Complete the truth table below.

State whether the statement \((p \wedge q) \Rightarrow (\neg p \underline \vee q)\) is a logical contradiction, a tautology or neither.

Give a reason for your answer to part (b)(i).

     (A1)(A1)(A1)(ft)(A1)(ft)     (C4)

Notes: Award (A1) for each correct column.

            Award first (A1)(ft) from their third column in the table.

            Award second (A1)(ft) from their fourth and fifth column in the table.

[4 marks]

Tautology     (A1)(ft)     (C1)

Note: Answer must be consistent with last column in table.

[1 mark]

All entries (in the final column) are true.     (R1)(ft)     (C1) 

Note: Answer must be consistent with their answer to part (b)(i).

Note: Special case (A1)(R0) may be awarded.

[1 mark]

Weaker candidates had some difficulty here with the majority scoring less than 2 marks on this question. The more confident candidates were able to score well with most marks being lost only on completing the truth table for \((\neg p \underline \vee q)\). As a consequence, the final column entries of the table were often incorrect but earned the (A1)(ft) mark. Many candidates went on to correctly identify the correct (ft) response to (b)(i) and were able to support their answer with a correct reason.

Weaker candidates had some difficulty here with the majority scoring less than 2 marks on this question. The more confident candidates were able to score well with most marks being lost only on completing the truth table for \((\neg p \underline \vee q)\). As a consequence, the final column entries of the table were often incorrect but earned the (A1)(ft) mark. Many candidates went on to correctly identify the correct (ft) response to (b)(i) and were able to support their answer with a correct reason.

Weaker candidates had some difficulty here with the majority scoring less than 2 marks on this question. The more confident candidates were able to score well with most marks being lost only on completing the truth table for \((\neg p \underline \vee q)\). As a consequence, the final column entries of the table were often incorrect but earned the (A1)(ft) mark. Many candidates went on to correctly identify the correct (ft) response to (b)(i) and were able to support their answer with a correct reason.