BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

OG13 PS Q95 : What is value of y ?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Junior | Next Rank: 30 Posts
Posts: 21
Joined: Mon Sep 15, 2008 1:22 am
Location: India
Thanked: 1 times
GMAT Score:630

OG13 PS Q95 : What is value of y ?

by gmatstud » Wed Jul 04, 2012 5:13 am
When positive integer x is divided by positive integer y, the remainder is 9. If , what is the value of y ?
(A) 96 (B) 75 (C) 48 (D) 25 (E) 12

I quite did not understand the explanation:

I'm not posting the same for now. Just wanted to know if there is a different approach to tackle this problem
Never give up .......
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 520
Joined: Sat Apr 28, 2012 9:12 pm
Thanked: 339 times
Followed by:49 members
GMAT Score:770

by eagleeye » Wed Jul 04, 2012 5:27 am
gmatstud wrote:When positive integer x is divided by positive integer y, the remainder is 9. If , what is the value of y ?
(A) 96 (B) 75 (C) 48 (D) 25 (E) 12

I quite did not understand the explanation:

I'm not posting the same for now. Just wanted to know if there is a different approach to tackle this problem
Hi gmatstud:

You didn`t post the complete problem. You are missing. If x/y=96.12, what is y?

Anyways, here's how I did it.

If x/y =96.12, the remainder is 0.12*y. For example, if we divide 5 by 2, 5/2 = 2.5, the remainder is 0.5*2=1. In the same way if 15 is divided by 4, 15/4=3.75; The remainder is 0.75*4=3. So the remainder is always fractional part * denominator.
So in this case remainder = 0.12*y.

We are told that remainder is 9.
so 0.12*y=9 => y=9/0.12 = 9*100/12 = 75.

Alternate way:

fractional part = 0.12 = 12/100 = 3/25. Since remainder is 9, we need 9 at the top of this fraction. Multiply and divide 3/25 by 3, we get 3/25 = 9/75. Hence y=75.

Let me know if this helps :)
Top
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Wed Jul 04, 2012 8:03 am
gmatstud 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

I quite did not understand the explanation:

I'm not posting the same for now. Just wanted to know if there is a different approach to tackle this problem
When one positive integer is divided by another, we typically represent what's left over either as a REMAINDER or as a DECIMAL.
There is a relationship between the two representations:

Remainder/Divisor = Decimal.

When 5 is divided by 2:
Remainder representation: 5/2 = 2 R1.
Decimal representations: 5/2 = 2.5.
Remainder/Divisor = 1/2.
Decimal = .5.
Since the two values are equal:
Remainder/divisor = decimal.

It can be helpful to write the decimal representation AS A FRACTION IN ITS MOST REDUCED FORM.

In the problem above:
Remainder = 9.
Divisor = y.
Decimal = .12 = 12/100 = 3/25.
Plugging these values into remainder/divisor = decimal, we get:
9/y = 3/25
y = 75.

The correct answer is B.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Post new topic Post Reply
• Page 1 of 1