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    Subject

    Bank Exam

    Topic

    Jamuna Bank Ltd. - Probationary Officer - 2017

    Positive integer y is 50 percent of 50 percent of Positive integer x, and y percent of x equals 100. What is the value of x ?

    ক)
    50
    খ)
    100
    গ)
    200
    ঘ)
    None

    Explanation

    Solution: প্রশ্নে বলা হচ্ছে যে, ধনাত্মক পূর্ণসংখ্যা y হলো আরেকটি ধনাত্মক পূর্ণসংখ্যা x এর 50% এর 50% এবং y% এর x = 100 হলে x এর মান কত ? দেয়া আছে, y = 50% of 50% of x               => y = 50100×50100×x\frac{{50}}{{100}} \times \frac{{50}}{{100}} \times x       y = x4\frac{x}{4} আবার প্রশ্নমতে, y% of x = 100          => y×x100=100\frac{{y \times x}}{{100}} = 100      => y×x{y \times x} = 100 × \times 100        => x4×x=100×100\frac{x}{4} \times x = 100 \times 100 => x 2 = 100×100×4100 \times 100 \times 4     => x 2 = 10 2 × \times 10 2 × \times 2 2 => x =  (10×10×2)2  \sqrt {{{(10 \times 10 \times 2)}^{2\;}}}     x = 200

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