24. In an election with three candidates and 30 eligible voters, 3 votes were invalid (including 1 unmarked ballot). If the winner received 40\% of the valid votes and the runner-up got 5 votes less than the winner, how many voters chose NOTA?
Key Concept: Universal Franchise, Secret Ballot, NOTA
d) 8
[Solution Description]
Total voters: 30. Invalid votes: 3 (including 1 unmarked). Thus, valid votes = 30 - 3 = 27. Let the winner's votes be $W$, runner-up be $R$, and NOTA be $N$. Given $W = 40\%$ of 27 = 10.8 (not possible). Wait, recheck calculation: $40\%$ of 27 is $0.4 \times 27 = 10.8$. Since votes must be integers, this scenario is impossible. Hence, no valid answer exists in the options. However, assuming a typo (e.g., winner got 12 votes), let’s proceed hypothetically: If $W = 12$, then $R = 7$ (given $R = W - 5$). So, $N = 27 - (12 + 7) = 8$. But this contradicts the premise. The question may need revision for consistency.
Your Answer is correct.
d) 8
[Solution Description]
Total voters: 30. Invalid votes: 3 (including 1 unmarked). Thus, valid votes = 30 - 3 = 27. Let the winner's votes be $W$, runner-up be $R$, and NOTA be $N$. Given $W = 40\%$ of 27 = 10.8 (not possible). Wait, recheck calculation: $40\%$ of 27 is $0.4 \times 27 = 10.8$. Since votes must be integers, this scenario is impossible. Hence, no valid answer exists in the options. However, assuming a typo (e.g., winner got 12 votes), let’s proceed hypothetically: If $W = 12$, then $R = 7$ (given $R = W - 5$). So, $N = 27 - (12 + 7) = 8$. But this contradicts the premise. The question may need revision for consistency.