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