tmua 2016 Q4

tmua · Uk · paper2 1 marks Proof
Five sealed urns, labelled P, Q, R, S, and T, each contain the same (non-zero) number of balls. The following statements are attached to the urns.
Urn P This urn contains one or four balls.
Urn Q This urn contains two or four balls.
Urn R This urn contains more than two balls and fewer than five balls.
Urn S This urn contains one or two balls.
Urn T This urn contains fewer than three balls.
Exactly one of the urns has a true statement attached to it.
Which urn is it?
& B & 4 & C
Five sealed urns, labelled P, Q, R, S, and T, each contain the same (non-zero) number of balls. The following statements are attached to the urns.

Urn P This urn contains one or four balls.

Urn Q This urn contains two or four balls.

Urn R This urn contains more than two balls and fewer than five balls.

Urn S This urn contains one or two balls.

Urn T This urn contains fewer than three balls.

Exactly one of the urns has a true statement attached to it.

Which urn is it?