Discussion :: Problems on Numbers

What is the twodigit number whose first digit is a and the second digit is b?. The number is greater than 9.
I.
The number is multiple of 51.
II.
The sum of the digits a and b is 6.
A.
I alone sufficient while II alone not sufficient to answer 

B.
II alone sufficient while I alone not sufficient to answer 

C.
Either I or II alone sufficient to answer 

D.
Both I and II are not sufficient to answer 

E.

Answer : Option A
Explanation :
From statement I:
A two digit number, greater than 9 and multiple of 51 should be 51 itself.
Because, 2 x 51 = 102 (3 digit number). Therefore, I alone sufficient to answer.
From statement II:
A two digit number, greater than 9 and sum of the digit is 6.
It can be 15, 24, 33, 42, 51. So we cannot determine the required answer from the statement II alone.
Thus, I alone give the answer while II alone not sufficient to answer.
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