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Q:

In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?

A) 25	B) 50
C) 75	D) 100

Answer & Explanation Answer: C) 75

Explanation:

Let the number of students in the class be 100 and let this required average be x.

Then, (10 * 95) + (20 * 90) + (70 * x) = (100 * 80)

=> 70x = 8000 - (950 + 1800) = 5250

=> x = 75.

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Q:

While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average ?

A) 8 + 15/17	B) 2 + 13/17
C) 3 + 2/17	D) 5 + 13/12

Answer & Explanation Answer: A) 8 + 15/17

Explanation:

Total sales tax paid = 7% of Rs, 400 + 9% of Rs. 6400

=Rs. (7/100)*400 + (9/100)*6400 = Rs. (28 + 576) = Rs. 604.

Total cost of the items = Rs. (400 + 6400) = Rs. 6800.

Required percentage =(604/6800*100) % = $8 \frac{15}{17}$ %.

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Q:

The diference of two numbers is 20% of the larger number, if the smaller number is 20, then the larger number is :

A) 15	B) 25
C) 35	D) 45

Answer & Explanation Answer: B) 25

Explanation:

Let the large number be x.

Then x - 20 = 20x/100

=> x - x/5 = 20 => x = 25.

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Q:

A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?

A) 10	B) 20
C) 30	D) 40

Answer & Explanation Answer: A) 10

Explanation:

A's Salary = 40% of B = 40% of (25% of C) = 40/100[(52/100)*100] % of C = 10% of C.

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Q:

If 75% of a number is added to 75, then the result is the number itself. The number is :

A) 100	B) 200
C) 300	D) 400

Answer & Explanation Answer: C) 300

Explanation:

Let the number be x, Then

75% of x + 75 = x

=> x - 75x/100 =75

=> x = 300 .

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Q:

How many litres of pure acid are there in 8 litres of a 20% solution ?

A) 1.4	B) 1.5
C) 1.6	D) 1.7

Answer & Explanation Answer: C) 1.6

Explanation:

Quantity of pure acid = 20% of 8 litres = ((20/100)*8) litres = 1.6 litres.

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Q:

Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?

A) 20	B) 30
C) 40	D) 50

Answer & Explanation Answer: C) 40

Explanation:

The fruit content in both the fresh fruit and dry fruit is the same.

Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh fruits is 100kg

Dry fruit has 20% water.so remaining 80% is fruit content.let weight if dry fruit be y kg.

Fruit % in freshfruit = Fruit% in dryfruit

Therefore, (32/100) x 100 = (80/100 ) x y

we get, y = 40 kg.

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Q:

The population of a town was 1,60,000 three years ago, If it increased by 3%, 2.5% and 5% respectively in the last three years, then the present population in

A) 155679	B) 167890
C) 179890	D) 177366

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