It is currently 11 Dec 2017, 04:41

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# a b c d e f ----- x y z If, in the addition problem above,

Author Message
Senior Manager
Joined: 05 Jan 2006
Posts: 381

Kudos [?]: 94 [0], given: 0

a b c d e f ----- x y z If, in the addition problem above, [#permalink]

### Show Tags

05 May 2006, 22:43
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

Kudos [?]: 94 [0], given: 0

VP
Joined: 29 Dec 2005
Posts: 1337

Kudos [?]: 70 [0], given: 0

### Show Tags

21 May 2006, 07:31
chiragr wrote:
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

go with D. the only values that work for c and f are 3, and 6 respectively...

Kudos [?]: 70 [0], given: 0

Director
Joined: 16 Aug 2005
Posts: 937

Kudos [?]: 31 [0], given: 0

Location: France

### Show Tags

21 May 2006, 08:20
with (1) we know f=6

from (2) we know c=3, so C looks good.

Prof, D is quite possible if we put in more time on figuring out what the other #s can be.. but can you explain the steps how you got it or did you just make an intellectual guess ( which we know you are very good at)

Kudos [?]: 31 [0], given: 0

Manager
Joined: 27 Jan 2006
Posts: 156

Kudos [?]: 4 [0], given: 0

Location: Europe

### Show Tags

21 May 2006, 08:39
Professor wrote:
chiragr wrote:
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

go with D. the only values that work for c and f are 3, and 6 respectively...

D it is....anyhow prof. c and f can be 2 and 5 regarding only (B)....z is same though...
_________________

Stay hungry, Stay foolish

Kudos [?]: 4 [0], given: 0

Director
Joined: 24 Oct 2005
Posts: 658

Kudos [?]: 16 [0], given: 0

Location: London

### Show Tags

21 May 2006, 09:08
I go with C.

Statement 1: From this we get f =6, a=2, y=1 . Not sufficient for z.

Statement 2: f=c+3. This can give a few values.

Combining these, we get z = 9

Kudos [?]: 16 [0], given: 0

Manager
Joined: 27 Jan 2006
Posts: 156

Kudos [?]: 4 [0], given: 0

Location: Europe

### Show Tags

21 May 2006, 12:39
remgeo wrote:
I go with C.

Statement 1: From this we get f =6, a=2, y=1 . Not sufficient for z.

Statement 2: f=c+3. This can give a few values.

Combining these, we get z = 9

hm..Thanx....Statement 1 is not sufficient
but Statement 2 is sufficient.
cuz z is positive single digits, (f,c) can be
(4,1) (5,2) (6,3) (7,4) (8,5) (9,6)

so c-f = 7 always

So, B
_________________

Stay hungry, Stay foolish

Kudos [?]: 4 [0], given: 0

Manager
Joined: 27 Jan 2006
Posts: 156

Kudos [?]: 4 [0], given: 0

Location: Europe

### Show Tags

21 May 2006, 12:40
oops....

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

it's addition problem. sorry it's C
_________________

Stay hungry, Stay foolish

Kudos [?]: 4 [0], given: 0

VP
Joined: 29 Dec 2005
Posts: 1337

Kudos [?]: 70 [0], given: 0

### Show Tags

21 May 2006, 19:35
did you guys, put the diffent digit values for other variables too?

if you go after only c, f and z, yes it is C but if go after all values, only 3, 6, and 9 work for c, f and z.

in both circumstances, z is 9.

Kudos [?]: 70 [0], given: 0

Senior Manager
Joined: 15 Mar 2005
Posts: 418

Kudos [?]: 29 [0], given: 0

Location: Phoenix

### Show Tags

21 May 2006, 19:42
Professor wrote:
did you guys, put the diffent digit values for other variables too?

if you go after only c, f and z, yes it is C but if go after all values, only 3, 6, and 9 work for c, f and z.

in both circumstances, z is 9.

Can you please explain prof, how can you deduce the answers from either 1 or 2?

I honestly can't think of any answer other than C.
_________________

Who says elephants can't dance?

Kudos [?]: 29 [0], given: 0

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5032

Kudos [?]: 456 [0], given: 0

Location: Singapore

### Show Tags

21 May 2006, 19:54
St2:
f-c = 3
Can be (f,c) = (3,0), (4,1), (5,2).... (9,6)
Insufficient.

St1:
Since all the values are single digits, y must be 1. If y = 2, f will be a double digit number. But we have no information abotu c, so we cannot derive z. Insufficient.

Using St1 and St2:
we know f = 6, c = 3 and z = 9. Sufficient.

