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Rajan@2021
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How many two-digit numbers are divisible by 3?

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An important question from arithmetic progression chapter as it was already asked in previous year paper of 2013 in which we are to find number of two-digit numbers divisible by 3.

RS Aggarwal, class 10, chapter 5A, question no 43.

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1 Answer

  1. We know, first two digit number divisible by 3 is 12 and last two digit number divisible by 3 is 99. Thus, we get

    12,15,18,...,99 which is an AP
    Here, a=12,d=3
    Let there be n terms. Then,
    an=99
    a+(n1)d=99
    12+(n1)3=99
    n=29+1=30
    Therefore, two digit numbers divisible by 3 are 30

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