The number of multiples of 4 that lie between 10 and 250 is

1. 62

2. 60

3. 59

4. 55

The multiples of 4 that lie between 10 and 250 are 12, 16, 20, ….., 248.

The above series is an A.P. with first term = a = 12 and common difference = d = 16 - 12 = 4.

Let 248 be the nth term, we know that

    a_n = a + (n - 1)d
∴ 248 = 12 + (n - 1) × 4
⇒ 248 = 12 + 4n - 4
⇒ 4n = 248 - 8
⇒ 4n = 240
⇒ n = 60.

Hence, Option 2 is the correct option.