Two pipes A and B can fill a tank in 20 hours and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is $\frac{1}{3}$ full, a leak develops in the tank through which $\frac{1}{3}$ water supplied by both the pipes goes out. How much time will the tank take to be full?

Created: 5 months ago | Updated: 4 weeks ago

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$I n 1 h o u r, A a n d B t o g e t h e r c a n f i l l = \frac{1}{20} + \frac{1}{30} = \frac{3 + 2}{60} = \frac{5}{60} = \frac{1}{12} p a r t o f t h e t a n k ∴ B e f o r e l a e k a g e, b o t h p i p e w o u l d t a k e t o f i l l \frac{1}{3} p a r t o f t h e \tan k = \frac{\frac{1}{3}}{\frac{1}{12}} = \frac{1}{3} \times \frac{12}{1} = 4 h o u r s N o w, i n 1 h o u r, b o t h p i p e s c a n f i l l u p t h e \tan k e f f e c t i v e l y = \frac{1}{12} \times \frac{2}{3} = \frac{1}{18} p a r t R e m a i n t i n g (1 - \frac{1}{3}) = \frac{2}{3} p a r t o f t h e \tan k w i l l t a k e = \frac{\frac{2}{3}}{\frac{1}{18}} = \frac{2}{3} \times \frac{18}{1} = 12 h o u r s ∴ T o t a l t i m e r e q u i r e d = 4 + 12 = 16 h o u r s (a n s .)$

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6 men can complete a piece of work in 12 days. 8 women can complete the same piece of work in 18 days whereas 18 children can complete the piece of work in 10 days. 4 men, 12 women and 20 children work together for 2 days. If only men were to complete the remaining work 1 day how many men would be required totally?

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First bag contains 4 red and 3 black balls. Second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red.

Created: 5 months ago | Updated: 4 weeks ago

Job Solution Joint Recruitment Test Joint Recruitment for 4 Banks || Officer (General) (21-06-2019) || 2019 গণিত

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Job Solution Joint Recruitment Test Joint Recruitment for 4 Banks || Officer (General) (21-06-2019) || 2019 গণিত

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Created: 5 months ago | Updated: 4 weeks ago

Job Solution Joint Recruitment Test Joint Recruitment for 4 Banks || Officer (General) (21-06-2019) || 2019 গণিত

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A, B and C started a business by investing Tk. 24000, Tk. 32000 and Tk. 18000 respectively. A 14 and B are active partners and get 15% and 12% of total profit and remaining profit is to be distributed among them in the ratio of their investment. If C got total Tk. 65,700 as a profit?

Created: 5 months ago | Updated: 4 weeks ago

Job Solution Joint Recruitment Test Joint Recruitment for 4 Banks || Officer (General) (21-06-2019) || 2019 গণিত

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Two pipes A and B can fill a tank in 20 hours and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is 13 full, a leak develops in the tank through which 13 water supplied by both the pipes goes out. How much time will the tank take to be full?

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First bag contains 4 red and 3 black balls. Second bag contains 2 red and 4 black balls. One bag is selected at random. From the selected bag, one ball is drawn. Find the probability that the ball drawn is red.

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