Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A and B started a business after investing Rs. 12,000 and Rs. 14,400 respectively. At the end of the year B gets 12% of the total profit as management fees and the rest amount is distributed between both the partners in the ratio of their investments. If total annual profit is Rs. 7,500, then find the difference between their profits.

A) Rs. 1250	B) Rs. 600
C) Rs. 900	D) Rs. 1500

Answer & Explanation Answer: D) Rs. 1500

Explanation:

From the given data,

Ratio of capital = 12000 : 14400 = 5 : 6

Required Difference =

$\frac{6 - 5}{6 + 5} (\frac{88}{100} x 7500) + \frac{12}{100} x 7500 = \frac{1}{11} x 88 x 75 + 12 x 75 = 600 + 900 = 1500$

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Filed Under: Partnership
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8 6819

Q:

When was the first central legislative assembly constituted?

A) 1909	B) 1917
C) 1920	D) 1925

Answer & Explanation Answer: C) 1920

Explanation:

The first central legislative assembly constituted in the year 1920.

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Filed Under: Indian Politics
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4 6819

Q:

A man is facing towards the east. He turns 270 degrees clockwise and then takes a right turn. Finally, he turns 90 degrees anticlockwise. Which direction is he facing now?

A) West	B) South
C) North	D) East

Answer & Explanation Answer: C) North

Explanation:

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Filed Under: Direction Sense Test
Exam Prep: Bank Exams , CAT

16 6817

Q:

Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book?

A) 58	B) 60
C) 55	D) 45

Answer & Explanation Answer: B) 60

Explanation:

-5-----------------------5-------------------20

5-(-5) = 10

20-5= 15

Ratio of cost price of book1 and book2 = 3:2

Then cost price of book 1 is given by

(3/5) x 100 = Rs. 60.

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Filed Under: Profit and Loss
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20 6815

Q:

5 sin(x)+ 12 cos(x) + r is always greater than or equal to zero. What is the smallest value satisfied by 'r' ?

A) -13	B) 11
C) 13	D) -11

Answer & Explanation Answer: C) 13

Explanation:

Given,

5sinx + 12cosx ≥ -r

$\Rightarrow 13 (\frac{5}{13} \sin x + \frac{12}{13} \cos x) \geq - r$ cosx) ≥ -r

$\frac{5}{13}$ = cosA => sinA = $\frac{12}{13}$

=> 13(sinx cosA + sinA cosx) ≥ -r

=> 13(sin(x + A)) ≥ -r

we know that , -1 ≤ sin (angle) ≤ 1

=> 13sin (x + A) ≥ -13 $\Rightarrow r_{m i n} = 13$

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Filed Under: Simplification
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8 6811

Q:

Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit ?

A) Rs. 8840	B) Rs. 8800
C) Rs. 8810	D) None

Answer & Explanation Answer: D) None

Explanation:

Amount = $8000 {(1 + \frac{5}{100})}^{2}$

= 8000 x 21/20 x 21/20

= Rs. 8820

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Filed Under: Compound Interest
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6 6806

Q:

The sum of three numbers is 98. If the ratio of the first to the second is 2:3. And that of the second to the third is 5:8, then the second number is:

A) 30	B) 27
C) 23	D) 33

Answer & Explanation Answer: A) 30

Explanation:

Then, A:B = 2:3 and B:C = 5:8
= (5 x 3/5) : (8 x 3/5) = 3:24/5
A:B:C = 2:3:24/5
= 10:15:24 => B = 98 x 15/49 = 30.

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Filed Under: Arithmetical Reasoning
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Q:

Which type of forests occupies the highest percentage of area in India ?

A) Savanna & desert vegetation	B) Tropical deciduous
C) Tropical Rainforests	D) Equatorial evergreen

Answer & Explanation Answer: B) Tropical deciduous

Explanation:

Tropical Deciduous Forests: They are also called the “Monsoon forests”. They grow in the areas with annual rainfall of 70-200 cm. Sandal wood, Shisam, Mahua, Sal, Teak and Bamboo are important species of trees. Moist deciduous and the dry deciduous forests are two major categories of these forests.

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Filed Under: Indian Geography
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