At a dinner party every two guests used a bowl of 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. None of these

• A.60
  
  no. of rice bowl=x
  no. of dal bowl=y
  no. of meat bowl=z
  
  then, x+y+z=65(eq 1)
  
  also, 2x=3y=4z
  
  substituting value of y&z in terms of x in eq 1, x=30.
  
  as 1 rice bowl is shared between 2 guests, therefore there are 60 guests...
• 12 years agoHelpfull: Yes(10) No(1)
• A.60
  Consider total x guests
  (x/2) bowl of rice
  (x/3) bowl of dal
  (x/4) bowl of meat
  (x/2)+(x/3)+(x/4)=65
  6x+4x+3x=65*12
  x=(65/13)*12
  x=60
• 11 years agoHelpfull: Yes(8) No(0)