Binomial TheoremHard

Question

The remainder when 2²⁰⁰³ is divided by 17 is :

Options

A.1

B.2

C.8

D.none of these

Solution

2²⁰⁰³ = 8.(16)⁵⁰⁰
= 8 (17 - 1)⁵⁰⁰
∴ Remainder = 8

Create a free account to view solution

View Solution Free

Topic: Binomial Theorem·Practice all Binomial Theorem questions

More Binomial Theorem Questions

If (9 + )n = I + f, where I, n are integers and 0 < f < 1, then :...If C0,C1,C2,.....,C15 are coefficients of different terms in the expansion of (1 + x)15, then C0 + C2 + C4 + ...+ C14 is...The sum of: 3 . nC0 - 8. nC1 + 13.nC2 - 18.nC3 +.... upto (n+1) terms is :...The co-efficient of x4 in the expansion of (1 - x + 2x2)12 is:...If (1 + 2x + 3x2)10 = a0 + a1x + a2x2 +.... + a20x20, then :...