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Mathematical Logic — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsMathematical Logic2 Marks
MCQ
If p is false and q is true, then
  • A
    $\mathrm{p} \wedge \mathrm{q}$ is true
  • B
    $\mathrm{p} \vee \sim \mathrm{q}$ is true
  • C
    $\mathrm{q} \rightarrow \mathrm{p}$ is true
  • ✓
    $p \rightarrow q$ is true
✓

Answer

Correct option: D.
$p \rightarrow q$ is true
(D)
$\begin{array}{l} p \wedge q = F \wedge T = F \\ p \vee \sim q \equiv F \vee \sim T \equiv F \vee F \equiv F \\ q \rightarrow p \equiv T \rightarrow F \equiv F \\ p \rightarrow q \equiv F \rightarrow T \equiv T \end{array}$

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