Mathematics

Mathematics

Problem

If x1,x2,…,xnx_1, x_2, \dots, x_n and 1h1,1h2,…,1hn\frac{1}{h_1}, \frac{1}{h_2}, \dots, \frac{1}{h_n} are two A.P.s such that x3=h2=8x_3 = h_2 = 8 and x8=h7=20x_8 = h_7 = 20, then x5⋅h10x_5 \cdot h_{10} equals (a) 2560 (b) 2650 (c) 3200 (d) 1600

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