1261 . 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

View Answer	Favorite Question

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

প্রিমিয়াম প্ল্যান: ১ মাস

99 ৳

৩০ দিনের জন্য সকল লাইভ এবং আর্কাইভ মডেল টেস্ট, প্রশ্ন ব্যাংক ও লেকচার শিট সহ অ্যাপ এর প্রিমিয়াম সব এক্সেস পাবেন।

সাবস্ক্রিপশন লিংক

1262 . 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

View Answer	Favorite Question

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

1263 . 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

View Answer	Favorite Question

Answer: Option C

Explanation:

Number of rotation per hour = 10 x 60 = 600

Movement per hour = 600 x 20 = 12000 ft

1264 . 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

View Answer	Favorite Question

Answer: Option D

Explanation:

Number of rotation per hour = 10 x 60 = 600

Movement per hour = 600 x 20 = 12000 ft

1265 . 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

View Answer	Favorite Question

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.

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

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

View Answer	Favorite Question

Answer: Option D

Explanation:

1267 . A wholesaler bought 1200 pens/radios for Tk.18 each. He sold 60% of the pens for Tk.30 each and remaining for Tk.15 each. What was his average profit per pen/radio?

A. Tk.4
B. Tk.6
C. Tk.12
D. Tk.3

View Answer	Favorite Question

Answer: Option B

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

1268 . 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?

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

View Answer	Favorite Question

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.

বাংলাদেশ ব্যাংক || অফিসার (ক্যাশ) (21-07-2023)

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

View Answer	Favorite Question

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

1270 . 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%

View Answer	Favorite Question

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%

1271 . 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

View Answer	Favorite Question

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.

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

A. 30
B. 35
C. 36
D. 40

View Answer	Favorite Question

Answer: Option D

Explanation:

Let, the present age of Mira is x

so her sons' present age is x/30

18 year later, the age of Mira will x + 18 and the age of her son will (x/30) + 18

Now, according to the question,

x + 18 = 3{(x/30) + 18}

or, x + 18 = (x/10) + 54

or, 10x + 180 = x + 540 [Multiplying both sides by 10]

or, 10x - x = 540 - 180

or, 9x = 360

or, x = 360/9

or, x = 40.

Ans: The present age of Mira is 40.

1273 . A woman says, "If you reverse my own age , the figures represent my husband's age. He is senior to me and the difference between our ages is one-eleventh of their sum." What is her age now?

A. 23 years
B. 34 years
C. 45 years
D. 50 years
E. None of these

View Answer	Favorite Question

Answer: Option C

Explanation:

1274 . A woman says, "If you revise my own age, the figure represents my husband's age. He is, of course, senior to me and the difference between our ages is one eleventh of our sum. " What is the age of the woman?

A. 23
B. 34
C. 45
D. 54

View Answer	Favorite Question

Answer: Option C

Explanation:

The correct option is C 45 years
Let x and y be the ten's and unit's digits respectively of the numeral denoting the woman's age.
Then, woman's age =(10x+y) years; husband's age =(10y+x) years.
Therefore (10y+x)−(10x+y)=(1/11)(10y+x+10x+y)
⇔(9y−9x)=(1/11)(11y+11x)=(x+y)⇔10x=8y⇔x=(4/5)y
Clearly, y should be a single-digit multiple of 5, which is 5.
So, x=4, y=5.
Hence, woman's age =10x+y=45 years.

1275 . A woman was 30 years old when her daughter was born. Her age is now 6 years more than three times her daughter's age. How old will the daughter be in 5 years?

A. 17
B. 15
C. 19
D. 18

View Answer	Favorite Question

Answer: Option A

Explanation:

Hints: ধরি,

কন্যার বর্তমান বয়স x বছর

মায়ের বর্তমান বয়স ( 30 + x) বছর

3x = (30 + x) - 6

3x = 30 + x - 6

x = 12

5 বছর পরে কন্যার বয়স হবে ( 12 + 5) = 17 বছর

1261 . 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 ?

1262 . A wheel makes 1000 revolutions in covering a distance of 88 km. The diameter of the wheel is---

1263 . A wheel rotates 10 times per minute and moves 20 feet during each rotation. How many feet does the wheel move in 1 hour?

1264 . A wheel rotates 10 times per minutes and moves 20 m during each rotation . How many feet does the wheel move in 1 hour?

1265 . 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 -

1266 . 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 --

1267 . A wholesaler bought 1200 pens/radios for Tk.18 each. He sold 60% of the pens for Tk.30 each and remaining for Tk.15 each. What was his average profit per pen/radio?

1268 . 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?

1269 . 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?

1270 . 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?

1271 . 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?

1272 . A woman is 30 times older than her son. 18 years later she will be thrice as old as her son. What is the woman’s present age in years?

1273 . A woman says, "If you reverse my own age , the figures represent my husband's age. He is senior to me and the difference between our ages is one-eleventh of their sum." What is her age now?

1274 . A woman says, "If you revise my own age, the figure represents my husband's age. He is, of course, senior to me and the difference between our ages is one eleventh of our sum. " What is the age of the woman?

1275 . A woman was 30 years old when her daughter was born. Her age is now 6 years more than three times her daughter's age. How old will the daughter be in 5 years?

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