Q. 15.0( 1 Vote )

Using division algorithm, find the quotient and remainder of the following pairs.

(i) 10, 3 (ii) 5, 12 (iii) 27, 3

Answer :

(i) 10,3


We write the given pair in the form a = bq + r, 0 r<b as follows.


10 = 3(3) + 1[3 divides 10 three time and leaves the remainder 1]


quotient = 3; remainder = 1


(ii) 5,12


We write the given pair in the form a = bq + r, 0 r<b as follows.


5 = 12(0) + 5 [12 divides 5 Zero time and leaves the remainder 5]


quotient = 0; remainder = 5


(iii) 27,3


We write the given pair in the form a = bq + r, 0 r<b as follows.


27 = 3(9) + 0 [3 divides 27 Nine time and leaves the remainder 1]


quotient = 3; remainder = 0


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