Ask Question - Get Answer

3 Ans Probashi Kollyan Bank Executive Officer Cash MCQ Exam of 01 Nov, 2019 Math solution by Sultan Mahmud

Asked by Birds of the sky (2 Golds) Saturday, 02 Nov 2019, 06:19 AM at (Jobs Bank / Non Bank Finance Jobs)

Please log in to answer, like and save
0
Save 0

<<< Previous
Log in to Answer Next >>>

Answer(s):

Math Solution

Probashi Kollyan Bank
Executive Officer Cash
MCQ Exam of 01/11/2019
Solved by: Sultan Mahmud

33. Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
Solution:
Relative speed = (46-36) km/hr = 10 km/hr
Time to pass = 36 sec = 36/3600 hr = 1/100 hr
Length = (10 × 1/100)/2 = 1/20 km = 1000/20 = 50 meters.


34. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together they can finish the work in 2 days. B can do the work alone in:
Solution:
A can do in 1 day = x part of the work
B can do in 1 day = 2x part of the work
C can do in 1 day = 3x part of the work

According to the question,
2(x+2x+3x) = 1
x = 1/12
So, B does 2×1/12 = 1/6 part of the work in 1 day
B alone can do the work in 6 days.


35. The percentage profit earned by selling an article for Tk. 1920 is equal to the percentage loss incurred by selling the same article for Tk. 1280. At what price should the article be sold to make 25% profit?
Solution:
Suppose, the cost of the article is = Tk. x
according to the question,
(1920-x)/x - (x-1280)/x
2x = 3200
x = 1600
Required selling price = 1600 × 1.25 = 2000.


36. A person travels a certain distance at 3 km/hr and reaches 15 min late. If he travels at 4 km/hr, he reaches 15 min earlier. The distance he has to travel is:
Solution:
D/3 - D/4 = (15+15)/60
D/12 = 1/2
D = 6 km.


37. A boy traveled from the home to the college at the rate of 25 km/hr and walked back at the rate of 4 km/hr. If the whole journey took 5 hours 48 minutes, find the distance of the college from the home.
Solution:
D/25 + D/4 = 5 + 48/60
29D/100 = 29/5
D = 20 km.


38. (√1375 + √959) ÷ √292 × 19.003 = ?
Solution:
(√1375 + √959) ÷ √292 × 19.003
≈ (37 + 31) ÷ 17×19
≈ 68/17 × 19
≈ 76
close option 77.


39. Two men and three women can repair a bridge in 10 days while three men and two women can do same work in 8 days. If two men and one woman are used to finish this work, in how many days they will complete it?
Solution:
2m + 3w = 1/10 ----- (i)
3m + 2w = 1/8 ----- (ii)
-------------------------
5m + 5w = 1/10 + 1/8 = 9/40
1m + 1w = 9/200 ----- (iii)

(ii) - (iii) =>
2m + 1w = 1/8 - 9/200 = 16/200 = 1/12.5

So, they will complete it in 12.5 days.


40. A boatman takes twice as long to go to a distance upstream as to travel the same distance downstream. What is the ratio of the speed of the boatman (in still water) and the current?
Solution:
2 × D/(b+c) = D/(b-c)
2b - 2c = b + c
b = 3c
b : c = 3 : 1.


41. Speed of a boat in standing water is 9 km/hr and the speed of the stream is 1.5 km/hr. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
Solution:
105/(9+1.5) + 105/(9-1.5) = 10+14 = 24 hr.


42. A, B and C invested capitals in the ratio of 4 : 6 : 9. At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. Find the ratio of their time for which they contributed their capitals.
Solution:
4×a : 6×b : 9×c = 2 : 3 : 5

4a : 6b = 2 : 3
a : b = 6×2 : 3×4 = 12 : 12 = 1 : 1

6b : 9c = 3 : 5
b : c = 9×3 : 5×6 = 27 : 30 = 9 : 10

a : b : c = 1×9 : 9×1 : 1×10 = 9 : 9 : 10.


