Common Admission Test (CAT) Questions and Answers with Explanation

Q:

In how many ways can the letters of the word 'LEADER' be arranged ?

A) 360	B) 420
C) 576	D) 220

Answer & Explanation Answer: A) 360

Explanation:

No. of letters in the word = 6
No. of 'E' repeated = 2
Total No. of arrangement = 6!/2! = 360

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Q:

A train covers 180 km distance in 5 hours. Another train covers the same distance in 1 hour less. What is the difference in the distances covered by these trains in one hour if they are moving in the same direction?

A) 15 kms	B) 9 kms
C) 6 kms	D) 18 kms

Answer & Explanation Answer: B) 9 kms

Explanation:

The first train covers 180 kms in 5 hrs

=> Speed = 180/5 = 36 kmph

Now the second train covers the same distance in 1 hour less than the first train => 4 hrs

=> Speed of the second train = 180/4 = 45 kmph

Now, required difference in distance in 1 hour = 45 - 36 = 9 kms.

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Q:

What is the gram formula mass of ${Li}_{2} {SO}_{4}$ ?

A) 101.2487	B) 109.9446
C) 111.2687	D) 106.5871

Answer & Explanation Answer: B) 109.9446

Explanation:

The term gram formula mass is synonymous with molecular mass. So, to get this, we must add molar mass of all the elements in this compound.

Given compound is Lithium Sulphate - ${Li}_{2} {SO}_{4}$

Elemental calculation ::

Li - Lithium - 6.941 - 2 - 13.88200 %
S - Sulfur - 32.065 - 1 - 32.065 %
O - Oxygen - 15.9994 - 4 - 63.9976 %

Now, total = 12.6264 + 29.1647 + 58.2090 = 109.9446

Hence, the gram formula mass of Li2SO4 = 109.9446.

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Q:

The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is ?

A) 2(6!)	B) 6! x 7
C) 6! x ⁷P₆	D) None

Answer & Explanation Answer: C) 6! x ⁷P₆

Explanation:

We can initially arrange the six boys in 6! ways.
Having done this, now three are seven places and six girls to be arranged. This can be done in ⁷P₆ ways.

Hence required number of ways = 6! x ⁷P₆

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Q:

How Many Prime ministers have conferred with Bharat Ratna upto November 2014 ?

Answer

Six

Workspace

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Q:

Find the wrong number from the following series ?
7 18 40 106 183 282 403

A) 18	B) 183
C) 40	D) 106

Answer & Explanation Answer: C) 40

Explanation:

The given series follows the rule,
+(11x1), +(11x3), +(11x5), +(11x7), +(11x9),....

So starting from 7, 7 + 11 = 18, 18 + 33 = 51, 51 + 55 = 106, ...
So wrong number is 40 which is to be 51.

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Q:

The average marks of a student in 7 subjects is 85. His average marks in 6 subjects except English is 83. What is his marks in English ?

A) 97	B) 98
C) 92	D) 93

Answer & Explanation Answer: A) 97

Explanation:

Marks in English = 85×7 – 83×6

= 595 – 498

= 97

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Q:

Read the following puzzle carefully, answer the question asked below ?

Seven person K, L, M, N, O, P & Q likes seven colours. Yellow, White, Red, Orange, Blue, Gray and Black. They visit in different days starting from Monday to Sunday.

1) K visits one day after Thursday.

2) Only 4 people are in between K and L

3) The one who likes Red colour visits immediately after L.

4) Only one person visit between Red and Blue

5) The one who like white colour visit before one of days on which day M visits

6) The one who like white colour does not visit on Monday.

7) Only 1 person is in between N and O. N like Yellow.

8) There are same as many person in between K and Blue colour which are one less in between L and M.

9) Neither Q nor P likes Black.

10) Q does not visit on Saturday and does not like grey colour.

Question :

Who visits on Sunday and Tuesday and their favourite colors ?

A) P & M	B) N & K
C) K & L	D) P & Q

Answer & Explanation Answer: C) K & L

Explanation:

Monday - N - Yellow

Tuesday - L - White

Wednesday - O - Red

Thursday - Q - Orange

Friday - M - Blue

Saturday - P - Grey

Sunday - K - Black

From the above table,

K & L visits Sunday & Tuesday and their favourite colors are Black and white respectively.

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