Question

The numbers from 5 to 26 are written side-by-side as follows 567..2526. What is the remainder when resulting number gets divided by 9?

Answer 1

Answer:

5

Step-by-step explanation:

Given  

The numbers from 5 to 26 are written side-by-side as follows 567..2526. What is the remainder when resulting number gets divided by 9?

Now we can write this as

5 + 6 + 7 + …………….+ 26

We know that sum will be

n/2 (2a + (n – 1)d)

26/2 (2(5) + (26 – 1)1)

 13(10 + 25)

 13 x 35

 = 455

So when 455 is divided by 9 we get 5 as remainder.