MHT CET · Maths · Mathematical Reasoning
The verbal statement of the same meaning, of the statement 'If the grass is green then it rains in July' is
- A The grass is not green and it does not rains in July.
- B The grass is not green or it rains in July.
- C If the grass is not green, then it does not rain in July.
- D The grass is not green if and only if it rains in July.
Answer & Solution
Correct Answer
(B) The grass is not green or it rains in July.
Step-by-step Solution
Detailed explanation
Let \(p:\) The grass is green
\(\mathrm{q}\) : If rains in July.
The logical form of given statement is \(\mathrm{p} \rightarrow \mathrm{q}\)
We know that \(\mathrm{p} \rightarrow \mathrm{q} \equiv \sim \mathrm{p} \vee \mathrm{q}\)
The grass is not green or it rains in July.
\(\mathrm{q}\) : If rains in July.
The logical form of given statement is \(\mathrm{p} \rightarrow \mathrm{q}\)
We know that \(\mathrm{p} \rightarrow \mathrm{q} \equiv \sim \mathrm{p} \vee \mathrm{q}\)
The grass is not green or it rains in July.
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