1501 . 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 = ?

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

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Answer: Option A

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

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1502 . If y exceeds x by 20%, then x is less than y by:

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

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Answer: Option C

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

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Answer: Option D

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

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. 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. -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. -3
B. -1
C. 1
D. 3

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Answer: Option C

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

A. a - 10
B. 2
C. 4
D. 6

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Answer: Option D

Explanation:

x/y= 3
3y=x
y= x/3
এখন, 2x-y= 10
বা, 2x- x/3= 10
বা, 6x-x/3= 10
বা, 5x= 30
x= 6.

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

A. 2
B. 4
C. 6
D. 10

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Answer: Option D

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

A. 6
B. 8
C. 11
D. 15

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Answer: Option B

Explanation:

Total - None = M + A - M∩A

⇒ 50-None = 18 + 26 - 2

⇒ None = 50 - 42

∴ None = 8

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1513 . It takes 5 hours to fill a container using machine A. The same container can be filled using machine B in 10 hours. When the container is full, Machine C can fully empty the container in 20 hours. If all three machines start working on the same empty cont

A. 1/2 hours
B. 4 hours
C. 2 hours
D. 15 hours

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Answer: Option B

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জাতীয় নিরাপত্তা গোয়েন্দা সংস্থা-(NSI) Assistant Director- Research officer &amp- Assistant Programmer-০৮/১০/২০২১

A. 3
B. 6
C. 9
D. 18

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Answer: Option B

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২৮ তম বিসিএস প্রিলিমিনারি টেস্ট (28-11-2008)

A. 6
B. 7
C. 8
D. 9

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Answer: Option C

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ওয়েজ আর্নার্স কল্যাণ বোর্ড || সহকারী পরিচালক (22-11-2024) || 2024

1501 . 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 = ?

BdMerit-এর ১ বছরের প্রিমিয়াম প্যাকেজ কিনে ১০ মাস নিয়মিত প্রস্তুতি নিন—

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1502 . If y exceeds x by 20%, then x is less than y by:

1503 . 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?

1504 . 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?

1505 . Of the following list of numbers, which has the greatest standard deviation?

1506 . 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?

1507 . 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?

1508 . If 2x - 3y = 6, then 6y - 4x = ?

1509 . If 4x - 3y = 13 and 5x + 2y = -1, then x = ?

1510 . If 2x - y = 10 and x/y = 3, then x = ?

1511 . 5p - 3q = 42; 5p + 3q = 18 Given this systems of equations, what is the value of |p| + |q|?

1512 . In a class of 50 students, 18 take music, 26 take art and 2 take both music and art. How many students in the class are not enrolled in either music or art?

1513 . It takes 5 hours to fill a container using machine A. The same container can be filled using machine B in 10 hours. When the container is full, Machine C can fully empty the container in 20 hours. If all three machines start working on the same empty cont

1514 . If two typist can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes.

1515 . The average of a, b, c is 6 and a - b = 4, ab = 21, what is the value of c?

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