Last visit was: 25 Apr 2026, 17:20 It is currently 25 Apr 2026, 17:20
Home
Messages
Tests
Schools
Events
Close
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
Your Progress

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
555-605 (Medium)|   Algebra|         
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,830
Own Kudos:
811,282
 [25]
Given Kudos: 105,886
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,830
Kudos: 811,282
 [25]
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? 05 Nov 2015, 12:32
4
Kudos
Add Kudos
19
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

78% (01:28) correct 22% (01:45) wrong based on 852 sessions

History

Date
Time
Result
Not Attempted Yet
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ?

(A) 25/6
(B) 36/25
(C) 6/5
(D) 5/6
(E) 25/36
ShowHide Answer
Official Answer
B
If this question felt shaky, try an adaptive mini quiz of similar problems in GMAT Club Forum Quiz →. Free plan gives 5 questions per day.
Most Helpful Reply
User avatar
camlan1990
User avatar
Joined: 11 Sep 2013
Last visit: 19 Sep 2016
Posts: 95
Own Kudos:
270
 [7]
Given Kudos: 26
Schools: Kenan-Flagler '17 SMU '17 McCombs '19
Schools: Kenan-Flagler '17 SMU '17 McCombs '19
Posts: 95
Kudos: 270
 [7]
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? 05 Nov 2015, 12:54
2
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
Bunuel
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ?

(A) 25/6
(B) 36/25
(C) 6/5
(D) 5/6
(E) 25/36
Show more



5x = 6y => x/y = 6/5

1/5*x to 1/6*y = x/y * 6/5 = (6/5)^2=36/25
Ans: B
General Discussion
User avatar
mvictor
User avatar
Board of Directors
Joined: 17 Jul 2014
Last visit: 14 Jul 2021
Posts: 2,118
Own Kudos:
1,277
 [1]
Given Kudos: 236
Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '20 (WD)
GMAT 1: 650 Q49 V30
GPA: 3.92
WE:General Management (Transportation)
Products:
My Reviews
Schools: Stanford '20 (WD)
GMAT 1: 650 Q49 V30
Posts: 2,118
Kudos: 1,277
 [1]
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? 05 Nov 2015, 12:59
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
if xy different then 0, then x = 6y/5
1/5 of x is then 6y/25

ratio of x/5 to y/6 is thus:
6y/25 * 6/y
simplify by y, and get 36/25 -> B.
User avatar
Skywalker18
User avatar
Retired Moderator
Joined: 08 Dec 2013
Last visit: 15 Nov 2023
Posts: 1,973
Own Kudos:
10,172
Given Kudos: 171
Status:Greatness begins beyond your comfort zone
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Products:
My Reviews
Posts: 1,973
Kudos: 10,172
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? 05 Nov 2015, 18:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Since 5x=6y and xy<>0

We can pick numbers for x and y
x=6 and y=5

(1/5*x)/(1/6*y)
=36/25

Answer B
User avatar
asethi
User avatar
Joined: 08 Sep 2015
Last visit: 08 Jan 2016
Posts: 57
Own Kudos:
37
Given Kudos: 6
Status:tough ... ? Naaahhh !!!!
Location: India
Concentration: Marketing, Strategy
WE:Marketing (Computer Hardware)
Posts: 57
Kudos: 37
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? 05 Nov 2015, 22:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
5x = 6y
x/y = 6/5

1/5*x to 1/6*y = x/y * 6/5 = (6/5)^2=36/25

Ans: B
avatar
xLUCAJx
avatar
Joined: 22 Apr 2015
Last visit: 05 Jan 2020
Posts: 37
Own Kudos:
29
Given Kudos: 118
Location: United States
Schools: Ross Evening MBA"20 (A)
GMAT 1: 620 Q46 V27
GPA: 3.86
Schools: Ross Evening MBA"20 (A)
GMAT 1: 620 Q46 V27
Posts: 37
Kudos: 29
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? 06 Nov 2015, 06:17
Kudos
Add Kudos
Bookmarks
Bookmark this Post
skywalker18
Since 5x=6y and xy<>0

We can pick numbers for x and y
x=6 and y=5

(1/5*x)/(1/6*y)
=36/25

Answer B
Show more


How did you get the last part? When you plug in 6 in for X and 5 in for Y. you get 30/30?
User avatar
ENGRTOMBA2018
User avatar
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,319
Own Kudos:
3,890
 [1]
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
My Reviews
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
Posts: 2,319
Kudos: 3,890
 [1]
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? 06 Nov 2015, 06:23
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
xLUCAJx
skywalker18
Since 5x=6y and xy<>0

We can pick numbers for x and y
x=6 and y=5

(1/5*x)/(1/6*y)
=36/25

Answer B


How did you get the last part? When you plug in 6 in for X and 5 in for Y. you get 30/30?
Show more

When you substitute x=6 and y=5, you get

\(\frac{(1/5)*6}{(1/6)*5} = \frac {6/5}{5/6} = \frac{36}{25}.\)

Hope this helps.
User avatar
dreamer88
User avatar
Joined: 07 Oct 2023
Last visit: 30 Oct 2024
Posts: 3
Given Kudos: 138
Posts: 3
Kudos: 0
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? 18 Jun 2024, 23:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
5x=6y
6y/5x =1
(1/5x)/(1/6y)= 6y/5x =1
Where I'm doing wrong? Pls help. Thanks
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,830
Own Kudos:
811,282
 [2]
Given Kudos: 105,886
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,830
Kudos: 811,282
 [2]
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? 18 Jun 2024, 23:59
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
 
dreamer88

If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ?

(A) 25/6
(B) 36/25
(C) 6/5
(D) 5/6
(E) 25/36

5x=6y
6y/5x =1
(1/5x)/(1/6y)= 6y/5x =1
Where I'm doing wrong? Pls help. Thanks
Show more
­The ratio of 1/5*x to 1/6*y is \(\frac{(\frac{1}{5}*x)}{(\frac{1}{6}*y)}=\frac{x}{5}*\frac{6}{y}=\frac{6x}{5y}\), not \(\frac{6y}{5x}\).­ Since from the stem x/y = 6/5, then \(\frac{6x}{5y}=(\frac{6}{5})^2=\frac{36}{25}\).

Answer: B.

Hope it's clear.­
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,986
Own Kudos:
1,118
Posts: 38,986
Kudos: 1,118
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? 16 Oct 2025, 08:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109830 posts
Krunaal
Tuck School Moderator
852 posts