Question

12. What will be the remainder obtained when (1234567890123456789)24 is divided by 6561? A) 0 b) 1 c) 11 d) 9

Answer 1

Answer:

Answer A) 0.

Step-by-step explanation:

Since we want to know what will be the remainder obtained when (1234567890123456789)24 is divided by 6561, we need to first multiply the number by 24.

Then we will get an integer number. What you need to do next is divide that integer number by 6561, and if you get an integer number then its reminder is zero, otherwise we need to see how many times the integer number fits in the number you are dividing it.

In this case:

If you multiply 1234567890123456789 by 24 you get:

1234567890123456789 x 24 = 29629629362962962936

Then you divide 29629629362962962936 by 6561 and you get:

29629629362962962936 : 6561 = 4516023374937199.0

Hence the remainder is 0.

Answer A.

Answer 2

Answer:

Step-by-step explanation:

The digital sum of number is

(1+2+3+4+5+6+7+8+9+0+1+2+3+4+5+6+7+8+9)=90=(9+0)=9

So it is divisible by 3 and 9 both

The given divisor 6561 = 9^4. So,

 Completely divisible so Reminder is zero