Common Admission Test (CAT) Questions and Answers with Explanation

Q:

They come out at night without being called and are lost in the day without being stolen. What are they?

A) Light	B) Bats
C) Stars	D) Flights

Answer & Explanation Answer: C) Stars

Explanation:

Stars are what that come out at night without being called and are lost in the day without being stolen.

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175 52287

Q:

Which fraction comes next in the sequence

$\frac{2}{3}, \frac{1}{3}, \frac{5}{27}, \frac{7}{81}, ?$

A) 1/27	B) 11/278
C) 9/48	D) 7/123

Answer & Explanation Answer: A) 1/27

Explanation:

Clearly, the numerators of the fractions in the given sequence follow the series of 2, 3, 5, 7,... and the denominator follows 3, 9, 27, 81, 243, ...
Then, the next term in the given sequence is $\frac{9}{3^{5}} = \frac{9}{243} = \frac{1}{27}$ .

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Q:

How much time will take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest ?

A) 4 years	B) 2.5 years
C) 3.5 years	D) 2 years

Answer & Explanation Answer: A) 4 years

Explanation:

Time = (100 x 81) / (450 x 4.5) = 4 years.

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107 52147

Q:

Who first imposed Jizya Tax in India?

A) Allaudin khilji	B) Aurangzeb
C) Mohammad Bin Qasim	D) Qutb-ud-din Aibak

Answer & Explanation Answer: D) Qutb-ud-din Aibak

Explanation:

In India, Islamic rulers Qutb-ud-din Aibak imposed jizya on non-Muslims first time which was called kharaj-o-jizya. Jizya was abolished by the Mughal ruler Akbar in the 16th century but was re-introduced by Aurangzeb in the 17th century.

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150 52106

Q:

What is the value of KL ?

Statement A: $K^{2}$ = 4.
Statement B: L = 0.

A) Only A is sufficient	B) Only B is sufficient
C) Both (A) and (B) are sufficient	D) None of the above

Answer & Explanation Answer: B) Only B is sufficient

Explanation:

From statement B,

As the value of L = 0, the value of KL = 0.

Hence only statement B is sufficient.

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Q:

I. $a^{2} - 7 a + 12 = 0$ ,

II. $b^{2} - 3 b + 2 = 0$

Solve both the equations to find the values of a and b ?

A) if a > b	B) if a < b
C) if the relationship between a and b cannot be established.	D) if a ≤ b

Answer & Explanation Answer: A) if a > b

Explanation:

I. (a - 3)(a - 4) = 0

=> a = 3, 4

II. (b - 2)(b - 1) = 0

=> b = 1, 2

=> a > b

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Q:

Find the next number in the number series?

1, 4, 12, 32, ?

A) 80	B) 100
C) 192	D) 169

Answer & Explanation Answer: A) 80

Explanation:

Next number of the sequence 1, 4, 12, 32,...

1 = 2 x $2^{0}$

4 = 2 x $2^{1}$

12 = 3 x $2^{2}$

32 = 4 x $2^{3}$

80 = 5 x $2^{4}$ .

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Q:

Find the odd man out of the number series?

18, 37, 76, 155, 314, 635

A) 37	B) 155
C) 314	D) 635

Answer & Explanation Answer: D) 635

Explanation:

Given Number series is 18 37 76 155 314 635

follows a pattern that,

18

18 x 2 +1 = 37

37 x 2 +2 = 76

76 x 2 +3 = 155

155 x 2 +4 = 314

314 x 2 +5 = 633 not 635

Hence, the odd man is 635.

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