প্রবাসী কল্যাণ ব্যাংক (পিকেবি) এর এক্সিকিউটিভ অফিসার (জেনারেল) পদে নিয়োগ (MCQ) পরীক্ষার প্রশ্ন ও সমাধান।
পরীক্ষার তারিখঃ ১৮ই অক্টোবর ২০১৯
Probashi Kollyan Bank (PKB) Executive Officer general exam question and Solution 2019.
উত্তর নিচে দেখুন
উত্তরঃ
বাংলা
01. কোনটি বাংলা ব্যাকরণের শাখা নয়? – ভাষাতত্ত্ব
02. ক্ষীয়মান এর বিপরীত শব্দ কি? – বর্ধমান
03. ঐহিক এর বিপরীতার্থক শব্দ কোনটি? – পারিত্রিক
04. কোনটি শুদ্ধ বানান? – ত্রিহায়ণ
05. লিঙ্গান্তর হয় না এমন শব্দ কোনটি? – কবিরাজ
06. ঝাঁকের কই বাগধারাটির অর্থ – একই দলের লােক
07. রাজা রামমােহন রচিত বাংলা ব্যাকরণের নাম কি? – গৌড়ীয় ব্যাকারণ
08. মৌলিক শব্দ কোনটি? – গোলাপ
09. কোন শব্দটি ফারসি- পেরেশান
10. জ্যেষ্ঠের বর্তমানে কনিষ্ঠের বিয়ে-কে একশব্দে বলে- পরিবেদন
11. যে সমাসের পূর্বপদ সংলাচক এবং সমস্ত পদের স্বাল্লা সমাহার বােঝায় তাকে বলে? – দ্বিগু সমাস
12. আফতার শব্দের সমার্থক কোনটি? – অর্ক
13. বৃষ্টি এর সন্ধি বিচ্ছেদ কি হবে? – বৃষ্+তি
14. দোলনা শব্দের সঠিক প্রকৃতি প্রত্যয় কোনটি? – দৃল্+না
15, ক্ষুধিত পাষাণ কোন সমাস? – কর্মধারয়
গণিত
31. A man can walk uphill at the rate of 2.5 km/hr and downhill at the rate of 3.25 km/hr. If the total time required walking a certain distance up the hill and return to the starting position is 4 hr 36 min, what is the distance he walked up the hill?
Solution:
D/2.5 + D/3.25 = 4 hr 36 min
2D/5 + 4D/13 = 4 + 36/60
46D/65 = 23/5
D = 6.5 km. (ans- D)
32. A, B and C enter into a partnership with a certain capital in which A’s contribution is Tk. 10,000. If out of total profit Tk. 1,000, A gets Tk. 500, B gets Tk. 300 then C’s capital is:
Solution:
Profit, A : B : C = 500 : 300 : 200 = 5 : 3 : 2
C’s capital = Tk. 10000 × 2/5 = Tk. 4000 (ans- A)
33. The marked price of an article is Tk. 500. It is sold on two successive discounts of 20% and 10%. The selling price of that article is:
Solution:
Selling price = 500 × (100-20)/100 × (100-10)/100 = Tk. 360. (ans- C)
34. If (p/q)^(n-1) = (q/p)^(n-3), then the value of n is:
Solution:
(p/q)^(n-1) = (q/p)^(n-3)
=> (p/q)^(n-1) = (p/q)^(3-n)
=> n-1 = 3-n
=> n = 2. (ans- A)
35. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Solution:
Initial ratio = 3 : 5
Target ratio = 4 : 4
part of replacement = (5-4)/5 = 1/5. (ans- C)
36. One-fourth of the boys and three-eight of the girls in a school participate in the annual sports. What proportional part of the total student population of the school participated in the annual sports?
Solution:
Let, the number of boys is x and the number of girls is y.
