GMAT Prep Test 2

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dsuna: Junior | Next Rank: 30 Posts; Posts: 14; Joined: Sat Mar 17, 2007 7:35 pm

by dsuna » Sun Mar 25, 2007 9:27 am

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?

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Source: Beat The GMAT — Data Sufficiency | Sun Mar 25, 2007 9:27 am

jayhawk2001: Community Manager; Posts: 789; Joined: Sun Jan 28, 2007 3:51 pmFollowed by: 1 member; Location: Silicon valley, California; Thanked: 30 times

by jayhawk2001 » Sun Mar 25, 2007 12:10 pm

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

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