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# If y and z are positive integers such that y2z=123.24, the remainder

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Director
Joined: 18 Feb 2019
Posts: 604
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
If y and z are positive integers such that y2z=123.24, the remainder  [#permalink]

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Updated on: 04 May 2019, 10:01
1
10
00:00

Difficulty:

75% (hard)

Question Stats:

51% (02:05) correct 49% (02:00) wrong based on 107 sessions

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If y and z are positive integers such that y/2z=123.24, the remainder obtained when y is divided by z is what percentage lesser than z?

A. 24%
B. 48%
C. 52%
D. 76%
E. Cannot be Determined

Originally posted by kiran120680 on 04 May 2019, 08:57.
Last edited by kiran120680 on 04 May 2019, 10:01, edited 1 time in total.
Senior Manager
Joined: 25 Feb 2019
Posts: 335
Re: If y and z are positive integers such that y2z=123.24, the remainder  [#permalink]

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04 May 2019, 09:31
1
Y and x are integers so the multiplication can not be in decimal

Can you check if there is any typo ....

Posted from my mobile device
Intern
Joined: 13 Apr 2019
Posts: 4
Re: If y and z are positive integers such that y2z=123.24, the remainder  [#permalink]

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04 May 2019, 23:28
1
If y/2z = 123.24 then y/z =246.48
That implies z*0.48 is the remainder which is 0.52 times lesser of z

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Director
Joined: 18 Feb 2019
Posts: 604
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Re: If y and z are positive integers such that y2z=123.24, the remainder  [#permalink]

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25 May 2019, 06:16
kiran120680 wrote:
If y and z are positive integers such that y/2z=123.24, the remainder obtained when y is divided by z is what percentage lesser than z?

A. 24%
B. 48%
C. 52%
D. 76%
E. Cannot be Determined

Kudos for a better explanation.
ISB School Moderator
Joined: 08 Dec 2013
Posts: 616
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '21
GMAT 1: 630 Q47 V30
WE: Operations (Non-Profit and Government)
Re: If y and z are positive integers such that y2z=123.24, the remainder  [#permalink]

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25 May 2019, 06:25
3
kiran120680 wrote:
If y and z are positive integers such that y/2z=123.24, the remainder obtained when y is divided by z is what percentage lesser than z?

A. 24%
B. 48%
C. 52%
D. 76%
E. Cannot be Determined

Good sum,

Concept
X = yQ + R
x when divided by y gives a quotient Q and remainder R such that 0<=R<y

y/z = 246.48

y= 246*z + z(.48)
Remainder= .48z

Answer= { z(1-.48)/z }*100 = 52% C
Director
Joined: 18 Feb 2019
Posts: 604
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Re: If y and z are positive integers such that y2z=123.24, the remainder  [#permalink]

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25 May 2019, 08:20
LeoN88 wrote:
kiran120680 wrote:
If y and z are positive integers such that y/2z=123.24, the remainder obtained when y is divided by z is what percentage lesser than z?

A. 24%
B. 48%
C. 52%
D. 76%
E. Cannot be Determined

Good sum,

Concept
X = yQ + R
x when divided by y gives a quotient Q and remainder R such that 0<=R<y

y/z = 246.48

y= 246*z + z(.48)
Remainder= .48z

Answer= { z(1-.48)/z }*100 = 52% C

Thanks for explanation
Re: If y and z are positive integers such that y2z=123.24, the remainder   [#permalink] 25 May 2019, 08:20
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