x, y, a, and b are positive integers

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melguy: Master | Next Rank: 500 Posts; Posts: 335; Joined: Mon Mar 21, 2011 11:31 pm; Location: Australia / India; Thanked: 37 times; Followed by:2 members

x, y, a, and b are positive integers

by melguy » Sun Nov 13, 2016 9:28 pm

Please help me with this question

x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?

24
21
20
17
15

I also wanted to confirm what is the minimum values for x,y,a,b (if I am not mistaken division by zero is undefined?)? Also, please let me know why other options are incorrect.

Thanks

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Sun Nov 13, 2016 9:53 pm

HINT: When positive integer N is divided by positive integer D, the remainder R is such that 0 < R < D
For example, if we divide some positive integer by 7, the remainder will be 6, 5, 4, 3, 2, 1, or 0

Brent Hanneson - Creator of GMATPrepNow.com

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melguy: Master | Next Rank: 500 Posts; Posts: 335; Joined: Mon Mar 21, 2011 11:31 pm; Location: Australia / India; Thanked: 37 times; Followed by:2 members

by melguy » Sun Nov 13, 2016 11:14 pm

Thanks for your help Brent!

I think the value of minimum value of y+b will be 17.

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Last edited by melguy on Mon Nov 14, 2016 12:47 am, edited 1 time in total.

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GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

by Brent@GMATPrepNow » Sun Nov 13, 2016 11:26 pm

melguy wrote:Thanks for your help Brent!

I think the value of minimum value of y+b will be 17.

BINGO!

Brent Hanneson - Creator of GMATPrepNow.com

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