901 . A is 30% more efficient than E How much time will they , working together , take to complete a job which A alone could have done in 23 days?

A. 13 days
B. 15 days
C. 10 days
D. None of these

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Answer: Option A

Explanation:

Ratio of times taken by A and B = 100:130 = 10:13
Suppose B takes x days to do the work.
Then, 10:13 :: 23:x
∴ x = 299/10
A's 1 day's work = 1/23
B's 1 day's work = 10/299

(A+B)'s 1 day's work = (1/23 + 10/299) = 1/13
Therefore, A and B together can complete the work in 13 days.

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Officer (General) |-Sonali | Janata | Bangladesh Krishi_Bangladesh Development bank ২৪.০৫.২০১৯

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902 . A is faster than B,A and B each walk 24km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to :

A. 3 km/hr
B. 5 km/hr
C. 4 km/hr
D. 7 km/hr

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Answer: Option C

Explanation:

ধরি, A এর speed x km/hr ; B এর speed =(7-x) km/hr

প্রশ্নমতে, 24/x + 24/7-x= 14

Or, 168-24x + 24x/x(x-7)=14

Or, 168/x(x-7)=14

Or, 98x-14x^2=168

Or, 7x- x^2=12

Or, x^2- 7x + 12= 0

Or, x^2- 4x- 3x -12= 0

Or, x(x-4)-3 (x-4)=0

or, (x-4) (x-3)=0

X-4= 0 অথবা x-3=0

X=4, x=3

অতএব, A is faster than B,

So, A's speed 4 km/hr

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903 . a is greater than b by 2 and b is greater than c by 10 . If a+ b+ c =130 , then (b+c) -a =?

A. 42
B. 38
C. 34
D. 44

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Answer: Option C

Explanation:

Let, c = x

∴b = x + 10 and

a = x + 12

Now,a + b + c = 130

= > x + 12 + x + 10 + x = 130

= > 3x = 130 - 22 = 108

∴x = (108/3) = 36 i.e, c = 36

∴ b = 46 and a = 48

∴(b + c) - a = (46 + 36) - 48 = 34 Ans.

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904 . A is the widow of B. B & C were the only children of E. C is unmarried and is a doctor. D is the grand-daughter of E and studies science . How is A related to D ?

A. aunt
B. daughter
C. sister
D. sister-in-law
E. None of these

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Answer: Option B

Explanation:

E এর দুইজন সন্তান হচ্ছে যথাক্রমে B ও C. C অবিবাহিত তাই তার কোন সন্তান নেই। B এর বিধবা স্ত্রী A. D, E এর নাতনি। তাই এ সন্তান (কন্যা) অবশ্যই A এর।

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Bangladesh Bank - Assistant Director - 2009

A. 28 days
B. 24 days
C. 25 days
D. 21 days

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Answer: Option D

Explanation:

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জনতা ব্যাংক || অফিসার (আরসি) (28-06-2024) || 2024

A. 7
B. 8
C. 9
D. 10

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Answer: Option D

Explanation:

ধরি, C এর বয়স x বছর

B এর বয়স। 2x বছর

A এর বয়স = ( 2x + 2) বছর

x + 2x + 2x + 2 = 27

5x = 27 - 2

x = 25/5

x = 5

B এর বয়স ( 2 ×5) বছর = 10 বছর

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907 . A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

A. 7
B. 8
C. 9
D. 10

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Answer: Option D

Explanation:

ধরি, C এর বয়স x বছর

B এর বয়স। 2x বছর

A এর বয়স = ( 2x + 2) বছর

x + 2x + 2x + 2 = 27

5x = 27 - 2

x = 25/5

x = 5

B এর বয়স ( 2 ×5) বছর = 10 বছর

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908 . A jar contains 10 red marbles and 30 green marbles . How many red marbles must be added to the jar so that 60% of the marbles will be red ?

A. 25
B. 35
C. 40
D. 60

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Answer: Option B

Explanation:

New percentage of green marbles = 100% - 60% = 40%

Now, 40% of total marbles = 30 [number of green marbles remains unchanged]

So, total number or 100% of marbles = 30 x 100 / 40 = 75

More red marbles required = 75 - (10 + 30) = 35

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909 . A jar contains 4 red toothpicks , 10 blue toothpicks and 6 yellow toothpicks. If three toothpicks are removed from the bag at random and no toothpick is returned to the bag after removal, what is the probability that all three toothpicks will be blue?

