Question

The Given following 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.
What is the age of C, in a group of A, B, C, D, E and F whose average age is 26 years?
A Total of the ages of A and F is 48 years.
B. Total of the ages of B and D is 62 years.

• 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

Answer: (E)

Cannot get the answer from the statement A and B together, but need even more data.

Answer 2

We know the average age of the group is 26 years and there are 6 people in the group
Total age of the group $= 26 \times 6 = 156$
To find the age of C, we need the sum of the ages of all other members of the group
Even with both statements A and B, we only know the combined ages of A, B, D and F. We do not have any information about the ages of C and E
Final Answer: You cannot get the answer from statements A and B together but need even more data.
The Correct option is(E)