Logo
    Logo

    Subject

    Bank Exam

    Topic

    Southeast Bank Ltd. - Probationary Officer - 2016

    If a + 2b = 6 and ab = 4, what is the value of 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) ab = 4 ...........(2) এখন, সমীকরণ (1) কে (2) দিয়ে ভাগ করি a+2bab=64\frac{{a + 2b}}{{ab}} = \frac{6}{4}                   => aab+2bab=64\frac{a}{{ab}} + \frac{{2b}}{{ab}} = \frac{6}{4} => 1b+2a=64\frac{1}{b} + \frac{2}{a} = \frac{6}{4}         => 2a+1b=64\frac{2}{a} + \frac{1}{b} = \frac{6}{4} 2a+1b=32\frac{2}{a} + \frac{1}{b} = \frac{3}{2} Shortcut: 2a+1b=a+2bab=64=32.\frac{2}{a} + \frac{1}{b} = \frac{{a + 2b}}{{ab}} = \frac{6}{4} = \frac{3}{2}.

    Related questions

    If the letters in the word RUTHENIUM are rearranged in the alphabetical order, which letter will be 2ndto the right of middle letter:The passage is about:In which area has Bangladesh shown improvement in the past year ?Why does the World Bank rank countries in doing business ?In how many areas in the life cycle of starting a business has Bangladesh's position remained unchanged in the past year ?Why has the overall ranking of Bangladesh dropped ?He has many awards and certificates under his _________.____ the northern frontier of India is the Himalayan range.

    Find Tutors

    View all Tutors