A set B={2,3,5,6,7,10,_ ,_ ,_______} contain 300 no. in which square and cube of the no. are eliminated. then what will be the last number of the set B.

• 321 will be the answer.
  As we have to eliminate 4,8,9,16, 25, 27,36, 49, 64, 81, 100, 121, 125, 144, 169,196, 216, 225, 256, 279. so total of 20 nos will be eliminated.
  so the req no will be the 320th no strating from 2.
• 9 years agoHelpfull: Yes(38) No(4)
• first of all from as there are 300 number in set B , lets find out the square numbers between 2 to 301 ;
  4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289 .......... so total 16 square numbers are present.
  so repeat the same for cubes : 8,27,64,125,216.... so total 5 cube numbers are there .But we have counted 64 twice so total number of elimination becomes 16+5-1=20;
  lets add 301+20=321;
  we can see in between 301 to 321 there are no sq. or cube numbers to eliminate.
  so 2-321 will be the set of 300 numbers .
  Last number is 321.
  
• 9 years agoHelpfull: Yes(17) No(1)
• First eliminate squares- 4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,279
  then the cubes- 8,27,125,216
  total term is 20
  So the 300th term will me 322(starting from 2)
• 9 years agoHelpfull: Yes(6) No(7)
• Answer is 321 but I think Siddharth explanation is wrong because set b not started from 2.it start from 1only.but 1is eliminated because it's square and cube also 1.so we have elimate 1,4,8,9,16,25,27,36,49,64,81,100,121,125,144,169,196,225,256,289.
  Total 21 numbers.
  Now 300+21=321
• 8 years agoHelpfull: Yes(3) No(1)
• 322 would be the answer siddharth has not taken 1 into consideration... it will also be eliminated so total 21 nos are now eliminated
• 9 years agoHelpfull: Yes(1) No(2)
• 1 4 8 9 27 16 64 25 125 136 216 49 these nos are eliminated from the first 300 nos and eliminated terms are total 12
  So the 300th term is 312
• 9 years agoHelpfull: Yes(0) No(7)
• i think its 320 , beacause 1 is eliminated as 1 square is 1
  
  nd we have 20 numbers including 1 ,
  so we need to count from 1
  so the answer is 320
• 9 years agoHelpfull: Yes(0) No(1)
• 321 is the answer and yagesh bhai 1 toh set B me hai hi nhi so why are you eliminating it?
  
• 9 years agoHelpfull: Yes(0) No(2)
• 318 will be the answer.
  As we have to eliminate 4,8,9,25,27,36,49,100,121,125,144,169,196,216,225,256,289
  Totel 17 nos will be eliminated
  so req no is 318 because no is starting from 2
• 9 years agoHelpfull: Yes(0) No(3)
• there are 14 square numbers and 5 cube numbers....so 19 numbers are not written ...and the set starts with 2 so the last nuber of set is 300+19+1=320
  
• 8 years agoHelpfull: Yes(0) No(1)
• answer is 318
  eliminated no are 1 ,4,8,9,27,25,36,49,100,121,125,144,169,196,216,225,256,289
  
• 8 years agoHelpfull: Yes(0) No(0)