IB ACIO Grade II previous year question
Gopal's average in 12 papers is 83. Excluding highest (same in 2 papers) and lowest (same in 3 papers), remaining papers' average is 89, and highest−lowest = 39. If highest is 2 less and lowest is 6 more, find the average of 12 papers.
Asked in IB ACIO Grade II (16 Sep 2025 Shift 3) · Quantitative Aptitude
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Correct answer: (D) 84 1/6
Total of 12 papers originally = 83×12 = 996. Highest reduced by 2 (affects 2 papers → −4) and lowest increased by 6 (affects 3 papers → +18); net change = +14. New total = 996+14 = 1010; new average = 1010/12 = 84 1/6.
हिंदी में प्रश्न
12 पेपरों में गोपाल के औसत अंक 83 हैं। उच्चतम और निम्नतम अंकों को छोड़कर यदि उसे दो पेपरों में समान उच्चतम अंक और तीन पेपरों में समान निम्नतम अंक मिले, तो शेष पेपरों का औसत 89 है, और उच्चतम-निम्नतम का अंतर 39 है। यदि उच्चतम 2 अंक कम है और निम्नतम 6 अंक अधिक है, तो 12 पेपरों का औसत ज्ञात करें।
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सही उत्तर: (D) 84 1/6
मूल कुल = 83×12 = 996। उच्चतम में 2 की कमी (2 पेपर पर असर → −4) और निम्नतम में 6 की वृद्धि (3 पेपर पर असर → +18); शुद्ध परिवर्तन = +14। नया कुल = 996+14=1010; नया औसत = 1010/12 = 84 1/6।
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