GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Oct 2019, 07:43 GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

Hide Tags

Director  B
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 526
GPA: 2.81
WE: Business Development (Real Estate)
If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

3
35 00:00

Difficulty:   15% (low)

Question Stats: 85% (01:59) correct 15% (02:30) wrong based on 1447 sessions

HideShow timer Statistics

If mn ≠ 0 and 25 percent of n equals $$37\frac{1}{2}$$ percent of m, what is the value of $$\frac{12n}{m}$$?

A) 18

B) $$\frac{32}{3}$$

C) 8

D) 3

E) $$\frac{9}{8}$$

OG 2017 New Question

_________________
Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges

Originally posted by AbdurRakib on 15 Jun 2016, 01:25.
Last edited by Bunuel on 03 Oct 2017, 01:58, edited 3 times in total.
Edited the question.
Target Test Prep Representative G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2816
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

10
4
AbdurRakib wrote:
If mn ≠ 0 and 25 percent of n equals $$37{}^1/_2$$ percent of m, what is the value of $$\frac{12n}{m}$$?

A) 18
B) $$\frac{32}{3}$$
C) 8
D) 3
E) $$\frac{9}{8}$$

We are given that 25 percent of n = 37 1/2 percent of m. So we have:

(25/100)n = (37.5/100)m

We can multiply both sides by 100:

25n = 37.5m

We can multiply both sides by 10:

250n = 375m

We can divide both sides by 25:

10n = 15m

2n = 3m

We can multiply both sides by 6 to get the 12n in the numerator of (12n)/m:

12n = 18m

Finally, divide both sides by m, obtaining the value of (12n)/m:

(12n)/m = 18

_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Manager  B
Joined: 27 Mar 2014
Posts: 72
Schools: ISB '19, IIMA , IIMB
GMAT 1: 660 Q49 V30 Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

14
4
AbdurRakib wrote:
If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the value of 12n/m?

A) 18
B) $$\frac{32}{3}$$
C) 8
D) 3
E) $$\frac{9}{8}$$

OG 2017 New Question

-------------------------------------------------------------------------------------------------------------

25 % of n = 37 (1/2) % of m , this means n>m

n/m > 1 ; 12 (n/m) > 12

there is only 1 option greater than 12. i.e 18

General Discussion
Manager  Joined: 19 Dec 2015
Posts: 108
Location: United States
GMAT 1: 720 Q50 V38 GPA: 3.8
WE: Information Technology (Computer Software)
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

Given : 25 percent of n equals 37(1/2) percent of m => (25/100)*n = (75/200)*m => 2n = 3m.
12n/m = 6*2n/m = 6*3m/m = 18. Hence A.
Intern  Joined: 21 Jun 2016
Posts: 4
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

I'm totally stuck with arithmetic in this question. I will be very grateful for explanation why exactly I get another result. Can't see it on my own.
I start with (1/4)*n=(37/100)*(1/2)*m and get (1/4)*n=(37/200)*m. Then I continue with 200n=37*4*m and divide both sides by 2 and get 100n=75n. This equation I divide by 100, resulting in n=(3/4)m. Here I substitude for m and get that 12n=12*(3/4)m=9m, and it comes that 9m/m=9.
Where am I lost?
Manager  Joined: 19 Dec 2015
Posts: 108
Location: United States
GMAT 1: 720 Q50 V38 GPA: 3.8
WE: Information Technology (Computer Software)
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

1
MannyOliveira wrote:
I'm totally stuck with arithmetic in this question. I will be very grateful for explanation why exactly I get another result. Can't see it on my own.
I start with (1/4)*n=(37/100)*(1/2)*m and get (1/4)*n=(37/200)*m. Then I continue with 200n=37*4*m and divide both sides by 2 and get 100n=75n. This equation I divide by 100, resulting in n=(3/4)m. Here I substitude for m and get that 12n=12*(3/4)m=9m, and it comes that 9m/m=9.
Where am I lost?

37(1/2) % of m = 37.5 % of m = 75/2 * of m

You have incorrectly assumed it to be (37/100)*(1/2)*m = 18.5% of m.

Hope this helps.
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4005
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

11
Top Contributor
2
AbdurRakib wrote:
If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the value of 12n/m?

A) 18
B) $$\frac{32}{3}$$
C) 8
D) 3
E) $$\frac{9}{8}$$

Useful conversions:
25% = 1/4
37.5% = 3/8

25 percent of n equals 37(1/2) percent of m
In other words, 1/4 of n equals 3/8 of m
We get: n/4 = 3m/8

What is the value of 12n/m?
Take n/4 = 3m/8
Cross-multiply to get: (8)(n) = (3m)(4)
Simplify: 8n = 12m
Divide both sides by m to get: 8n/m = 12 [ALMOST THERE!!!]
Multiply both sides by 1.5 to get: 12n/m = 18

Cheers,
Brent
_________________

Originally posted by GMATPrepNow on 10 Aug 2016, 11:59.
Last edited by GMATPrepNow on 30 Nov 2016, 13:54, edited 1 time in total.
Current Student D
Joined: 12 Aug 2015
Posts: 2569
Schools: Boston U '20 (M)
GRE 1: Q169 V154 Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

It took me some time to realise that 37(1/2) is the mixed notation and not 37*1/2

Change the notation if possible.

