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If x/y is an integer, which of the following must also be an integer?

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by BTGmoderatorDC » Sat Dec 25, 2021 5:59 pm

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A

B

C

D

E

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If x/y is an integer, which of the following must also be an integer?

I. xy
II. y/x
III. x

A. I alone
B. II alone
C. III alone
D. I and III
E. None of the above



OA E

Source: Veritas Prep
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Source: — Problem Solving |

Can X/Y be an integer if neither X nor Y are ?

Well, setting X=1/2 and Y=1/4 means X/Y= (1/2)/(1/4)=2, so the answer is yes.

This also means III is rejected as an answer.

Is XY an integer ? 1/2*1/4 = 1/8, so no

Is Y/X an integer ? No, it is (1/4)/(1/2) or 1/2

Answer choice E is the only one that fits
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