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    Subject

    Bank Exam

    Topic

    Jamuna Bank Ltd. - Probationary Officer - 2017

    If x = y + 2 and x is an even integer, which of the following could be the sum of x and y ?

    ক)
    140
    খ)
    146
    গ)
    148
    ঘ)
    None

    Explanation

    Solution: প্রশ্নে বলা হচ্ছে যে, x = y + 2 এবং x একটি জোড় সংখ্যা হলে অপশনের কোনটি (x + y) এর মান হতে পারে ? যেহেতু Even তাই, x = y + 2       => y = x - 2    অর্থাৎ  y ও Even হবে । এখন, x + y = (y + 2) + y = 2y + 2 = 2(y + 1) = 2(Even + 1) = 2 × \times odd. x+y2=2×odd2=Odd\frac{{x + y}}{2} = \frac{{2 \times odd}}{2} = Odd কাজেই , x+y2=Odd\frac{{x + y}}{2} = Odd হলেই কেবল (x + y) এর মান Even হবে । এমন প্রশ্নের অপশনগুলো দেখুনঃ a) এর 1402=70\frac{{140}}{2} = 70 যা odd নয়, তাই এটি বাদ ।                   b) এর 1462=73\frac{{146}}{2} = 73 যা odd, তাই এটি উত্তর । c) এর 1482=74\frac{{148}}{2} = 74  যা odd নয়, তাই এটি বাদ ।

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