9466 . If 2x - 3y = 6, then 6y - 4x = ?

A. -12
B. -6
C. 6
D. 12

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Answer: Option A

Explanation:

To find the value of 6y - 4x when 2x - 3y = 6, you can rearrange the first equation to isolate 2x:
2x = 6 + 3y
Now, divide both sides by 2:
x = 3 + (3/2)y
Now, you can use this expression for x to find 6y - 4x:
6y - 4x = 6y - 4(3 + (3/2)y)
Now, distribute the -4 on the right side:
6y - 4x = 6y - 12 - 6y
Now, you can see that the 6y terms cancel out:
6y - 4x = -12
So, 6y - 4x equals -12.

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বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(সহকারী পরিচালক) 19-06-2021

A. 100
B. 110
C. 115
D. 120

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Answer: Option A

Explanation:

To determine how fast Luke needs to drive for the final 200 miles of the trip, you can use the formula:

Time = Distance / Speed

First, calculate the time it took for the first 300 miles at 60 miles per hour:

Time for the first 300 miles = 300 miles / 60 mph = 5 hours

Now, you know that the total time of the trip is 7 hours, and you've already spent 5 hours on the first 300 miles. So, you have 7 - 5 = 2 hours left for the remaining 200 miles.

Now, use the time and distance to calculate the required speed for the final 200 miles:

Speed = Distance / Time

Speed = 200 miles / 2 hours = 100 mph

So, Luke needs to drive at 100 miles per hour for the final 200 miles of the trip to complete it in 7 hours.

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বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(সহকারী পরিচালক) 19-06-2021

A. 5
B. 9
C. 15
D. 18

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Answer: Option B

Explanation:

To find how long it would take for Michael and Emon to shovel the snow together, you can use the concept of their combined work rates.

Let M be Michael's work rate (driveways per minute) and E be Emon's work rate (driveways per minute).

Michael can shovel one driveway in 12 minutes, so his work rate is:

M = 1 driveway / 12 minutes = 1/12 driveways per minute

Emon can shovel one driveway in 36 minutes, so his work rate is:

E = 1 driveway / 36 minutes = 1/36 driveways per minute

When they work together, their combined work rate is the sum of their individual work rates:

Combined Work Rate = M + E = (1/12 + 1/36) driveways per minute

Now, find a common denominator to add the fractions:

Combined Work Rate = (3/36 + 1/36) driveways per minute = 4/36 driveways per minute

Simplify the fraction:

Combined Work Rate = 1/9 driveways per minute

Now that you know their combined work rate, you can calculate how long it would take for them to shovel one standard driveway together:

Time = 1 driveway / Combined Work Rate = 1 / (1/9) = 9 minutes

So, it would take Michael and Emon 9 minutes to shovel all the snow of a standard driveway together.

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বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(সহকারী পরিচালক) 19-06-2021

A. 1,2,3
B. 6,8,10
C. 2,4,6
D. 4,7,10

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Answer: Option D

Explanation:

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বাংলাদেশ অর্থনৈতিক অঞ্চল কর্তৃপক্ষ (সহকারী ব্যবস্থাপক) 25-09-2020

A. 4/3
B. 5/3
C. 7/3
D. 8/3

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Answer: Option D

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বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(সহকারী পরিচালক) 19-06-2021

A. 540
B. 600
C. 660
D. 720

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Answer: Option B

Explanation:

Let's use algebra to solve this problem.

Let A be the number of apple seeds and O be the number of orange seeds that Sue planted.

According to the given information:

1. A = 4O (Sue planted 4 times as many apple seeds as orange seeds).
2. 15% of the apple seeds grew into trees, so 0.15A apple trees grew.
3. 10% of the orange seeds grew into trees, so 0.10O orange trees grew.
4. The total number of trees is 420: A + O = 420.

Now, we can set up a system of equations based on the above information:

From equation 1, we have: A = 4O

From equations 2 and 3, we know the total number of trees: 0.15A + 0.10O = 420

Now, substitute the value of A from equation 1 into equation 2: 0.15(4O) + 0.10O = 420

Simplify the equation: 0.60O + 0.10O = 420

Combine like terms: 0.70O = 420

Now, solve for O (the number of orange seeds): O = 420 / 0.70 O = 600

So, Sue planted 600 orange seeds.

