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Given that x/y < 1, and both x and y are positive integers,

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Re: Given that x/y < 1, and both x and y are positive integers,

by Brent@GMATPrepNow » Fri Mar 20, 2020 6:09 am
BTGModeratorVI wrote: ↑
Thu Mar 19, 2020 5:32 am
 Given that x/y < 1, and both x and y are positive integers, which one of the following must be greater than 1?

A. x/y^2
B. x^2/y
C. x^2/y^2
D. y/x
E. √(x/y)

Answer: D
Source: Economist GMAT
NOTE: since x and y are both positive, we can safely multiply and divide both sides of the given inequality by x and y.

Given: x/y < 1
Multiply both sides by y to get: x < y
Divide both sides by x to get: 1 < y/x

Answer: D

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Re: Given that x/y < 1, and both x and y are positive integers,

by Scott@TargetTestPrep » Sat Mar 21, 2020 2:59 pm
BTGModeratorVI wrote: ↑
Thu Mar 19, 2020 5:32 am
 Given that x/y < 1, and both x and y are positive integers, which one of the following must be greater than 1?

A. x/y^2
B. x^2/y
C. x^2/y^2
D. y/x
E. √(x/y)

Answer: D
Source: Economist GMAT
Solution:

x/y < 1

x < y

1 < y/x

So y/x is greater than 1.

Alternate Solution:

Because x/y < 1 and x and y are both positive, we know that x is less than y. Thus, y is greater than x. Since x/y < 1, then y/x > 1.

Answer: D

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