Q29 of 202 Page 9

How many multiples of 4 lie between 10 and 250?

Let, multiple of 4 lies between 10 and 250

12, 16, 20, 24,…248


We know, an = a + (n – 1)d


First term, a = 12


C0mmon difference, d = 16 – 12 = 4


Last term, an = 248


an = a+ (n – 1)d


248 = 12 + (n – 1) 4


248 = 12 + 4n – 4


4n = 248 – 12 + 4


4n = 240


n = 60


Hence, multiple of 4 lies between 10 and 250 is 60


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