Directions: Below Question is followed by two statements A and B. You are to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

6 friends went market to buy clothes. They decided that A will pay for all dresses and others will share their expenses later. If total expense was Rs. 60, 000. What is the expense of C?

A. Total of the expenses of A and E is Rs. 25, 000.

B. Total of the expenses of B and F is Rs. 15, 600.

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 questions.

D Either the statement A alone or the statement B alone is sufficient to answer the question.

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

Solution

Correct Answer: Option E

Given, total expense was Rs. 60, 000

∴ A + B + C + D + E + F = 60, 000 eq (1)

Statement A Total of the expenses of A and E is Rs. 25, 000

∴ A + E = 25000 eq (2)

Statement B Total of the expenses of B and F is Rs. 15, 600.

∴ B + F = 15600 eq (3)

From eq 1, 2 and 3, we get

C + D = 19, 400

We can’t calculate expenses of C until we don’t know expenses of D. Thus, we need more data to solve the problem.

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