How many multiples of 4 lie between 10 and 250?

Options

A. `40`
B. `50`
C. `60`
D. `30`

Answer

C

Explanation

All multiples of 4 lying between 10 and 250 are
12, 16, 20, 24, …., 248.
Clearly, these numbers form an AP with
a = 12, d = (16-12) = 4 and l = 248.
Let it contain n terms. Then,
`T_(n) = 248 rArr a + (n-1)d = 248`
`rArr 12 + (n-1) xx 4 = 248 rArr 4n = 240 rArr n = 60.`
Hence, there are 60 multiples of 4 lying between 10 and 250.