The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96.
What is the units digit of m?
(1) m is odd.
(2) The hundreds digit of m is 8.
set 28 Q 11
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Is the answer A?
Because 96 = 32*3 and the only way for M to be odd, is when the unit digit is 3. (the unit digit of M cannot be 1 in this case because 96 cannot be a product of 2 unit integers--the higest product of two unit integers is 81 = 9*9)
Information in (2) is sufficient because even if the hundredth digit is 8, it could be 834 or 843, we still don't know the unit digit.
Because 96 = 32*3 and the only way for M to be odd, is when the unit digit is 3. (the unit digit of M cannot be 1 in this case because 96 cannot be a product of 2 unit integers--the higest product of two unit integers is 81 = 9*9)
Information in (2) is sufficient because even if the hundredth digit is 8, it could be 834 or 843, we still don't know the unit digit.