Job Solution | Dhaka Bank Ltd

Dhaka Bank Ltd. || Trainee Office (05-02-2021) || 2021

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গণিত

Solve the following problems:

R is list of 15 consecutive integers, and T is a list of 21 consecutive integers. The median of the integers in list R is equal to the least integer in list. Combined lists are combined into one th of 36 integers, how many different integers are on the combined list?

$A s, R c o n t a i n s 15 c o n s e c u t i v e i n t e g e r s, t h e n l i s t o f R m a y b e :$

R - 7, R - 6, R - 5, R - 4, R - 3, R - 2, R - 1

R + 1, R + 2, R + 3, R + 4, R + 5, R + 6, R + 7

Here, R = Median

$A g a i n, A s T c o n t a i n s 21 c o n s e c u t i v e i n t e g e r s, t h e n l i s t o f T m a y b e$

R + 1, R + 2, R + 3, R + 4, R + 5 . R + 6 . R + 7

R + 8 R + 9 R + 10 R + 11 R + 12, R + 13, R + 14, R + 15, R + 16, R + 17, R + 18

R + 19, R + 20

$H e r e, A s t h e m e d i a n o f t h e i n t e g e r s i n l i s t R i s e q u a l t o t h e l e a s t i n t e g e r i n l i s t T (A s R = R) .$

$N o w, i f t h e t w o l i s t s a r e c o m b i n e d i n t o o n e l i s t o f 36$

$I n t e g e r s, t h e n u m b e r o f d i f f e r e n t i n t e g e r s a r e o n t h e$

$C o m b i n e d l i s t a r e = 36 - 8 (A s, R, R + 1, R + 2, R + 3, R + 4, R + 5, R + 6, R + a r e s a m e n u m b e r s)$

Solve the following problems:

A car dealer received a shipment of cars, half of which were black, with the remainder consisting of equal numbers of blue, silver and white cars. During the next month, 70 percent. of the black cars, 80 percent of the blue cars, 30 percent of the silver cars and 40 percent of the white cars were sold. What percent of the cars in the shipment were sold during that month?

$L e t, t h e n u m b e r o f t o t a l c a r s i s 60$

$W h e r e a s, t h e n u m b e r o f b l a c k c a r s i s 30$

$A n d t h e n u m b e r o f b l u e c a r s i s 10$

$A n d t h e n u m b e r o f s i l v e r c a r s i s 10$

$A n d t h e n u m b e r o f w h i t e c a r s i s 10$

$∴ T o t a l c a r i n i t i a l l y = 30 + 10 + 10 + 10 = 60$

$D u r i n g t h e n e x t m o n t h, B l a c k c a r s s o l d 70 % o f 30 = 21$

$∴ B l u e c a r s s o l d 80 % o f 10 = 8 ∴ S i l v e r c a r s s o l d 30 % o f 10 = 3$

$∴ W h i t e c a r s s o l d 40 % o f 10 = 4 ∴ T h e n u m b e r o f s o l d c a r s = 21 + 8 + 3 + 4 = 36$

$∴ T h e p e r c e n t a g e o f c a r s i n t h e s h i p m e n t w e r e s o l d d u r i n g t h a t m o n t h = (\frac{36}{60} \times 100) % = 60 %$

Answer: 60%

Solve the following problems:

The graph above shows the distribution of three different flavors of hard candies-cherry, lemon and lime - in a candy jar. If all the lemon candies are removed and no other candies are added or removed, what fraction of the remaining candies in the jar will be lime candies?

$I f t h e l e m o n c a n d i e s a r e r e m o v e d,$

$T h e n 85 % o f t h e o r i g i n a l n u m b e r o f c a n d i e s w i l l r e m a i n .$

$A m o n g t h e m, t h e f r a c t i o n o f l i m e c a n d i e s w i l l b e = \frac{25}{85} = \frac{5}{17}$

$A n s w e r : \frac{5}{17}$

Solve the following problems:

An employee's annual salary was increased $15,000. If her new annual salary now equals $90,000 what was the percent increase?

$H e r e, n e w a n n u a l s a l a r y = $ 90, 000$

$S a l a r y i n c r e a s e = $ 15$

$∴ O r i g i n a l s a l a r y = $ 90000 - $ 15, 000 = $ 75, 000$

$∴ P e r c e n t a g e i n c r e a s e = (\frac{$ 15000}{$ 75000} \times 100) % = 20 %$

Job Solution | Dhaka Bank Ltd

Dhaka Bank Ltd. || Trainee Office (05-02-2021) || 2021

All

গণিত

R is list of 15 consecutive integers, and T is a list of 21 consecutive integers. The median of the integers in list R is equal to the least integer in list. Combined lists are combined into one th of 36 integers, how many different integers are on the combined list?

The graph above shows the distribution of three different flavors of hard candies-cherry, lemon and lime - in a candy jar. If all the lemon candies are removed and no other candies are added or removed, what fraction of the remaining candies in the jar will be lime candies?

An employee's annual salary was increased $15,000. If her new annual salary now equals $90,000 what was the percent increase?

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