(Q25).How many multiples of 4 lie between 10 and 250?

Given numbers: 10 to 250

4 ) 10 (


4 ) 250 (



∴ Multiples of 4 between 10 and 250 are

First term: + () =

Last term: 250 – =

∴ 12, 16, 20, 24, ….., 248

a = a1 = ; d = ; an =

an = a + (n – 1)d

= + (n – 1) ×

⇒ (n – 1) =

⇒ n - 1 =
=

∴ n = + =

There are numbers between 10 and 250 which are divisible by 4.