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GATE 2024 DA – Question 5

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

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.

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

Figure: a pie chart of the share of valid votes: A 40%, B 25%, C 20%, D 15%.

  1. 45,000
  2. 49,500
  3. 51,750
  4. 54,000

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Correct answer: (B) 49,500

Explanation

The number of valid votes is $115000 - 5000 = 110000$. Candidates B and C together got $25\% + 20\% = 45\%$ of them, which is $0.45 \times 110000 = 49500$.