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ITMC 2018 Grade 10 National Preliminary set01 Question 5

ITMC · ITMC 2018 Grade 10 National Preliminary set01

Question 5

$p\to(q\to r)$ is false. Consider (1) $p\leftrightarrow(q\leftrightarrow r)$; (2) $p\land(q\land r)$; (3) $p\lor(q\lor r)$. Which are false?
  1. (1) and (2) only
  2. (1) and (3) only
  3. (2) and (3) only
  4. All three
  5. Fewer than two are false