1.

The greatest positive integer k, fr which 49k + 1 is a factor of the sum 49125 + 49124 + ... 492 + 49 + 1, is :(1) 32 (2) 60 (3) 63 (4) 65

Answer»

Answer is (3) 63

1 + 49 + 492 + ... + 4912

= (49)126 - 1 = (4963 + 1)((4963  1)/48)

So greatest value of k = 63

Answer is (3) 63

((49)126 - 1)/48 = (((49)63 + 1)(4963 - 1))/48



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