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# GRE Math Challenge #50- The operation and is defined for all

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GRE Math Challenge #50- The operation and is defined for all [#permalink]  03 May 2015, 00:28
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Question Stats:

100% (00:42) correct 0% (00:00) wrong based on 2 sessions
The operation & is defined for all positive numbers r and t by

$$r&t= \frac{(r-t)^2+ rt}{t}$$

Quantity A: 71•37
Quantity B: 37•71
• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
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Sandy
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Re: GRE Math Challenge #50- The operation and is defined for all [#permalink]  11 Mar 2018, 07:13
sandy wrote:
The operation & is defined for all positive numbers r and t by

$$r&t= \frac{(r-t)^2+ rt}{t}$$

Quantity A: 71•37
Quantity B: 37•71
• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined

First, we ought to know two things.

For qaunt A and B, the numerator part would be the same,

Second, if the numerator part is the same the one with smaller denominator is bigger.

Hence A>B
Re: GRE Math Challenge #50- The operation and is defined for all   [#permalink] 11 Mar 2018, 07:13
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