when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 12	Choose the correct choice from the following.
A) 1	B) 3	C) 4	D) 5	E) 12
when n divided by 3, the remainder is 2.   This statement can be written as   n=3k+2 (where k is the quotient) ----1   similarly   when n is divided by 4, the remainder is 1   can be written as   n=4p+1 (here p is the quotient) ------2   from eq 1 and 2   3k+2=4p+1   or,   k=(4p-1)/3   substitute p= 1 , the result will give ----&gt; k(4 -1)/3= 
<gadget id="calculator">(4 -1)/3</gadget>
<output>1</output>
1 , the result will give ----&gt; k=1   substitute back in the equations   in both the cases we have n=5   dividing n by 12 will give remainder 5 !!   ANSWER:5
<result>D</result>
when n divided by 3, the remainder is 2.
when n divided by 4, the remainder is 1
what is the the remainder when divided by 12