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    Subject

    Bank Exam

    Topic

    Mutual Trust Bank Ltd. - Probationary Officer - 2016

    At a college football game, 4/5 of the scats in the lower deck of the stadium were sold. If one-fourth of all the seating in the stadium is located in the lower deck, and if 2/3 of all the seats in the stadium were sold, what fraction of the unsold seats in the stadium were in the lower deck?

    ক)
    3/20
    খ)
    1/6
    গ)
    1/3
    ঘ)
    7/15

    Explanation

    Solution: অনুবাদঃ একটি ফুটবল খেলার Stadium এর Lower deck এর 4/5 অংশ বিক্রি হলো । যদি মোট সিটের 1/4 অংশ Lower deck এ অবস্থিত হয় এবং Stadium এর মোট সিটের 2/3 অংশ সিট বিক্রি হয়, তাহলে Lower deck এর কত অংশ সিট অবিক্রিত থাকবে ? এটি চার্টে করলে সহজ হবেঃ এখানে 45,14,13\frac{4}{5},\frac{1}{4},\frac{1}{3} এর হর 5, 4, 3 এর ল. সা. গু. 60 ; তাই মোট সীট সংখ্যা 60 ধরলে হিসাব সহজ হবে । Sold Unsold মোট Lower Deck 45×15\frac{4}{5} \times 15 = 12 15 - 12 = 3 14×60\frac{1}{4} \times 60 = 15 Upper Deck মোট 23×60\frac{2}{3} \times 60 = 40 60 - 40 = 20 60 Usnsold+LowerDeckTotalUnsold=320\frac{{Usnsold + LowerDeck}}{{Total Unsold}} = \frac{3}{{20}} Shortcut : Let, total seat 400; Lower deck 100 Upper deck  300 Lower sold = 100×45100 \times \frac{4}{5} = 80 Lower unsold = 20 Total sold = 400×23400 \times \frac{2}{3} Total unsold = 400−8003=4003400 - \frac{{800}}{3} = \frac{{400}}{3} Unsold = 204003=20×3400=320\frac{{20}}{{\frac{{400}}{3}}} = 20 \times \frac{3}{{400}} = \frac{3}{{20}}

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