Question

Seven friends P, Q, R, S, T, U, and V (boys and girls) are sitting on three benches I, II, and III. Such that at least one of them is on each bench and at least one girl is on each bench.

Who among the following must be a girl?

• A. P
• B. U
• C. V
• D. S

Answer 1

The correct option is A P

Let's mark the girls using purple boxes, the boys using green boxes, and the unidentified friend using a yellow box.

P sits on Bench $\text{I}$.
V sits on Bench $\text{III}$


U, who is a boy, sits with only Q.
It means that both U and Q sit on Bench $\text{II}$, because it is the only unoccupied bench.
Q is a girl because at least one girl sits on each bench.


R, who is a girl, does not sit with P, T, and S.
It means that R sits on Bench $\text{III}$ because Bench $\text{I}$ is occupied by P.
Hence, Bench $\text{I}$ is occupied by S and T.


S and T are the brothers of R.
So, S and T are boys.
It means that P must be a girl.


Hence, P, Q, and R must be girls.