Question

Find the least positive value of x such that 67+X = 1 (mod 4)​

Answer 1

Answer:

71 - x = 8n

71 - x is the multiple of 8

if x = 1, 71 - x = 70 is not the multiple of 8,

The number which is nearest to 71 is 64 (multiple of 8).In order to make this 71 as 64, we have to subtract 7.

So, the value of x is 7.

Hence 7 is the least number.

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