Question

The number of multiples of 4 lying between 12 and 250 is ______.

पर्याय

• 59

• 59.5

• 60

• 61

Answer 1

The number of multiples of 4 lying between 12 and 250 is 59.

Explanation:

Numbers between 12 and 250 that are multiples of 4 are an Arithmetic Progression (A.P.):

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

First term (a) = 16,

Common difference (d) = 4

Last term (a_n) = 248

a_n = a + (n − 1)d

⇒ 248 = 16 + (n – 1)(4)

⇒ 248 = 16 + 4n – 4

⇒ 248 = 4n + 12

⇒ 4n = 248 – 12

⇒ 4n = 236

⇒ n = `236/4`

⇒ n = 59