CAT Questions

Q:

The oldest dynasty still ruling in which country   ?

A) India B) Iran
C) Japan D) England
 
Answer & Explanation Answer: C) Japan

Explanation:

The longest-surviving dynasty in the world is the Imperial House of Japan.

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Filed Under: World History
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21 8581
Q:

14 persons are seated around a circular table. Find the probability that 3 particular persons always seated together.

A) 11/379 B) 21/628
C) 24/625 D) 26/247
 
Answer & Explanation Answer: C) 24/625

Explanation:

Total no of ways = (14 – 1)! = 13!

Number of favorable ways = (12 – 1)! = 11!

 

So, required probability = 11!×3!13! = 39916800×66227020800 = 24625

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Filed Under: Probability
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22 8579
Q:

Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern ?

A) 85 min B) 95 min
C) 105 min D) 100 min
 
Answer & Explanation Answer: D) 100 min

Explanation:

Work done by the third pipe in 1 min = 1/50 - (1/60 + 1/75) = - 1/100.
[-ve sign means emptying]

The third pipe alone can empty the cistern in 100 min.

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Filed Under: Pipes and Cistern
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7 8570
Q:

P, Q, R, S, T and U are six consecutive odd numbers and their average is 52. What is the product of P and U ?

A) 2212 B) 2154
C) 2349 D) 2679
 
Answer & Explanation Answer: D) 2679

Explanation:

Let x, x+2, x+4, x+6, x+8 and x+10 are six consecutive odd numbers.

Given that their average is 52

Then, x + x+2 + x+4 + x+6 + x+8 + x+10 = 52×6

6x + 30 = 312

x = 47

So Product = 47 × 57 = 2679

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Filed Under: Average
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22 8569
Q:

One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college?

A) 500 B) 300
C) 600 D) 700
 
Answer & Explanation Answer: D) 700

Explanation:

Let number of boys in the school = x

Let number of girls in the school = y

Number of students participated in the sports = 300

Out of which boys = 100

but given number of boys participated in sports = x/3

=> x/3 = 100

=> x = 300

Remaining girls = 300 - 100 = 200

=> y/2 = 200

=> y = 400

Therefore, total number of students in the school = x + y = 300 + 400 = 700

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Filed Under: Percentage
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15 8569
Q:

A retailer cheats his wholesaler and customer both. He purchases 19% more from the wholesaler and sells 15% less while selling to its customer. What is profit percentage by selling the goods at cost price?

A) 35% B) 40%
C) 42% D) 46%
 
Answer & Explanation Answer: B) 40%

Explanation:

Tota profit percentage = (119 x 100/85) - 100 = 3400/85 = 40% 

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Filed Under: Profit and Loss
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35 8567
Q:

Select a suitable figure from the four alternatives that would complete the figure matrix.

     1366338589-11484717605.jpg image

 1366338589-121484717623.jpg image

    (1)   (2)   (3)   (4)

A) 1 B) 4
C) 3 D) 2
 
Answer & Explanation Answer: D) 2

Explanation:

One line is increasing in each subsequent figue.

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Filed Under: Figure Matrix
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16 8564
Q:

The cultivation of crops in regions with an annual rainfall of 750mm is called as ____.

A) Wet Farming B) Intensive Farming
C) Rain Fed Farming D) Dry Land Farming
 
Answer & Explanation Answer: D) Dry Land Farming

Explanation:
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Filed Under: Indian Culture
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100 8564