MHT CET · Maths · Mathematical Reasoning
If statement I : If the work is not finished on time, the contractor is in trouble.
statement II : Either the work is finished on time or the contractor is in trouble. then
- A statement II is negation of statement I.
- B statement II is converse of statement I.
- C statement II and statement I are equivalent.
- D statement II is an inverse of statement I.
Answer & Solution
Correct Answer
(C) statement II and statement I are equivalent.
Step-by-step Solution
Detailed explanation
Let p : work is finished on time
q : contractor is in trouble
\(\therefore \quad\) Given statement is
\(\begin{aligned}
& \sim p \rightarrow q \\
& \equiv p \vee q
\end{aligned}\)
i.e., Either the work is finished on time or the contractor is in trouble.
q : contractor is in trouble
\(\therefore \quad\) Given statement is
\(\begin{aligned}
& \sim p \rightarrow q \\
& \equiv p \vee q
\end{aligned}\)
i.e., Either the work is finished on time or the contractor is in trouble.
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