k/6 + m/4 = t/12
2k/12 + 3m/12 = t/12
2k + 3m = t
do t and 12 have a common factor greater than 12?
statement 1:
k=3x, where x is some positive integer.
so,
2(3x) + 3m = t
3(2x + m) = t
we know that (2x + m) is an integer, so t is a multiple of 3. therefore, t and 12 have 3 as a common factor, which is greater than 1. sufficient.
statement 2:
m=3y, where y is some positive integer.
so,
2k + 3(3y) = t
we cannot factorize the equation further because we don’t know anything about k or y. insufficient.
Choose A.
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DS
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Source: Beat The GMAT — Data Sufficiency |
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bluementor
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