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Remainder when 2^2000 is divided by 17 is................. .

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Remainder when 22000 is divided by 17 is................. .

(a) 1 

(b) 2 

(c) 8 

(d) 12

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1 Answer

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Best answer

Correct option: (a) 1

Explanation: 

22000  = (24)500 

= (17 – 1)500 

= 500c0 17500 – 500c1 17499 + ------- – 500c499 ∙ 17 + 1

= 17k + 1

hence remainder is 1

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