Required proportion = (x/4 + 3y/8)/(x+y) = (2x+3y)/(8x+8y) … cannot be determined. (ans- D)
37. If the rate of simple interest is 12% per annum the amount that would fetch interest of Tk. 6000 per annum is:
Solution:
The amount = Tk. 6000 ÷ 12% = Tk. 6000 ÷ 12/100 = Tk. 50000. (ans- A)
38. The compound interest on a certain sum of money for 2 years at 10% per annum is Tk. 420. The simple interest on the same sum at the same rate and for the same time will be:
Solution:
P × (110/100 × 110/100 – 1) = 420
P = 420×10000/2100 = 2000
P × 10% × 2 = 2000 × 10% × 2 = 400. (ans- D)
39. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Solution:
multiples of 3 or 5 in the range from 1 to 20 : 3, 5, 6, 9, 10, 12, 15, 18, 20 total 9.
Probability = 9/20. (ans- B)
40. A bag contains 2 red Roses, 4 yellow Roses and 6 pink Roses. Two roses are drawn at random. What is the probability that they are not of the same color?
Solution:
Probability = 1 – (2C2 + 4C2 + 6C2)/(12C2) = 2/3. (ans- C)
41. The sum of the present ages of a father and his son is 60 years. Five years ago, father’s age was four times the age of the son. So, now, the son’s age will be:
Solution:
Suppose, the son’s current age is = x years.
a/q: (60-x) – 5 = 4(x-5)
=> 4x – 20 = 55 – x
=> x = 15. (ans- A)
42. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls, the volume of the hall is:
Solution:
Suppose, the height of the hall (i.e: the walls) is = x m.
2(15x + 12x) = 2(15×12)
27x = 180
x = 180/27 = 20/3
Volume = 15×12×20/3 = 1200 cubic m. (ans- B)
43. A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod. Find the number of balls.
Solution:
Suppose, the radius of each ball is = r
So, the radius = height of the rod is = 2r
So, the number of balls = [π(2r)².2r] = [(4/3)πr³] = 6. (ans- D)
44. A person’s present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
Solution:
Suppose, the present age of the mother = x
a/q:
x+8 = 2(2x/5 + 8)
5x + 40 = 4x + 80
x = 40. (ans- C)
45. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
Solution:
halved = reduced by 50%
tripled = increased by 200%
change = -50% + 200% – (200×50%)% = +50% = 50% increase (ans- A)
46. Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruit?
Solution:
In 100kg fresh fruit, water = 100×68% = 68 kg, solid = 100-68kg = 32 kg.
With 32kg (80%) solid, dry fruit is = 32× 100/(100-20) = 40 kg. (ans- D)
47. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank?
Solution:
1 tap, full = 6 hrs
1 tap, half = 3 hrs
4 tap, half = 3/4 = 45 min
total = 3 hr 45 min. (ans- B)
48. The salaries of A, B, and C are in the ratio of 1:2:3. The salary of B and C together is Tk. 6000. By what percent is the salary of C more than that of A?
Solution:
If A’s salary is x, then B’s salary is 2x and C’s salary is 3x.
A/q: 2x+3x = 6000
=> x = 1200
=> 3x = 3600
C’s salary more than that of A = 3600-1200 = 2400
Percentage = 2400/1200 = 200%. (ans- C)
49. Two numbers are in the ratio 3 : 7. If 6 be added to each of them, then they are in the ratio 5 : 9. Find the numbers:
Solution:
(3x+6)/(7x+6) = 5/9
35x + 30 = 27x + 54
8x = 24
x = 3
the numbers are 3×3 = 9 and 7×3 = 21. (ans- A)
50. 28√? + 1426 = 3/4 of 2872
Solution:
28√? + 1426 = 3/4 of 2872
=> 28√? = 2154 – 1426
=> √? = 728/28 = 26
=> ? = 676. (ans- C)
51. A bag contains 50 P, 25 P and 10 P coins in the ratio 5 : 9 : 4, amounting to Tk 206. Find the number of coins of each type respectively.
Solution:
50×5a + 25×9a + 10×4a = 20600
a = 40.
