If statement (p → q) → (q → r) is false, then truth values of statements p,q,r respective

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If statement $(p \rightarrow q) \rightarrow (q \rightarrow r)$ is false, then truth values of statements $p,q,r$ respectively, can be-

A

$FTF$

B

$TTT$

C

$FFF$

D

$FTT$

Solution

$\mathrm{p} \rightarrow \mathrm{q}$ must be true and $ \mathrm{q} \rightarrow \mathrm{r}$ must be false

$\therefore$ $q$ must be true, $r$ must be false but $p$ can be true or false.

Standard 11

Mathematics

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