Consider the following statements:
$(A)$ If $3+3=7$,then $4+3=8$.
$(B)$ If $5+3=8$,then the earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true,then $5+6=17$.
Which of the following statements is correct?

  • A
    $(A)$ is true while $(B)$ and $(C)$ are false.
  • B
    $(A)$ and $(C)$ are true while $(B)$ is false.
  • C
    $(A)$ and $(B)$ are false,while $(C)$ is true.
  • D
    $(A)$ is false but $(B)$ and $(C)$ are true.

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Similar Questions

Consider the following two statements :
$P :$ If $7$ is an odd number,then $7$ is divisible by $2.$
$Q :$ If $7$ is a prime number,then $7$ is an odd number.
If $V_1$ is the truth value of the contrapositive of $P$ and $V_2$ is the truth value of the contrapositive of $Q,$ then the ordered pair $(V_1, V_2)$ equals

Statement $-1$: The statement $A \to (B \to A)$ is equivalent to $A \to (A \vee B)$.
Statement $-2$: The statement $\sim [(A \wedge B) \to (\sim A \vee B)]$ is a tautology.

The simplest form of the following switching circuit is:

Consider the following statement patterns:
$A$. $(q \to p) \vee (p \to q)$
$B$. $(\sim p \vee \sim q) \leftrightarrow \sim (p \wedge q)$
$C$. $[(p \vee q) \wedge \sim p] \wedge \sim q$
$D$. $(p \wedge q) \wedge (\sim p \vee \sim q)$
Which of the following is correct?

Which of the following is not true?

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