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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:

 

(iii) (a) If Khushi decides to add 42 mangoes, how many maximum guests can she invite
1 5  
2 6  
3 4  
4 2  

Ans.

(2)

(a) When Khushi adds 42 mangoes also,

We have, 36 = 2² × 3²; 60 = 2² × 3 × 5; 42 = 2 × 3 × 7
⇒ HCF (36, 60, 42) = 2 × 3 = 6

∴ Number of guests Khushi can invite = 6.