How many multiples of 4 lie between 10 and 250?

Answer: 60

Let us consider the multiples of 4 which lie between 10 and 250.

12, 16, 20, 24, 28, 32, 40,……….248.

It is an Arithmetic Progression(AP), it is defined as a series of numbers in order in which the difference of any two consecutive numbers is a constant value.

Starting term (a) = 12

Difference (d) = 4

Let us consider the total number of terms be n, then

a + (n – 1)d =248

12 + (n – 1)4 = 248

12 + 4n – 4 = 248

12 + 4n – 4 – 248 = 0

4n – 240 = 0

4n = 240

n = 60

∴ There are 60 multiplies of 4 lies between 10 and 250.

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