Modhumoti Bank Probationary Officer Job Exam Question Solution 2017

Modhumoti Bank Probationary Officer Job Exam Question Solution 2017. Modhumoti Bank Probationary Officer Job exam is held on 21 April, 2017. This is an essential exam among freshers. The exam question is important for those who did not sit for Modhumoti bank too. Because this is a matter of practice. And candidates can get similar questions in other job tests too.

Modhumoti Bank Probationary Officer Job Exam Question Solution 2017

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MODHUMOTI BANK LIMITED PROBATIONARY OFFICER RECRUITMENT EXAM 2017

WRITTEN MATHS
*** A B C started a job which they can complete in 2 days. B can do the job in 5 days and C can do it in 4 days. After working for 1 day, both B and C left. How long would it take for A to complete the rest of the job?
Ans:
A, B, and C can do the job in 2 days.
So, in 1 day, they completed = 1/2 of the job.

B can do in 1 day = 1/5 of the job
C can do in 1 day = 1/4 of the job
so, A can do in 1 day = 1/2 – 1/5 – 1/4 = (10-4-5)/20 = 1/20 of the job.

So, to do the rest of the job, A will take = (1/2)/(1/20) days or 10 days.

Ans: 10 days.

**** A man’s running speed is 3 times of his walking speed. He runs a distance and comes back by walking. Total time taken by him is 2 hours. What is the distance in miles if he runs 9 miles per hour?

Ans:  Suppose,
the distance is = x miles.

running at 9 miles per hour, he takes x/9 hours to cover a distance of x miles.

as his running speed is 3 times of his walking speed, his walking speed = 9/3 mph = 3 mph

walking at 3 miles per hour, he takes x/3 hours to cover a distance of x miles.

according to the question:
x/9 + x/3 = 2
(x+3x)/9 = 2
4x = 18
x = 18/4 = 4.5

Ans: 4.5 miles

****** A shirt was sold at 6% profit. If the purchase price was 4% less and the selling price was Tk. 4 more, the profit would be 12.5%. What was the purchase price of the shirt?
Ans:
Suppose,
the purchase price of the shirt was = Tk. x.
at 6% profit, the selling price of the shirt was = Tk 1.06x

according to the question:
(1.06x+4 – 0.96x) = 0.96x × 12.5%
=> 0.1x + 4 = 0.96x × 12.5/100
=> 0.1x + 4 = 0.96x × 1/8
=> 0.1x + 4 = 0.12x
=> 0.02x = 4
=> x = 4/0.02 = 400/2 = 200

Answer: Tk. 200.

***********Solution of the equation: 1/(2x-5) + 1/(2x-11) = 1/(2x-7) + 1/(2x-9)
Ans;
1/(2x-5) + 1/(2x-11) = 1/(2x-7) + 1/(2x-9)

=> 1/(2x-5) – 1/(2x-9) = 1/(2x-7) – 1/(2x-11)

=> (2x-9-2x+5)/(2x-5)(2x-9) = (2x-11-2x+7)/(2x-7)(2x-11)

=> -4/(4x²-28x+45) = -4/(4x²-36x+77)

=> 4x² – 28x + 45 = 4x² – 36x + 77

= 36x-28x = 77-45

=> 8x = 32

=> x = 4

Answer: x = 4.

Modhumoti Bank Probationary Officer Job Exam Question Solution 2017

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