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Rajan@2021
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How many two digit numbers are divisible by 6?

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An important question from arithmetic progression chapter as it was already asked in previous year paper of 2011 in which we are to find the two digit numbers divisible by 6.

RS Aggarwal, Class 10, chapter 5A, question no 42.

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  1. The least 3 digit no. is 100

    The least 3 digit no divisible by 66×12=102
    The least 4 digit no is 1000
    The largest 3 digit no. divisible by 66×166=996
    Using identity l=a+(n1)d , where l is the last term, a is the first term, n is total no of terms and d is the common difference
    Putting, l=996a=102 and  d=6
    996=102+(n1)6
    996=102+6n6
    996=96+6n
    6n=900
    n=150
    so, there are 1503 digits numbers which are divisible by 6

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