Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?

A) 42	B) 72
C) 110	D) 152

Answer & Explanation Answer: D) 152

Explanation:

$42 = 7^{2} - 7$

$9^{2} - 9$ = 72

$11^{2} - 11$ = 110

$12^{2} + 8$ = 152

Except 152, others show the same trend.

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Q:

Telengana creation as in independent state is primarily the outcome of _____ ?

A) 16th Lok Sabha	B) 15th Lok Sabha
C) 14th Lok Sabha	D) 13 Lok Sabha

Answer & Explanation Answer: B) 15th Lok Sabha

Explanation:

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13 5798

Q:

A and B can do a piece of work for Rs 1540. Find the difference between the wages of C and B for the same work If A can do the work in 12 days and B can do the same work in 8 days and with the help of C, A and B can do the same work in 2 days?

A) 980	B) 1232
C) 810	D) 1121

Answer & Explanation Answer: B) 1232

Explanation:

From the given data,

Day Capacity

A -> 12 2

B -> 8 3 2

A + B + C -> 2 12

=> Capacity of C = 12 - 5 = 7

Ratio of capacity of A : B : C = 2 : 3 : 7

Difference of wages of C & B = 4/5 x 1540

= 4 x 308 = Rs. 1232

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13 5794

Q:

Which combination will produce a precipitate?

A) NaOH (aq) and HCl (aq)	B) KOH (aq) and Mg(NO3)2 (aq)
C) NaC2H3O2(aq) and HCl (aq)	D) AgNO3(aq) and Ca(C2H2O3) (aq)

Answer & Explanation Answer: B) KOH (aq) and Mg(NO3)2 (aq)

Explanation:

In chemistry, a precipitate is an insoluble solid that emerges from a liquid solution. The emergence of the insoluble solid from solution is called precipitation.

Which_combination_will_produce_a_precipitate1558607544.jpg image

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Q:

In how many ways the letters of the word NUMERICAL can be arranged so that the consonants always occupy the even places ?

A) 5!	B) 6!
C) 4!	D) Can't determine

Answer & Explanation Answer: D) Can't determine

Explanation:

NUMERICAL has 9 positions in which 2, 4, 6, 8 are even positions.

And it contains 5 consonents i.e, N, M, R, C & L. Hence this cannot be done as 5 letters cannot be placed in 4 positions.

Therefore, Can't be determined.

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Filed Under: Permutations and Combinations
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6 5790

Q:

A bill presented in Parliament becomes an Act after -

A) The Prime Minister has signed it	B) The Supreme Court has declared it to be within the competence of the Union Parliament
C) The President has given her/his assent	D) It is passed by both the Houses

Answer & Explanation Answer: C) The President has given her/his assent

Explanation:

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Q:

Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ?

A) 43929	B) 59049
C) 15120	D) 0

Answer & Explanation Answer: A) 43929

Explanation:

Number of words with 5 letters from given 9 alphabets formed = $9^{5}$

Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is = $9 P_{5}$

Number of words can be formed which have at least one letter repeated = $9^{5} - 9 P_{5}$

= 59049 - 15120

= 43929

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Q:

What was the symbol of death of gautama buddha?

A) Stupa	B) Bodhi tree
C) Lion	D) Chaitya

Answer & Explanation Answer: A) Stupa

Explanation:

Stupa represents the symbol of death of Gautama Buddha. On the other hand, Bodhi Tree is the symbol of nirvana of Gautama Buddha.

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