1561 . 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?

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

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Answer: Option D

Explanation:

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:

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.

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.

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.

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

Explanation:

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.

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

Explanation:

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

1570 . Two-third of the faculty members of a department are female. Twelve of the male teachers are unmarried, while 60% of them are married. The total number of faculty members in the department is:

A. 72
B. 60
C. 30
D. 90

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Answer: Option D

Explanation:

1571 . 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

Explanation:

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

Explanation:

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

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

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Answer: Option C

Explanation:

1574 . The average mark obtained by 15 students was 10 and the average mark obtained by 10 students was 15. What was the average mark obtained by all students?

A. 10
B. 8
C. 12
D. 15

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Answer: Option C

Explanation:

Total mark of first 15 students = 15 * 10 = 150

Total mark of first 10 students = 15 * 10 = 150

Total mark of 25 students = 150 + 150 = 300

Average = 300 / 25 = 12

বিসিআইসি | সহকারী প্রকৌশলী (কমার্শিয়াল) | 10-12-2021

A. ৮০ টাকা
B. ২৭.৫০ টাকা
C. ৩৭.৫০ টাকা
D. ২০ টাকা

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Answer: Option B

Explanation:

এক ডজন বা ১২ টি কলার দাম = ৩০ টাকা
দুই হালি তিনটি বা ১১ টি কলার দাম = ৩০x১১/১২ = ২৭.৫ টাকা।

১২ তম শিক্ষক নিবন্ধন পরীক্ষা (স্কুল সমপর্যায়-২) (12-06-2015)

1561 . 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?

1562 . Of the following list of numbers, which has the greatest standard deviation?

1563 . 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?

1564 . 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?

1565 . If 2x - 3y = 6, then 6y - 4x = ?

1566 . If 4x - 3y = 13 and 5x + 2y = -1, then x = ?

1567 . If 2x - y = 10 and x/y = 3, then x = ?

1568 . 5p - 3q = 42; 5p + 3q = 18 Given this systems of equations, what is the value of |p| + |q|?

1569 . 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?

1570 . Two-third of the faculty members of a department are female. Twelve of the male teachers are unmarried, while 60% of them are married. The total number of faculty members in the department is:

1571 . 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

1572 . If two typist can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes.

1573 . The average of a, b, c is 6 and a - b = 4, ab = 21, what is the value of c?

1574 . The average mark obtained by 15 students was 10 and the average mark obtained by 10 students was 15. What was the average mark obtained by all students?

1575 . এক ডজন কলার দাম ৩০ টাকা হলে, দুই হালি তিনটি কলার দাম কত টাকা?

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