Q43 / 120 · VITEEE 2017 · Mathematics

Negation of the proposition : If we control population growth, we prosper

  • A
    If we do not control population growth, we prosper
  • B
    If we control population growth, we do not prosper
  • Correct answer
    C
    We control population but we do not prosper
  • D
    We do not control population, but we prosper

Solution

$\mathrm{p}$ : we control population, $\mathrm{q}$ : we prosper $\therefore$ we have $\mathrm{p} \Rightarrow \mathrm{q}$ Its negation is $\sim(\mathrm{p} \Rightarrow \mathrm{q})$ i.e. $\mathrm{p} \wedge \sim \mathrm{q}$ i.e., we control population but we do not prosper.

Hence, the correct answer is option: 'C'.

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