1201 . 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.

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:

1203 . 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

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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

1204 . 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

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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.

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

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

1206 . 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%

1207 . 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.

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

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

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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.

1209 . 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

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Answer: Option C

Explanation:

1210 . 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

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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.

1211 . 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

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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

1212 . A worker union contract specifies a 6% salary increase plus a Tk. 450 bonus for each worker. For a worker, this is equivalent to 8% salary increase. What was this woker's salary before the new contact?

A. 21,500
B. 22,000
C. 22,500
D. 23,500

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Answer: Option C

Explanation:

ধরি, পূর্বে salary ছিল x টাকা
∴(x × 6%)+450=x × 8%
⇒6x/100+450=8x/100
⇒6x+45000/100=8x/100
⇒6x + 45000 = 8x
⇒2x = 45000
∴x = 22500

বাখরাবাদ গ্যাস ফিল্ড লি. || সহকারী ব্যবস্থাপক (সাধারণ) (16-10-2021)

A. Tk.90
B. Tk.138
C. Tk 150
D. Tk. 160

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Answer: Option A

Explanation:

প্রশ্নঅনুসারে, একজন শ্রমিককে ৭ দিনের জন্য ভাড়া করা হয় তাকে পূর্ববর্তী দিনের চেয়ে পরবর্তী প্রতিদিন ১০ টাকা বেশি প্রদান করা হয়।

ধরি, starting payment ছিলো x টাকা

2nd day ( x + 10) , 3rd day ( x + 20) , 4th day ( x + 30) , 5th day ( x + 40) , 6th day ( x + 50) , 7th day ( x + 60) টাকা

প্রশ্নমতে, x + x + 10 + x + 20 + x + 30 = x + 40 + x + 50 + x + 60

4x + 60 = 3x + 150

x = 90.

সমন্বিত ৮ ব্যাংক ও ১ টি আর্থিক প্রতিষ্ঠান || সিনিয়র অফিসার (সাধারণ) (20-01-2023)

A. 4 days
B. 6 days
C. 8 days
D. 18 days

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Answer: Option A

Explanation:

B এর সময় লাগে = 12 দিন

A এর সময় লাগে = 12/2 = 6 দিন

কাজটি দুজনে একত্রে করলে মোট সময় লাগে

= 12 × 6 / 12 + 6 = 72 /18 = 4 দিন।

1215 . A wristwatch was sold at 10% profit. If the cost was 15% less and the selling price was Tk. 20 less, then the trader would have made a profit of 20%. What was the cost of the wristwatch?

A. Tk. 275
B. Tk. 250
C. Tk. 212.5
D. Tk. 255
E. None of these

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Answer: Option B

Explanation:

Let cp is 100, sp is 110,

At 15% less cp is = 85, at 20% profit sp = 85*120% = 102,

Difference in sp = 110 - 102 = 8,

Now, 8 = 20,

So,100 = 20*100/8 = 250 tk

Ans. 250 tk

1201 . 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 -

1202 . 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 --

1203 . 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?

1204 . 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?

1205 . 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?

1206 . 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?

1207 . 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?

1208 . 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?

1209 . 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?

1210 . 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?

1211 . 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?

1212 . A worker union contract specifies a 6% salary increase plus a Tk. 450 bonus for each worker. For a worker, this is equivalent to 8% salary increase. What was this woker's salary before the new contact?

1213 . A worker was hired for 7 days. Each day, he was paid Tk. 10 more than what he was paid for the previous day of work. The total amount he was paid in the first 4 days of work equaled the total amount he was paid in the last 3 days. What was his starting pay?

1214 . A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work is:

1215 . A wristwatch was sold at 10% profit. If the cost was 15% less and the selling price was Tk. 20 less, then the trader would have made a profit of 20%. What was the cost of the wristwatch?

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