Question

Following question consists of a few statements. You have to determine which of the given statements are sufficient to answer the question.
What is the present age of Arun?
S-1: The present age of Arun is half of his father
S-2: $5$ years ago ratio of age of Arun's father to his mother was $9:8$
S-3: Addition of father's present age and mother's present age is $95$

• A. S- 1 and S-2 are sufficient to answer the given question
• B. S-2 and S-3 are sufficient to answer the given question.
• C. S-1 and S-3 are sufficient to answer the given question.
• D. All the given statements are necessary to answer the given question.

Answer 1

The correct option is D All the given statements are necessary to answer the given question.

Here we don't need to find the exact answer of given question.

Let the present age of father and mother be $x$ and $y$ respectively.

$\bullet$ According to S-2 $\Rightarrow \frac{x-5}{y-5}=\frac{9}{8}$ ............ (i)

$\bullet$ According to S-1 $\Rightarrow x+y=95$ ............(ii)

To evaluate the values of $x$ and $y$ both equation (i) and eq. (ii) are necessary. After evaluating value of $x$ Arun's age can be deduced easily using statement $1$. Thus to answer the given question all the statements are required.