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    Subject

    Bank Exam

    Topic

    Southeast Bank Ltd. - Trainee Officer - 2018

    If a + 2b = 6 and ab = 4, what is 2a+1b\frac{2}{a} + \frac{1}{b} ?

    ক)
    \(\frac{1}{2}\)
    খ)
    1
    গ)
    \(\frac{3}{2}\)
    ঘ)
    2

    Explanation

    Solution: যদি a + 2b = 6 এবং ab = 4 হয় তাহলে 2a+1b\frac{2}{a} + \frac{1}{b} এর মান কত ? দেওয়া আছে,  a + 2b = 6 ......... (1) এবং ab = 4 ..............(2) এখন, সমীকরণ (1) কে 1ab\frac{1}{{ab}} দিয়ে গুণ করি 1ab×a+1ab×2b=6×1ab\frac{1}{{ab}} \times a + \frac{1}{{ab}} \times 2b = 6 \times \frac{1}{{ab}} => 1b+2a=6ab\frac{1}{b} + \frac{2}{a} = \frac{6}{{ab}}      => 2a+1b=64\frac{2}{a} + \frac{1}{b} = \frac{6}{4}         2a+1b=32\frac{2}{a} + \frac{1}{b} = \frac{3}{2}

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