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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 |
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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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