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 ?

- 120
- 36,28,800
- 3840
- 240
- 1536

INR

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

= 2^{5} × (1 × 2 × 3 × 4 × 5)

= 32 × 120

= **3840**

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