Instructions

Each question below 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.

Give answer a: if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.
Give answer b: if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.
Give answer c: if both statements A and B together are needed to answer the question.
Give answer d: if either the statement A alone or statement B alone is sufficient to answer the question.
Give answer e: if you cannot get the answer from the statements A and B together, but need even more data.

Question 138

What is the salary of B, in a group of A, B , C and D whose average salary is Rs. 62,880?
A. Total of the salary of A and C is exact multiple of 8.
B. Average of the salary of A. C and D is Rs. 61,665.

Solution

Average salary of the 4 persons = Rs. 62,880

=> Total salary = $$A + B + C + D = 62,880 \times 4 = 2,51,520$$ -----------(i)

Statement A : There is no information about the salary of D. Thus, we can't find the salary of B

Statement A alone is not sufficient.

Statement B : Average of A,C and D = Rs. 61,665

=> $$A + C + D = 61,665 \times 3 = 1,84,995$$ ----------------(ii)

Subtracting eqn (ii) from (i)

=> $$B = 2,51,520 - 1,84,995 = 66,525$$

Thus, statement B alone is sufficient.


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