Latest Elitmus Aptitude Question SOLUTION: Total number of numbers which are neither square or cube of a number less than 1000.

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(#M40033162) ELITMUS Numerical Ability question Elitmus 23rd feb14 Keep an EYE

Total number of numbers which are neither square or cube of a number less than 1000.

Asked In Elitmus Vivek Jain (10 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

RAKESH  (10 years ago)

less than 1000

squares: 1^2,2^2,3^2,4^2,......,31^2 (as 32^2=1024)
cubes: 1^3,2^3,3^3,....,9^3 (as 10^3=1000)

also, 1^2=1^3, 8^2=4^3, 27^2=9^3

total no. less than 1000 which are square or cube = 31 + 9 - 3 = 37
total no. less than 1000 = 999

Total no.s which are neither square nor cube of a number less than 1000
= 999-37
=962

ans: 962

Is this solution Helpfull? Yes (101) | No   

shilpa  (10 years ago)

plz rakesh tel to me clearly i didn't get u

Is this solution Helpfull? Yes (1) | No   

Mani kandan  (10 years ago)

less than 1000

squares: 1^2,2^2,3^2,4^2,......,31^2 (as 32^2=1024)
cubes: 1^3,2^3,3^3,....,9^3 (as 10^3=1000)

also, 1^2=1^3,8^2=4^3, 27^2=9^3
3 numbers matching. i.e., 2^2 !=2^3 [2^2=4,2^3=8]

total no. less than 1000 which are square or cube = 31 + 9 - 3 = 37
total no. less than 1000 = 999

Total no.s which are neither square nor cube of a number less than 1000
= 999-37
=962

ans: 962

Is this solution Helpfull? Yes (1) | No (2)  

Prakash Singh  (9 years ago)

is there any short-cut method to solve this question bcs it will take too much time i think

Is this solution Helpfull? Yes (1) | No   

swastik  (10 years ago)

959 numbers

Is this solution Helpfull? Yes | No (8)  

raveen kumar  (10 years ago)

968 is correct Ans.

Is this solution Helpfull? Yes | No (6)  

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