Bangladesh Bank || Assistant Director (19-04-2019) || 2019

If the numerator of fraction is increased by 200% and the denominator is increased by 350%. The resultant fraction is $\frac{5}{12}$ What was the original fractions?

প্রশ্নে বলা হচ্ছে, একটি ভগ্নাংশের লব 200% এবং হর 350% বাড়ানো হলে ভগ্নাংশটি হয় $\frac{5}{12}$ মূল ভগ্নাংশটি কত?

ধরি, ভগ্নাংশটির লব x এবং হর y

অতএব, ভগ্নাংশটি $\frac{x}{y}$

প্রশ্নমতে, $\frac{x + x এ র 200 %}{y + y এ র 350 %} \frac{5}{12}$

$\Rightarrow \frac{x + \frac{200 x}{100}}{y + \frac{350 y}{100}} = \frac{5}{12}$

$\Rightarrow \frac{x + 2 x}{y + \frac{7 y}{2}} = \frac{5}{12}$

$\Rightarrow \frac{3 x}{\frac{2 y + 7 y}{2}} = \frac{5}{12}$

$\Rightarrow \frac{3 x}{\frac{9 y}{2}} = \frac{5}{12}$

$\Rightarrow \frac{3 x}{1} \times \frac{2}{9 y} = \frac{5}{12}$

$\Rightarrow \frac{2 x}{3 y} = \frac{5}{12}$

$\Rightarrow \frac{x}{y} = \frac{5 \times 3}{12 \times 2}$

$∴ \frac{x}{y} = \frac{5}{8}$

অতএব, মূল ভগ্নাংশটি $\frac{5}{8}$

General Knowledge and Aptitude Test

8.

A boat travel with a speed of 10 km/hr in still water. If the speed of the stream is 3 km/hr then find the time taken by boat to travel 52 km downstream.

General Knowledge and Aptitude Test

9.

There are two numbers, 1st number is 12 more than the 200 number. The average of the two numbers is 19. If 2 is added in both numbers, find the ratio of the numbers.

General Knowledge and Aptitude Test

10.

In a box there are 10 apples and 2/5 of the apples are rotten. If three apples are taken out from the box, what will be the probability that at least one apple a rotten.

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