3541 . Tow numbers A and B are such that the sum of 5% of A and 4%of B is two-third of the sum of 6% of A and 8%of B. Find the ratio of A : B .

A. 1 : 1
B. 3 : 4
C. 4 : 3
D. 2 : 3

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Answer: Option C

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সাধারণ বীমা কর্পোরেশন || সহকারী ব্যবস্থাপক (08-11-2024) || 2024

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3542 . Tow workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked along, he would need 4.5 hours more to complete the job than they both working together. What time would they take to do the work together?

A. 4 hours
B. 5 hours
C. 6 hours
D. 7 hours

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Answer: Option C

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Bangladesh Bank - Assistant Director - 2014

A. 30
B. 40
C. 50
D. 60
E. None of these

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Answer: Option A

Explanation:

We have towns A, B, and C, with a straight highway connecting towns A and C, which is 60 miles long. The straight-line distance from A to B is 50 miles, and the straight-line distance from B to C is 50 miles.

The highway connecting A and C can be thought of as the hypotenuse of a right triangle, where the legs of the triangle are the distances from A to B and from B to the point on the highway (let's call it point D).

The triangle formed by points A, B, and D is similar to the triangle formed by points A, B, and C because they share the same angles. This is because vertical angles (formed by the highway and the straight-line distances) are congruent.

We can set up a proportion to find the distance from B to D:

BD/BC = AB/AC
Substituting the given values:

BD/60 = 50/100 (50 miles is half of 100 miles)

Now, solving for BD:

BD = 30 miles

So, the distance from town B to the point on the highway connecting towns A and C, which is closest to town B, is 30 miles.

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বাংলাদেশ বনশিল্প উন্নয়ন কর্পোরেশন সহকারী ব্যবস্থাপক-০২.০৮.২০১৩

A. 22
B. 36
C. 30
D. 26

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Answer: Option D

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Two Combined Bank Recruitment Test - Officer 28.09.2018 ||

A. 3 : 2
B. 5 : 3
C. 7 : 4
D. 9 : 5

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Answer: Option B

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3546 . Travelling at a constant speed of 32 miles per hours, a certain motorboat consumers 24gallons of fuel per hour. What is the fuel consumption of his boat this speed measured in miles per gallons of fuel?

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

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Answer: Option D

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3547 . Triangle ABC has the following vertices: A (1,0) , B (5,0) and C (3,4) . which of the following is true ?

A. AB=BC
B. CA =CB
C. AB =AC
D. AC

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Answer: Option B

Explanation:

Let's calculate the lengths of the sides of triangle ABC using the distance formula to determine which of the given options is true:

Distance Formula: The distance between two points (x1, y1) and (x2, y2) is given by √((x2 - x1)^2 + (y2 - y1)^2).

A (1, 0) and B (5, 0): AB = √((5 - 1)^2 + (0 - 0)^2) = √(4^2 + 0) = 4.

B (5, 0) and C (3, 4): BC = √((3 - 5)^2 + (4 - 0)^2) = √((-2)^2 + 4^2) = √(4 + 16) = √20.

A (1, 0) and C (3, 4): AC = √((3 - 1)^2 + (4 - 0)^2) = √(2^2 + 4^2) = √(4 + 16) = √20.

Now, let's compare the lengths:

AB = 4 BC = √20 AC = √20

From the calculations, it's clear that AC = BC, so the correct statement is:

CA = CB

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Three Combined Bank Recruitment - Senior Officer 03 .08.2018 ||

A. There is a person in the party who acquainted with all the twenty-six others.
B. Each person in the party who has a different number of acquaintances.
C. There is a person in the party who has an odd number of acquaintances.
D. In the party, there is on set of three mutual acquaintances.

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Answer: Option B

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3549 . Two baskets together have 640 oranges if one-fifth of the oranges in the first basket be taken to the second basket then, number of oranges in both baskets become equal. The number of oranges in the first basket is

A. 800
B. 600
C. 400
D. 300

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Answer: Option C

Explanation:

Let x be the number of oranges in the first basket.

The number of oranges in the second basket is 640 - x, as together they have 640 oranges.

Now, it is given that one-fifth (1/5) of the oranges in the first basket are taken to the second basket. This means (1/5)x oranges are moved to the second basket.

After this transfer, the number of oranges in the first basket becomes x - (1/5)x = (4/5)x.

The number of oranges in the second basket becomes 640 - x + (1/5)x = 640 - (4/5)x.

