1.

It is given that 237 + 1 is exactly divisible by a certain number. Which one of the following is definitely also divisible by the same number?1). 2111 + 12). 237 – 13). 227 + 14). 7.274

Answer»

LET 237 be X

⇒ 237 + 1 = x +1

Let x + 1 be completely DIVISIBLE by the number, N

⇒ (2111 + 1) = (237)3 + 1

⇒x3 + 13 = (x+1)(x2 – x + 1)

If x + 1 is completely divisible by N then (x+1)(x2 – x + 1) is also divisible by N

Hence, (2111 + 1) is completely divisible by N


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