. At a dinner party every two guests used a bowl of rice

rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them.

There were altogether 65 dishes. How many guests were present at the party?

A: 60

B: 65

C: 90

D: 100


Best Answer


Let the total number of guests present at the party be x.

Number of bowls of rice =x /2

Number of bowls of dal =x /3

Number of bowls of meat =x /4

Total number of dishes =65

⇒x /2+x /3+x /4=65

⇒6x+4x+3x /12=65

⇒13x=65 ×12

⇒x=65 ×12 /13

⇒x=5 ×12


So, there were 60 guests present in the party.

Final Answer:

Hence, the correct option is A i.e. 60.



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