CAT Questions

Q:

Virus doubles every 3 mins. It is 'K' in 1 hour, when was it K/4 ?

A) 29 min B) 25 min
C) 54 min D) 57 min
 
Answer & Explanation Answer: C) 54 min

Explanation:

If virus is K in 1hr i.e 60 min
then in 57 min it was K/2 as it doubles every 3 minutes
=> In 54 min it was K/4.
At 54 minutes it was K/4.

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Filed Under: Arithmetical Reasoning
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Q:

Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ?

A) 8/15 B) 7/15
C) 1/15 D) 4/15
 
Answer & Explanation Answer: B) 7/15

Explanation:

Given total students in the class = 60
Students who are taking Economics = 24 and
Students who are taking Calculus = 32
Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4
Students who are taking calculus only = 32 - 4 = 28
probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

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Filed Under: Probability
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12 5337
Q:

 83% of 2350 = ?

A) 1889.95 B) 1912.35
C) 1875.25 D) 1950.50
 
Answer & Explanation Answer: D) 1950.50

Explanation:
83% of 2350 = ?
 
83/100 x 2350
 
=8.3 x 235
 
=1950.50
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Filed Under: Percentage
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12 5336
Q:

'Minamata' disease was caused by ?

A) Lead B) Mercury
C) Cadmium D) Zinc
 
Answer & Explanation Answer: B) Mercury

Explanation:
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Filed Under: Chemistry
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11 5332
Q:

1422 ÷ 1260.25 = ?

A) 586 B) 578
C) 568 D) 566
 
Answer & Explanation Answer: C) 568

Explanation:

142 x 142 x 11260.25

 

=> 142 x 142 x 135.5  = 568

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Filed Under: Simplification
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4 5329
Q:

60 percent of 2/7 of three-fourth of a number is 2664. What is the number ?

A) 20720 B) 21352
C) 25421 D) 24150
 
Answer & Explanation Answer: A) 20720

Explanation:

Let N be the required number. 

=> 60100x27x34xN=2664  

=> N = 2664x2x7x5/9  

=> N = 20720.

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Filed Under: Percentage
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10 5326
Q:

Guwahati High Court is the Judicature of

A) Arunachal Pradesh B) Nagaland
C) Assam D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:
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Filed Under: Indian History
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11 5326
Q:

A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ?

A) Rs. 316 B) Rs. 251
C) Rs. 154 D) Rs. 294
 
Answer & Explanation Answer: A) Rs. 316

Explanation:

S.I. for 2 years = (514 - 415) = Rs. 99
S.I. for 1 year = 99/2

Principal = (415 - 99) = Rs. 316.

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Filed Under: Simple Interest
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2 5325