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Solution


Q.

Khushi wants to organise her birthday party. She is very health conscious, thus she decided to serve only fruits at the party. She has 36 apples and 60 bananas at home and decided to serve them. She does not want to discriminate among guests so she decided to distribute the fruits equally among all.

Based on the above information, answer the following questions:

 

(i) How many guests Khushi can invite at the most
1 12  
2 11  
3 10  
4 9  

Ans.

(1)

(i) Maximum number of guests is the HCF of 36 and 60.

⇒ 36 = 2² × 3² and 60 = 2² × 3 × 5
⇒ HCF (36, 60) = 2² × 3 = 12

∴ Maximum number of guests Khushi can invite = 12