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jainnikhil02: Master | Next Rank: 500 Posts; Posts: 123; Joined: Tue May 31, 2011 12:26 amFollowed by: 1 member; Location: Hyderabad; Thanked: 5 times

by jainnikhil02 » Wed Jun 08, 2011 11:05 am

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?
A. 96
B. 75
C. 48
D. 25
E. 12

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Source: Beat The GMAT — Problem Solving | Wed Jun 08, 2011 11:05 am

Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members; Location: India; Thanked: 375 times

by Frankenstein » Wed Jun 08, 2011 11:12 am

Hi,
0.12 = 9/y =>y = 75
Hence, B

Cheers!

Things are not what they appear to be... nor are they otherwise

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champ0007: Senior | Next Rank: 100 Posts; Posts: 43; Joined: Wed Feb 06, 2008 5:37 amFollowed by: 1 member; Thanked: 8 times

by champ0007 » Wed Jun 08, 2011 11:16 am

x/y = 96.12 = 96 + 0.12

Remainder comes from the decimal part of it

0.12y = 9

y = 9/0.12 = 900/12 = 300/4 = 75

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smackmartine: Legendary Member; Posts: 516; Joined: Fri Jul 31, 2009 3:22 pmFollowed by: 13 members; Thanked: 112 times

by smackmartine » Wed Jun 08, 2011 11:21 am

IMO B
x/y = 96.12
x=96 y + .12y

also x = yQ+9

from both statements 0.12y=9
y = 900/12 =75

Last edited by smackmartine on Wed Jun 08, 2011 11:35 am, edited 1 time in total.

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champ0007: Senior | Next Rank: 100 Posts; Posts: 43; Joined: Wed Feb 06, 2008 5:37 amFollowed by: 1 member; Thanked: 8 times

by champ0007 » Wed Jun 08, 2011 11:29 am

I think you meant "x = Qy + 9"

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smackmartine: Legendary Member; Posts: 516; Joined: Fri Jul 31, 2009 3:22 pmFollowed by: 13 members; Thanked: 112 times

by smackmartine » Wed Jun 08, 2011 11:34 am

champ0007 wrote:I think you meant "x = Qy + 9"

Yes.thnx

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TuanNguyen87: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Wed May 25, 2011 9:40 am

by TuanNguyen87 » Wed Jun 08, 2011 2:35 pm

We have x/y = 96.12 => x = 96y + 0.12y
The remainder is 9,
=> 0.12y = 9 => y = 75
Answer: B

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cans: Legendary Member; Posts: 1309; Joined: Mon Apr 04, 2011 5:34 amFollowed by: 123 members; Location: India; Thanked: 310 times; GMAT Score:750

by cans » Wed Jun 08, 2011 8:05 pm

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?

x/y remainder=9
x/y=96.12
x=96.12y = 96y+.12y
thus x/y remainder = .12y=9
y=75
IMO B

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