Question 76
How many numbers are there from 2000 to 7000 which are both perfect squares and perfect cubes?
Solution
Numbers which are both perfect squares and perfect cubes are of the form = $$k^6$$, where $$k$$ is a natural number.
Thus, numbers are = $$(1)^6$$ , $$(2)^6$$ , $$(3)^6$$ , $$(4)^6$$ , $$(5)^6$$
= 1 , 64 , 729 , 4096 , 15625 , and so on
From the list of above numbers, we can see that only 1 number i.e. 4096 lies between 2000 and 7000
=> Ans - (B)
Get AI Help
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
