MPSC Rajyaseva 2023 CSAT — Question 72
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ग्रंथालय असावे वा नसावे हे ठरवण्यासाठी निंबोली गावात जनमत घेण्यात आले. सर्व प्रौढांना मताधिकार होता. सर्वांनी एकत्र ग्रंथालय असावे म्हणून किंवा नसावे म्हणून मतदान केले किंवा मतदान केले नाही. स्थानिक वार्तापत्रामानुसार : 'मतदान केलेल्यांपैकी 80% नी ग्रंथालय असण्याच्या बाजूने मतदान केले' आणि 'गावच्या 80% प्रौढ मतदारांनी गावात ग्रंथालय असण्याच्या बाजूने मतदान केले नाही'. ग्रंथालय असण्याविघात असलेली गावातील प्रौढ मतदारांची टक्केवारी निवडा.
Let total adult voters = 100. The second statement says 80% did not vote in favour of the library, so only 20 people voted FOR it (x = 20). The first statement says that among everyone who actually cast a vote (for or against), 80% voted for it: x = 0.8(x + y), which gives x = 4y. With x = 20, y = 5 -- so 5 people voted against. The remaining 75 never voted at all. "Opposed to the library" specifically means people who voted against it (5 people), not everyone who simply didn't vote for it -- so the answer is exactly 5%.
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