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In the below addition A, B, C, D, E, F, and G represent the

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by Brent@GMATPrepNow » Fri May 10, 2019 4:13 am
BTGmoderatorDC wrote:In the below addition A, B, C, D, E, F, and G represent the digits 0, 1, 2, 3, 4, 5 and 6. If each variable has a different value, and E ≠ 0, then G equals


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A. 2
B. 3
C. 4
D. 5
E. 6
If we add two 2-digit numbers and the sum is a 3-digit number, then the 3-digit number must start with a 1.
So, E = 1

In order for the sum to be a 3-digit number, A+C must be greater than 9
So, we have two options:
EITHER A and C are 5 and 6, OR A and C are 4 and 6
If A and C are 5 and 6, then F = 1, but we already know that E = 1
So, it MUST be the case that A and C are 4 and 6, which means F = 0

The three digits unaccounted for are 2, 3 and 5
Since we can see that B + D = G, it must be the case that G = 5

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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