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Q: If a : b = 2 : 3 and c : d = 5a : 3b, then 2c : 5d is equal to:
  • A. 1 : 1
  • B. 10 : 9
  • C. 4 : 9
  • D. 9 : 10
Correct Answer: Option C - Given, a : b = 2 : 3 c : d = 5 x 2 : 3 x 3 = 10 : 9 Then, 2c : 5d = 10 x 2 : 5 x 9 = 20 : 45 = 4 : 9
C. Given, a : b = 2 : 3 c : d = 5 x 2 : 3 x 3 = 10 : 9 Then, 2c : 5d = 10 x 2 : 5 x 9 = 20 : 45 = 4 : 9

Explanations:

Given, a : b = 2 : 3 c : d = 5 x 2 : 3 x 3 = 10 : 9 Then, 2c : 5d = 10 x 2 : 5 x 9 = 20 : 45 = 4 : 9