A. 1/2
B. 1/8
C. 3/20
D. 2/19
E. None of these

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Answer: Option D

Explanation:

Probability = (10/20) × (9/19)×( 8/18) = 2/19

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910 . A jar contains a mixture of oil and water in the ratio 22 :3 . 50 litres of the mixture was taken out and 25 litres of water was added to it. If water was 34% in the resultant mixture, what was the initial quantity of the mixture (in litres ) in the jar?

A. 175
B. 150
C. 75
D. 125

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Answer: Option D

Explanation:

Let, Oil = 22X & Water = 3X

After removing 22 litre

Oil removed = (22x50)/25 = 44; Here, [22+3 = 25] [removed= 50] [Oil ratio= 22]

Water Removed = (3x50)/25 = 6;Here, [22+3 = 25] [removed= 50] [Water ratio= 3]

Now as per the Question,

>22X-44 : 3X-6+25 = 66:34 [ 34% water So Oil 66% SO ratio 66:34 ]

>374X-748 = 99X+627

>X= 5

So Initial Quantity= 22x5+3x5 = 125 litre. Ans.

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911 . A jar contains milk and water in the ratio 5: 1. If the quantity of milk is more than that of water by 8 liters, then what is the quantity of water?

A. 1.5 liter
B. 2 liter
C. 6 liter
D. 8 liter

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Answer: Option B

Explanation:

ধরি, দুধের পরিমান = 5x
এবং পানির পরিমান = x
প্রশ্নমতে, 5x - x = 8
⇒ 4x = 8
.:. x = 2 লিটার

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912 . A jar contains red balls and green balls in the ratio 3:1. If the jar contains only the two types of balls, which of the following cannot be the number of balls in the jar ?

A. 96
B. 80
C. 72
D. 54

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Answer: Option D

Explanation:

here, sum of ratio = 3 + 1 = 4

96/4 = 24 (divisible)

80/4 = 20 (divisible)

72/4 = 18 (divisible)

54/4 # (it is not divisible by round figure)

so, ans is 54.

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Bangladesh Bank - Officer - 2001

A. 8
B. 10
C. 4
D. 6

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Answer: Option B

Explanation:

পাঁচটি সবুজ বল যোগ করে,

৪x + ৫ = ৫x

বা, x = ৫

সাদা বলের সংখ্যা = ২ × x = ২ × ৫ = ১০

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914 . A jar contains white, red and green marbles in the ratios 2: 3: 5 six more green marbles are added to the jars and then the ratio becomes 2: 3: 7 Hoe may white marbles are there in the jar?

A. 5
B. 6
C. 9
D. 10

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Answer: Option B

Explanation:

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Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

A. 3.6 sec
B. 18 sec
C. 36 sec
D. 72 sec
E. None of these

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Answer: Option C

Explanation:

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901 . A is 30% more efficient than E How much time will they , working together , take to complete a job which A alone could have done in 23 days?

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902 . A is faster than B,A and B each walk 24km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, A's speed is equal to :

903 . a is greater than b by 2 and b is greater than c by 10 . If a+ b+ c =130 , then (b+c) -a =?

904 . A is the widow of B. B & C were the only children of E. C is unmarried and is a doctor. D is the grand-daughter of E and studies science . How is A related to D ?

905 . A is twice as good a workman as B and together they finish a piece of work in 1 day. A alone can finish the work in -

906 . A is two years older than B who is twice as old as C. If the total age of A,B and C is 27, then how old is B ?

907 . A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

908 . A jar contains 10 red marbles and 30 green marbles . How many red marbles must be added to the jar so that 60% of the marbles will be red ?

909 . A jar contains 4 red toothpicks , 10 blue toothpicks and 6 yellow toothpicks. If three toothpicks are removed from the bag at random and no toothpick is returned to the bag after removal, what is the probability that all three toothpicks will be blue?

910 . A jar contains a mixture of oil and water in the ratio 22 :3 . 50 litres of the mixture was taken out and 25 litres of water was added to it. If water was 34% in the resultant mixture, what was the initial quantity of the mixture (in litres ) in the jar?

911 . A jar contains milk and water in the ratio 5: 1. If the quantity of milk is more than that of water by 8 liters, then what is the quantity of water?

912 . A jar contains red balls and green balls in the ratio 3:1. If the jar contains only the two types of balls, which of the following cannot be the number of balls in the jar ?

913 . A jar contains white, red and green marbles in the ratio 2 : 3 : 4. Five more green marbles are added to make the ratio 2 : 3 : 5. How many white marbles are there in the jar?

914 . A jar contains white, red and green marbles in the ratios 2: 3: 5 six more green marbles are added to the jars and then the ratio becomes 2: 3: 7 Hoe may white marbles are there in the jar?

915 . A jogger running at 9 km/hr alongside a railway track is 240 meters ahead of the engine of a 120 meters long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?

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