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  • 4 years ago

in an examination paper of 5 questions,5% answered all and 5% none. Of the rest 25% answered only 1 question, 20% answered 4 questions. If 24.5% of the whole answered 2 questions and 200 answered only 3 questions, how many candidates competed?” 720,680,980,800

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  1. anonymous
    • 4 years ago
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    .05x+.05x+.25(1-.10)x+.20(1-.10)x+.245x+200=x .75x+200=x x-.75x=200 .25x=200 x=800 The 1-.10 comes from the 25% and 20% of the remainder of the students after accounting for the first 10% that are excluded by the wording of the problem. In other words only 25% of 90% answered 1 question, and 20% of 90% answered 4 questions

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