Question

The Given question is followed by two statements A and B. You are to determine whether the data given in the statements is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.
The ages of Shruti and Aditi are in the ratio of 14:11. What is the age of Shruti?
What is the three digit number?
A The three-digit number is exact multiple of 9.
B. The first and the third digit is 8.

• A. The statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
• B. The statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
• C. Both statements A and B together are needed to answer the question.
• D. Either the statement A alone or statement B alone is sufficient to answer the question.
• E. Cannot get the answer from the statement A and B together, but need even more data.

Answer 1

The Correct Option is C

Let the middle digit be represented by 'y'
The number is 8y8
Sum of the digits = 8 + y + 8 = 16 + y
For the number to be divisible by 9, (16 + y) must be divisible by 9
The possible values of y are:

• y = 2 (16 + 2 = 18, which is divisible by 9)

So, the three-digit number is 828
Final Answer: Both statements A and B together are needed to answer the question.
So the correct option is (C).