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Question: Answered & Verified by Expert
The inverse of the statement
"If the surface area increase, then the pressure decreases.", is
MathematicsMathematical ReasoningMHT CETMHT CET 2023 (12 May Shift 1)
Options:
  • 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.
Solution:
1092 Upvotes Verified Answer
The correct answer is: If the surface area does not increase, then the pressure does not decrease.
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.

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