How many multiples of 4 lie between 10 and 250?

12 is the first number after 10 which is divisible by 4.

Since, 250 gives a remainder of 2 when divided by 4, thus 250 – 2 = 248 is the greatest number less than 250 which is divisible by 4.

Here, we have first term (a) = 12, last term (n) = 248 and common difference (d) = 4

Thus, number of terms (n) =?

We know that, a_n = a + (n -1)d

Or, 248 = 12 + (n – 1)4

Or, (n – 1)4 = 248 – 12 = 236

Or, n – 1 = 59

Or, n = 60

Thus, there are 60 numbers between 10 and 250 that are divisible by 4.