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math & puzzles Online Quiz - 204
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If ‘x’ is both cube and square of an integer and ‘x’ is between 1 and 200. What is the value of ‘x’ ?
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A
64
💡 Explanation:
A number that is both a perfect square and cube must be a perfect sixth power (since LCM of 2 and 3 is 6). Check sixth powers: 1⁶ = 1 (not in range 1-200, exclusive), 2⁶ = 64, 3⁶ = 729 (too large). So x = 64. Verify: 8² = 64 and 4³ = 64. Options A (8), B (16), and D (125) are not both perfect squares and cubes.