Subject

    Quantitative Aptitude

    Topic

    Number

    How many 3-digit numbers are completely divisible 6?

    ক)
    149
    খ)
    150
    গ)
    151
    ঘ)
    166

    Explanation

    3-digit number divisible by 6 are: 102, 108, 114,... , 996 This is an A.P. in which a = 102, d = 6 and l = 996 Let the number of terms be n. Then tn = 996. So, a + (n - 1)d = 996 => 102 + (n - 1) x 6 = 996 => 6 x (n - 1) = 894 => (n - 1) = 149 => n = 150 Number of terms = 150.

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