11. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?

1. 42, 33

2. 42, 36

3. 44, 33

4. 44, 36

Answer & Explanation

Answer:- 1

Explanation

Let Marks of first student be x And (x+9).

Then, x+9 = 56/100(x + 9 +x)

= 25(x+9)

= 14 (2x + 9)

= 3x = 99

Therefore x = 33.So, their marks are 42 and 33

12. If A = x% of y and B = y% of x, then which of the following is true?

1. None of these

2. A is smaller than B.

3. Relationship between A and B cannot be determined.

4. If x is smaller than y, then A is greater than B.

5. A is greater than B.

Answer & Explanation

Answer:- 1

Explanation :-

A=(x*y)/100

B=(y*x)/100

Therfore A=B

13. If 20% of a = b, then b% of 20 is the same as:

1. None of these

2. 10% of a

3. 4% of a

4. 20% of a

Answer & Explanation

Answer:- 3

Explanation :-

b=(20/100)*a

b=(1/5)*a

b% of 20=20*(1/5)*a

Therefore b% of 20=4%Of a

14. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

1. 2 : 1

2. 1 : 2

3. 1 : 1

4. 4 : 3

Answer & Explanation

Answer:- 4

5% of A + 4% of B =(2/3)(6% of A + 8% of B)

(5A/100)+(4B/100)=(2/3)((6A/100)+(8B/100)

=>15A+12B=12A+16B

=> 3A = 4B

15. Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

1. Rs. 150

2. Rs. 300

3. Rs. 250

4. Rs. 200

Answer & Explanation

Answer:- 3

Explanation :-

x = 120% of y

Therefore :- y+ 120%of y=550

y+(6/5)y=550

(11/5)y=550

y=250