5th full. What is the capacity of the reservoir (in liters)?

A. 40
B. 30
C. 60
D. 50

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Answer: Option D

Explanation:

Hints: 1/5th full আচে, 20 liter লাগে তখন 3/5th করতে। তাহলে ( 3/5 - 1/5) বা, 2/5 অংশ হচ্ছে 20 liter, তাহলে সম্পূর্ণ অংশ = 20 × 5/2 = 50 liter

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1307 . A Water reservoir is 1/5th full and requires 20 liters more to make it 3/5th full. What is the capacity of the reservoir ?

A. 40
B. 50
C. 60
D. None of these

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Answer: Option B

Explanation:

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Bangladesh Bank - Officer - 2001

A. 30 min
B. 40 min
C. 42 min
D. 57 min
E. None of these

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Answer: Option A

Explanation:

Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24

Suppose , the tank is filled in x minutes

Then x/2 ( 1/24 + 1/40) = 1

x/2 × 1/15 = 1

x = 30 min

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1309 . A water tank has two taps (Tap-1 and Tap-2) . Tap -1 can fill a tank in 8 hours and Tap-2 can empty the tank in 16 hours . How long will they take to fill the tank if both taps are opened simultaneously but Tap-2 is closed after 8 hours ?

A. 10
B. 12
C. 14
D. 16

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Answer: Option B

Explanation:

Let's find the rates at which each tap can fill or empty the tank:

Tap-1 can fill the tank in 8 hours, so its rate is 1 tank per 8 hours, which can be represented as 1/8 tank per hour.

Tap-2 can empty the tank in 16 hours, so its rate is -1 tank per 16 hours, which can be represented as -1/16 tank per hour since it's emptying the tank.

Now, when both taps are opened simultaneously, their rates are combined. So, the combined rate of filling the tank when both taps are open is:

Rate = (Rate of Tap-1) + (Rate of Tap-2) Rate = (1/8) + (-1/16)

Now, let's find a common denominator to add the rates:

Rate = (2/16) - (1/16) Rate = 1/16 tank per hour

So, when both taps are open, they fill the tank at a rate of 1/16 tank per hour.

Now, we want to know how long it takes to fill the tank completely. Let's denote the time it takes to fill the tank as "t" hours.

During the first 8 hours, both taps are open, so they fill the tank at a rate of 1/16 tank per hour for 8 hours:

(1/16) * 8 = 1/2 tank (filled in the first 8 hours)

Now, for the remaining time "t - 8" hours, only Tap-1 is open, and it fills the tank at a rate of 1/8 tank per hour:

(1/8) * (t - 8) = (t - 8)/8 tank (filled in the remaining time)

The total tank capacity is 1 (since we want to fill the tank completely).

So, we can write the equation:

1/2 (filled in the first 8 hours) + (t - 8)/8 (filled in the remaining time) = 1 (total capacity)

Now, solve for "t":

1/2 + (t - 8)/8 = 1

Multiply both sides by 8 to get rid of the fractions:

4 + t - 8 = 8

Now, isolate "t":

t - 4 = 8

t = 8 + 4 t = 12

So, it will take 12 hours to fill the tank completely if both taps are opened simultaneously, but Tap-2 is closed after 8 hours.

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Basic bank recruitment 2018; auditor 26.01.2018 || Image 2018

A. 800
B. 1600
C. 2000
D. 500

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Answer: Option A

Explanation:

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1311 . A water tank is two-fifth full. Pipe A can fill a tank on 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ?

A. 6 min to empty
B. 6 min to fill
C. 9 min to empty
D. 9 min to fill

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Answer: Option A

Explanation:

Hints: Clearly, pipe B is faster than pipe A and So, the tank will be emptied.Part to be emptied = 2/5 part emptied by ( A + B) in 1 minute =

1/6 - 1/10 = 1/15

1/15 : 2/5 = 1/x

1/15 × 5/2 = 1/ x

x = 30 /5

x = 6

So, tank will be emptied in 6 min

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1312 . A wheel makes 1000 revolutions in covering a distance of 88 km. The diameter of the wheel is---

A. 28m
B. 40m
C. 14m
D. 10m

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Answer: Option A

Explanation:

A distance equal to the circumference of the wheel is covered in each revolution.

So, 1000 x circumference = total distance

or, 1000 x 2πr = 88000 [in meter]

or, 2r = 88000 / (1000 x π )

or, diameter = 28 m

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1313 . A wheel rotates 10 times per minute and moves 20 feet during each rotation. How many feet does the wheel move in 1 hour?

A. 1200
B. 24
C. 12000
D. 18000

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Answer: Option C

Explanation:

Number of rotation per hour = 10 x 60 = 600

Movement per hour = 600 x 20 = 12000 ft

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1314 . A wheel rotates 10 times per minutes and moves 20 m during each rotation . How many feet does the wheel move in 1 hour?

A. 10000
B. 20000
C. 18000
D. 12000

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Answer: Option D

Explanation:

Number of rotation per hour = 10 x 60 = 600

Movement per hour = 600 x 20 = 12000 ft

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1315 . A wheel that has 6 cogs in meshed with a larger wheel if 14 cogs. When the smaller wheel has made 21 revolutions, the number of revolutions made by the larger wheel will be -

A. 5
B. 8
C. 10
D. 9

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Answer: Option D

Explanation:

To find the number of revolutions the larger wheel with 14 cogs will make when the smaller wheel with 6 cogs makes 21 revolutions, you can use the concept of gear ratios. The ratio of the number of cogs on the smaller wheel to the number of cogs on the larger wheel is a key factor in determining their relative speeds and revolutions.

In this case, the ratio of cogs on the smaller wheel to cogs on the larger wheel is 6/14, which can be simplified to 3/7.

