Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, is:

A) 20%	B) 25%
C) 33.33%	D) 18%

Answer & Explanation Answer: B) 25%

Explanation:

When the water is freely available and all the water is sold at the price of the milk, then the water gives the profit on the cost of 20 litres of milk.

Since, the profit % = $\frac{P r o f i t}{C o s t P r i c e} x 100$

Therefore, profit percentage = $\frac{5}{20} x 100$ = 25%

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Filed Under: Profit and Loss
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Q:

What approximate value will come in place of question mark (?) in the following question ?

(49.001)² = ?

A) 2500	B) 2400
C) 2600	D) 2300

Answer & Explanation Answer: B) 2400

Explanation:

Given (49.001)² = ?

=> =~ 49 x 49

=~ 2401

=~ 2400

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Filed Under: Mathematical Operations
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32 13613

Q:

When was the Supreme Court of India first inaugurated ?

A) 28th January, 1950	B) 26th November, 1949
C) 30th January, 1949	D) 15th August, 1947

Answer & Explanation Answer: A) 28th January, 1950

Explanation:

The Supreme Court of India was established on 28th January, 1950.

The Supreme Court followed the Federal Court of India which was founded under the Government of India Act, 1935.

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Filed Under: Indian Politics
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27 13611

Q:

Three milkmen rented a pasture. A grazed 24 cows for 4 months; B 10 cows for 6 months; C 56 cows for 5 months. If A's share of rent is Rs. 960, find the total rent of the field?

A) 4530	B) 4440
C) 4360	D) 4280

Answer & Explanation Answer: C) 4360

Explanation:

Ratio of shares of A,B,C = (24 x 4) : (10 x 6) : (56 x 5)

= 96 : 60 : 280.

Let total rent be Rs. x. Then, A's share = $R s . \frac{96 x}{436}$

$∴ \frac{96 x}{436} = 960 \Leftrightarrow x = \frac{960 \times 436}{96} = 4360$

Hence total rent of the field is Rs. 4360.

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Filed Under: Partnership
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11 13606

Q:

In a row of thirty boys, R is fourth from the right end and W is tenth from the left end . How many boys are there between R and W?

A) 15	B) 16
C) 17	D) can't be determined

Answer & Explanation Answer: B) 16

Explanation:

W = 10th from the left

R = 4th from the right = (30 - 4 + 1= ) 27th from left

No of boys between R and W = (27 - 10) - 1 = 16

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Filed Under: Number, Ranking and Time Sequence Test
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28 13585

Q:

Ashtadhyayi was written by

A) Ved vysa	B) Panini
C) Shukadeva	D) Balmiki

Answer & Explanation Answer: B) Panini

Explanation:

Ashtadhyayi was written by Panini. He was a Sanskrit grammarian who gave a comprehensive and scientific theory of phonetics, phonology, and morphology. Panini was born in Shalatula, a town near to Attock on the Indus river in present day Pakistan.

Ashtadhyayi_was_written_by1565176023.jpg image

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Filed Under: Indian History
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13 13560

Q:

Lagaan is levied on the 60% of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Sukhiya over the total taxable land of the village is:

A) 0.15%	B) 15%
C) 0.125%	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

Total land of Sukhiya = 480x/0.6 = 800x

Cultivated land of village = 384000x

Required percentage = $\frac{800 x}{384000} x 100 = 0.20833$

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Filed Under: Percentage
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16 13524

Q:

Play is to actor as concert is to

A) Musician	B) percussion
C) symphony	D) piano

Answer & Explanation Answer: A) Musician

Explanation:

An actor performs in a play. A musician performs at a concert.

Choices b, c, and d are incorrect because none is people who perform.

Hence, Play is to actor as concert is to Musician.

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Filed Under: Analogy
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