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13 Sep 2010, 08:37
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B
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57% (01:36) correct
43%
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wrong
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If q is a positive integer less than 17 and r is the remainder when 17 is divided by q, what is the value of r?
(1) q > 10
(2) q = 2^k, where k is a positive integer
(1) q > 10
(2) q = 2^k, where k is a positive integer
13 Sep 2010, 08:58
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rraggio
Red part is not correct.
For (2):
17 divide by 2 yields remainder of 1;
17 divide by 4 yields remainder of 1;
17 divide by 8 yields remainder of 1;
17 divide by 16 yields remainder of 1;
So when q=2^k then the remainder upon division 17 by q is always 1.
Answer: B.
Hope it helps.
General Discussion
13 Sep 2010, 08:41
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(1) q>10
This means q can be any integer between 11 and 16. So the remainder can be any integer from 6 to 1.
Statement (1) is not sufficient. So it's B or C or E.
(2) q=2^k
This means q can be one of these values: 2, 4, 8, 16. So the remainder can be respectively 15, 13, 9, 1.
Statement (2) is not sufficient. So it's C or E.
(1) and (2)
This means q must be 16, so the remainder is 1.
Right answer is C.
I don't know why the official answer is B.
Did I miss anything?
Thanks!
This means q can be any integer between 11 and 16. So the remainder can be any integer from 6 to 1.
Statement (1) is not sufficient. So it's B or C or E.
(2) q=2^k
This means q can be one of these values: 2, 4, 8, 16. So the remainder can be respectively 15, 13, 9, 1.
Statement (2) is not sufficient. So it's C or E.
(1) and (2)
This means q must be 16, so the remainder is 1.
Right answer is C.
I don't know why the official answer is B.
Did I miss anything?
Thanks!
