CAMANISHPARMAR wrote:
If a and b are integers, and 2a + b = 17, then 8a + b cannot equal which of the following?
A) -1
B) 33
C) 35
D) 65
E) 71
We see that 8a + b is 6a more than 2a + b. So 8a + b = 17 + 6a. Since 6a is a multiple of 6, the difference between the answer choice (if it can be the value of 8a + b) and 17 must be a multiple of 6. The one that is not a multiple of 6 is the answer. Let’s analyze the choices.
A) -1 - 17 = -18 is a multiple of 6.
B) 33 - 17 = 16 is NOT a multiple of of 6.
(We see that
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