TMUA 2016 Paper 2 Q4 — Worked Solution

P2·Logic & Quantifiers·6.0Official · 2016 · Q4

case-analysisexactly-one-truetruth-assignment

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?

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