CAT Questions

Q:

The average age of a couple is 24 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child ?

A) 2 yrs B) 4 yrs
C) 3 yrs D) 5 yrs
 
Answer & Explanation Answer: A) 2 yrs

Explanation:

29 x 2 = 58
20 x 3 = 60
         -----------
               2 years

Therefore, the age of child is 2 years.

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Filed Under: Problems on Ages
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18 11421
Q:

A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ?

A) Rs. 185 B) Rs. 154
C) Rs. 200 D) Rs. 177
 
Answer & Explanation Answer: C) Rs. 200

Explanation:

Let the C.P be 'x'
Then, the selling price S.P = x - 16x/100
= 84x/100 = 21x/25
Now, if the S.P is 60 more, then the profit is 14%
=> 21x/25 + 60 = x + 14x/100
=> 114x/100 - 21x/25 = 60
=> (57 - 42)x/50 = 60
=> 15x/50 = 60
x = 3000/15 = 200

Therefore, the Cost price C.P = x = Rs. 200

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Filed Under: Profit and Loss
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9 11411
Q:

Crack the missing number in the given puzzle?

missing_number_puzzle11538565817.jpg image

A) 3 B) 2
C) 1 D) 0
 
Answer & Explanation Answer: B) 2

Explanation:

Here in the given number puzzle, the logic is

column 2 x column 3 = column 1

3 x 3 = 9

2 x 3 = 6

 

Similarly,

4 x ? = 8

=> ? = 8/4 = 2.

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22 11403
Q:

At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ?

A) 5% B) 6%
C) 4% D) 3%
 
Answer & Explanation Answer: A) 5%

Explanation:

Given compound interest for 3 years = Rs. 1513.2

 

and simple interest for 5 years = Rs. 2400

 

Now, we know that  C.I = P1+R100n - 1

 

=> 1513.2 = P1+R1003 - 1 ...........(A)

 

And S.I = PTR/100

 

=> 2400 = P5R/100 ..................(B)

 

By solving (A) & (B), we get

 

R = 5%.

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Filed Under: Compound Interest
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18 11399
Q:

Find the odd man out from the given alternatives ?

A) 97 B) 233
C) 437 D) 599
 
Answer & Explanation Answer: C) 437

Explanation:

Except 437 all others are prime numbers.

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Filed Under: Odd Man Out
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33 11396
Q:

Ryder Cup is associated with which game?

A) Golf B) Tennis
C) Hockey D) Cricket
 
Answer & Explanation Answer: A) Golf

Explanation:

Ryder Cup is associated with GOLF game.

The Ryder Cup is a biennial men's golf competition between teams from Europe and the United States.

The competition is contested every two years with the venue alternating between courses in the United States and Europe.

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Filed Under: Sports
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10 11387
Q:

Portrait and Landscape are

A) Page notations B) Page orientations
C) Page layout D) Page size
 
Answer & Explanation Answer: B) Page orientations

Explanation:

Portrait and Landscape are modes of page orientations. In landscape mode page is wider than tall and in portrait mode it is inverse of landscape mode.

 

portrait_and_landscape_are1559817359.png image

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Filed Under: Computer
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27 11360
Q:

50 men can build a tank in 40days, but though they begin the work together, 5 men quit every ten days. The time needed to build the tank is ?

A) 50 days B) 48 days
C) 47.5 days D) 49 days
 
Answer & Explanation Answer: A) 50 days

Explanation:

50 men can build a tank in 40 days 

Assume 1 man does 1 unit of work in 1 day

Then the total work is 50×40 = 2000 units

 

50 men work in the first 10 days and completes 50×10 = 500 units of work

45 men work in the next 10 days and completes 45×10 = 450 units of work

40 men work in the next 10 days and completes 40×10 = 400 units of work

35 men work in the next 10 days and completes 35×10 = 350 units of work

So far 500 + 450 + 400 + 350 = 1700 units of work is completed and

 

Remaining work is 2000 - 1700 = 300 units

 

30 men work in the next 10 days. In each day, they does 30 units of work.

 

Therefore, additional days required = 300/30 =10

 

Thus, total 10+10+10+10+10 = 50 days required.

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Filed Under: Time and Work
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13 11348