জনতা ব্যাংক লিমিটেড এর অফিসার (ক্যাশ)-২০১৬ পদের লিখিত পরীক্ষার প্রশ্ন পত্র - ২০২০

জনতা ব্যাংক লিমিটেড এর অফিসার (ক্যাশ)-২০১৬ পদের লিখিত পরীক্ষার প্রশ্ন পত্র - ২০২০

 পরীক্ষাঃ ১৩ নভেম্বর ২০২০

পরীক্ষার সময়ঃ সকাল ১০.০০ টা থেকে ১২.০০ টাএক্সাম টেকারঃ IBA

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 Q :: ~Simplify :: [(3-x)(x+2)+(-x+4)(7x+2)-(x-y)(2x-y)]-3x² - 7x+5
= 3x + 6 - x² - 2x + 28x + 8 - 7x² - 2x - 2x² + 3xy - y² - 3x² - 7x + 5
= 20x - 13x² - y² + 3xy + 19 (Ans)

Q :: ~ An equilateral triangle is inscribed in a circle with radius 10 . Find the area of the triangle.
[ a ÷ sinA ] = 2R => a = 2 × 10 × sin60° = 10√3 cm
So , Area => [ √3 ÷ 4 ] × [ 10√3 ]² = 75√3 cm² (Ans)

Q :: ~ A salesman sells two shirts at BDT. 594 each.On one he gains 10% and On the other he losses 10%.Find the gain or loss percent on the whole.
#Solution (i) => [ Ratio method ]
10% profit => CP : SP => [ 10 : 11 ] => [ 90 : 99 ]
10% loss => CP : SP => [ 10 : 9 ] => [ 110 : 99 ]
So , Total CP = [ 110 + 90 ] = 200 tk
& Total SP = [ 2 × 99 ] = 198 tk
So , Loss = [ 200 - 198 ] = 2 tk
& Loss % = [ 2 ÷ 200 ] × 100 => 1% (Ans)
#Solution (ii) => [ Effective percentage ]
10 - 10 - [ ( 10 × 10 ) ÷ 100 ] => - 1%
So , Loss => 1% (Ans)
#Solution (iii) => [ Applying MF ]
[ 11 ÷ 10 ] × [ 9 ÷ 10 ] × 100 => 99%
So , Loss => 1% (Ans)

Q :: ~ A solution made up of 40% alcohol by volume is mixed with 4 litres of Solution that is 10% alcohol by volume.How much,in litres of the 40% alcohol solution is needed to make a mixture that is 25% alcohol by volume.
ATQ , 40A + 10B = 25 ( A + B )
=> 15A = 15B
=> A = B
=> A : B = 4 : 4
So , Ans is 4 litres.

Q :: ~ If 24 machines can make 5 devices in 30 minutes,How many hours will it take 4 machines to make 15 device ?
ATQ , [ 24 × 30 ] ÷ [ X × 4 ] = [ 5 ÷ 15 ]
On solving => X = 540 minutes
=> X = 9 hours (Ans) 

Solution By: Mahi Sarowar