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Question

Data Interpretation Question on Data Sufficiency

Total amount of ₹38500 was distributed among Anuj, Sonam and Depak. How much does each get?
I. Anuj gets 29\frac{2}{9} of what the other two together get.
II. Sonam gets 311\frac{3}{11} of what the other two together get.

A

If statement I aone is sufficient but statement II along is not sufficient to answer the question.

B

If statement II aone is sufficient but statement I along is not sufficient to answer the question.

C

If both statements I and II together are required to answer the question but neither statement alone is sufficient

D

If statements I and II together are not sufficient to answer the question

Answer

If both statements I and II together are required to answer the question but neither statement alone is sufficient

Explanation

Solution

From the given question, Anuj(A) + Sonam(S) + Depak(D) = 38,500

From(i), A=29(S+D)=\frac{2}{9}(S+D)

A=29(38,500A)=\frac{2}{9}(38,500-A)

From the above equation we can find the amount received by Anuj

From (ii), S=311(A+D)=\frac{3}{11}(A+D)

S=311(38,500S)=\frac{3}{11}(38,500-S)

From the above equation we can find the amount received by Sonam
Now from the given question we can fine amount received by Depak also. So both the statements are required to answer the question.
Hence, option C is the correct answer.The correct option is (C): If both statements I and II together are required to answer the question but neither statement alone is sufficient