Question

In this question, you are given two statements. To answer this question, you can use one or both the statements.
a, b and c are the three digits of a number abc. abc is a multiple of 3. Find (a + b + C).
A. a3, b = 4.
B. C is an odd number.

• A. If statement A ALONE is sufficient to answer the given question, but statement B alone is not.
• B. If statement B ALONE is sufficient to answer the given question, but statement A alone is not.
• C. If both the statements TOGETHER are sufficient to answer the given question, but neither statement alone is sufficient.
• D. If both the statements are INDEPENDENTLY sufficient to answer the given question.

Answer 1

The Correct Option is C

If \(abc\) is a multiple of 3, then\((a+b+c)\)will also be multiple of 3
(A): \(a=3\) and \(b=4\)
\(3+4+c=3k,\) where \(k\) is a natural number.
Possible values of c=2,5,8
Thus, statement A alone is not sufficient.
(B) : If C is odd, there can be multiple values of the number, thus statement B alone is insufficient. By combining above statements together, we get the number as 345
∴ Both statements together are sufficient.
The correct answer is (C): If both the statements TOGETHER are sufficient to answer the given question, but neither statement alone is sufficient