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Problems on Numbers

Q1:
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 Both I and II are necessary to answer

ANS:A - I alone sufficient while II alone not sufficient to answer

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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