Question

The ratio compounded of the duplicate ratio of 8 : 7, the sub-duplicate of 9:64 and the reciprocal of 24 : 49 is

• A. 1:1
• B. 1:9
• C. 2:5
• D. 2:6

Answer 1

The correct option is A

1:1

Duplicate ratio of 8 : 7 = 64 : 49
Sub-duplicate of 9:64 = 3 : 8
Reciprocal of 24 : 49 = 49 : 24

The required compounded ratio = $\frac{64}{49}\times \frac{3}{8}\times \frac{49}{24}$

= 1 : 1