Common Admission Test (CAT) Questions and Answers with Explanation

Q:

$\sqrt[3]{9261} x \sqrt{62742241} = ? + 89$

Find the value of '?'

A) 166251	B) 166259
C) 166252	D) 166253

Answer & Explanation Answer: C) 166252

Explanation:

Given $\sqrt[3]{9261} x \sqrt{62742241} = ? + 89$

Using unit digit method,

On LHS,

1 x 1 x 1 = 1

sqrt of last digit 1 => it must end with either 9 or 1

so now

1 x 1 = 1

1 x 9 = 9

On RHS,

? + 89

=> ? = ...1 - 89 = last digit is 11- 9 = 2

or

=> ? = ...9 - 89 = last digit is 9 - 9 = 0

Here in the options last digit 2 is option C.

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22 77545

Q:

Choose a similar word ?

Kolkata, Mumbai, Mangalore

A) Hyderabad	B) Delhi
C) Cochin	D) Jaipur

Answer & Explanation Answer: C) Cochin

Explanation:

All cities belong to port cities of India.

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34 77154

Q:

At what rate percent per annum will a sum of money double in 8 years.

A) 12.5%	B) 13.5%
C) 11.5%	D) 14.5%

Answer & Explanation Answer: A) 12.5%

Explanation:

Let principal = P, Then, S.I.= P and Time = 8 years

We know that S.I. = PTR/100

Rate = [(100 x P)/ (P x 8)]% = 12.5% per annum.

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463 76684

Q:

Find the odd number out of the following number series?

2 4 8 11.5 18.25 28.375

A) 18.25	B) 28.375
C) 11.5	D) 8

Answer & Explanation Answer: D) 8

Explanation:

Given number series follows a pattern that,

2

2 x 1.5 + 1 = 4

4 x 1.5 + 1 = 7 (not equal to 8)

7 x 1.5 + 1 = 11.5

11.5 x 1.5 + 1 = 18.25

18.25 x 1.5 + 1 = 28.375

Hence, the odd number in the given number series is 8.

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17 76340

Q:

Find the odd number in the following number series?

24, 4, 13, 41, 151, 640

A) 4	B) 640
C) 41	D) 13

Answer & Explanation Answer: C) 41

Explanation:

The given number series follows the pattern that,

24×0 + 4 = 4

4×1 + 9 = 13

13×2 + 16 = 42

42×3 + 25 = 151

151×4 + 36 = 640

Therefore, the odd number in the given series is 41

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28 76269

Q:

Find the next number in te given series ?

5, 25, 61, 113, ...

A) 142	B) 181
C) 156	D) 179

Answer & Explanation Answer: B) 181

Explanation:

Here the series follow the rule that

$1^{2} + 2^{2} = 5$

$3^{2} + 4^{2} = 25$

$5^{2} + 6^{2} = 61$

$7^{2} + 8^{2} = 113$

SO NEXT IS, $9^{2} + 10^{2} = 181$

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13 76017

Q:

What is the Iupac name for the compound shown below.

clbr1527920257.png image

A) 1-Bromo-3-chlorocyclohexene	B) 2-Bromo-6-chlorocyclohex-1-ene
C) 6-Bromo-2-chlorocyclohexene	D) 3-Bromo-1-chlorocyclohex-1-ene

Answer & Explanation Answer: D) 3-Bromo-1-chlorocyclohex-1-ene

Explanation:

In chemical nomenclature, the IUPAC nomenclature of organic chemistry is a systematic method of naming organic chemical compounds as recommended by the International Union of Pure and Applied Chemistry (IUPAC).

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43 75820

Q:

Re-arrange the following sentences into a meaningful paragraph.

(A) comes into effect from today. The bank's savings account rate was 3.5 per cent during March 2003 to May 2011 for all savings bank account customers

(B) The bank's decision comes two days ahead of RBI's monetary policy meet and is likely to trigger

(C) with deposits of above Rs 1 crore, it said in a statement. The two-tier savings bank account interest rate

(D) to 3.5 per cent, lowest in six years, a decision that will impact 90 per cent of its customers

(E) The country's largest lender however will continue to pay 4 per cent interest on savings bank accounts

(F) SBI today cut interest rate on savings bank account deposits up to Rs 1 crore by 0.5 per cent

(G) rate war among peers. SBI's savings bank account base is of around Rs 9 lakh crore.

A) BDFACEG	B) BFDCAGE
C) EGACDFB	D) FDBGECA

Answer & Explanation Answer: D) FDBGECA

Explanation:

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