Common Admission Test (CAT) Questions and Answers with Explanation

Q:

In a class, seven students are standing in a row. Q is standing left to R but right to P. O is standing right to N and left to P. Similarly, S is standing right to R and left to T. Find out who is standing in the middle ?

A) Q	B) R
C) P	D) S

Answer & Explanation Answer: A) Q

Explanation:

As from the given conditions;
Order is
N O P Q R S T
Here the student standing in the middle is 'Q'.

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Q:

5 L from A are V?

Answer

5 L from A are V --- 5 Letters from Alphabets are Vowels.

Workspace

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Q:

A restaurant offers a new promotion of 20% off the original price of cakes, which is Rs. 12. Before the promotion 250 cakes were sold each day. After the promotion, the sale of cakes increases an average of 18% more per day. How much more or less does the restaurant make each day in cakes sales after the promotion?

A) Rs. 185 less	B) Rs. 202 more
C) Rs. 175 more	D) Rs. 168 less

Answer & Explanation Answer: D) Rs. 168 less

Explanation:

Cost of each cake P1 & P2 = Rs. 12

Offer decrease in % = 20%

Increase in sale per day (Q2) = 250 - 18%

Total quantity per day (Q1) = 250

Hence, required change total revenue

TR = P2Q2 - P1Q1 = (12 x 0.8 x 250 x 1.18) - (12 x 250) = - Rs.168.

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Q:

What is the length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high ?

A) 13 m	B) 14 m
C) 15 m	D) 16 m

Answer & Explanation Answer: A) 13 m

Explanation:

The length of the longest pole which can be kept in a room 12 m long, 4 m broad and 3 m high is

=> $d^{2} = 12^{2} + 4^{2} + 3^{2} = 13$ mts.

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Filed Under: Area
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Q:

Which of the following has the highest entropy?

A) Hydrogen	B) Diamond
C) Liquid nitrogen	D) Mercury

Answer & Explanation Answer: A) Hydrogen

Explanation:

Entropy is a measure of disorder . It will be maximum in gases followed by liquids and least in solids.

Hence, here the gas is only hydrogen and it has the highest entropy.

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Q:

A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream?

A) 1 kmph	B) 3 kmph
C) 5 kmph	D) 4 kmph

Answer & Explanation Answer: B) 3 kmph

Explanation:

Let the speed of the stream = x kmph

From the given data,

$\frac{12}{9 + x} + \frac{12}{9 - x} = 3 h r s$

$3 x^{2} = 27$

=> x = 3 kmph

Therefore, the speed of the stream = 3 kmph

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Q:

Peace, discipline, freedom and equality are all examples of

peace_discipline_freedom_and_equality_are_all_examples_of1538653767.jpg image

A) Democratic values	B) Resolutions
C) Myths	D) Settings

Answer & Explanation Answer: A) Democratic values

Explanation:

Peace, discipline, freedom and equality are all examples of human values or democratic values which all the people want to be in them for society.

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Q:

H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is $2^{4} x 3^{5} x 5^{2} x 7^{2 . What is the third number?}$

A) 47628	B) 49874
C) 24157	D) 42146

Answer & Explanation Answer: A) 47628

Explanation:

hcf_of_three_numbers_3240,_3600_and_third_number_is_361542439249.jpg image

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Filed Under: HCF and LCM
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