Question

Find the remainder of 7^19+2 / 6​

Answer 1

Answer:

Step-by-step explanation:

Correct option is

C

18

7

103

=7

102

(7)

=7(49)

51

=7(50−1)

51

=7(50

51

−51(50)

50

+(51)(25)(50)

49

...+(51)(50)−1)

=7(50k−1)

=350k−7

=350k+25−25−7

=(350k−25)+25−7

=(350k−25)+18 ...(a)

When 'a' is divided by 25 it leaves a remainder 18.

Hence, when 7

103

is divided by 25, it leaves a remainder 18.