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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)

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)

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.

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.

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.

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?

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