MHT CET · Maths · Mathematical Reasoning
The inverse of the statement
"If the surface area increase, then the pressure decreases.", is
- A If the surface area does not increase, then the pressure does not decrease.
- B If the pressure decreases, then the surface area increases.
- C If the pressure does not decreases, then the surface area does not increase.
- D If the surface area does not increase, then the pressure decreases.
Answer & Solution
Correct Answer
(A) If the surface area does not increase, then the pressure does not decrease.
Step-by-step Solution
Detailed explanation
Let \(\mathrm{p}\) : The surface area increases
\(q\) : The pressure decreases
Given statement is \(\mathrm{p} \rightarrow \mathrm{q}\)
\(\therefore \quad\) It's inverse is \(\sim \mathrm{p} \rightarrow \sim \mathrm{q}\)
\(\therefore \quad\) Option (A) is correct.
\(q\) : The pressure decreases
Given statement is \(\mathrm{p} \rightarrow \mathrm{q}\)
\(\therefore \quad\) It's inverse is \(\sim \mathrm{p} \rightarrow \sim \mathrm{q}\)
\(\therefore \quad\) Option (A) is correct.
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