Q. How many 3-digit numbers will be there which are divisible by 19?

- Priya
- 08 Jul
- 1725 Views
- 4 Answers

Your Answer

- Sanchit
- 08 Jul

Let's solve this problem without using any mathematical formula of Arithmetic Progression. This gives us the speedy answer which is so required in the competitive exams where there is a constraint of time.

The greatest three digit number is 999.

And 999/19 = 52.57.

This implies upto 999, a total of 52 numbers are completely divisible.

Subtracting from this, number of two- digit numbers also divisible by 19 taken into account in the previous calculation, i.e 19,38,57,76, and 95, we get :

52-5 = 47

Thus there are 47 such 3 digit numbers in all.

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