3316 . 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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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.

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%

3319 . 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"

3320 . 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

Explanation:

সমন্বিত পাঁচ ব্যাংক || অফিসার ক্যাশ - 06.11.2021

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

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Answer: Option C

Explanation:

3322 . 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?

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

View Answer	Favorite Question

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

3323 . Two equal glasses are respectively 1/3 and 1/4 full of milk, They are then filled up with water and the coutents mixed in a tumbler .What is the ratio of milk and water in the tumbler?

A. 7 ; 14
B. 7 ; 17
C. 7 : 15
D. 7 : 13
E. 7 ; 2

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Answer: Option B

Explanation:

3324 . Two-fifth of one-fourth of three-seventh of a number is 15. When is half of that number?

A. 94
B. 96
C. 188
D. None of these

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Answer: Option D

Explanation:

Let, the number be x

2/5 of 1/4 of 3/7 of x = 15

2/5×1/4×3/7× = 15

6x/140 = 15

6x = 15×140

6x = 2100

x = 350

Half of x is 175

3325 . Two-fifth of one-third of three-seventh of a number is 15. What is 40 percent of that number?

A. 72
B. 84
C. 136
D. None of these

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Answer: Option D

Explanation:

পূবালী ব্যাংক লিমিটেড || প্রবেশনারি অফিসার (30-09-2023) || 2023

A. 4:5
B. 5:6
C. 6:7
D. 7:8
E. None of these

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Answer: Option A

Explanation:

Red socks = 2/5 of total

Blue socks = 1/3 of total

Rest are green, so green socks

= 1 - 2/5 + 1/3

= 1 - (6 + 5)/15

= 1 - 11/15

= (15 - 11)/15

= 4/15 of total

Hence, ratio of green to blue socks

= 4/15 : 1/3

= 4 : 5

So, the correct answer choice is option 1

3327 . Two-fifths of the socks in box are red, one-third is blue and the rest are green. What is the ratio of the green socks to the blue socks?

A. 4 : 5
B. 5 : 6
C. 6 : 7
D. 7 : 8

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Answer: Option A

Explanation:

Red socks = 2/5 of total

Blue socks = 1/3 of total

Rest are green, so green socks

= 1 - 2/5 + 1/3

= 1 - (6 + 5)/15

= 1 - 11/15

= (15 - 11)/15

= 4/15 of total

Hence, ratio of green to blue socks

= 4/15 : 1/3

= 4 : 5

So, the correct answer choice is option 1

3328 . Two groups of tourist each have 60 people. If three-fourth (i. e. 75%) of the first group & two-third of the 2nd group baord buses to travel to a museum, how many more people of the first group board buses compared to the second group?

A. 5
B. 6
C. 10
D. 15

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Answer: Option A

Explanation:

75% of 60 is 45.

2 /3 of 60 is 40.

The first group has 45-40= 5 more people board buses compared to the second group.

3329 . Two identical tapes fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank?

A. 5 minutes
B. 10 minutes
C. 60 minutes
D. 20 minutes

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Answer: Option C

Explanation:

Each tap takes 2x20*5/2 = 100 minutes to fill the tank.

In the first 20 minutes, the taps filled 2/5th of the tank. The remaining 3/5th of the tank will take a single tap (3/2)*20*2 = 60 minutes.

3330 . Two identical taps fill 2/5 of a tank in 20 minutes.when one of the taps goes dry n how many minutes will the remaining one tap fill the rest of the tank?

A. 5 min
B. 10 min
C. 60 min
D. 20 min
E. None of these

View Answer	Favorite Question

Answer: Option C

Explanation:

2 taps can fill in 20 minutes = 2/5th

1 tap can fill in 20 minutes = 1/5th.

remaining portion to be filled up = 1 - 2/5 = 3/5.

1/5th can be filled by 1 tap in 20 mins

3/5th can be filled by 1 tap in 20x3 mins = 60 minutes. (ans)

3316 . Triangle ABC has the following vertices: A (1,0) , B (5,0) and C (3,4) . which of the following is true ?

3317 . 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

3318 . 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?

3319 . 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?

3320 . 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?

3321 . 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 ?

3322 . 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?

3323 . Two equal glasses are respectively 1/3 and 1/4 full of milk, They are then filled up with water and the coutents mixed in a tumbler .What is the ratio of milk and water in the tumbler?

3324 . Two-fifth of one-fourth of three-seventh of a number is 15. When is half of that number?

3325 . Two-fifth of one-third of three-seventh of a number is 15. What is 40 percent of that number?

3326 . Two-fifths of the socks in box are , one-third is blue, and the rest are green. What is the ratio of the green socks to the blue socks?

3327 . Two-fifths of the socks in box are red, one-third is blue and the rest are green. What is the ratio of the green socks to the blue socks?

3328 . Two groups of tourist each have 60 people. If three-fourth (i. e. 75%) of the first group & two-third of the 2nd group baord buses to travel to a museum, how many more people of the first group board buses compared to the second group?

3329 . Two identical tapes fill 2/5 of a tank in 20 minutes. When one of the taps goes dry in how many minutes will the remaining one tap fill the rest of the tank?

3330 . Two identical taps fill 2/5 of a tank in 20 minutes.when one of the taps goes dry n how many minutes will the remaining one tap fill the rest of the tank?

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