Question

How many three digits number are divisible by 13.
by ap method
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Answer 1

Answer:

35

Step-by-step explanation:

There are 900 three digit numbers, from 100 to 999 (999–100+1 = 900). If we divide 900 by 13, we get 69. Since these are the multiples of 13, they are bound to be sequence of odd and even multiples. We have 68/2 = 34 odd multiples and 34 even multiples. So, the question is, whether the last multiple is odd or even. Since the first 3 digit multiple of 13 is 104, which is an even number, the last or 69 number is also going to be even number.

Thus, we have 34 + 1 = 35, three digit even numbers that are divisible by 13.

The required answer is 35.