CAT Questions

Q:

In a class 60% of the students pass in English and 45% pass in Hindi. If 25% of them pass in both subjects, what percentage of the students fail in both the subjects?

A) 20% B) 25%
C) 30% D) 15%
 
Answer & Explanation Answer: A) 20%

Explanation:

Percentage of students passed in English = 60%

Percentage of students passed in Hindi = 45%

Percentage of students passed in both subjects = 25%

ATQ,

Percentage of students passed in only English = 60 - 25 = 35%

Percentage of students passed in only Hindi = 45 - 25 = 20%

Therefore, Percentage of students failed = 100 - (35 + 25 + 20)

= 100 - 80 = 20%.

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Filed Under: Percentage
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6 5998
Q:

A girl want to read a complete book. She read 2/5 part of a book on 1st day, 34% on second day and remaining pages in next two days. On those two days she read equal number of pages. If she read 52 pages on last day, then find out total number of pages that the book contain ?

A) 400 B) 525
C) 325 D) 475
 
Answer & Explanation Answer: A) 400

Explanation:

Let the total number of pages in the book be 'x'.

From given data,

2x/5 + 34x/100 + 52 + 52 = x

 => 40x + 34x + 10400 = 100x

 => 26x = 10400

 => x = 400.

 Hence, total pages in the book are 400.

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Filed Under: Percentage
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7 5996
Q:

Mr. X sold two properties P1 and P2 for Rs 1,00,000 each. He sold property P1 for 20% less than what he paid for it. What is the percentage of profit of property P2, so that he is not in gain or loss on the sale of two properties?

A) 33.33% B) 29.97%
C) 25% D) 22.22%
 
Answer & Explanation Answer: A) 33.33%

Explanation:

Let 'A' be the cost price of property P1.

Then from the given data, the selling price of P1 = Rs. 1,00,000

He got 20% loss on selling P1

A - 20A100 = 100000A = 1,25,000

Therefore, the amount he lossed on selling P1 = 25,000

As ge he got no loss or gain on sale of P1 and P2, the gain on selling P2 = 25,000

But the selling price of P2 = 1,00,000 => Cost price of P2 = 75,000

 

Hence, the profit percentage on P2 = GainCPx 100 = 2500075000x100 = 1003= 33.33%

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Filed Under: Profit and Loss
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10 5994
Q:

"Kalinga Prize" associated with which of the following fields  ?

A) Sports B) Journalism
C) Science D) Literature
 
Answer & Explanation Answer: C) Science

Explanation:
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Filed Under: Honours and Awards
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14 5992
Q:

At the university entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 30 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about ?

A) 11/24 B) 1/5
C) 16/25 D) 6/5
 
Answer & Explanation Answer: C) 16/25

Explanation:

If there are total 100 candidates,
40 candidates are really capable and
60 candidates are incapable.
Of the candidates who are really capable = 80%
40*(80/100)=32 pass the test and
of the incapable= 30%
60*(30/100)=18 pass the test.
Total candidates who passed the test = 32+18 = 50
The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.

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Filed Under: Ratios and Proportions
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5 5986
Q:

Give a possible molecular formula for C3H5ClO?

A) C6H10Cl2O2 B) C6H10O2
C) C6H10ClO2 D) C6H12Cl2O2
 
Answer & Explanation Answer: A) C6H10Cl2O2

Explanation:
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Filed Under: Chemistry
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0 5984
Q:

What lives in the winter dies in the summer?

A) Plants B) Animals
C) Icycle D) None of the above
 
Answer & Explanation Answer: C) Icycle

Explanation:

An icycle, a hanging spike of ice formed by the freezing of dripping water forms due to cool in winter and dies in summer due to hot.

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4 5978
Q:

Find the one which does not belong to that group ?

A) Architect B) Blacksmith
C) Sculpture D) Tailor
 
Answer & Explanation Answer: A) Architect

Explanation:

All except Architect are manufactures.

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Filed Under: Analogy
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5 5978