CAT Questions

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 58 ways to distribute the toys.

 

Hence, it is 58 and not 85.

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Filed Under: Permutations and Combinations
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16 18115
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 18092
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 18085
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,

 

P1+252x1002-P= 510

 

P[982- 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 18064
Q:

Magnetic disks are the most popular medium for

A) Sequential access B) Direct access
C) Both A & B D) None of the above
 
Answer & Explanation Answer: C) Both A & B

Explanation:

A magnetic disk is a storage device that uses a magnetization process to write, rewrite and access data. It is covered with a magnetic coating and stores data in the form of tracks, spots, and sectors. Hard disks, zip disks, and floppy disks are common examples of magnetic disks.

Magnetic_disks_are_the_most_popular_medium_for11558071061.png image        Magnetic_disks_are_the_most_popular_medium_for1558071122.png image

 

 

Hence, Magnetic disks are the most popular medium for both Direct access and Sequential access.

 

 

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23 18000
Q:

Air pressure is usually highest when the air is 

A) warm and moist B) cool and dry
C) warm and dry D) cool and moist
 
Answer & Explanation Answer: D) cool and moist

Explanation:

Both warmth and moisture reduce the density of air and hence its pressure is high.

                                  Air_pressure_is_usually_highest_when_the_air_is1558073685.png image

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Filed Under: Physics
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90 17983
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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37 17980
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 17969