Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ?

A) 7500	B) 6200
C) 5600	D) 4700

Answer & Explanation Answer: A) 7500

Explanation:

Let the candidates be A & B
35%-----------A
65%-----------B

Difference of votes (65-35)% = 30%

=> 30% ------- 2250
Then for 100% -------- ? => 7500

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Filed Under: Percentage
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26 21200

Q:

1 Joule is Equal to

A) 10^3 ergs	B) 10^6 ergs
C) 10^7 ergs	D) 10^5 ergs

Answer & Explanation Answer: C) 10^7 ergs

Explanation:

1 Joule = $10^{7 e r g s}$ = 0.000239 Kilo Calories.

Joule is the Unit of Energy.

Joule is equal to Energy transferred to an object when a force of One Newton acts on that object in the direction of its motion through a distance of one metre.(1 N-m)

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Filed Under: Physics
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52 21199

Q:

Where is located the most active volcano in the world?

A) Around the Atlantic Ocean	B) Around the Pacific Ocean
C) Around the Indian Ocean	D) Around the Arctic Ocean

Answer & Explanation Answer: B) Around the Pacific Ocean

Explanation:

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Filed Under: World Geography
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1 21173

Q:

Square is to Triangle and Cube is to

A) Pyramid	B) Rectangle
C) Ice	D) Rhombus

Answer & Explanation Answer: A) Pyramid

Explanation:

Square is 2-dimensional 4 sided figure Whereas Cube is 3-dimensional figure which looks like Square.

Similarly, Triangle is 2-dimensional 3 sided figure Whereas Pyramid is 3-dimensional figure which looks like Triangle.

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Filed Under: Analogy
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14 21154

Q:

A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ?

A) Rs.37,500	B) Rs.36,400
C) Rs.37,415	D) Rs.36,500

Answer & Explanation Answer: A) Rs.37,500

Explanation:

Assume A be the cost price.

Therefore,
$(\frac{3}{5} \times A \times \frac{10}{100}) - (\frac{2}{5} \times A \times \frac{5}{100}) = 1500$

=> A = Rs 37,500.

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Filed Under: Profit and Loss
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30 21137

Q:

A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs.100 at the end of one year. In order clear his dues at the end of 2 years, he would pay :

A) Rs. 100	B) Rs. 105
C) Rs. 115	D) Rs. 110

Answer & Explanation Answer: C) Rs. 115

Explanation:

Amount to be paid = $R s . [100 + \frac{200 \times 5 \times 1}{100} + \frac{100 \times 5 \times 1}{100}]$ = Rs. 115.

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Filed Under: Simple Interest
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35 21111

Q:

It takes five minutes to pass a rumour from one person to two other persons. The tree of rumour continues. Find how many minutes does it take spread the rumour to 729 persons ?

A) 45 min	B) 25 min
C) 30 min	D) 36 min

Answer & Explanation Answer: C) 30 min

Explanation:

After 5 mins ..... 3 persons will get rumour
After 10 mins .... 3x2 + 3 = 9 = $3^{2}$ persons will get
after 15 =5x3 min ......9x2 + 9 =27 = $3^{3}$ persons will get news.
.
.
after 5x6 mins ... $3^{6}$ = 729 persons will get news.

Therefore, time taken to spread the rumour to 729 persons is 30 minutes.

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Filed Under: Arithmetical Reasoning
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23 21078

Q:

P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is ?

A) 56 days	B) 54 days
C) 60 days	D) 64 days

Answer & Explanation Answer: D) 64 days

Explanation:

(P+Q)'s 1 day work = 1/24

P's 1 day work = 1/32

=> Q's 1 day work = 1/24 - 1/32 = 1/96

Work done by (P+Q) in 8 days = 8/24 = 1/3

Remainining work = 1 - 1/3 = 2/3

Time taken by Q to complete the remaining work = 2/3 x 96 = 64 days.

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Filed Under: Time and Work
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