HEllo, here is Question 110 of the D.S. from O.g.
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
(1) if m is odd, the units digit is 1, 3, 5, 7, 9
96= 2*48= 2*2*24= 2*2*2*12=2*2*2*2*6
96= 1*96
96= 3*32= 3*4*8
5, 7, 9 we cannot consider them as they are not factors of 96.
so only 1 and 3 can be the units digits of integer m.
if units digit is 1, than we cannot explain 96 in 2 single digit factors.
if units digit is 3, than we can explain the other two factors in 8 and 4. SUFFICIENT!
(2) cannot say, it can be 3 or 4 NOT SUFFICIENT
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
(1) if m is odd, the units digit is 1, 3, 5, 7, 9
96= 2*48= 2*2*24= 2*2*2*12=2*2*2*2*6
96= 1*96
96= 3*32= 3*4*8
5, 7, 9 we cannot consider them as they are not factors of 96.
so only 1 and 3 can be the units digits of integer m.
if units digit is 1, than we cannot explain 96 in 2 single digit factors.
if units digit is 3, than we can explain the other two factors in 8 and 4. SUFFICIENT!
(2) cannot say, it can be 3 or 4 NOT SUFFICIENT
riba made
