1.

How many numbers are there from 2000 to 7000 which are both perfect squares and perfect cubes?1). 02). 13). 24). 3

Answer»

If a number is both a perfect square and a perfect cube.

Then, it has to be some number to the POWER of (2 × 3) = 6

2000 < a6 < 7000

⇒ a = 4 satisfies the above equation

⇒ required number = 46 = 4096

∴ the correct option is 2)



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