Ratio Proportion and Partnership

26. If a : b = 4 : 7 and b : c = 5 : 6, then a : b : c =?

• ক. 7 : 6
• খ. 20 : 35 : 30
• গ. 20 : 35 : 42
• ঘ. 24 : 42 : 30

27. The ratio of boys and girls in a class is 1 : 2 and the classroom has 24 students. How many boys would have to be admited to make ratio of boys to girls 1 : 1?

• ক. 6
• খ. 8
• গ. 10
• ঘ. 12

28. 35% of Tahia's income is equal to 25% of Noria's income. The ratio of their income is--

• ক. 7 : 5
• খ. 4 : 3
• গ. 4 : 7
• ঘ. 5 : 7

29. For a certain student the average of five test scores is 83. If four of the scores are 81, 79, 85 and 90. What is the score of the fifth test?

• ক. 83
• খ. 82
• গ. 81
• ঘ. 80

30. Jahirul and Jalil agree to form a partnership. The partnership agreement requires that Jahirul invests Tk.7000.00 less than one half of what Jalil invests. If the total investment is Tk.125000.00, how much does Jolil invest?

• ক. Tk.163200
• খ. Tk.258000
• গ. Tk.78666.67
• ঘ. Tk.46333.33

31. Whichof the ratio is the greatest?

• ক. 3 : 7
• খ. 5 : 9
• গ. 7 : 11
• ঘ. None

32. A man buys some shirts and some ties. Shirts cost Tk.70 each and the ties cost Tk.30 each. If the man spends exactly Tk.810 and buys the maximum number of shirts possible under these condition, what is the ratio of shirts to ties?

• ক. 5 : 3
• খ. 4 : 3
• গ. 3 : 2
• ঘ. 4 : 1

33. Divide Rs.5625 among A, B and C so that A receive 1/2 as much as B & C and B 1/4 of what A and C together receive?

• ক. 1125, 1870, 2630
• খ. 2625, 1875, 1125
• গ. 1875, 1125, 2625
• ঘ. 6

34. Business partners A, B and C agree to divide their total profit for the year in the ratio 4 : 7 : 8 respectively. If A's share of the profit is Rs.16000, what was the total profit of the business partners for the year?

• ক. Rs.64000
• খ. Rs.76000
• গ. Rs.30000
• ঘ. Rs.3000000

35. A room has a floor area of 150 sq. feet. If the length & breadth of the room are in the ratio 3 : 2, then what is the length of the floor in feet?

• ক. 20
• খ. 9
• গ. 10
• ঘ. 15

36. A jar contains white, red and green marbles in the ratio 2 : 3 : 4. Five more green marbles are added to make the ratio 2 : 3 : 5. How many white marbles are there in the jar?

• ক. 8
• খ. 10
• গ. 4
• ঘ. 6

37. Coffee A normally costs Tk.100 per lb. It is mixed with coffee B, which normally costs Tk.70 per lb, to from a mixture that costs Tk.88 per lb. If there are 10 lbs of the mix, how many pounds of coffee A is used in the mixture?

• ক. 4
• খ. 6
• গ. 5
• ঘ. 7

38. 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?

• ক. 57.9
• খ. 60
• গ. 50.7
• ঘ. 50.9

39. A certain 90-miles trip took 2 hours. Exactly 1/3 rd of the distance was traveled by rail and this part of the trip took 1/5 th of the travel time. What was the average rate in miles per hour of the rail promotion trip?

• ক. 45 mph
• খ. 60 mph
• গ. 75 mph
• ঘ. 12 mph

40. The 20"-diameter wheels of a car rotates at rate of 24 revolutions per minute, while the 30"-diameter wheels of another car travels at a rate of 18 revolutions per minute. What is the ratio of the speed of the second car to that of the first?

• ক. 4 : 3
• খ. 6 : 5
• গ. 9 : 8
• ঘ. 1 : 1

41. Company A owns 40% of the stock in the XYZ Corporation. Company B owns 15000 shares. Company C owns rest of the shares. If company C owns 25% more share than company A, how many shares does company A own?

• ক. 60000
• খ. 75000
• গ. 90000
• ঘ. 45000

42. A person buys some pens and pencils. The pen costs Tk.7 ech and pencil costs Tk.3 each. If he spends exactly Tk.81 and buys the maximum numbers of pen possible under these conditions, what is the ratio of pen to pencil?

• ক. 3 : 2
• খ. 2 : 3
• গ. 4 : 3
• ঘ. 5 : 3

43. A certain pole casts a shadow 24 feet long. At the same time another pole which is 3 feet high casts a shadow 4 feet long. How high is the first pole given that the heights and shadows are in proportion?

• ক. 20
• খ. 21
• গ. 18
• ঘ. 19

44. A football team had a ratio of win to loss of 3 : 1. After wining 6 games in a row the team's ratio of win to loss became 5 : 1. How many games had the team won before it the six games?

• ক. 9
• খ. 6
• গ. 3
• ঘ. 12

45. In making a ratio set the costs of labor and material are in the ratio 3 : 2. A manufacturer sells a set of Tk.150 to make a gain of 25% on the cost. What is the cost of the meterial for the set?

• ক. Tk.54
• খ. Tk.48
• গ. Tk.40
• ঘ. Tk.72

46. A jar contains 10 pencils, some sharpened and unsharpened. Each of the following could be the ratio of sharpened to unsharpened pencils except?

• ক. 4 : 1
• খ. 3 : 2
• গ. 1 : 1
• ঘ. 9 : 1

47. Three individuals contributed Tk.8000 each toward the purchase of a computer. If they bought the computer on sale for Tk.19500 plus 10% sales tax, how much money should be refunded to each individual?

• ক. Tk.1500
• খ. Tk.1950
• গ. Tk.650
• ঘ. Tk.850

48. A sum of money is distributed among x, y & z in the proportion 5 : 7 : 10. What is the largest amount of taka not exceeding 1000 which could be distrubuted among them without using a fraction of a taka?

• ক. 968
• খ. 990
• গ. 989
• ঘ. 999

49. Taka 1105 was divided between A, B and C. The amount of money received by A & B were in the ratio 1 : 2. The amount of money received by B & C were in the ratio 3 : 4. How much money did A receive?

• ক. Tk.1500
• খ. Tk.100
• গ. Tk.205
• ঘ. Tk.195

50. If x : y = 5 : 3, then (8x – 5y) : (8x + 5y) =?

• ক. 3 : 12
• খ. 8 : 13
• গ. 3 : 11
• ঘ. 5 : 11