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GATE 2024 CY – 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

Valid vote shares: A 40%, B 25%, C 20%, D 15%.
  1. 45,000
  2. 49,500
  3. 51,750
  4. 54,000 A 40% B 25% C 20% D 15% Share of valid votes

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Correct answer: (B) 49,500

Explanation

**Step 1: valid votes.** Of the 1 15 000 votes cast, 5000 were invalid:
$$115\,000-5000=110\,000 .$$

**Step 2: share of B and C.** From the pie chart, B has 25% and C has 20% of the valid votes, so together
$$25\%+20\%=45\% .$$

**Step 3: votes.**
$$0.45\times110\,000=\mathbf{49\,500}.$$