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বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(সহকারী পরিচালক) 19-06-2021

A. 0.16
B. 0.1633
C. 0.1667
D. 0.166

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Answer: Option C

Explanation:

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বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(সহকারী পরিচালক) 19-06-2021

A. 14
B. 18
C. 22
D. 26

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Answer: Option A

Explanation:

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বাংলাদেশ পেট্রোলিয়াম ইনস্টিটিউট (সহকারী পরিচালক) 18-12-2020 || 2020

A. 3
B. 2
C. 4
D. 5

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Answer: Option A

Explanation:

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বাংলাদেশ পেট্রোলিয়াম ইনস্টিটিউট (সহকারী পরিচালক) 18-12-2020 || 2020

A. 50
B. 110
C. 45
D. 60

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Answer: Option A

Explanation:

Purchase cost of pen = (55*100)/110

= 50 tk (Ans)

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পল্লী বিদ্যুতায়ন বোর্ড। এসিস্ট্যান্ট এনফোর্সমেন্ট কোঅডিনেটর। 31-12-2021

A. -30.0377
B. -29.0377
C. -32.8246
D. -31.0377

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Answer: Option A

Explanation:

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9477 . A 60 litre mixture of sugar and water contains sugar adn water in the ratio 2 : 3 . How many litres of the mixture should be replaced by sugar so that the ratio of sugar and water becomes 1 : 1?

A. 6
B. 10
C. 15
D. None

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Answer: Option B

Explanation:

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গ্যাস ট্রান্সমিশন কোম্পানি লিমিটেড | সহকারী ব্যবস্থাপক | ২০.০৪.২০১৮

A. 5 : 2
B. 5 : 3
C. 7 : 5
D. None

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Answer: Option A

Explanation:

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9479 . In a certain town, the ratio of the number of rented residences to the number of owned residences is 7 : 4. Those are the only two kinds of residences in this town. If there are 150 more rented than owned residences in this town, what is the total number of residences in the town?

A. 200
B. 350
C. 550
D. 700

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Answer: Option C

Explanation:

Let R be the number of rented residences and O be the number of owned residences.

According to the given information, we have the ratio of rented to owned residences as 7:4:

R/O = 7/4

We are also given that there are 150 more rented residences than owned residences:

R = O + 150

Now, we can set up a system of equations to solve for R and O:

R/O = 7/4
R = O + 150
To eliminate R, we can use the second equation:

R = O + 150

Now, substitute this expression for R into the first equation:

(O + 150)/O = 7/4

Cross-multiply to solve for O:

4(O + 150) = 7O

4O + 600 = 7O

Subtract 4O from both sides:

600 = 3O

Now, divide by 3:

O = 600/3 O = 200

Now that we know the number of owned residences (O), we can find the number of rented residences (R) using the second equation:

R = O + 150 R = 200 + 150 R = 350

So, there are 200 owned residences and 350 rented residences in the town. To find the total number of residences, simply add these two numbers together:

Total = Owned + Rented Total = 200 + 350 Total = 550

Therefore, the total number of residences in the town is 550.

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বাংলাদেশ সিকিউরিটিজ অ্যান্ড এক্সচেঞ্জ কমিশন(সহকারী পরিচালক) 19-06-2021

A. প্রথম
B. দ্বিতীয়
C. তৃতীয়
D. চতুর্থ

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Answer: Option B

Explanation:

( - , + ) ( + , + )

২য় | ১ম

৩য় | ৪র্থ

( - , - ) ( + , - )

( - 3, 4) বিন্দুটি দ্বিতীয় চতুর্ভাগে অবস্থিত ।

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9466 . If 2x - 3y = 6, then 6y - 4x = ?

9467 . Luke drives the first 300 miles of a trip at 60 miles an hour. How fast does he have to drive, in miles per hour, on the final 200 miles of the trip if the total time of the trip is to equal 7 hourns?

9468 . If Michael can shovel all the snow of a standard driveway in 12 minutes, and Emon can shovel all the snow of a standard driveway in 36 minutes, then working together, how many minutes would it take for them both to shovel all the snow of a standard driveway?

9469 . Of the following list of numbers, which has the greatest standard deviation?

9470 . A container holds 4 quarts of chemical and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts chemical to 5 parts water by volume?

9471 . Sue planted 4 times as many apple seeds as she planted orange seeds. 15% of the apple seeds grew into trees, and 10% of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?

9472 . If y exceeds x by 20%, then x is less than y by:

9473 . In the coordinate plane, line m passes through the origin and has a slope of 3. If points (6,y) and (x,12) are on line m, then y - x = ?

9474 . The average of several exam scores is 80. One make-up exam was given. Included with the other scores, the new average was 84. If the score on the make up exam was 92, how many total exams were give?

9475 . If a pen is sold at taka 55 it makes a profit of 10%. What is its purchase cost?

9476 . 0.9623 - 31 = কত?

9477 . A 60 litre mixture of sugar and water contains sugar adn water in the ratio 2 : 3 . How many litres of the mixture should be replaced by sugar so that the ratio of sugar and water becomes 1 : 1?

9478 . Price of 2 pencils is less than 20% of price of a pen. What is the ratio of the price a pen to that of a pencil?

9479 . In a certain town, the ratio of the number of rented residences to the number of owned residences is 7 : 4. Those are the only two kinds of residences in this town. If there are 150 more rented than owned residences in this town, what is the total number of residences in the town?

9480 . (-3, 4) বিন্দুটি কোন চতুর্থভাগে অবস্থিত?

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