## If x>100, what is the smallest value of x for which (3+x)/12 is an integer.

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### If x>100, what is the smallest value of x for which (3+x)/12 is an integer.

by BTGmoderatorDC » Fri Feb 03, 2023 2:57 am

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If x>100, what is the smallest value of x for which (3+x)/12 is an integer.

A. 102
B. 103
C. 104
D. 105
E. 106

OA D

Source: Veritas Prep

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### Re: If x>100, what is the smallest value of x for which (3+x)/12 is an integer.

by [email protected] » Fri Feb 03, 2023 5:54 am
BTGmoderatorDC wrote:
Fri Feb 03, 2023 2:57 am
If x>100, what is the smallest value of x for which (3+x)/12 is an integer.

A. 102
B. 103
C. 104
D. 105
E. 106

OA D

Source: Veritas Prep
Since (3 + x)/12 must be an integer and x >100, we must find the smallest value of x greater than 100 that makes 3 + x a multiple of 12.

Since (105 + 3)/12 = 108/12 = 9, 105 is the smallest possible value of x.