Subject

    Quantitative Aptitude

    Topic

    Number

    A two digit number has 3 in its unit digit. The sum of its digits is one-seventh of the number itself. What is the number?

    ক)
    73
    খ)
    63
    গ)
    53
    ঘ)
    50

    Explanation

    Let n = tens digit Let m = units digit Then your whole number is N = 10 X n + m……(1) here,  n + m = 1/7 X (10Xn + m)……….(2) the units digit is 3 or m = 3 Now to solve, put 3 into (2) and get n + 3 = 1/7 X (10 X n + 3) or, 7 X n + 21 = 10 X n + 3 where  simply multiplied both sides by 7. Or,3Xn = 18  or, n = 6 Therefore your number is from (1) N = 10X6 + 3 or  N = 63

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