Number of 50 P coins = 5×40 = 200
Number of 25 P coins = 9×40 = 360 ….. (ans- D)
52. Painter A can paint a house in 16 days, and painter B can do the same work in 20 days. With the help of painter C, they pain the house in 8 days only. The painter C alone can do this in:
Solution:
A+B can do in 1 day = 1/16 + 1/20 = 9/80
A+B+C can do in 1 day = 1/8
C can do in 1 day = 1/8 – 9/80 = 1/80
C alone can do the work in = 80 days. (ans- A)
53. A and B start at the same time with speeds of 40 km/hr and 50 km/hr respectively. If in covering the journey A takes 15 minutes longer than B, the total distance of the journey is:
Solution:
D/40 – D/50 = 15/60
D/200 = 1/4
D = 50 km. (ans- C)
54. A person borrows Tk. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 1/4% per annum for 2 years. Find his gain in the transaction per year.
Solution:
His gain per year = Tk. 5000 × ( 6 1/4 – 4)% = Tk. 112.50. (ans- A)
55. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Solution:
Suppose, their speeds are x mps and y mps respectively.
so, length of the trains are 27x meters and 17y meters respectively.
a/q: (27x+17y)/(x+y) = 23
4x = 6y
x : y = 3 : 2. (ans- B)
56. A tank has two leakages. The first leakage alone can empty the tank in 9 min and the second alone would have done it in 6 min. If water leaks out at a constant rate, how long does it take both the leakage together to empty the tank?
Solution:
Time = 1/(1/6 + 1/9) = 18/5 min = 3.6 min. (ans- D)
57. The time taken by a man to travel 36 miles downstream is 90 min less than to go to the same distance upstream. The speed of the man in still water is 10 mph. Find the speed of the stream?
Solution:
36/(10-x) – 36/(10+x) = 90/60
=> (10+x-10+x)/(100-x²) = 1/24
=> x² + 48x – 100 = 0
=> x = 2. (ans- A)
58. A boat runs at 22 km per hour along the stream and 10 km per hour against the stream. Find the ratio of the speed of the boat in the still water to that of the speed of the stream.
Solution:
b + s = 22
b – s = 10
——————
b = 16, s = 6
b : s = 16 : 6 = 8 : 3. (ans- D)
59. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately, what percentage of the selling price is the profit?
Solution:
Cost = 100, Profit = 320% of 100 = 320.
Selling price = 100+320 = 420.
New cost = 100 + (25% of 100) = 125
New profit = 420 – 125 = 295
New Profit Percentage = (295/420 × 100)% ≈ 70%. (ans- B)
60. (52.02² – 34.01²)÷17.99×√? = 1720
Solution:
(52.02² – 34.01²)÷17.99×√? = 1720
apprx:
(52²-34²)÷18×√? = 1720
=> (52+34)(52-34)÷18×√? = 1720
=> 86×18÷18×√? = 1720
=> √? = 1720/86 = 20
=> ? = 400. (ans- C)
সাধারন জ্ঞান
61. The market condition when goods and services are not freely available and thus the prices are relatively high is called
– (A) seller’s market
62. The longest rail line of the world, Trans-Siberian line, is in
– (B) Russia
63. The lower limit of perpetual snow in mountains such as the Himalayas is termed as the
– (D) Snow Line
64. The significance of peace is denoted by which of the following symbol?
– (A) Olive branch.
65. Radio link is a tool of banking communication in a
– (B) Remote Area
66. A commonly used graphic format for the Web is:
– (A) GIF
67. What is a portion of a document in which you set certain page formatting options?
– (C) Section
68. Which key will open an Open dialogue box?
– (A) Ctrl + F12
69. Which of the following keyboard shortcut can be used for creating a chart from the selected cells?
– (B) F11
70. Which of these toolbars allows changing of Fonts and their sizes?
– (C) Formatting
71. Identify the volatile storage device amongst the following devices?
– (D) RAM
72. Web site’s main page is called its
– (A) Homepage
73. What is a portion of a document in which you set certain page formatting options?
– (B) Section
74. To open an existing workbook, click the Open button on the —– toolbar?
– (C) Standard
75. Which of the following requires computer memory in large amounts?
– (D) All of the above
76. In which year a resolution ‘Uniting for Peace’ was adopted by UN General Assembly?
– (C) 1950
77. Name of the instrument used to measure relative humidity
– (A) Hygrometer
78. Queensland and Northern Territory Aerial Service is an International Airline of
– (D) Australia
79. The branch of science that studies cells is called:
– (B) cytology
80. The chemical name of Vitamin B is
– (C) thiamine
