AP Police SI previous year question
A vessel has L₁:L₂ = 11:8. 9.5 litres of mixture removed and replaced with L₂; new ratio 11:12. Quantity of L₂ (litres) in final mixture is
Asked in AP Police SI Prelims: 2023 (Paper I & II) · Quantitative Aptitude
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Correct answer: (D) 28.5
Let total = V. Removing 9.5L in the 11:8 ratio removes 5.5L of L₁ and 4L of L₂. New L₁ = 11V/19−5.5, new L₂ = 8V/19+5.5. Setting ratio 11:12 and solving gives V = 54.625L, so L₂ = 8(54.625)/19 + 5.5 = 28.5.
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हिंदी में प्रश्न
एक बर्तन में L₁:L₂ = 11:8 है। 9.5 लीटर मिश्रण निकालकर उसके स्थान पर L₂ मिलाया जाता है; नया अनुपात 11:12 हो जाता है। अंतिम मिश्रण में L₂ की मात्रा (लीटर) है
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सही उत्तर: (D) 28.5
कुल मात्रा = V मान लें। 11:8 के अनुपात में 9.5 लीटर निकालने पर L₁ से 5.5 लीटर और L₂ से 4 लीटर निकलता है। नया L₁ = 11V/19−5.5, नया L₂ = 8V/19+5.5। अनुपात 11:12 रखकर हल करने पर V = 54.625 लीटर प्राप्त होता है, अतः L₂ = 8(54.625)/19 + 5.5 = 28.5।
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