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15 Feb 2008, 03:51
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3 v y v
+ v y v z
_____________
c b c d
In the sum above, each letter represents a digit from 0 to 9. What is the value of c if z = v + 3 and y = v - 3?
(1) b 7
+ v y v z
_____________
c b c d
In the sum above, each letter represents a digit from 0 to 9. What is the value of c if z = v + 3 and y = v - 3?
(1) b 7
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I don't see 'a' anywhere in the question. I assume the result is 'a b c d'?
Is the answer B?
--
[3*1000 + 100*v + 10*y + v] + [1000*v + 100*y + 10*v + z]
= 2673+1222v
B) z > 7 implies v can be 5 or 6 (with 6 we have thou digit > 9) - SUFF
A) b < c - results in more than one value for a
--
result will be 8783 if a=c
Is the answer B?
--
[3*1000 + 100*v + 10*y + v] + [1000*v + 100*y + 10*v + z]
= 2673+1222v
B) z > 7 implies v can be 5 or 6 (with 6 we have thou digit > 9) - SUFF
A) b < c - results in more than one value for a
--
result will be 8783 if a=c
15 Feb 2008, 04:41
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This is a tough 'un. First of all I'm guessing the sum is abcd, not cbcd as you wrote.
(1) b<c, Since the sums that lead to b and c are identical (y+v in the tens place and v+y in the hundreds place), the only way that this can happen is if the sum in the units place (v+z) is at least 10, and y+v is less than 10. This means that v+z = v+ (v+3) = 2v+3 > 10. Also we know that v+y = v+(v-3)=2v-3 < 10. This doesn't tell us what v is, only that v is between 4 and 6. Not suff.
(2) z>7, since z=v+3 this means that v>4. Again not suff.
Taking them together all we know is that v is either 5 or 6. But there is no way to know exactly what is a=v+3.
I think the answer is (E).
(1) b<c, Since the sums that lead to b and c are identical (y+v in the tens place and v+y in the hundreds place), the only way that this can happen is if the sum in the units place (v+z) is at least 10, and y+v is less than 10. This means that v+z = v+ (v+3) = 2v+3 > 10. Also we know that v+y = v+(v-3)=2v-3 < 10. This doesn't tell us what v is, only that v is between 4 and 6. Not suff.
(2) z>7, since z=v+3 this means that v>4. Again not suff.
Taking them together all we know is that v is either 5 or 6. But there is no way to know exactly what is a=v+3.
I think the answer is (E).
