Q8 of 55 Page 1

Find the how many two-digit numbers are divisible by 6?

The two digit numbers that are divisible by 6 are 12, 18, 24, …, 96

Here, First term = a = 12


Common difference d = 18 – 12 = 6,


Last term = an = 96


Since, nth term is given by:


an = a + (n - 1)d


96 = 12 + (n – 1)6


96 – 12 = (n – 1)6


84 = 6n – 6


84 + 6 = 6n


90 = 6n


n = 15


There are 15 two-digit numbers divisible by 6.


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