Common Admission Test (CAT) Questions and Answers with Explanation

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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Filed Under: Permutations and Combinations
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Q:

Who was the only Secretary General of the UNO to have died while in office ?

A) Dag Hammarskjold	B) Trygve Lie
C) Kurt Waldhiem	D) U Thant

Answer & Explanation Answer: A) Dag Hammarskjold

Explanation:

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Filed Under: General Awareness
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5 8009

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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Filed Under: Average
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22 8008

Q:

Given that 10^0.48 = x, 10^0.70 = y and x^z = y², then the value of z is close to ___ ?

A) 3.7	B) 2.7
C) 3.6	D) 2.9

Answer & Explanation Answer: D) 2.9

Explanation:

x^z = y² 10^(0.48z) = 10^{(2 x 0.70)} = 10^1.40

0.48z = 1.40

z = 140/18 = 35/12 = 2.9 (approx.)

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Filed Under: Simplification
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10 8008

Q:

If 'A $ B' means 'A is brother of B', 'A @ B' means 'A is wife of B', 'A #B' means ' A is daughter of B' and 'A * B' means 'A is father of B', then which of the following expressions indicates the relationship 'U is father-in-law of P ?

A) P@Q$T#U*W	B) P@Q$T#W*U
C) P@W$Q*T#U	D) P@Q$W*T#U

Answer & Explanation Answer: A) P@Q$T#U*W

Explanation:

Here the P is the wife of Q who is brother of T who is daughter of U.

That implies P is wife of U's son Q => U is father-in-law of P.

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Filed Under: Blood Relations
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3 8005

Q:

A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum ?

A) Rs.8000	B) Rs.6500
C) Rs.7500	D) Rs.5000

Answer & Explanation Answer: C) Rs.7500

Explanation:

$p = \frac{(d \times 100^{2})}{R^{2}}$

Where d is difference, r is rate of interest.

=> (48 x 100 x 100) / 8 x 8 = Rs.7500

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Filed Under: Simple Interest
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Q:

Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ?

A) 40 km	B) 50 km
C) 70 km	D) 80 km

Answer & Explanation Answer: D) 80 km

Explanation:

Let the total distance be 'x' km.

Time taken to cover remaining 40% of x distance is $t 1 = \frac{40 \times x}{100 \times 48}$

But given time taken to cover first 60% of x distance is $t 2 = t 1 + \frac{20}{60} h r s$

$t 2 = \frac{60 \times x}{100 \times 48}$

$∴ \frac{60 \times x}{100 \times 48} = \frac{40 \times x}{100 \times 48} + \frac{20}{60}$

x=80 km.

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Filed Under: Time and Distance
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12 7997

Q:

I do just enough work to get by.

A) Disagree	B) Agree
C) Neutral	D) Strongly Disagree

Answer & Explanation Answer: A) Disagree

Explanation:

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Filed Under: English
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