Latest Elitmus Aptitude Question SOLUTION: 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.

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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.

Asked In Elitmus Dhananjay (9 years ago)

Unsolved Read Solution (11)

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Read Solution (11) :

siddharth prakash singh  (9 years ago)

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.

Is this solution Helpfull? Yes (38) | No (4)  

Pralay Bagchi  (9 years ago)

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.

Is this solution Helpfull? Yes (17) | No (1)  

Tauseef Ahmad  (9 years ago)

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)

Is this solution Helpfull? Yes (6) | No (7)  

G.Nagasri  (8 years ago)

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

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yagyesh  (9 years ago)

322 would be the answer siddharth has not taken 1 into consideration... it will also be eliminated so total 21 nos are now eliminated

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mukund  (9 years ago)

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

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satyadev  (9 years ago)

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

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padam  (9 years ago)

321 is the answer and yagesh bhai 1 toh set B me hai hi nhi so why are you eliminating it?

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RAKESH ROSHAN  (8 years ago)

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

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saurav  (8 years ago)

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

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shivaditya pandey  (8 years ago)

answer is 318
eliminated no are 1 ,4,8,9,27,25,36,49,100,121,125,144,169,196,216,225,256,289

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