Dividing n=2p-3,p£n and n2 by 4, what is the remainder?
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Answer:
N/4 = x + 3
Multiplying both sides with 2, which gives
( 2×N )/ 4 = 2X + 6
N/2 = 2X + 6
Since, 6 is divisible by 4 and gives a remainder of 2, above statement can be written as
N/2 = 2X + 1X + 2
N/2 = 3X + 2
From here we will reach to the solution of the above problem as… 2 is remainder when 2n is divided with 4.
OR
Say N = 11
Dividing N by 4 gives you remainder of 3.
Dividing 2N i.e. 22 by 4 gives you remainder of 2.
Similarly, dividing 3N i.e. 33 by 4 gives you remainder of 1 only.
And so on so forth.
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Answer:
Dividing n=2p-3,p£n and n2 by 4, what is the remainder?
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