Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A person lends Rs. 1540 for five years and Rs. 1800 for four years. If he gets Rs. 1788 as interest on both amounts, what is the rate of interest ?

A) 14.5%	B) 11%
C) 12%	D) 10.5%

Answer & Explanation Answer: C) 12%

Explanation:

Let the interest rate be r%

We know that,

S.I = PTR/100

=> (1540 x 5 x r)/100 + (1800 x 4 x r)/100 = 1788

=> r = 178800/14900 = 12%

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Filed Under: Simple Interest
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20 7515

Q:

A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ?

A) 487	B) 585
C) 635	D) 705

Answer & Explanation Answer: B) 585

Explanation:

The smallest possible number of books = L.C.M of 5, 9 and 13.
Therefore, L.C.M of 5,9 and 13 is = 5 x 9 x 13 = 585.

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Filed Under: HCF and LCM
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5 7512

Q:

Who is known as Punjab Kesari?

A) Bhagat Singh	B) Dada Saheb Phalke
C) Lala Lajpat Rai	D) Bal Gangadhar Tilak

Answer & Explanation Answer: C) Lala Lajpat Rai

Explanation:

Lala Lajpat Rai is known as Punjab Kesari.

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Filed Under: General Awareness
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8 7510

Q:

A person who insists on something - one word substitute

A) Stickler	B) Boaster
C) Disciplinarian	D) Instantaneous

Answer & Explanation Answer: A) Stickler

Explanation:

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Filed Under: English
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6 7505

Q:

The average age of a couple and their son was 40 years, the son got married and a child was born just two years after their marriage. When child turned to 10 years, then the average age of the family becomes 38 years. What was the age of the daughter in law at the time of marriage ?

A) 12 years	B) 10 years
C) 14 years	D) 13 years

Answer & Explanation Answer: A) 12 years

Explanation:

Given the average age of couple and their son = 40

=> Sum of age (H +W +S) = 40×3

Let the age of daughter in law at the time of marriage = D years

Now after 10 years,

(H + S +W) + 3×12 + D +12 + 10 = 38×5

178 + D = 190

D = 190 -178 = 12 years

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Filed Under: Problems on Ages
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13 7497

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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Filed Under: Physics
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8 7491

Q:

Kalyan purchased a Maruti van for Rs. 1,96,000 and the rate of depreciation is 14(2/7) % per annum. Find the value of the van after two years ?

A) Rs. 1,24,000	B) Rs. 1,44,000
C) Rs. 1,32,000	D) Rs. 1,62,000

Answer & Explanation Answer: B) Rs. 1,44,000

Explanation:

Value of Maruti Van, V1 = Rs. 1,96,000
Rate of depreciation, r = 14(2/7)% = 100/7%; Time, t = 2 years
Let V2 is the value after depreciation.

$V 2 = V 1 {(1 - (\frac{r}{100}))}^{t}$
V2 = $19600 {[1 - (\frac{\frac{100}{7}}{100})]}^{2}$

V2 = 196000(6/7)(6/7)

V2 = (196000x36)/49 = Rs. 1,44,000.

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Filed Under: Percentage
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4 7479

Q:

A term used interchangeably with diskette is

A) Floppy disk	B) Disk pack
C) Disk cartridge	D) Packette disk

Answer & Explanation Answer: A) Floppy disk

Explanation:

A term used interchangeably with diskette is Floppy disk.

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Filed Under: English
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