SajjadAhmad
If a + b + c = 36, what is the value of abc ?
(1) a, b, and c are consecutive even integers.
(2) a, b, and c are distinct positive integers.
Dear
SajjadAhmad,
I'm happy to to respond.
This is an intriguing question, but are you sure you posted the correct OA? Or did you reverse the order of the statements?
Statement #1:
a, b, and c are consecutive even integers.
The only possibility that works is {a, b, c} = {10, 12, 14}. Those three integers have whatever product they have: since there's only one triplet of numbers that works, there's only one possible product. Statement #1, alone and by itself, is
sufficient.
Now, forget all about statement #1.
Statement #2:
a, b, and c are distinct positive integers.
Case #1: {a, b, c} = {1, 2, 33}, product = 66
Case #2: {a, b, c} = {1, 10, 25}, product = 250
Two different sets create two different products. We cannot determine a unique answer to the prompt. Statement #2, alone and by itself, is
not sufficient.
OA =
(A) SajjadAhmad, please check the answer and update it if needed.
Mike McGarry