type 3 addition subtraction product on ratio & proportion Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

The ratio of two numbers is 10 : 7 and their difference is 105. The sum of these numbers is

a) 1190

b) 1610

c) 805

d) 595

Question : 2

Two numbers are in the ratio 3 : 5. If 6 is added to each of them, the ratio becomes 2 : 3. The numbers are

a) 24 and 40

b) 18 and 30

c) 30 and 50

d) 21 and 35

Question : 3

Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are

a) 12, 18 and 24

b) None of the above

c) 16, 24 and 32

d) 8, 12 and 16

Question : 4

If the square of the sum of two numbers is equal to 4 times of their product, then the ratio of these numbers is :

a) 1 : 1

b) 1 : 2

c) 1 : 3

d) 2 : 1

Question : 5

Three numbers are in the ratio 3 : 4 : 5. The sum of the largest and the smallest equals the sum of the second and 52. The smallest number is

a) 39

b) 52

c) 27

d) 20

Question : 6

Two numbers are in the ratio 1 : 3. If their sum is 240, then their difference is

a) 100

b) 96

c) 108

d) 120