Question

Ram is 2 inches taller than Somu. Raghu is 3 inches taller than Sushma. Somu is 2 inches taller than Raghu. The ratio of the heights of Ram, Somu, Raghu and Sushma can be:

• A. 9 : 7 : 5 : 2
• B. 6 : 4 : 1.5 : 0.5
• C. 7 : 5 : 3 : 1
• D. 10 : 8 : 6 : 3

Answer 1

Answer: (A), (D)

The correct options are
A 9 : 7 : 5 : 2
D 10 : 8 : 6 : 3

Let us consider Sushma's height to be equal to x inches.
Raghu's height = x + 3 inches
Somu's height = Raghu's height + 2 = x + 3 + 2 = x + 5 inches
Ram's height = Somu's height + 2 = x + 5 + 2 = x + 7 inches

$\therefore$The ratio of Ram's, Somu's, Raghu's and Sushma's heights is
x + 7 : x + 5 : x + 3 : x
Options (a) and (d) satisfy this condition.