Common Admission Test (CAT) Questions and Answers with Explanation

Q:

" Kamarupa " is the old name of ______ state ?

A) Bihar	B) Assam
C) Bengal	D) Odisha

Answer & Explanation Answer: B) Assam

Explanation:

Alternately it is also called as Pragjyotisha before British rule.

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Filed Under: Indian History
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21 10488

Q:

Solve the following equations and find the value of abc?

A) 3	B) 6
C) 9	D) 12

Answer & Explanation Answer: B) 6

Explanation:

From the given equations,

$(a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 (ab + bc + ca)$
${(6)}^{2} = 14 + 2 (ab + bc + ca)$
36 - 14 = 2(ab + bc + ca)
22/2 = ab + bc + ca
ab + bc + ca = 11

$a^{3} + b^{3} + c^{3} - 3 abc = (a + b + c) (a^{2} + b^{2} + c^{2} - ab - bc - ca)$
= (6) (14 - 11)
=(6)(3)
=18

Since, $a^{3} + b^{3} + c^{3} - 3 abc = 18$

36 - 3abc = 18

-3abc = 18 - 36

-3abc = -18

abc = 6.

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Filed Under: Math Puzzles
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36 10484

Q:

In a Certain Country 1/2 of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?

A) 4	B) 6
C) 8	D) 10

Answer & Explanation Answer: A) 4

Explanation:

Let $\frac{1}{3} (10) = x$

=> 3x = 10

Given that $\frac{1}{2} (5) = 3$

Therefore, $\frac{5}{2} x = 10$

=> x = 10/3 = 4.

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20 10482

Q:

Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ?

A) A = 48000 B = 40000 C = 30000	B) A = 30000 B = 40000 C = 48000
C) A = 30000 B = 48000 C = 40000	D) A = 40000 B = 48000 C = 30000

Answer & Explanation Answer: B) A = 30000 B = 40000 C = 48000

Explanation:

Compound ratio of A:B:C
A:B = 3:4
B:C = 5:6
----------
A:B:C = 15:20:24

We can divide Rs.118000 in this ratio.

Share of A = 15/59 x 118000 = 30000

Share of B = 20/59 x 118000 = 40000

Share of C = 24/59 x 118000 = 48000

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Filed Under: Partnership
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4 10478

Q:

The term biodiversity refers to

A) Range of genetic variation within a population	B) Total number of different species within a habitat
C) Both A & B	D) None of the above

Answer & Explanation Answer: C) Both A & B

Explanation:

The term biodiversity refers to the variety of life on Earth at all its levels, from genes to ecosystems, and the ecological and evolutionary processes that sustain it.

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Filed Under: General Science
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9 10468

Q:

Which one of the following does not contain Silver ?

A) Horn Silver	B) Ruby Silver
C) Lunar Caustic	D) German Silver

Answer & Explanation Answer: D) German Silver

Explanation:

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30 10446

Q:

The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ?

A) 14:9	B) 13:12
C) 16:5	D) 17:13

Answer & Explanation Answer: C) 16:5

Explanation:

Area of a square SxS = 1024 => S = 32 cm
Length of the rectangle = 32x2 cm = 64 cm
Breadth of the rectangle = 32 - 12 = 20 cm
Required ratio = 64 : 20 = 16 : 5

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Filed Under: Area
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5 10440

Q:

It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010 ?

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

Answer & Explanation Answer: B) Friday

Explanation:

Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.

On 1st Jan 2006, it was Sunday.

Thus, On 1st Jan, 2010 it is Friday.

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53 10435

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