Ans C

Kudos [?]: 456 [0], given: 0

VP
Joined: 29 Dec 2005
Posts: 1337

Kudos [?]: 70 [0], given: 0

### Show Tags

21 May 2006, 20:27
kapslock wrote:
Professor wrote:
did you guys, put the diffent digit values for other variables too?
if you go after only c, f and z, yes it is C but if go after all values, only 3, 6, and 9 work for c, f and z.

in both circumstances, z is 9.

Can you please explain prof, how can you deduce the answers from either 1 or 2?
I honestly can't think of any answer other than C.

how could you fill the values for all variables?

Quote:
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

from i, y = 1, a = 2, f = 6. lets put these values:

2 b c
d e 6
-----
x 1 z

the following is the only way to have the different single digit values for these variables. however, the values for some variables can be changed, the value of z remains 9.

2 7 3
5 4 6
-----
8 1 9
hope this helps....

same applies with ii.

Kudos [?]: 70 [0], given: 0

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5032

Kudos [?]: 456 [0], given: 0

Location: Singapore

### Show Tags

21 May 2006, 20:31
Professor wrote:
kapslock wrote:
Professor wrote:
did you guys, put the diffent digit values for other variables too?
if you go after only c, f and z, yes it is C but if go after all values, only 3, 6, and 9 work for c, f and z.

in both circumstances, z is 9.

Can you please explain prof, how can you deduce the answers from either 1 or 2?
I honestly can't think of any answer other than C.

how could you fill the values for all variables?

Quote:
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

from i, y = 1, a = 2, f = 6. lets put these values:

2 b c
d e 6
-----
x 1 z

the following is the only way to have the different single digit values for these variables. however, the values for some variables can be changed, the value of z remains 9.

2 7 3
5 4 6
-----
8 1 9
hope this helps....

same applies with ii.

2+6, 1+6, 0+6, 3+6 all end up with single digits for z.

Kudos [?]: 456 [0], given: 0

VP
Joined: 29 Dec 2005
Posts: 1337

Kudos [?]: 70 [0], given: 0

### Show Tags

21 May 2006, 20:32
ywilfred wrote:
St2:
f-c = 3
Can be (f,c) = (3,0), (4,1), (5,2).... (9,6)
Insufficient.

St1:
Since all the values are single digits, y must be 1. If y = 2, f will be a double digit number. But we have no information abotu c, so we cannot derive z. Insufficient.

Using St1 and St2:
we know f = 6, c = 3 and z = 9. Sufficient.

Ans C

0 is not +ve digit.
you guys are considering only c, f and z but not other variables.

the question is "how to assign the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 to the variables a, b, c, d, e, f, x, y and z?

Kudos [?]: 70 [0], given: 0

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5032

Kudos [?]: 456 [0], given: 0

Location: Singapore

### Show Tags

21 May 2006, 21:06
missed out the positive part and the different digits part...

Kudos [?]: 456 [0], given: 0

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5032

Kudos [?]: 456 [0], given: 0

Location: Singapore

### Show Tags

21 May 2006, 22:35
St2:
f-c = 3
Can be (f,c) = (9,6) (8,5) (7,4) (6,4) (5,2) (4,1)

(8,5) (7,4) (6,4) (5,2) (4,1) --> all are out as this will not allow a, b, c, d, e, f, x, y, and z to be represented by unique single digits

Sufficient.

St1:
We know y = 1, f = 6, then a = 2. Now we have

2 b c
d e 6
-----
x y z

If c is some other value other than 3, then b,e,d,x, and y cannot be represented by unique single digits.

E.g If C = 1,

Then we have

2 b 1
d e 6
-----
x y 7

So we have 3,4,5,8,9

We know 3 cannot be added to 4 as 7 is already used for z. But we can add 3+5 to get 8.

2 3 1
d 5 6
-----
x 8 7

Now 4,9 are left.

2+4 cannot be equal to 9 and 9+2 cannot be equal to 4 and is not valid as it results in a double digit number.

Ans D

Kudos [?]: 456 [0], given: 0

Manager
Joined: 11 Oct 2005
Posts: 94

Kudos [?]: 4 [0], given: 0

### Show Tags

22 May 2006, 08:54
One more for D

3a = f
2a=6y
f=6y

so we know y =1, a = 2, f =6

since we are told they are single DISTINCT positive digits, we know C cannot be 1 or 2, the only other thing that works is C=3. So I is sufficient

II. f-c=3

same logic

Kudos [?]: 4 [0], given: 0

Senior Manager
Joined: 08 Jun 2004
Posts: 494

Kudos [?]: 95 [0], given: 0

Location: Europe

### Show Tags

22 May 2006, 11:15
Prof, perfect explanation.

Kudos [?]: 95 [0], given: 0

22 May 2006, 11:15
Display posts from previous: Sort by

# a b c d e f ----- x y z If, in the addition problem above,

Moderator: chetan2u

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.