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Question

Remainder when (2)1004 is divided by 17 is

A
14
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B
16
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C
7
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D
10
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Solution

The correct option is B 16
(24)250 x 24
(24)250 x 24
(171)250 x 24
= [250C0 17250 250C1 17249 + 250C2 17248 ...... 250C249 171 + (1)250] × 24= (17m + 1) × 16
Remainder, when the above term is divided by 17 is 16

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