Mr. Baha Man had locked his pet dogs in his room and instructed his three sons – Woof, Arf and Grrr – to keep a watch over them while he was away. When he came back, he found that there were no dogs in the room. When he came to know that exactly one of his sons had let the dogs out, he angrily shouted at them, “WHO LET THE DOGS OUT?” Frightened, each son gave two replies to the question, as given below:
Woof : Arf did. Grrr didn’t.
Arf : I didn’t. Woof did.
Grrr : Woof didn’t. Arf didn’t.
If it is known that of the statements given by each son at least one was true, then which son let the dogs out?

A, B and C have a few chocolates among themselves. A gives to each of the other two half the number chocolates they already have. Similarly B and C (in that order) give each of the other two half the number of chocolates each of them already has. Now, if each of them has the same number of chocolates, what could be the minimum number of chocolates they have among themselves?

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?