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GMAT 1: 760 Q51 V42
Posts: 10,057
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
58% (02:04) correct
42%
(02:25)
wrong
based on 381
sessions
History
Date
Time
Result
Not Attempted Yet
Company A has x mailing lists and Company B has y mailing lists. If the total mailing lists’ number combined Company A and Company B is equal to 3 times the mailing lists’ number of Company A, what is the number of mailing lists that both Company A and Company B have, in terms of x and y?
A. 2x-y
B. y-2x
C. 3x+y
D. y+2x
E. y-3x
*An answer will be posted in 2 days.
A. 2x-y
B. y-2x
C. 3x+y
D. y+2x
E. y-3x
*An answer will be posted in 2 days.
Posts: 18
a - lists that are only part of Company A ( A not B )
b - lists that are only part of Company B ( B not A )
c - lists that are part of both company A & B ( This is the overlap portion of the venn diagram)
X mailing lists = a + c
Y mailing lists = b + c
Total = X + Y - Both = a+c + b+c - c = a+b+c
As per the question
a+b+c = 3(a+c) --> b = 2(a + c) --> b = 2X
Y = 2X + c
c = Y-2X
b - lists that are only part of Company B ( B not A )
c - lists that are part of both company A & B ( This is the overlap portion of the venn diagram)
X mailing lists = a + c
Y mailing lists = b + c
Total = X + Y - Both = a+c + b+c - c = a+b+c
As per the question
a+b+c = 3(a+c) --> b = 2(a + c) --> b = 2X
Y = 2X + c
c = Y-2X
GMAT 1: 760 Q51 V42
Posts: 10,057
(x-b)+b+(y-b)=3x, x+y-b=3x , therefore b=y-2x. Hence, the correct answer is B.
Attachments
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MathRevolution
\(?\,\, = {\rm{both}}\,\,\, = \,\,\,f\left( {x,y} \right)\)
\(x + y - {\rm{both}} = 3x\,\,\,\,\,\,\left[ {\,{\rm{simplifier}}\,} \right]\,\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\,?\,\, = \,\,y - 2x\,\,\,\,\,\)
This solution follows the notations and rationale taught in the GMATH method.
Regards,
Fabio.
Posts: 52
Hi MathRevolution
The sentence "If the total mailing lists’ number combined Company A and Company B is equal to 3 times the mailing lists’ number of Company A" was quite ambiguous for me.
After giving it some thought, I understood the answer, but I'm not sure I wont repeat my mistake.
Could you please tell me where I got wrong if I read it as X+Y=3X?
Thank you!
The sentence "If the total mailing lists’ number combined Company A and Company B is equal to 3 times the mailing lists’ number of Company A" was quite ambiguous for me.
After giving it some thought, I understood the answer, but I'm not sure I wont repeat my mistake.
Could you please tell me where I got wrong if I read it as X+Y=3X?
Thank you!
Posts: 1,324
I apologize, I’m finding it difficult to understand what the question is trying to say....
Only after looking at a response was I able to understand what was written.
Posted from my mobile device
Only after looking at a response was I able to understand what was written.
Posted from my mobile device
ravi1522
Joined: 05 Jan 2023
Last visit: 16 Sep 2026
Posts: 185
Location: India
Concentration: General Management, General Management
Schools: INSEAD Jan '26
GMAT Focus 1: 595 Q80 V83 DI76 
GMAT 1: 530 Q38 V24
GPA: 7.2
WE:Design (Real Estate)
Products:
Hello ,
mailing lists that both Company A and Company B have let be Z
Then Only A =X-Z
Only B = Y-Z
given that combined A and B is 3 times A
X-Z+Z+Y-Z=3X
Z=Y-2X
Hence Option B is correct
mailing lists that both Company A and Company B have let be Z
Then Only A =X-Z
Only B = Y-Z
given that combined A and B is 3 times A
X-Z+Z+Y-Z=3X
Z=Y-2X
Hence Option B is correct
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