| Date | May Specimen | Marks available | 2 | Reference code | SPM.1.sl.TZ0.3 |
| Level | SL only | Paper | 1 | Time zone | TZ0 |
| Command term | Complete | Question number | 3 | Adapted from | N/A |
Question
Consider each of the following statements
\[p:Alex{\text{ }}is{\text{ }}from{\text{ }}Uruguay\]\[q:Alex{\text{ }}is{\text{ }}a{\text{ }}scientist\]\[r:Alex{\text{ }}plays{\text{ }}the{\text{ }}flute\]
Write the following argument in words
\[\neg r \Rightarrow (q \vee p)\]
[3]
a.
Complete the truth table for the argument in part (a) using the values below for \(p\) , \(q\) , \(r\) and \(\neg r\).
[2]
b.
The argument \(\neg r \Rightarrow (q \vee p)\) is invalid. State the reason for this.
[1]
c.
Markscheme
If Alex does not play the flute then he is either a scientist or from Uruguay. (A1)(A1)(A1) (C3)
Note: Award (A1) if… then, correct (A1) antecedent, (A1) correct consequent.
a.
(A1)(A1) (C2)
b.
Not all entries in the final column are T. (R1) (C1)
c.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
Syllabus sections
Topic 3 - Logic, sets and probability » 3.3 » Truth tables: concepts of logical contradiction and tautology.
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