MHT CET · Maths · Mathematical Reasoning
The converse of "If 3 is a prime number, then 3 is odd." is
- A If 3 is odd then it is a prime number.
- B If 3 is not a prime number then 3 is even.
- C If 3 is a prime number then 3 is even.
- D If 3 is not a prime number then 3 is not odd.
Answer & Solution
Correct Answer
(A) If 3 is odd then it is a prime number.
Step-by-step Solution
Detailed explanation
Let \(\mathrm{p}: 3\) is a prime number,
\(\mathrm{q}: 3\) is odd
Given statement is \(\mathrm{p} \rightarrow \mathrm{q}\).
\(\therefore \quad\) converse is \(\mathrm{q} \rightarrow \mathrm{p}\)
i.e., If 3 is odd then it is a prime number.
\(\mathrm{q}: 3\) is odd
Given statement is \(\mathrm{p} \rightarrow \mathrm{q}\).
\(\therefore \quad\) converse is \(\mathrm{q} \rightarrow \mathrm{p}\)
i.e., If 3 is odd then it is a prime number.
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