GMAT Prep Test 2

dsuna · Posted: Sun Mar 25, 2007 10:27 am Post subject: GMAT Prep Test 2

1. 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

Ans. B

what I am missing here? why answer is B when we know only that k is a positive integer?

jayhawk2001 · Posted: Sun Mar 25, 2007 1:10 pm Post subject:

1 - insufficient. q can be 11...16 and each yields a different value for r

2 - sufficient. Values for q are 2, 4, 8 and 16
17 / 2 remainder is 1
17 / 4 remainder is 1
17 / 8 remainder is 1
17 / 16 remainder is 1

Hence B