- Home
- Standard 11
- Mathematics
Mathematical Reasoning
hard
निम्न कथन $\left( {p \to q} \right) \to $ $[(\sim p\rightarrow q) \rightarrow q ]$
A
एक हेत्वाभास (fallacy) है
B
एक पुनरुक्ति (tautology) है
C
$\sim p \to q$ के समतुल्य है
D
$p \to \sim q$ के समतुल्य है
(JEE MAIN-2017)
Solution
| $p$ | $q$ | $ \sim p$ | $p \to q$ | $ \sim p \to q$ | $\left( { \sim p \to q} \right) \to q$ | $\left( {p \to q} \right) \to \left( {\left( { \sim p \to q} \right) \to q} \right)$ |
| $T$ | $F$ | $F$ | $F$ | $T$ | $F$ | $T$ |
| $T$ | $T$ | $F$ | $T$ | $T$ | $T$ | $T$ |
| $F$ | $F$ | $T$ | $T$ | $F$ | $T$ | $T$ |
| $F$ | $F$ | $T$ | $T$ | $T$ | $T$ | $T$ |
Standard 11
Mathematics
