jee-main 2020 Q55

jee-main · India · session1_07jan_shift1 Number Theory Divisibility and Divisor Analysis
The greatest positive integer $k$, for which $49 ^ { k } + 1$ is a factor of the sum $49 ^ { 125 } + 49 ^ { 124 } + \ldots + 49 ^ { 2 } + 49 + 1$, is
(1) 32
(2) 63
(3) 60
(4) 35 
The greatest positive integer $k$, for which $49 ^ { k } + 1$ is a factor of the sum $49 ^ { 125 } + 49 ^ { 124 } + \ldots + 49 ^ { 2 } + 49 + 1$, is\\
(1) 32\\
(2) 63\\
(3) 60\\
(4) 35
Paper Questions
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