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Question

If x and y are integers, 7<y<16, and xy=25, how many possible values are there for x?

A
One
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B
Two
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C
Three
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D
Four
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E
Five
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Solution

The correct option is C Three
Given x and y are the integers.
xy=25
y=5x2
7<y<16
7<5x2<16
14<5x<32 (multiplying by 2)
145<x<325 (dividing by 5)
x{3,4,5,6}

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