If y and z are positive integers such that y2z=123.24, the remainder : Problem Solving (PS)

L

kiran120680

Moderator - Masters Forum

Joined: 18 Feb 2019

Posts: 718

Location: India

Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE

GMAT 1: 460 Q42 V13

GPA: 3.6

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

Updated on: 04 May 2019, 10:01

31

Bookmarks

00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

59% (01:48) correct

41% (02:04) wrong

based on 485 sessions

Hide Show timer Statistics

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

Show Answer

Official Answer

Official Answer and Stats are available only to registered users. Register/Login.

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.

P

LeoN88

BSchool Moderator

Joined: 08 Dec 2013

Posts: 686

Location: India

Concentration: Nonprofit, Sustainability

Schools: ISB '23

GMAT 1: 630 Q47 V30 Verified score

WE:Operations (Non-Profit and Government)

Re: If y and z are positive integers such that y2z=123.24, the remainder [#permalink]

25 May 2019, 06:25

7

Kudos

7

Bookmarks

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

G

m1033512

Senior Manager

Joined: 25 Feb 2019

Posts: 280

Re: If y and z are positive integers such that y2z=123.24, the remainder [#permalink]

04 May 2019, 09:31

1

Kudos

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

B

Manaswini123

Intern

Joined: 13 Apr 2019

Posts: 3

Re: If y and z are positive integers such that y2z=123.24, the remainder [#permalink]

04 May 2019, 23:28

2

Kudos

1

Bookmarks

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

Posted from my mobile device

L

kiran120680

Moderator - Masters Forum

Joined: 18 Feb 2019

Posts: 718

Location: India

Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE

GMAT 1: 460 Q42 V13

GPA: 3.6

Re: If y and z are positive integers such that y2z=123.24, the remainder [#permalink]

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.

L

kiran120680

Moderator - Masters Forum

Joined: 18 Feb 2019

Posts: 718

Location: India

Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE

GMAT 1: 460 Q42 V13

GPA: 3.6

Re: If y and z are positive integers such that y2z=123.24, the remainder [#permalink]

25 May 2019, 08:20

1

Kudos

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

P

Kritisood

Director

Joined: 21 Feb 2017

Posts: 521

Location: India

GMAT 1: 700 Q47 V39

Re: If y and z are positive integers such that y2z=123.24, the remainder [#permalink]

15 Apr 2020, 07:53

2

Kudos

y/2z = 123+24/100
y/2z = 12300+24/100
y/z = 12300/50 + 24/50
y/z = 12300/50 +12/25
here 12 is the R and 25 is the divisor (z)
Ques: R (12) is what % lesser than the divisor Z (25)

(25-12/25)*100 = 52

is this approach correct? chetan2u GMATinsight

L

chetan2u

RC & DI Moderator

Joined: 02 Aug 2009

Status:Math and DI Expert

Posts: 11127

Re: If y and z are positive integers such that y2z=123.24, the remainder [#permalink]

15 Apr 2020, 08:29

Expert Reply

Kritisood wrote:

y/2z = 123+24/100
y/2z = 12300+24/100
y/z = 12300/50 + 24/50
y/z = 12300/50 +12/25
here 12 is the R and 25 is the divisor (z)
Ques: R (12) is what % lesser than the divisor Z (25)

(25-12/25)*100 = 52

is this approach correct? chetan2u GMATinsight

Yes, you are correct. What you are finally doing is taking z as 25..
so y/(2*25)=123.24....y=123.24*50=6162..
so y/z=6162/25=6150/25 + 12/25... So remainder is 12 and z=25
_________________

1. Absolute modulus:. 2. Fractions: 3. Percentage increase: 4. Combinations:

Signature Read More

L

GMATinsight

GMAT Club Legend

Joined: 08 Jul 2010

Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator

Posts: 5953

Location: India

GMAT: QUANT+DI EXPERT

Schools: IIM (A) ISB '24

GMAT 1: 750 Q51 V41

WE:Education (Education)

Re: If y and z are positive integers such that y2z=123.24, the remainder [#permalink]

15 Apr 2020, 08:58

Expert Reply

Kritisood wrote:

y/2z = 123+24/100
y/2z = 12300+24/100
y/z = 12300/50 + 24/50
y/z = 12300/50 +12/25
here 12 is the R and 25 is the divisor (z)
Ques: R (12) is what % lesser than the divisor Z (25)

(25-12/25)*100 = 52

is this approach correct? chetan2u GMATinsight

That's not just fine. It's smart Kritisood

All the best!

B

Swat2020

Intern

Joined: 15 May 2020

Posts: 4

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

17 Jul 2020, 14:22

Y/2Z = 123.24

Y/Z = 244.48

Since, Remainder/Divisor = the decimal part

=> Remainder/Z = 0.48
=> Remainder/Z = 48/100
=> Remainder = 48 and Z = 100

To calculate remainder is what % lesser than Z
(100-48)/100 = 52/100

Answer: 52%

P

kittle

Senior Manager

Joined: 11 May 2021

Posts: 273

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

14 Jun 2021, 14:43

Why have people broken down it as 244 +0.48, why cant i write 243 (Z) + 1.48(Z)?

Bunuel

B

abhimanyujain1711

Intern

Joined: 31 May 2018

Posts: 15

Re: If y and z are positive integers such that y2z=123.24, the remainder [#permalink]

29 Jun 2021, 05:29

1

Kudos

hi guys,
just make it simple.

Y/2Z = 12324/100

Y/Z= 12324/50

now the remainder is 24.

now, 50-24 = 26

26/50*100 = 52 percent

took me 1.29 mins.

bumpbot

Non-Human User

Joined: 09 Sep 2013

Posts: 32549

Re: If y and z are positive integers such that y2z=123.24, the remainder [#permalink]

09 Apr 2024, 19:25

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Signature Read More

gmatclubot

Re: If y and z are positive integers such that y2z=123.24, the remainder [#permalink]

09 Apr 2024, 19:25

GMAT Problem Solving (PS) Questions

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

GMAT Question Banks