Mathematics

In a village of 100 households, 75 have at least one DVD player, 80 have at least one cell phone and 55 have at least one MP3 player. If.r and y are respectively the greatest and lower possible number of households that have all three of these devices, what is the value of x-y?

Created: 2 months ago | Updated: 2 months ago

Job Solution Bangladesh Bank Bangladesh Bank || AD (General) (18-12-2021) || 2021 গণিত

$H e r e, N u m b e r o f p e o p l e w h o d o n' t h a v e c e l l p h o n e = 100 - 80 = 20 ∴ N u m b e r o f p e o p l e w h o d o n' t h a v e D V D p l a y e r = 100 75 = 25 ∴ N u m b e r o f p e o p l e w h o d o n' t h a v e M P 3 p l a y e r = 100 - 55 = 45 ∴ N u m b e r o f p e o p l e w h o d o n' t h a v e A l l t h e t h r e e d e v i c e s a r e = 20 + 25 + 45 = 90 H e r e, t h e n u m b e r o f p e o p l e w h o h a v e M P 3 p l a y e r = 55 = x A s a l l t h r e e d e v i c e s a r e u s e d b y t h e m . ∴ N u m b e r o f p e o p l e w h o h a v e a l l t h e t h r e e d e v i c e s i s = 100 - 90 = 10 ∴ y = 10 ∴ R e q u i r e d (x - y) = 55 - 10 = 45$

2 months ago

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A man divided his share between his sons A and B in such a way that the interest received by A at 15% p.a. for 3 years is double the interest received by B at 12% p.a. for 5 years. In what ratio was his share divided?