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GATE DA 2024 Q5: Valid votes for two candidates from a pie chart

Question

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%, D 15%
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Based on the data provided, the total number of valid votes received by the candidates B and C is

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Answer: B (official GATE 2024 final answer key)

Concept used: Percentages of a total taken from a pie chart.

First step: Valid votes are 1,15,000−5,000=1,10,0001{,}15{,}000 - 5{,}000 = 1{,}10{,}000; B and C together have 25%+20%=45%25\% + 20\% = 45\% of them.

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Source: official GATE 2024 DA question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key

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