Regards
Stone Cold
_________________
Manager  G
Joined: 07 Jun 2017
Posts: 161
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38 GPA: 3.6
WE: Information Technology (Computer Software)
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

3
25n/100 = 37.5m/100
25n = 37.5m
25n/m = 37.5
12.5n / m = 18.45
12n/m = 18 (no need to calculate all other option not at all close to 18)
_________________
Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post
Intern  B
Joined: 18 May 2017
Posts: 13
WE: Corporate Finance (Health Care)
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

1/4(N)=3/8(M)
N=12/8(M)
N/M=12/8
12N/M = 18
VP  D
Joined: 09 Mar 2016
Posts: 1230
If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

FacelessMan wrote:
Given : 25 percent of n equals 37(1/2) percent of m => (25/100)*n =(75/200)*m => 2n = 3m.
12n/m = 6*2n/m = 6*3m/m = 18. Hence A.

hello FacelessMan with brains can you please explain why are you dividing 75 by 200 and not by 100 like you did here (25/100)

thanks! VP  D
Joined: 09 Mar 2016
Posts: 1230
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

GMATPrepNow wrote:
AbdurRakib wrote:
If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the value of 12n/m?

A) 18
B) $$\frac{32}{3}$$
C) 8
D) 3
E) $$\frac{9}{8}$$

Useful conversions:
25% = 1/4
37.5% = 3/8

25 percent of n equals 37(1/2) percent of m
In other words, 1/4 of n equals 3/8 of m
We get: n/4 = 3m/8

What is the value of 12n/m?
Take n/4 = 3m/8
Cross-multiply to get: (8)(n) = (3m)(4)
Simplify: 8n = 12m
Divide both sides by m to get: 8n/m = 12 [ALMOST THERE!!!]
Multiply both sides by 1.5 to get: 12n/m = 18

Cheers,
Brent

Useful conversions:
25% = 1/4
37.5% = 3/8

Hello GMATPrepNow,

what if dont know that 37.5% is 3/8. How can i convert 37.5% into 3/8 manually with pen and paper ? please explain GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4005
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

2
Top Contributor
dave13 wrote:

Useful conversions:
25% = 1/4
37.5% = 3/8

Hello GMATPrepNow,

what if dont know that 37.5% is 3/8. How can i convert 37.5% into 3/8 manually with pen and paper ? please explain We can first write 37.5 as a fraction over 100, and then simplify that fraction.

So, 37.5% = 37.5/100 = 375/1000 = 75/200 = 15/40 = 3/8

Cheers,
Brent
_________________
IIMA, IIMC School Moderator V
Joined: 04 Sep 2016
Posts: 1366
Location: India
WE: Engineering (Other)
If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

1
dave13

Quote:
what if dont know that 37.5% is 3/8. How can i convert 37.5% into 3/8 manually with pen and paper ?

I hope you know 1/2 = 50%

So 1/8 will 50/4 or 12.5%

Multiply numerator by 3 to get 37.5%.

Have attached chart besides your bed too Hope this helps.
Attachments FDP Flowchart.pdf [321.79 KiB]

_________________
It's the journey that brings us happiness not the destination.

Feeling stressed, you are not alone!!
Senior Manager  G
Joined: 31 May 2017
Posts: 334
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

If mn ≠ 0 and 25 percent of n equals 37.5 percent of m, what is the value of 12/m?

We can solve it by direct calculation or through plugging numbers

Solution 1:
25 % of n is equal to 37.5% of m

so 100% of n = 150% of m
N = 1.5M
12N = 18M

Ans: A

Solution 2:

Plugging in a number that is easy to calculate both 25% and 37.5%. Let's take 60 as N.
N = 60
25% Of N = 15

Now 15 is 37.5% of M. So 100 % of M is = 40. [37.5% is 15 , then 75% is 30 , which gives us 100% = 40]

Now we got N=60 , M = 40

Coming to our problem = 12n/m = $$\frac{60*12}{40}$$ = 18

Ans: A
_________________
Please give kudos if it helps

Resources
| | | | |
Manager  B
Joined: 19 Jan 2018
Posts: 67
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

AbdurRakib wrote:
If mn ≠ 0 and 25 percent of n equals $$37\frac{1}{2}$$ percent of m, what is the value of $$\frac{12n}{m}$$?

A) 18

B) $$\frac{32}{3}$$

C) 8

D) 3

E) $$\frac{9}{8}$$

OG 2017 New Question

Handy to memorize that 37.5% = 3/8
25 percent of n equals 37.5 percent of M translates into:
$$\frac{1}{4}$$n = $$\frac{3}{8}$$m

Multiply the whole equation by 8 to get ride of the denominators:
2n = 3m
$$\frac{2n}{m}$$ = 3

Now multiply the whole equation by 12 to match the question stem
$$\frac{12n}{m}$$ = 18
Intern  B
Joined: 20 Jan 2019
Posts: 9
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

I am a little bit stuck guys:

I have tried the approach: 1n/4=75m/2 and when I solve for it I get n/m=150 ... what am I doing wrong ?
Intern  B
Joined: 03 Mar 2019
Posts: 10
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

Simple question and solved in 25 secs.
Manager  S
Joined: 18 Apr 2019
Posts: 87
Location: India
GMAT 1: 720 Q48 V40 GPA: 4
Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the  [#permalink]

Show Tags

ashszn wrote:
I am a little bit stuck guys:

I have tried the approach: 1n/4=75m/2 and when I solve for it I get n/m=150 ... what am I doing wrong ?

you missed the percentage sign. It is 75/2% of m i.e (75/200)*m. Now try to solve  Re: If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the   [#permalink] 12 Aug 2019, 21:12
Display posts from previous: Sort by

If mn ≠ 0 and 25 percent of n equals 37(1/2) percent of m, what is the

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  