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Mathematical Reasoning
easy
Consider the following three statements :
$(A)$ If $3+3=7$ then $4+3=8$.
$(B)$ If $5+3=8$ then earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true then $5+6=17$. Then, which of the following statements is correct?
A
$(A)$ and $(C)$ are true while $(B)$ is false
B
$(A)$ is true while $(B)$ and $(C)$ are false
C
$(A)$ is false, but $(B)$ and $(C)$ are true
D
$(A)$ and $(B)$ are false while $(C)$ is true
(JEE MAIN-2021)
Solution
Truth Table
| $P$ | $Q$ | $P \rightarrow Q$ |
| $T$ | $F$ |
$T$ |
| $T$ | $F$ | $F$ |
| $F$ | $T$ | $T$ |
| $F$ | $F$ | $T$ |
Standard 11
Mathematics
