Question

how many two digits are in between 6 and 106 are devisible by 6​

Answer 1

Answer:

The two-digit numbers between 6 and 102 which are divisible by 6 are:

12, 18, 24, ......, 90, 96

Here, a = 12

d = 6 and last term =an = 96

Now, an = a + (n - 1)d  

⇒ 96 = 12 + (n - 1)6

⇒ 96 - 12 = 6n - 6

⇒ 84 +6  = 6n

⇒ n = 90/6 = 15

Hence, there are 15 two-digit numbers between 6 and 102 which are divisible by 6.

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Answer 2

15

By Divisibility rule, 6 is a multiple of 2 and 3. Thus it has two combination to test ie; Test for 2 and Test for 3. Hence total number of two digit number divisible by 6 = 15.