set 28 Q 11

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 144
Joined: Fri Apr 13, 2007 2:25 am

set 28 Q 11

by radhika1306 » Mon Sep 17, 2007 6:47 pm
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.

Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Mon Sep 17, 2007 6:43 pm

by Gabby1 » Mon Sep 17, 2007 6:58 pm
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.

Master | Next Rank: 500 Posts
Posts: 321
Joined: Tue Aug 28, 2007 5:42 am
Thanked: 1 times