Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Find the next number in the given number series?

8, 11, 19, 23, 32, ?

A) 37	B) 39
C) 47	D) 49

Answer & Explanation Answer: A) 37

Explanation:

The given number series is 8, 11, 19, 23, 32, ?

It follows a pattern that

8 + 11 = 19

11 + 12 = 23

19 + 13 = 32

23 + 14 = 37

32 + 15 = 47

....

Hence, the next number in the given series = 37.

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13 28566

Q:

The word Gotra occurs for the first time in

A) Rigveda	B) Samaveda
C) Yajurveda	D) Atharvaveda

Answer & Explanation Answer: A) Rigveda

Explanation:

The word Gotra occurs for the first time in Rigveda. In Hindu society, the term gotra is commonly considered to be equivalent to a clan. It broadly refers to people who are descendants in an unbroken male line from a common male ancestor or patriline.

Generally, the gotra forms an exogamous unit, with the marriage within the same gotra being prohibited by custom, being regarded as incest.

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Filed Under: Indian History
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71 28562

Q:

Arrange the given words in the sequence in which they occur in the dictionary.

i. Permanence
ii. Permanent
iii. Permafrost
iv. Permeability

A) ii, iii, iv, i	B) iii, ii, i, iv
C) iv, ii, i, iii	D) iii, i, ii, iv

Answer & Explanation Answer: D) iii, i, ii, iv

Explanation:

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Q:

If today is Saturday, what will be the day 350 days from now ?

A) Saturday	B) Friday
C) Sunday	D) Monday

Answer & Explanation Answer: A) Saturday

Explanation:

350 days = (350/7=50 weeks) i.e No odd days,

So it will be a Saturday.

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Filed Under: Calendar
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93 28334

Q:

Artists are generally whimsical. Some of them are frustrated. Frustrated people are prone to be drug addicts.

Based on these statements which of the following conclusions is true?

A) All frustrated people are drug addicts	B) Frustrated people are whimsical
C) All drug addicts are artists	D) Some artists may be drug addicts

Answer & Explanation Answer: D) Some artists may be drug addicts

Explanation:

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42 28202

Q:

Select the related word from the given alternatives.

Yellow : Lemon :: Purple : ?

A) Apple	B) Brinjal
C) Mango	D) Onion

Answer & Explanation Answer: B) Brinjal

Explanation:

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Filed Under: Analogy
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Q:

The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is :

A) Rs. 560	B) Rs. 530
C) Rs. 500	D) Rs. 514

Answer & Explanation Answer: C) Rs. 500

Explanation:

110% of S.P. = Rs. 616

S.P. = (616 x 100)/110 = Rs. 560

C.P = (110 x 560)/112 = Rs. 500

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Q:

If the mean of a, b, c is M and ab + bc + ca = 0, then the mean of $\frac{a^{2} + b^{2} + c^{2}}{3}$ is :

A) M	B) 3 M^2
C) 2 (M/3)	D) M^2

Answer & Explanation Answer: B) 3 M^2

Explanation:

We have : ( a + b + c) / 3 = M or (a + b + c) = 3M.

Now. ${(a + b + c)}^{2} = {(3 M)}^{2} = 9 M^{2}$ .

$< = > a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a) = 9 M^{2}$

$a^{2} + b^{2} + c^{2} = 9 M^{2}, (a b + b c + c a = 0)$

Required mean = $(\frac{a^{2} + b^{2} + c^{2}}{3}) = \frac{9 M^{2}}{3} = 3 M^{2}$ .

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