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  1. If a, b, c be all positive integers, then the least positive value of a3 + b3 + c3 – 3abc is
    1. 1
    2. 2
    3. 4
    4. 3
Correct Option: C

a3 + b3 + c3 – 3abc will be minimum if a = b = 1, c = 2
∴ Least value = 1 + 1 + 8 – 3 × 1
× 1 × 2 = 10 – 6 = 4


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