This question is similar to Chapter 1 Class 10 Real Numbers - Case Based Questions (MCQ)

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https://www.teachoo.com/12939/3536/Question-2/category/Case-Based-Questions/

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In a workshop, the number of teachers of English, Hindi and Science - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard

part 2 - Question 27 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

part 3 - Question 27 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Transcript

Question 27 In a workshop, the number of teachers of English, Hindi and Science are 36, 60 and 84 respectively. Find the minimum number of rooms required, if in each room the same number of teachers are to be seated and all of them being of the same subject.Now, Minimum Number of rooms = (š‘»š’š’•š’‚š’ š‘·š’‚š’“š’•š’Šš’„š’Šš’‘š’‚š’š’•š’”)/(š‘“š’‚š’™ š‘·š’‚š’“š’•š’Šš’„š’Šš’‘š’‚š’š’•š’” š’Šš’ š’š’š’† š’“š’š’š’Ž) We need to find Maximum Participants in one room Maximum number of participants in each room will be the HCF of 36, 60, 84 HCF of 60, 84, 108 So, 36 = 2 Ɨ 2 Ɨ 3 Ɨ 3 60 = 2 Ɨ 2 Ɨ 3 Ɨ 5 84 = 2 Ɨ 2 Ɨ 3 Ɨ 7 Thus, HCF = 2 Ɨ 2 Ɨ 3 = 12 So, in each room, maximum 12 participants can be accommodated Thus, Minimum Number of rooms = (š‘‡š‘œš‘”š‘Žš‘™ š‘ƒš‘Žš‘Ÿš‘”š‘–š‘š‘–š‘š‘Žš‘›š‘”š‘ )/(š‘€š‘Žš‘„ š‘ƒš‘Žš‘Ÿš‘”š‘–š‘š‘–š‘š‘Žš‘›š‘”š‘  š‘–š‘› š‘œš‘›š‘’ š‘Ÿš‘œš‘œš‘š) = ((šŸ‘šŸ” + šŸ”šŸŽ + šŸ–šŸ’))/šŸšŸ = 180/12 = 15 rooms

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