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03 Jan 2020, 01:36
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C
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Difficulty:
25%
(medium)
Question Stats:
72% (01:23) correct
28%
(01:06)
wrong
based on 149
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Not Attempted Yet
What is the greatest common divisor of positive integers x and y?
(1) x = y + 6
(2) y/6 is an integer
(1) x = y + 6
(2) y/6 is an integer
04 Jan 2020, 00:50
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1) (y, x) can be (1,7), (2,8), etc. Each has different GCD.
NOT SUFFICIENT
2) we don't know about x
NOT SUFFICIENT
1) (y, x) can be (6,12), (18,24). The GCD is always 6.
SUFFICIENT.
Final answer is (C).
NOT SUFFICIENT
2) we don't know about x
NOT SUFFICIENT
1) (y, x) can be (6,12), (18,24). The GCD is always 6.
SUFFICIENT.
Final answer is (C).
04 Jan 2020, 16:05
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lnm87
What is the greatest common divisor of positive integers x and y?
(1) x = y + 6
(2) y/6 is an integer
(1) x = y + 6
(2) y/6 is an integer
We are finding the GCF of x and y.
Statement 1:
We can have y = 3, x = 9 (GCF = 3) or y = 6, x = 12 (GCF = 6). Insufficient.
Statement 2:
y has a factor of 6. Insufficient.
Combined:
We know that both x and y are multiples of 6. We could have GCF's 6, 12, 18 etc. x is 6 directly higher than y however, so the GCF is only 6 at most. Therefore the GCF can only be 6.
Ans: C
