- 1) 45
- 2) 17
- 3) 75
- 4) 135

Answer : Option 2

Since , each room , the same number of participants , of the same language , are to be accommodated , their number in each room

HCF of 45 , 75 and 135

HCF ( 45 , 75 , 135 ) = 15

Each room accommodates 15 participants

\(\implies\) Total number of rooms required for English = \(\frac{45}{15}\) = 3

\(implies\) Total number of rooms required for German = \(\frac{75}{15}\) = 5

\(\implies\) Total number of rooms required for sanskrit = \(\frac{135}{15}\) = 9

\(\implies\) = Total number of rooms = \(3 + 5 + 9 = 17\)

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