Now, if the smaller wheel makes 21 revolutions, the larger wheel will make:

Number of revolutions of larger wheel = (Number of revolutions of smaller wheel) * (Ratio of cogs on larger wheel to cogs on smaller wheel)

Number of revolutions of larger wheel = 21 * (3/7)

Number of revolutions of larger wheel = (21 * 3) / 7

Number of revolutions of larger wheel = 63 / 7

Number of revolutions of larger wheel = 9

So, the larger wheel with 14 cogs will make 9 revolutions when the smaller wheel with 6 cogs makes 21 revolutions.

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সিকিউরিটি প্রিন্টিং কর্পোরেশন বাংলাদেশ | সহকারী ব্যবস্থাপক- 26-11-2021

A. 4
B. 9
C. 12
D. 49
E. None

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Answer: Option D

Explanation:

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Probationary Officer | 31.03.2017 ||

A. Tk. 6
B. Tk. 5
C. Tk. 4
D. Tk. 3

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Answer: Option A

Explanation:

Cost price = 1200×18 = 21600

Revenue = (60% of 1200)×30 + (40% of 1200)×15 = 21600 + 7200 = 28800

Profit = 28800 - 21600 = 7200

Profit per radio = 7200 / 1200 = 6 TK.

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Jamuna Bank Ltd - Probationary Officer - 2009

A. Tk.6.5
B. Tk.13
C. Tk.7
D. Tk.5

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Answer: Option A

Explanation:

কিনতে খরচ হয়েছে = ২১০০ ×২ = ৪২০০ টাকা

২১০০ এর ৫০% = ১০৫০ টাকা

বিক্রি করে পেয়েছেন = (১০৫০ ×৩৫) + (১০৫০×১৮) = ৫৫৬৫০

লাভ = ৫৫৬৫০ - ৪২০০০ = ১৩৬৫০

গড় = ১৩৬৫০/২১০০

= ৬.৫ টাকা

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1319 . A wholesaler sells goods to a retailer at profit of 20%. The retailer sells to the customer, who pays 80% more than the cost of the wholeseler. What is the retailer's profit?

A. 30%
B. 40%
C. 50%
D. 60%

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Answer: Option C

Explanation:

ধরি, পাইকারি বিক্রেতার ক্রয়মূল্য ১০০ টাকা

২০% লাভে, পাইকারি বিক্রেতার বিক্রয়মূল্য ১২০ টাকা

খুচরা বিক্রেতার ক্রয়মূল্য ১২০ টাকা

খুচরা বিক্রেতার বিক্রয়মূল্য ( ১০০ + ১০০ এর ৮০%) টাকা = ১৮০ টাকা

খুচরা বিক্রেতার লাভ = ( ১৮০ - ১২০) টাকা = ৬০ টাকা

লাভের হার = ( ৬০/১২০ ×১০০)% = ৫০%

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1320 . A woman buys 50 eggs for $6.60. Some cost 12 cents each and the rest 14 cents each. How many eggs has she bought at 14 cents each?

A. 20
B. 25
C. 30
D. 35

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Answer: Option C

Explanation:

Let, x eggs at 12 cents each and y eggs at 14 cents each.

1 dollar = 100 cents.

So, 12x + 14y = 660 and x + y = 50.

Solving these two, we get x = 20, y = 30.

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সমন্বিত ৫ ব্যাংক || অফিসার (ক্যাশ) (11-03-2022)

1306 . A water reservoir is 1/5th full and requires 20 liters more to make it 3/5th full. What is the capacity of the reservoir (in liters)?

1307 . A Water reservoir is 1/5th full and requires 20 liters more to make it 3/5th full. What is the capacity of the reservoir ?

1308 . A water tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tankfrom empty state if B is used for half the time , and A B fill it together for the other half?

1309 . A water tank has two taps (Tap-1 and Tap-2) . Tap -1 can fill a tank in 8 hours and Tap-2 can empty the tank in 16 hours . How long will they take to fill the tank if both taps are opened simultaneously but Tap-2 is closed after 8 hours ?

1310 . A water tank is 5/8th full. When 100 gallons of water is used the tank is half full. What is the capacity of the water tank?

1311 . A water tank is two-fifth full. Pipe A can fill a tank on 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ?

1312 . A wheel makes 1000 revolutions in covering a distance of 88 km. The diameter of the wheel is---

1313 . A wheel rotates 10 times per minute and moves 20 feet during each rotation. How many feet does the wheel move in 1 hour?

1314 . A wheel rotates 10 times per minutes and moves 20 m during each rotation . How many feet does the wheel move in 1 hour?

1315 . A wheel that has 6 cogs in meshed with a larger wheel if 14 cogs. When the smaller wheel has made 21 revolutions, the number of revolutions made by the larger wheel will be -

1316 . A wheel that has 6 cogs is meshed with a wheel of 14 cogs. When the smaller wheel has made 21 revolutions the number of revelution made by the larger wheel is --

1317 . A wholesaler bought 1200 radios for Tk. 18 each. The wholesaler sold 60 percent of the radios for Tk. 30 each and the rest for Tk. 15 each. What is the wholesaler's average (arithmetic mean) profit per radio?

1318 . A wholesaler bought 2100 books for Tk.20 each. The wholesaler sold 50 percent of the books for Tk.35 each and the rest for Tk.18 each. What was the wholesaler's average profit per book?

1319 . A wholesaler sells goods to a retailer at profit of 20%. The retailer sells to the customer, who pays 80% more than the cost of the wholeseler. What is the retailer's profit?

1320 . A woman buys 50 eggs for $6.60. Some cost 12 cents each and the rest 14 cents each. How many eggs has she bought at 14 cents each?

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