CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard
You are here
CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard
Last updated at Aug. 25, 2025 by Teachoo
This question is similar to Chapter 1 Class 10 Real Numbers - Case Based Questions (MCQ)
Please check the question here
https://www.teachoo.com/12939/3536/Question-2/category/Case-Based-Questions/
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 = (𝑻𝒐𝒕𝒂𝒍 𝑷𝒂𝒓𝒕𝒊𝒄𝒊𝒑𝒂𝒏𝒕𝒔)/(𝑴𝒂𝒙 𝑷𝒂𝒓𝒕𝒊𝒄𝒊𝒑𝒂𝒏𝒕𝒔 𝒊𝒏 𝒐𝒏𝒆 𝒓𝒐𝒐𝒎) 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 × 2 × 3 × 3 60 = 2 × 2 × 3 × 5 84 = 2 × 2 × 3 × 7 Thus, HCF = 2 × 2 × 3 = 12 So, in each room, maximum 12 participants can be accommodated Thus, Minimum Number of rooms = (𝑇𝑜𝑡𝑎𝑙 𝑃𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡𝑠)/(𝑀𝑎𝑥 𝑃𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡𝑠 𝑖𝑛 𝑜𝑛𝑒 𝑟𝑜𝑜𝑚) = ((𝟑𝟔 + 𝟔𝟎 + 𝟖𝟒))/𝟏𝟐 = 180/12 = 15 rooms
