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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

a b c + d e f -------- x y z If, in the addition problem [#permalink]
08 Aug 2006, 10:07

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 1 sessions

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

a b c
+
d e f
--------
x y z

If, in the addition problem above, a, b, c, d, e, f, x, y, and z each represent different positive single digits, what is the value of z ?

(1) 3a = f = 6y

(2) f â€“ c = 3

my question here is that it explicitly says that numbers ARE different, which is noted by different variables... if it didn't say so would it be correct to assume that some numbers could be equal?

Even if it is not implied that they are different single digits, due to the relationships given it would be difficult to come up with the same values for f/c/y/a.

c can be 3,4,5,7,8, 9 and b+e must be 10 or 11
if (b+e) is 10 then c = 4,5,7,8,9
for (b+e) to be 10 possible cases are (7,3)
so now we have
2 7 9
d 3 6
-------
x 1 5

4 and 8 are remaing for d and x. This is not possible.
So b+e must be 11. For that c must be 3 and z is 9: SUFF

St2:
f-c = 3
a b c
d e f
------------
x y z
pairs of (c,f) are (1,4) (2,5) (3,6) (4,7) (5,8) (6,9)

I did all of these and only combination that is working is (3,6): SUFF

c can be 3,4,5,7,8, 9 and b+e must be 10 or 11 if (b+e) is 10 then c = 4,5,7,8,9 for (b+e) to be 10 possible cases are (7,3) so now we have 2 7 9 d 3 6 ------- x 1 5

4 and 8 are remaing for d and x. This is not possible. So b+e must be 11. For that c must be 3 and z is 9: SUFF

St2: f-c = 3 a b c d e f ------------ x y z pairs of (c,f) are (1,4) (2,5) (3,6) (4,7) (5,8) (6,9)

I did all of these and only combination that is working is (3,6): SUFF

If, in the addition problem above, a, b, c, d, e, f, x, y, and z each represent different positive single digits, what is the value of z ?

(1) 3a = f = 6y

(2) f â€“ c = 3

my question here is that it explicitly says that numbers ARE different, which is noted by different variables... if it didn't say so would it be correct to assume that some numbers could be equal?

IMO, It's just A

All of those are single digit and '3a = f = 6y'
SO, y must be 1. otherwise f will be two digit number. then a=2 _________________

the thing is that in statement 1 the only possible value for y is 1, otherwise f will turn out to be two-digit number... if you put zero, then all numbers will equal to zero and that's not the case... cause they must differ
so if y=1, a=2 and we know that z-c=6... and only 1 pair of numbers satifies it z=9 and c=3... other pairs use 2 and 1, which were already used