Q. There are certain diamonds in a shop.
1 thief stole half of diamonds and 2 more.
2 thief stole half of remaining and 2 more
3. same as above
4 same as above.
5 came nothing was left for that.how many diamonds was there???

• ans: 60 diamonds
  Let diamonds are x.
  1.x/2+2=(x+4)/2,remaining=x-(x+4/2)=>( x-4)/2
  2. remaining/2+2 i.e (x-4)/4+2=x+4/4, remaining=(x-4)/4-(x+4)/4=>x-12/4
  3. (x-12)/8+2=(x+4)/8,remaining= (x-12)/4-(x+4)/8=>(x-28)/8
  4.(x-28)/16+2=x+4/16, remaining= (x-28)/8-(x+4)/16=>(x-60)/16
  5. (x-60)/16=0 so x=60
• 10 years agoHelpfull: Yes(31) No(2)
• 60 is answer
  
  1 : 60-32=28
  2 : 28-16=12
  3 : 12-8=4
  4 : 4-4=0
  5TH STAGE THERE IS NOTHING
• 10 years agoHelpfull: Yes(8) No(0)
• ans: 76 diamonds
  Let diamonds are x.
  1.x/2+2=x+4/2,remaining=x-(x+4/2)=> x-4/2
  2. remaining/2+2 i.e (x-4)/4+2=x+4/4, remaining=(x-4)/4-(x+4)/4=>x-12/4
  3. (x-12)/8+2=x+4/8,remaining= (x-12)/4-(x+4)/8=>x-28/8
  4.(x-28)/16+2=x+4/16, remaining= (x-28)/8-(x+4)/16=>x-60/16
  5. (x-60)/16=0 so x=16+60=>76
  
• 10 years agoHelpfull: Yes(1) No(11)
• the answer is
  60
• 10 years agoHelpfull: Yes(1) No(1)
• let total diamonds are x.
  now total theft diamonds = initial diamonds
  
  now X = (.5X+2)+(.25X+1+2)+(.125X+.5+1+2)+(.0625X+.25+.5+1+2)
  X = 196
• 10 years agoHelpfull: Yes(0) No(7)
• by trial let 60 diamonds are there
  1-60/2+2=32
  remaining 60-32=28
  2-28/2+2=16
  remaining=28-16=12
  3-12/2+2=8
  remaining=12-8=4
  4-4/2+2=4
  5-remaining=4-4=0
  
• 10 years agoHelpfull: Yes(0) No(0)