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CAT Questions

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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 18366
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
Job Role: Bank Clerk , Bank PO

72 18326
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
Exam Prep: AIEEE , Bank Exams , CAT
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69 18277
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 18264
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 18252
Q:

Amar can do a piece of work in 10 days. He works at it for 4 days and then Arun finishes it in 9 days. In how many days can Amar and Arun together finish the work ?

A) 4 days B) 8 days
C) 3 days D) 6 days
 
Answer & Explanation Answer: D) 6 days

Explanation:

4/10 + 9/x = 1     => x = 15 

 

Then both can do in 

1/10 + 1/15 = 1/6     => 6 days

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Filed Under: Time and Work
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19 18235
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 18182
Q:

How is Radha's mother's mother's daughter-in-law's daughter related to Radha?

A) Sister-in-law B) Sister
C) Neice D) Aunt
 
Answer & Explanation Answer: A) Sister-in-law

Explanation:

Radha ----> Radha's mother ------> Mother's mother => Radha's Grand-mother.

 

Radha's Grand-mother's daughter-in-law ------> Radha's Aunt -----> Radha's Aunt's daughter => Radha's sister-in-law.

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Filed Under: Blood Relations
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53 18170