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ds #96

by pradeepkaushal9518 » Wed Sep 01, 2010 12:45 am
the product of unit digit,the ten digit.and the hundred units of the positive integer m is 96.what is the unit digit of m?
1.m is odd
2.the hundred digit of m is 8
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by sirisha.g » Wed Sep 01, 2010 1:45 am
IMO C
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by Rahul@gurome » Wed Sep 01, 2010 1:50 am
Solution:
Now 96 is the product of 3 single digit numbers.
96 = 12 * 8 = 3*4*8 = 2*6*8 =4*4*6.
So the units digit, tens digit and hundreds digit can be either 3, 4 and 8 or 2, 6 or 8 or 4, 4, 6 in any order.
Consider first statement (1) alone.
m is odd.
So the units digit of m is odd.
Only possibility is 3 from the combination of 3, 4 and 8.
So (1) alone is sufficient.

Next consider (2) alone.
The hundreds digit is 8.
So any of the 2 combinations 3, 4, 8 or 2, 6, 8 are possible.
So if hundreds digit is 8, units and tens digit can be any of 2, 3, 4 or 6.
Since we do not get a unique answer, (2) alone is not sufficient.

The correct answer is (A).
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by ymach3 » Wed Sep 01, 2010 4:34 am
One more for C...

(i) can give you two numbers 483 or 843..... insuff

as explained by Rahul, (ii) is INSuff...

(i) & (ii) gives a unique number - 843

Hence C.... correct me if i am wrong....
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by pradeepkaushal9518 » Wed Sep 01, 2010 4:56 am
answer is not C its A only thanks rahul now it clear to me
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by Rahul@gurome » Wed Sep 01, 2010 5:32 am
One more for C...

(i) can give you two numbers 483 or 843..... insuff

as explained by Rahul, (ii) is INSuff...

(i) & (ii) gives a unique number - 843

Hence C.... correct me if i am wrong
They want the units digit and not the number. Both in 483 and in 843, units digit is 3.
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