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723

Q:

(719 + 2) is divided by 6, the remainder is :

  • 1
    2
  • 2
    1
  • 3
    5
  • 4
    3
  • Show Answer
  • Workspace

Answer : 4. "3 "
Explanation :

By the Binomial expansion we have

Here, each term except the last term contains x. Obviously, each term except the last term is exactly divisible by x.

Following the same logic,

719 = (6 + 1)19 has each term except last term divisible by 6.

Hence, 719 + 2 when divided by 6 leaves remainder =1 + 2 = 3

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