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Question: Which of the following expression is divisible by 1225-...

Which of the following expression is divisible by 1225-

A

62n –35n –1

B

62n – 35n + 1

C

62n– 35n

D

62n – 35n + 1

Answer

62n –35n –1

Explanation

Solution

62n – 35n – 1 = (1+ 35)n –35n– 1

= (35)2 [nC2 + nC3. 35 +......]

Ž divisible by 1225

and hence other B, C, D are not divisible by 1225.