Allied & ICAR Exam Bank • ALLIED_1765 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Ratios & Percentages

Question Statement:

In an election, 10% of voters did not cast their vote and 10% of votes polled were declared invalid. The winning candidate got 54% of the valid votes and won by 1,620 votes. The total number of registered voters was:

Options:

  • (A) 25,000
  • (B) 20,000
  • (C) 30,000
  • (D) 22,500

Answer Key:

A

Step-by-Step Solution & Explanation

Valid votes $= V \times 0.90 \times 0.90 = 0.81 V$. Margin $= 54\% - 46\% = 8\%$ of valid votes. $0.08 \times 0.81 V = 1620 \implies 0.0648 V = 1620 \implies V = 25000$ voters.
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