A team of 3 boys and 2 girls is to be selected from five boys – A, B, C, D and E and four girls – P, Q, R, and S, as per the following restrictions.

A can be selected only if Q is selected

Exactly one of C and D must be selected.

B and S cannot be selected together.

Exactly one of E and R must be selected.

If E is selected, then who among the following must be selected?

If log₃2, log₃(2^x – 5), log₃(2^x – 7/2) are in arithmetic progression, then the value of x is equal to

The sum of 3^rd and 15^th elements of an arithmetic progression is equal to the sum of 6^th, 11^th and 13^th elements of the same progression. Then which element of the series should necessarily be equal to zero?