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by mandeepak » Sun Oct 28, 2007 1:31 am
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.
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Source: — Data Sufficiency |
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by jangojess » Sun Oct 28, 2007 5:37 am
96 = 2^5 * 3 * 1...Single digits can be any type of combination of these factors.

stmt 1 - m is odd. For this to happen either 3 or 1 has to be in units place. If 1 is in units place then the prod of other 2 single digits shld be 96, which is impossible. If 3 is in units place then prod of other 2 single digits shld be 32, which is possible in two ways - 483 or 843. In both cases the units digit is 3.....So suff

stmt 2 - hundreds digit is 8, which means the prod of other 2 single digits is 12. Now the number can be in any of the following options
834, 843, 826, 862....The units digit cant be determined....So insuff....Ans is A.
Trying hard!!!
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