Solve the following problems:

There are three pumps P, Q and R with a tank. P. Q and R simultaneously can fill the tank in 5 hours. Again P and Q simultaneously can fill the tank in 7 hours. Then how many hours R need to fill the tank alone?

Created: 5 months ago | Updated: 1 week ago

Job Solution Dhaka Bank Ltd Dhaka Bank Ltd. || Trainee Assistant Officer (05-02-2021) || 2021 গণিত

$(P + R + T) t a k e 5 h o u r s t o f i l l u p 1 \tan k$

$∴ (P + R + T) t a k e 1 h o u r t o f i l l u p \frac{1}{5} p a r t o f \tan k$

$A g a i n, (P + R) t a k e 7 h o u r s t o f i l l u p 1 \tan k$

$∴ (P + R) t a k e 1 h o u r t o f i l l u p \frac{1}{7} p a r t o f \tan k$

$∴ I n 1 h o u r, T c a n f i l l u p = (\frac{1}{5} - \frac{1}{7}) = \frac{7 - 5}{35} = \frac{2}{35} p a r t o f \tan k$

$N o w, \frac{2}{35} o f \tan k i s f i l l e d b y T i n 1 h o u r$

$∴ 1 o r c o m p l e t e p a r t o f \tan k i s f i l l e d b y T i n = \frac{35 \times 1}{2} = 17 \frac{1}{2} h o u r s$

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A triangular plot with sides of 25 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?

Created: 5 months ago | Updated: 1 week ago

Job Solution Dhaka Bank Ltd Dhaka Bank Ltd. || Trainee Assistant Cash Officer (12-04-2019) || 2019 গণিত

473

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Solve the following problems:

In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either courses?

Created: 5 months ago | Updated: 1 week ago

Job Solution Dhaka Bank Ltd Dhaka Bank Ltd. || Trainee Assistant Cash Officer (12-04-2019) || 2019 গণিত

467

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Solve the following problems:

The average age of 12 children is 15 years. If another child comes the average age comes to 14. What is the age of the new child?

Created: 5 months ago | Updated: 1 week ago

Job Solution Dhaka Bank Ltd Dhaka Bank Ltd. || Trainee Assistant Cash Officer (12-04-2019) || 2019 গণিত

470

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Solve the following problems:

$f i n d t h e v a l u e o f n, i f 27^{- \frac{1}{3^{n}}} = 243$

Created: 5 months ago | Updated: 1 week ago

Job Solution Dhaka Bank Ltd Dhaka Bank Ltd. || Trainee Assistant Cash Officer (12-04-2019) || 2019 গণিত

469

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Solve the following problems:

if 16+4x is 10 more than 14, what is the value of 8x?

Created: 5 months ago | Updated: 1 week ago

Job Solution Dhaka Bank Ltd Dhaka Bank Ltd. || Trainee Assistant Cash Officer (12-04-2019) || 2019 গণিত

469

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Solve the following problems:

There are three pumps P, Q and R with a tank. P. Q and R simultaneously can fill the tank in 5 hours. Again P and Q simultaneously can fill the tank in 7 hours. Then how many hours R need to fill the tank alone?

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A triangular plot with sides of 25 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?

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In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either courses?

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Solve the following problems:

if 16+4x is 10 more than 14, what is the value of 8x?

$f i n d t h e v a l u e o f n, i f 27^{- \frac{1}{3^{n}}} = 243$