Question

How many multiples of 4 lie between 10 and 250?

Answer 1

Numbers between 10 and 250 which are multiple of 4 are as follows:

12, 16, 20, 24, ........., 248

Clearly this forms an A.P. with first term a = 12,

Common difference d = 4 and last term I = 248

⇒ 248 = 12 + (n – 1)(4)

⇒ 248 = 12 + 4n – 4

⇒ 248 = 4n + 8

⇒ 4n = 248 – 8

⇒ 4n = 240

⇒ n = `240/4`

⇒ n = 60

Thus, 60 multiples of 4 lie between 10 and 250.