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If the truth value of the statement `p to (~q vee r)` is false (F), then the truth values of the statements p,q and r are respectivelyA. T, T and FB. T, F and FC. T, F and TD. F, T and T |
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Answer» Correct Answer - A Key idea Use formula: `P to q = ~ p vee q` Given statement is `p to (~ q vee r)= ~ p vee (~ q vee r)` Now, from the options (a) When `p = T, q = T and r = F` then `~ p vee ( ~ q vee r) = F vee (F vee F) = F` (b) When `p = T, q = F and r = F` then ` ~ p vee ( ~ q vee r)=F vee (T vee F) = T` (c ) When `p = T, q = F and r = T` then `~ p vee ( ~ q vee r) = F vee (T vee T) =T` (d) When `p = F, q = T and r = T` then `~ p vee ( ~ q vee r) = T vee (F vee T)=T` |
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