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Question

In each of the following questions, a question is followed by information given in three statements. You have to study the question along with the statement and decide the information given in which of the statements is necessary to answer the question.

What is the present age of mother?

I. The difference between the ages of mother and daughter is 45 years.

II. The present age of daughter is 1/4thof the present age of the mother.

III. The sum of the ages of mother and daughter is 75 years.

A Any two of them Correct Answer Incorrect Answer
B Only I and III Correct Answer Incorrect Answer
C Only I and II Correct Answer Incorrect Answer
D All I, II and III Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

From (II), Let the mother’s age be x and daughter’s age be (x )/4. From (I) &(II), x - (x )/4 = 45 (3x )/4 = 45 ∴x = 60 years. From (II) & (III), x + (x )/4 = 75 (5x )/4 = 75 ∴x = 60 years. From (I) & (III), x-y = 45 and x+y = 75 By solving will get the value of x i.e. the answer.

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