# How many multiples of 4 lie between 10 and 250?

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How many multiples of 4 lie between 10 and 250?

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Multiples of 4. after 10 are: 12, 16, 20….

Multiples of 4 upto 250 is 248

∴ A.P. is 12, 16, 20, …….. 248

a = 12, d = 16 – 12 = 4

n =?

a = a + (n – 1) d = 248

12 + 4n – 4 = 248

4n + 8 = 248

4n = 248 – 8

4n = 240

∴ n = $\frac{240}{4}$

∴ n = 60

∴ Multiples of 4 lie between 10 and 250 is 60.