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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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Q:

The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product?

A) 10% more	B) 5% more
C) 12.5% more	D) 17.5% more

Answer & Explanation Answer: C) 12.5% more

Explanation:

Quantity X Rate = Price

1 x 1 = 1

0.7 x 1.25 = 0.875

Decrease in price = (1-0.875) x 100 = 12.5%

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Q:

Abhinav scores 80% in physics and 66% in chemistry and the maximum marks of both the papers are 100. what percent does he score in maths which is of 200 marks, if he scores 80% marks in all the three subjects:

A) 74%	B) 84%
C) 87%	D) 83%

Answer & Explanation Answer: C) 87%

Explanation:

$\frac{80}{100} + \frac{66}{100} + \frac{x}{200} = \frac{320}{400}$

=>x = 174 => 87%

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Q:

Lagaan is levied on the 60% of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Sukhiya over the total taxable land of the village is:

A) 0.15%	B) 15%
C) 0.125%	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

Total land of Sukhiya = 480x/0.6 = 800x

Cultivated land of village = 384000x

Required percentage = $\frac{800 x}{384000} x 100 = 0.20833$

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