The given question is a challenging GMAT quant problem solving question testing concepts in number properties. Concepts covered: Number properties, Polynomials, Exponents, and Real Numbers.
Question 29: If a, b, .. , j are real numbers such that (a - 1)2 + (b - 2)4 + (c - 3)6 + ... + (j - 10)20 = 0, what is the value of b × d × f × h × j ?
Therefore, (a - 1) = 0, (b - 2) = 0, ..., (j - 10) = 0
Or a = 1, b = 2, c = 3, .... j = 10
b × d × f × h × j = 2 × 4 × 6 × 8 × 10
= 25 × (1 × 2 × 3 × 4 × 5)
= 32 × 120
= 3840
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