positive integer

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GmatKiss: Legendary Member; Posts: 2789; Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members; Location: Chennai, India; Thanked: 206 times; GMAT Score:640

by GmatKiss » Tue Nov 01, 2011 12:05 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

IMO:[spoiler] B/D, as it ends with 5, how to proceed from here?[/spoiler]

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Source: Beat The GMAT — Problem Solving | Tue Nov 01, 2011 12:05 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Tue Nov 01, 2011 12:10 am

GmatKiss wrote: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 = (ky + 9) for some integer k
and x = 96.12y = 96y + 0.12y

Comparing the above two equations, 0.12y = 9 ---> y = 9/0.12 = 75

The correct answer is B.

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shankar.ashwin: Legendary Member; Posts: 966; Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members; Thanked: 230 times

by shankar.ashwin » Tue Nov 01, 2011 12:19 am

You may also see Whitney's approach which I really like.
https://www.beatthegmat.com/number-prope ... tml#415002

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Tue Nov 01, 2011 2:09 am

Here's another approach:

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vaibhavgupta: Master | Next Rank: 500 Posts; Posts: 416; Joined: Tue Aug 30, 2011 2:18 pmFollowed by: 9 members; Location: Delhi, India; Thanked: 13 times

by vaibhavgupta » Wed Nov 02, 2011 2:13 pm

GmatKiss wrote: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

IMO:[spoiler] B/D, as it ends with 5, how to proceed from here?[/spoiler]

Simple 0.12y=9
hence B is the answer!

If OA is A, IMO B
If OA is B, IMO C
If OA is C, IMO D
If OA is D, IMO E
If OA is E, IMO A

FML!! :/

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