Now, according to the problem, when the number of oranges in both baskets becomes equal, we can set up an equation:

(4/5)x = 640 - (4/5)x

To solve for x, first, let's get rid of the fractions by multiplying both sides of the equation by 5:

4x = 3200 - 4x

Now, add 4x to both sides of the equation:

4x + 4x = 3200

8x = 3200

Next, divide both sides by 8 to solve for x:

x = 3200 / 8

x = 400

So, there were 400 oranges in the first basket.

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সমন্বিত ৭ ব্যাংক || সিনিয়র অফিসার-05-11-2021 ||

A. 57.9
B. 60
C. 50.7
D. 50.9

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Answer: Option A

Explanation:

Let the amount of tea blends be 2T and 3T respectively.

Then total cost = 2T x $2.8 + 3T x $3.2 = $15.2T

Total sell = (3T + 2T) x $4.8 = $24T

So, profit = (24T - 15.2T) / 15.2T x 100% = 57.9%

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3551 . Two bus tickets from cit A to B and three tickets from city A to C cost Tk 77 but three tickets from city A to B and two tickets from city A to C cost Tk 73. What are the fares for cities B and C from city A?

A. Tk 4, Tk 23
B. Tk 13, Tk 17
C. Tk 15, Tk 14
D. Tk 17, Tk 13
E. None of these

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Answer: Option B

Explanation:

"Let, fare for B from A =  x
Fare for C from A  =  y 
2x   +   3y  =  77
3x   +   2y  =  73 
x  =  13, y  =  17"

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3552 . Two buses start from a bus terminal with a speed of 20 km/h at interval of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at interval of 8 minutes?

A. 3 km/h
B. 4 km/h
C. 5 km/h
D. 7 km/h

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Answer: Option C

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প্রবাসী কল্যাণ ব্যাংক-সিনিয়র অফিসার-09-10-2021

A. None
B. loss of Tk. 120
C. loss of tk. 300
D. Profit of Tk. 120

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Answer: Option C

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3554 . Two coins are tossed. What is the probability of getting at most one head

A. $\frac{1}{2}$
B. $\frac{1}{4}$
C. $\frac{1}{6}$
D. $\frac{3}{4}$

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Answer: Option D

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Janata Bank PLC || Officer (Rural Credit) (27-10-2023) || 2023

A. 1:2
B. 2:3
C. 3:4
D. 4:5
E. None of these

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Answer: Option A

Explanation:

school A has a boys and b girls, and school B has c boys and d girls, then

a/c = 2/1
b/d = 4/5
a+b = c+d

we want to find a/b

a = 2c
5b = 4d

a-c = d-b
a-(a/2) = (5b/4)-b
a/2 = b/4
a/b = 2/4 = 1/2

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3541 . Tow numbers A and B are such that the sum of 5% of A and 4%of B is two-third of the sum of 6% of A and 8%of B. Find the ratio of A : B .

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3542 . Tow workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked along, he would need 4.5 hours more to complete the job than they both working together. What time would they take to do the work together?

3544 . train passes a platform in 40 sec and a woman standing on the train is 108 km/hr. what is the length of the platform in 25 seconds. The speed of the train is:

3545 . Train X covers a distance of 150 km in 2 hours. Train Y covers a distance of 135 km in 3 hours. What is the ratio of speed of train X to train Y?

3546 . Travelling at a constant speed of 32 miles per hours, a certain motorboat consumers 24gallons of fuel per hour. What is the fuel consumption of his boat this speed measured in miles per gallons of fuel?

3547 . Triangle ABC has the following vertices: A (1,0) , B (5,0) and C (3,4) . which of the following is true ?

3548 . Twenty-seven persons attended a party. Which one of the following statements can never be true ?

3549 . Two baskets together have 640 oranges if one-fifth of the oranges in the first basket be taken to the second basket then, number of oranges in both baskets become equal. The number of oranges in the first basket is

3550 . Two blends of tea costing $2.80 and $3.20 per kg respectively, are mixed in the proportion 2 : 3. The mixture is sold at $4.80 per kg. What was the percentage of profit?

3551 . Two bus tickets from cit A to B and three tickets from city A to C cost Tk 77 but three tickets from city A to B and two tickets from city A to C cost Tk 73. What are the fares for cities B and C from city A?

3552 . Two buses start from a bus terminal with a speed of 20 km/h at interval of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at interval of 8 minutes?

3553 . Two chairs have been sold ,each for Tk. 3,600. On one 20% profit has been earned and on the other 20% loss has been incurred .What is total profit or loss ?

3555 . Two different schools, A and B, have the same number of students. The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the girls in school A and the girls in school B is 4:5. What is the ratio of the boys in school A to the girls in school A?

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