Subject

    Quantitative Aptitude

    Topic

    Number

    The sum all even natural numbers between 1 and 31 is:

    ক)
    16
    খ)
    128
    গ)
    240
    ঘ)
    512

    Explanation

    Required sum = (2 + 4 + 6 + ... + 30) This is an A.P. in which a = 2, d = (4 - 2) = 2 and l = 30. Let the number of terms be n. Then,tn = 30    a + (n - 1)d = 30 => 2 + (n - 1) x 2 = 30 => n - 1 = 14 => n = 15 Sn = (n/2)(a + l) =(15/2) x(2 + 30) = 240.

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