Direction:- Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. What is the product of ages of A and B? B is 7 years older than A B is 14 years old which is twice the age of A

Direction:- Below question is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose between the possible answers.

What is the product of ages of A and B?

B is 7 years older than A
B is 14 years old which is twice the age of A

A The statement I alone is sufficient to answer the question but the statement II alone is not sufficient

B The statement II alone is sufficient to answer the question but the statement I alone is not sufficient

C Both statements I and II together are necessary to answer the question

D Either to statement I alone or statement II alone is sufficient to answer the question

E You cannot get the answer from the statement I and II together but need even more data

Solution

Correct Answer: Option B

Let’s assume that the age of A is x years and that of B is years.

From statement I,

y = x + 7

∴ the product of their ages = xy = x × (x + 7)

∵ we don’t know the value of either of x, y or any other relation between them, we cannot find their product with the available information.

∴ The statement I alone is not sufficient to answer the question

From statement II,

y = 14

x = y/2

⇒ x = 14/2 = 7

Product of their ages = xy

⇒ Product of their ages = 7 × 14 = 98

∴ The statement II alone is sufficient to answer the question

Solution

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