GATE DA 2024 | Question 5

MCQ · 1 mark · −0.33

In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid.

Pie chart titled “Share of valid votes”: A 40%, B 25%, C 20% and D 15%.

Based on the data provided, the total number of valid votes received by the candidates B and C is

  1. Option A: 45,000
  2. Option B: 49,500 (correct)
  3. Option C: 51,750
  4. Option D: 54,000

Answer

(B)

Explanation

The chart shows shares of the valid votes, so remove the invalid ones first: 1,15,000 − 5,000 = 1,10,000 valid votes.

B and C together hold 25% + 20% = 45% of these: 0.45 × 1,10,000 = 49,500.

Option (C), 51,750, is the trap of taking 45% of all 1,15,000 votes cast, including the invalid ones.

Answer: B