General Aptitude - 27.2 Problems on Numbers - Data Sufficiency 1 Free Online Tests | Mock Tests | Preparation | Practice Tests

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What is the two-digit 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. None of the above

View Answer

Correct choice: 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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