What is the value of a^3 + b^3 ?
(I) a^2 + b^2 = 22
(II) ab=3
(a) A (b) B (c) C (d) D

• a^3 + b^3=(a+b)(a^2-ab+b^2)
  (a+b)^2=a^2+2ab+b^2
  by solving 2nd equation=>(a+b)=(28)^1/2
  by putting in equation 1 we get=>RHS=(28)^1/2*(22-3)=>100.53
  
• 9 years agoHelpfull: Yes(14) No(0)
• a^3 + b^3 = (a+b)(a^2 +b^2 -ab)
  =(a+b)(22-3)
  =(a+b)19
  
  (a+b)^2 = a^2 + b^2 + 2ab
  = 22 + 6
  =28
  =>a+b = (28)^(1/2)
  
  ans = (28)^(1/2) * 19
  =100.53
• 9 years agoHelpfull: Yes(7) No(0)
• option D is correct .......(plz refer http://www.elitmuszone.com/elitmus/data-sufficiency-problems-2/)
  
• 9 years agoHelpfull: Yes(2) No(0)
• option - d is Right answer.
  bcoz after solving the above equations we won't get Unique value of a^3 + b^3..
• 9 years agoHelpfull: Yes(1) No(1)
• a^3 + b^3=(a+b)(a^2-ab+b^2)
  (a+b)^2=a^2+2ab+b^2
  by solving 2nd equation=>(a+b)=(28)^1/2
  by putting in equation 1 we get=>RHS=(28)^1/2+(22-3)=>24.29
• 9 years agoHelpfull: Yes(0) No(5)
• Ans. C
  By the help of both equation.
• 9 years agoHelpfull: Yes(0) No(0)