3316 . 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"

3317 . 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:

3319 . 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

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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

3320 . 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:

3321 . 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

3322 . 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

3324 . 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

3325 . 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.

3326 . 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.

3327 . 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)

3328 . 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 ?

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

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Answer: Option C

Explanation:

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

A. 27
B. 33
C. 49
D. 55

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Answer: Option B

Explanation:

Let the two numbers be 3x and 5x respectively.
According to the given problem,
(3x - 9)/(5x - 9) = 12/23
= > 23 × (3x - 9) = (5x - 9) × 12
= > 69x - 207 = 60x - 108
= >9x = 207 - 108
= >x = 99/9 = 11
Therefore, the two numbers are (3 × 11) = 33 and (5 × 11) = 55.
The smaller number is 33.

সমন্বিত ৬ (ব্যাংক) ও ২ টি আর্থিক প্রতিষ্ঠান - সিনিয়র অফিসার ১০.০৬.২০১৯

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

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Answer: Option D

Explanation:

Let's set up the equation based on the given information:

5% of M + 4% of N = (2/3) * (6% of M + 8% of N)

Now, let's simplify and solve for the ratio of M and N.

First, convert percentages to decimals:

0.05M + 0.04N = (2/3) * (0.06M + 0.08N)

Now, eliminate the fractions by multiplying both sides by 3 (the least common multiple of 3 and 2):

3 * (0.05M + 0.04N) = 2 * (0.06M + 0.08N)

Now, distribute on both sides:

0.15M + 0.12N = 0.12M + 0.16N

Next, let's isolate terms with M and N on different sides of the equation:

0.15M - 0.12M = 0.16N - 0.12N

0.03M = 0.04N

Now, divide both sides by 0.03 to find the ratio of M and N:

(M/N) = (0.04N) / 0.03M

(M/N) = (4/3) * (N/M)

Now, simplify the ratio:

(M/N) = 4/3

So, the ratio of M to N is 4:3. The correct answer is 4:3.

3316 . 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?

3317 . 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?

3318 . 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 ?

3319 . 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?

3320 . 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?

3321 . Two-fifth of one-fourth of three-seventh of a number is 15. When is half of that number?

3322 . Two-fifth of one-third of three-seventh of a number is 15. What is 40 percent of that number?

3323 . 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?

3324 . 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?

3325 . 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?

3326 . 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?

3327 . 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?

3328 . 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 ?

3329 . Two number are in the ratio 3:5 . If 9 is subtracted form each , the new numbers are in the ratio 1223. The smaller number is

3330 . Two number M and N are such that the sum of 5% of M and 4% of N is two-third of the sum of 6% of M and 8% of N. What is the ratio of M and N?

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