Question

If N = 171717171717 ... 140 digits, then find the remainder when N is divided by 33.
01) 0
O2) 2.
3) 17
4) 19

Answer 1

Answer:

I think it is 01) 0. please mark me as brain list

Answer 2

Answer:

Option (02)-- 2

Step-by-step explanation:

By using Chinese remainder theorem,

33 = 11 *3

N=171717...(140 digits)

N mod 11

apply divisibility by 11

17*70mod11

Rem=> 2

N can be written as N=11x+2

N mod 3

apply divisibility by 3

17*70mod3

Rem=> 2

N can be written as N=3y+2

Finding minimum value of x and y

x=y=0

So remainder = 3*0+2=2 ans..