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Question

If 7 divides 323232, the remainder is

A
1
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B
4
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C
6
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Solution

The correct option is B 4
32=25(32)32=(25)32
(2160=(31)160=3m+1,mN
(32)3232=(32)3m+1=25(3m+1)
23(5m+1)22=4.85m+1
(7+1)5m+1=4(7n+1),nN=28n+4
When 7 divides (32)3232 remainder=4

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