GATE 2024 AR — Architecture – Question 5

General Aptitude · Quantitative Aptitude: Data Interpretation, 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

Diagram for GATE 2024 AR — Architecture question 5

45, 000
49, 500
51, 750
54, 000 A 40% B 25% C 20% D 15% Share of valid votes

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Show answer and explanation

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.**
$$0.45\times110\,000=\mathbf{49\,500}.$$

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