Question

There are two houses of Parliament. One is Lok Sabha and the other one is Rajya Sabha and the member of Parliaments (MPs) in both the houses is 300 and 200 respectively. The average age of the members of Lok Sabha and Rajya Sabha is 40 years and 50 years respectively. A member of the Rajya Sabha, when elected for the Lok Sabha also, left the Rajya Sabha and becomes the member of the Lok Sabha. Thus the average age of both the houses increases. Which one of the following statements is true?

• A. The age of this member is greater than 50 years
• B. The age of this member is less than 40 years
• C. The age of this member is greater than 40 but less than 50 years
• D. none of these

Answer 1

The correct option is C The age of this member is greater than 40 but less than 50 years

$\begin{array}{ccc}& LokSabha& RajyaSabha\\ No.ofMPs& 300& 200\\ Ave.Age& 40& 50\end{array}$
Since when a member of Rajya Sabha joins the Lok Sabha and the average age of both the houses increases, it means the average age of this member must lie between 40 and 50. When the age of this member is greater than 40, the average age of Lok Sabha increases.
Again when the age of this member is less than 50, then after leaving it, the average age of the Rajya Sabha increases.