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