VJesus12 wrote:If q is a member of the set {21, 22, 24, 25, 26, 27} what is the value of q?
(1) q has exactly 1 prime factor
(2) q is divisible by 3
Statement 1:
Here, there are exactly two options for q:
Case 1: q=25, since the only prime factor of 25 is 5.
Case 2: q=27, since the only prime factor of 27 is 3.
Since q can be different values, INSUFFICIENT.
Statement 2:
Here, there are exactly two options for q:
Case 2: q=27, since 27 is divisible by 3.
Case 3 and 4: q=21 or q=24, since both values are divisible by 3.
Since q can be different values, INSUFFICIENT.
Statements combined:
Both statements are satisfied only by Case 2.
In Case 2, q=27.
SUFFICIENT.
The correct answer is
C.
Last edited by
GMATGuruNY on Wed Apr 18, 2018 7:30 am, edited 1 time in total.
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