Question

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

What is Rakesh in a group of four members?
I. Rakesh, Vimal and Sandeep are all of same age.
II. Total age of Vimal, Kunal and Sandeep is 32 years, and Kunal is as old as Vimal and Sandeep together.

• A. If the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question
• B. If the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question
• C. If the data either in Statement I alone or in Statement II alone is sufficient to answer the question
• D. If the data given in both the Statements I and II together is not sufficient to answer the question
• E. If the data in both the Statements I and II together are necessary to answer the question

Answer 1

The correct option is E If the data in both the Statements I and II together are necessary to answer the question

From Statement II,
Vimal + Kunal + Sandeep = 32 yrs
Kunal = Vimal + Sandeep
$\therefore$ Kunal + Kunal = 32 yrs
2 Kunal = 32
Kunal = 16 Yrs
and Vimal + Sandeep = 16 yrs
From Statement I,
Rakesh = Vimal = Sandeep
So, Vimal = 8 yr
Sandeep = 8 yr
Rakesh = 8 yr
$\therefore$ Both Statements I and II together are necessary to answer the question.