3541 . 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?

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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3542 . 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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3543 . 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:

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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

Explanation:

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3545 . 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

Explanation:

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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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3547 . 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:

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3548 . 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

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3549 . 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:

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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

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3551 . 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

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3552 . 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.

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3553 . 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.

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3554 . 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

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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)

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Jamuna Bank Ltd - Probationary Officer - 2009

A. 7 meters
B. 14 meters
C. 10 meters
D. 6 meters

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Answer: Option C

Explanation:

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

3541 . 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?

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3542 . 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?

3543 . 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?

3544 . 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 ?

3546 . 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?

3547 . 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?

3548 . Two-fifth of one-fourth of three-seventh of a number is 15. When is half of that number?

3549 . Two-fifth of one-third of three-seventh of a number is 15. What is 40 percent of that number?

3550 . 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?

3551 . 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?

3552 . 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?

3553 . 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?

3554 . 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?

3555 . Two men, starting at the same point, walk in opposite directions for 4 meters, turn left and walk another 3 meters. What is the distance between them ?

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