Question

How many numbers from 1001 to 2000 are divisible by 4?

Answer 1

Hey bro i'll give u a rule from which u'll able to write all the no. B/w those no.
Rule- if the last two digit is divisible by 4 the entire no. Will divisible by 4.

Answer 2

Answer:

250 numbers are divisible by 4 from 1001 to 2000.

Step-by-step explanation:

The numbers from 1001 to 2000 which are divisible by 4 are : 1004, 1008, 1012,.............,1992, 1996, 2000

So, we can see this forms an A.P with common difference(d) = 4 and to find numbers from 1001 to 2000 divisible by we can simply find the number of terms in the above formed A.P. :

First Term, a = 1004

Common difference, d = 4

Last term, l = 2000

and n is required no. of terms

Now, l = a + (n - 1)·d

⇒ 2000 = 1004 + (n - 1)·4

⇒ 996 = (n - 1)·4

⇒ n - 1 = 249

⇒ n = 250

Hence, 250 numbers are divisible by 4 from 1001 to 2000.