Q. In a cricket team, the average age of eleven players in 28 years. What is the age of the captain?

I. The captain is eleven years older than the youngest player.

II. The average age of 10 players, other than the captain is 27.3 years.

III. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.

Option
A. Any two of the three
B. All I, II and III
C. II only or I and III only
D. II and III only
E. None of these

• Ans:c
  Average of 11 players=11*28=308
  average of 10 players=10*27.3=273
  Age of captain=308-273=35.
• 12 years agoHelpfull: Yes(9) No(1)
• Ans:C
  statment II is true as per the above solution given by priyadarshini.
  From the Statement I we can say that captain's age (C)=y+11 ..,wher y-youngers age
  From the statement III.,the averge age of 3grps of 3playrs each was given,
  it means total 9 players age was given indirectly.,
  1st group:25*3=75
  2nd group:28*3=84
  3rd group:30*3=90....Total 75+84+90=249
  Now C+Y+(9 players age sum)/11 = 28
  Y+11+Y+(249)=28*11=308
  2Y+260=308
  2Y=308-260=40==>Y=24==)C(captain's age)=Y+11=24+11=35
  
  Therefore statement II alone or I&III only is the answer. ANS:C
• 11 years agoHelpfull: Yes(8) No(1)
• Average age of 11 Players is=11*28=308
  Average age of 10 Players is=10*27.3=273
  So The Age Of Captain Is=308-273=35
  Ans C
• 10 years agoHelpfull: Yes(1) No(0)
• answer D
  //it means total 9 players age was given indirectly/
• 9 years agoHelpfull: Yes(1) No(0)