Think of your lucky number..... I don't mind whatever it may be...... multiply your lucky number by 8 and add 4 to it. and then ...... Divide the result by 2. Now u have a result in your hand.... divide it by 4 and say me the reminder......
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Let the number be x
Operations we need to perform are:
Note that 4 x + 2 ≡ 2 ( m o d 4 ) and hence the remainder is 2 .