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?

• answer=60
  let the total diamonds x.
  first person took x/2 and extra 2,
  so the remaining are (x/2)-2= let it be y,
  similarly , the second person took y/2 + 2, so remaining are y/2 -2.........
  after 4 similar attempts,the shop is left with 0 diamonds,
  so the final expression will be
  1/2*(1/2*(1/2*(x/2 -2)-2)-2)-2 =0
  from this x =60
  so, first person took 60/2 +2 =32
  2nd person took 28/2 +2 = 16
  3rd person took 12/2 +2 =8
  4th person took 4/2 +2 =4
  so........we are left with 0 diamonds in the shop.. i think this the correct answer.
• 11 years agoHelpfull: Yes(34) No(1)
• answer=60
  solution:
  let the total diamonds be x.
  diamonds stole by 1st thief =x/2+2=(x+4)/2;
  n by 2nd one=(x+4)/4;
  by 3rd one=(x+4)/8;
  by 4th one=(x+4)/16;
  Hence x-[(x+4/2)+(x+4/4)+(x+4/8)+(x+4/16)]=0;
  On solving, x=60
  
• 11 years agoHelpfull: Yes(9) No(1)
• last person=0
  fourth person=4 diamonds
  third person=12 diamonds
  second person=28 diamonds
  first person=60 diamonds
  
• 11 years agoHelpfull: Yes(4) No(2)
• in such type of question we solve it in a backward order
  the last person was left with 0 diamonds so the 4th thief had divided the diamonds such that only 2 diamonds were left only then he will take 2 more diamonds.
  that means - 2*2 =4
  
  Now for the 4th thief- 4 diamonds were there
  So previously there were
  4+2=6 diamonds after dividing it by half.
  So, the 3rd thief had 6*2=12 diamonds
  
  Similarly, 2nd thief saw (12+2) * 2 = 28 diamonds
  
  And 1st thief saw (28+2) * 2 =60 diamonds (ANS)
• 10 years agoHelpfull: Yes(2) No(0)
• 60 diamonds was there....
• 11 years agoHelpfull: Yes(1) No(1)
• by using options it can solve easily so 60
• 11 years agoHelpfull: Yes(1) No(0)
• best soltutn will be try to go for options and clculatate it will sav elots of tym
• 10 years agoHelpfull: Yes(1) No(0)
• there are 140 diamonds
• 11 years agoHelpfull: Yes(0) No(8)
• 60 diamonds
  
• 11 years agoHelpfull: Yes(0) No(1)
• answer is 60
• 11 years agoHelpfull: Yes(0) No(0)
• let us consider,there was x diamonds
  after 1st one: x-(x/2-2)
  2nd:(x-x/2-2)-(x/4-2)
  3rd:((x-x/2-2)-(x/4-2))-(x/8-2))
  4th: ((x-x/2-2)-(x/4-2))-(x/8-2))-(x/16-2)
  finally there is no diamonds
  so (16x-8x-4x-x)/16=8
  
  therefore x=128
  
  ans:128
• 10 years agoHelpfull: Yes(0) No(7)
• ans:-is 120
  each person gets half of diamonds plus 2 more in each round
  {[(x/2)+2]+[(x/4)+2]+[(x/8)+2]+[(x/16)+2]}=x
  x=128
  but i have not subtracted each time 2 more diamonds in half of reaming diamonds so 4*2=8
  128-8=120
  Total diamonds are 120
  
  
• 10 years agoHelpfull: Yes(0) No(6)