43. A trader marks his goods at 20% above the cost price. If he allows a discount of 5% for cash down payment, his profit percent for such transaction is:
Solution:
Profit percent = {(120 × 95/100) - 100}% = 14%.


44. If a = √3/2 then √(1+a) + √(1-a) = ?
Solution:
Suppose,
√(1+a) + √(1-a) = p
{√(1+a) + √(1-a)}² = p²
1+a + 2√(1+a)(√1-a) + 1-a = p²
2 + 2√(1-a²) = p²
2 + 2√{1 - (√3/2)²} = p²
2 + 2√(1 - 3/4) = p²
2 + 2 × 1/2 = p²
p² = 3
p = √3
So, √(1+a) + √(1-a) = √3.


45. Some money is divided among three workers A, B and C such that 5 times A's share is equal to 12 times B's share which is equal to 6 times C's share. The ratio between the shares is ?
Solution:
5A = 12B
A : B = 12 : 5
12B = 6C
B : C = 6 : 12 = 1 : 2

So, A : B : C = 12×1 : 1×5 : 5×2 = 12 : 5 : 10.


46. At simple interest of 5%, 6% and 8% for three consecutive years, the interest earned is Tk. 760. Find the principal.
Solution:
P×5% + P×6% + P×8% = Tk. 760
P×19% = Tk. 760
P = Tk. 760÷19% = Tk. 760 ÷ 19/100 = Tk. 760 × 100/19 = Tk. 4000.


47. If the compound interest of a certain sum of money for two successive years be Tk. 225 and Tk. 238.50. What is the rate of interest per annum?
Solution:
If the principal for the earlier year is P, then the principal for the later year is (P+225)
If the rate of interest is x% then,
(P+225)×x% - P×x% = 238.50 - 225
225 × x% = 13.50
x% = 0.06 = 6%.


48. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Solution:
Total number of balls = 4+5+6 = 15
3 balls can be drawn from 15 balls in 15C3 ways = 15!/3!12! = 455 ways
3 red balls can be drawn from 5 red balls in 5C3 ways = 5!/3!2! = 10 ways
Required probability = 10/455 = 2/91.


49. A word consists of 9 letters: 5 consonants and 4 vowels. Three letters are chosen at random. What is the probability that more than one vowel will be selected?
Solution:
Probability of 3 vowels selected = (4C3)/(9C3) = 4/84
Probability of 2 vowels and 1 consonant selected = (4C2×5C1)/(9C3) = 6×5/84 = 30/84
Probability that more than one vowel will be selected = 4/84 + 30/84 = 34/84 = 17/42.


50. The ages of X and Y are in the proportion of 6 : 5 and total of their ages is 44 years. The proportion of their ages after 8 years will be:
Solution:
Age of X = 44 × 6/(6+5) = 24
Age of Y = 20
Proportion of their ages after 8 years = (24+8) : (20+8) = 32 : 28 = 8 : 7.


51. The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 m³. Find the breadth of the wall.
Solution:
Breadth = x
Height = 5x
Length = 8×5x = 40x

According to the question,
x × 5x × 40x = 12.8 m³
200x³ = 12.8×100³ cm³
x³ = 12.8×1000000/200 cm³ = 64000 cm³
x = 40 cm.


52. A rectangular field is to be fenced on three sides leaving a side of 20m uncovered. If the area of the field is 680 m², how many meters of fencing will be required?
Solution:
Length of the other side of the field = 680m²/20m = 34 m
Length of fencing = 34×2 + 20 = 88 m.


53. A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What is the original number?
Solution:
N × 110/100 × 90/100 = N - 10
99N = 100N - 1000
N = 1000.


