remainder problem with decimals OG 12th edition PS#106

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bynddrvn: Senior | Next Rank: 100 Posts; Posts: 33; Joined: Thu Apr 16, 2009 6:58 am; Location: Boston; Thanked: 2 times

by bynddrvn » Mon Oct 05, 2009 6:27 am

I am confused by the Official Guide's explanation of question #106 in the problem solving section. It is an easy question remainder problem, but the decimal is throwing me off.

"When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?"

The answer should be 75, but I am having trouble coming up with this answer. Not sure what I am missing, probably something simple.

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Source: Beat The GMAT — Problem Solving | Mon Oct 05, 2009 6:27 am

vivekjaiswal: Master | Next Rank: 500 Posts; Posts: 107; Joined: Tue Sep 15, 2009 7:18 pm; Location: Pune, India; Thanked: 6 times; GMAT Score:630

Re: remainder problem with decimals OG 12th edition PS#106

by vivekjaiswal » Mon Oct 05, 2009 6:50 am

bynddrvn wrote:I am confused by the Official Guide's explanation of question #106 in the problem solving section. It is an easy question remainder problem, but the decimal is throwing me off.

"When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?"

The answer should be 75, but I am having trouble coming up with this answer. Not sure what I am missing, probably something simple.

since by doing x/y you get a remainder of 9, and in decimal terms x/y = 96.12 we know that the remainder divided by y gives us 0.12.
So we get 9/y=0.12 => 900/12=y => y=75

HTHs,
Vivek

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bynddrvn: Senior | Next Rank: 100 Posts; Posts: 33; Joined: Thu Apr 16, 2009 6:58 am; Location: Boston; Thanked: 2 times

answered a few times

by bynddrvn » Tue Nov 03, 2009 8:10 am

Just noticed that a couple of people were stuck on this problem, here is a link to another run through the solution.

https://www.beatthegmat.com/x-y-96-12-t47616.html

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