Common Admission Test (CAT) Questions and Answers with Explanation

Q:

In a factory there are three types of Machines M1 , M2 and M3 which produces 25%, 35% and 40% of the total products respectively. M1, M2 and M3 produces 2% , 4% and 5% defective products, respectively. What is the percentage of non-defective products?

A) 89%	B) 97.1%
C) 96.1%	D) 86.1%

Answer & Explanation Answer: C) 96.1%

Explanation:

Non- defective products

$\frac{25 x 0.98 + 35 x 0.96 + 40 x 0.95}{100} x 100 = 96.1$

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Q:

A man lost half of its initial amount in the gambling after playing 3 rounds. The rule of gambling is that if he wins he will receive Rs. 100, but he has to give 50% of the total amount after each round.Luckily he won all the three rounds. The initial amount with which he had started the gambling was :

A) 500/3	B) 700/3
C) 300	D) 600

Answer & Explanation Answer: B) 700/3

Explanation:

Let the initial amount be x (with gambler), then

$[[(x + 100) \frac{1}{2} + 100] \frac{1}{2} + 100] \frac{1}{2} = \frac{x}{2}$

=> x = 700/3

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Q:

Each edge of a cube is increased by 20% then the percentage increase in surface area of the cube is :

A) 144%	B) 40%
C) 44%	D) 72.8%

Answer & Explanation Answer: C) 44%

Explanation:

The surface area of a cube = 6 $a^{2}$ = 6 $s i d e^{2}$

New Surface area = 6 x 1.44 $a^{2}$

Therefore, $\frac{0.44 a^{2}}{a^{2}} x 100 = 44$ %

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Q:

The average of a set of whole numbers is 27.2. when the 20% of the elements are eliminated from the set of numbers then the average become 34. The number of elements in the new set of numbers can be :

A) 27	B) 35
C) 52	D) 63

Answer & Explanation Answer: C) 52

Explanation:

only (c) is correct since it is divisible by 4.

Let the original number of element be x then the new no.of elements will be

$\frac{4 x}{5} = K$

So K must be divisible by 4

Since, x = Kx5/4

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Q:

A number X is mistakenly divided by 10 instead of being multiplied by 10. What is the percentage error in the result?

A) -99%	B) +99%
C) -100%	D) +100%

Answer & Explanation Answer: A) -99%

Explanation:

By mistake = x/10

Actual value = x * 10

% Change = $\frac{10 x - \frac{x}{10}}{10 x} \times 100 = \frac{99}{100} \times 100$ = 99% (negative)

Since actual value is greater than the wrong value.

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Q:

In Veeru Bhai Pvt.limited company 60% of the employees are men and 48% of the employees are Engineer and 66.6% of these are men. The percentage of women who are not engineers:

A) 33.33%	B) 60%
C) 52%	D) 46.66%

Answer & Explanation Answer: B) 60%

Explanation:

Men Women

600x 400x

Total engineers = 480x

Male engineers = 480x X 0.66 = 320

Women who are Engineers = 160x

Women are not Engineers = 400x - 160x = 240x

Required percentage = $\frac{240}{400} x 100$ = 60%

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Q:

A salesman gets commission on total sales at 9%. If the sale is exceeded Rs.10,000 he gets an additional commission as bonus of 3% on the excess of sales over Rs.10,000. If he gets total commission of Rs.1380, then the bonus he received is:

A) Rs.180	B) Rs.120
C) Rs.480	D) data insufficient

Answer & Explanation Answer: B) Rs.120

Explanation:

Commission up to 10000 = $\frac{10000 x 9}{100}$ = 900

Again after 10000,

Commission : Bonus

9 : 3

3x : x

Therefore, Bonus = $(1380 - 900) \times \frac{1}{4} = R s . 120$

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Q:

In an examination a candidate got 30% marks and failed by 30 marks. If the passing marks are 60% of the total marks, then the maximum marks will be:

A) 450	B) 600
C) 300	D) 100

Answer & Explanation Answer: D) 100

Explanation:

Passing marks are 0.6x

so 0.3x + 30 = 0.6x => x = 100

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