54. A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Solution:
Without leak, in 1 hr, the cistern is filled by 1/8 of its capacity
With the leak, in 1 hr, the cistern is filled by 1/10 of its capacity

So, in 1 hr, the leak empties = 1/8 - 1/10 = 1/40 of the cistern's capacity
So, it will take 40 hours to empty the full cistern.


55. A sum of Tk. 427 is to be divided among A, B and C such that 3 times A's share, 4 times B's share and 7 times C's share are all equal. The share of C is:
Solution:
3A = 4B = 7C = k
A = k/3
B = k/4
C = k/7
A : B : C = k/3 : k/4 : k/7 = 28 : 21 : 12 (multiplying them by their LCM 84)
C's share = Tk. 427 × 12/(28+21+12) = Tk. 84.


56. A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Tk. 855, the total profit is:
Solution:
Suppose, total profit = 100p
Charity = 100p × 5% = 5P
Profit share of A = (100p-5p) × 3/(3+2) = 57p
according to the question,
57p = 855
100p = 855×100/57 = 1500.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Answered by Birds of the sky (2 Golds) Saturday, 02 Nov 2019, 06:20 AM

Please log in to Upvote, Downvote and Report

Bangla Part solution - Probashi Kallyan Bank

Answered by Birds of the sky (2 Golds) Saturday, 02 Nov 2019, 06:28 AM

Please log in to Upvote, Downvote and Report

Gk+ Ict Solution( Set A)
57) john napier
58) solar power
59) nitrogen
60) calories
61)Belgrade
62)Luxembourg
63)ammeter
64)ultraviolet radiation
65)Short term fund
66)nuclear fusion
67)Horse racing
68)periscope
69)virtual keyboard
70)centre indent
71)winword.exe
72)edit
73)print preview
74)medium
75)start
76)CTRL +A
77)hardware
78)edit
79)SMTP
80)Router

Answered by Birds of the sky (2 Golds) Saturday, 02 Nov 2019, 06:30 AM

Please log in to Upvote, Downvote and Report
           

Related Q/A:

1 Ans Bank Asia Job circular admit card seat plan and result download now

2 Ans Govt. Banks Names of Bangladesh ?

1 Ans Janata Bank Officer Cash 633 posts 2016 exam MCQ question with solution

1 Ans IFIC Bank Limited Transaction Service Officer Job circular

1 Ans Are you tired of dealing with the hassle of waste removal in London? Look no further! At 24/7 Waste Removal, we understand the importance of keeping your surroundings clean and free from clutter. With our efficient and reliable services, you can say goodbye to the stress of managing your waste. Our team is dedicated to providing top-notch waste removal solutions tailored to meet your needs. Whether you're a homeowner, business owner, or property manager, we've got you covered. From regular trash pickups to specialized services like bulky item removal and construction waste disposal, we handle it all with professionalism and care. What sets us apart from the rest is our commitment to sustainability. We prioritize environmentally friendly practices in every aspect of our operations. We strive to minimize waste sent to landfills by recycling and repurposing materials whenever possible. With our eco-conscious approach, you can rest assured that your waste is being handled responsibly. At 24/7 Waste Removal, we prioritize customer satisfaction above all else. Our friendly and experienced team goes above and beyond to ensure that your waste removal needs are met promptly and efficiently. We understand that time is of the essence, which is why we offer round-the-clock services to accommodate your busy schedule. Don't let waste pile up and become a burden on your life. Trust the experts at 24/7 Waste Removal to take care of it for you. Contact us today to learn more about our services and how we can help you maintain a clean and clutter-free environment in London.

1 Ans An mbbs/BDS can apply for the post bangladesh bank assistant director general?

3 Ans Probashi Kollyan Bank Executive Officer Cash MCQ Exam of 01 Nov, 2019 Math solution by Sultan Mahmud

1 Ans Assistant Network Engineer Senior Officer 60 posts Bank job circular

4 Ans Complete Solution of 2478 post Officer General Question paper

2 Ans All govt Bank Job Circular 2021 in one page