NTA Abhyas JEE Main2020MathematicsMathematical InductionPractice

If 27 999 is divided by 7, then the remainder is

Options

Correct answer

D. 6

Step-by-step solution

Express the given number 27 999 as 28 − 1 999 Now, divide by 7 , ( 28 − 1 ) 999 7 and apply the formula of binomial expansion. We get the reminder as − 1 ⇒ 7 + ( − 1 ) = 6

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