25^ 190 -19^ 190 -8^ 190 +2^ 190 is divisible by

JEE Main Mathematics question

is divisible by

(A) but not Correct
(B) but not
(C)Both and
(D)Neither nor

Answer: (A)

Solution

Group as ; since is divisible by , both brackets are divisible by and , so the expression is divisible by ; it is also even (odd odd even even), hence divisible by

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Question ID VK-021348