Quantity A= (9/13)2 and Quantity B= (9/13)1/2

Quantity A= (9/13)² and Quantity B= (9/13)^1/2

A Quantity A equals Quantity B

B Relationship indeterminate

C Quantity B is greater

D Quantity A is greater

Solution

Correct Answer: Option C

Let y = 9/13. However, it is not meaningful to try to manually calculate y2 or y1/2 in this case. The relationship is not indeterminate because the uantities are given numbers. It is also clear that Quantity A does not equal Quantity B here. So, we need to ascertain whether y2 is greater than or less than y1/2 when 0 < y < 1. Note y2 < y when 0 < y < 1. Also y1/2 > y when 0 < y < 1. Therefore, y1/2 > y2 when 0 < y < 1

Thus, Quantity B is greater than A

Solution

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