CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions
Which of the following is the duplicate ratio of the ratio 3:5, and what is its value when compared with the sub-duplicate ratio of 36:64?
The duplicate ratio of 3:5 is 9:25, obtained by squaring both terms, and the sub-duplicate ratio of 36:64 is 6:8, obtained by taking square roots. Doubling the terms to get 6:10 confuses duplicate with equivalent ratios.
- A9:25 and 6:8Correct
- B6:10 and 6:8
- C9:25 and 36:64
- D3:5 and 6:8
Explanation
Duplicate ratio of 3:5 is 3²:5² = 9:25. Sub-duplicate ratio of 36:64 is √36:√64 = 6:8. Option 6:10 doubles the terms instead of squaring them, which is the wrong operation.
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