1.

Coefficient of x49 in the expansion of (x–1)(x–3)(x–5).........................(x–99) is (a)  –992 (b)  1 (c)  –2500(d)  None of these 

Answer»

Correct option (c) –2500 

Explanation:

(x–1)(x–3)(x–5) ................ (x–99)

= x50 – S1 x49 + S2 x 48 .............

Coefficient of x49 is – S1

= –(1+3+5+......+99) 

= –502 = – 2500 



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