Common Admission Test (CAT) Questions and Answers with Explanation

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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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 = $(\frac{(11! \times 3!)}{13!})$ = $\frac{39916800 \times 6}{6227020800}$ = $\frac{24}{625}$

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Filed Under: Probability
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Q:

The man who is specialist in wine making is called as ?

A) Wenologist	B) Grapologist
C) Oenologist	D) None

Answer & Explanation Answer: C) Oenologist

Explanation:

Oenology is the science and study of wine and winemaking. So person who is specialist in that is called as Oenologist.

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33 8830

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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Q:

What is scientific name of " Tulsi " ?

A) Gossypium Herbaceum	B) Ocimum Sanctum
C) Zea Mays	D) Cojonus Cgjan

Answer & Explanation Answer: B) Ocimum Sanctum

Explanation:

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Filed Under: General Science
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43 8826

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 8826

Q:

How many A's are there in the following sequence which are immediately followed by B as well as immediately preceded by Z?

A M B Z A N A A B Z A B A Z B A P Z A B A Z A B

A) Three	B) Two
C) One	D) More than three

Answer & Explanation Answer: A) Three

Explanation:

The letter A satisfying the following Structure ZAB

A M B Z A N A A B Z A B A Z B A P Z A B A Z A B

Answer (A) is correct

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Filed Under: Alphabet Test
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Q:

In a mens hostel, there were 95 students. To accommodate 30 more students the average is decreased by rupees 5. But total expenditure increased by Rs.500. Find the total expenditure of the hostel now ?

A) Rs. 4680	B) Rs. 4420
C) Rs. 4960	D) Rs. 5480

Answer & Explanation Answer: A) Rs. 4680

Explanation:

Let the expenditure on the 95 students be 'x'

Then,

95x + 500 = 120(x – 5)
95x + 500 = 120x - 600
120x - 95x = 1100
25x = 1100
=> x = 44

Therefore, total expenditure of the hostel becomes
95 x 44 + 500 = 4680.

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