Ratio and Proportion Aptitude Questions

31. In the year 2013, in a company the ratio of employees in three different departments HR, MT and TA are 6 : 7 : 8 respectively. In the year 2014 in each department if ‘n’ number of employees left then the ratio becomes 7 : 9 : 11. In the year 2015 in each department 3 employees left then the ratio became 3 : 4 : 5. Then what is the total number of employees in the year 2014?

  1. 85
  2. 83
  3. 82
  4. 81

Answer
Answer. d

32. The ratio of land and water on earth is 1 : 2. In the northern hemisphere, the ratio is 2 : 3. What is the ratio in Southern hemisphere?

  1. 2: 9
  2. 4 : 11
  3. 1: 5
  4. 4 : 9

Answer
Answer. b

33. A, B, C and D are four friends living in a room. A bought some sweet and went to the room. He found no one is in the room. He then divided the sweets into four parts and ate one part. After that B came to the room they then divided the remaining sweets into four parts ate one part each. After that C came to the room, now together they divided the remaining sweets into four parts and ate their parts. After that D came now together they divide the sweets into four parts and finished the sweets. D ate 6 sweets only. Then how many sweets does A eat in starting?

  1. 63
  2. 64
  3. 74
  4. 84

Answer
Answer. b

34. A, B, C and D purchase a gift worth ₹ 60. A pays $\frac{1}{2}$ of what others are paying, B pays $\frac{1}{3}$ of what others are paying and C pays $\frac{1}{4}$ of what others are paying. What is the amount paid by D?

  1. ₹ 16
  2. ₹ 13
  3. ₹ 14
  4. ₹ 15

Answer
Answer. b

35. One year ago, the ratio between A’s and B’s salary was 3 : 4. The ratio their individual salaries between last and this year was 4 : 5 and 2 : 3 respectively. Now the total of their salaries is ₹ 41600. A’s present salary is?

  1. ₹ 16000
  2. ₹ 13000
  3. ₹ 14000
  4. ₹ 15000

Answer
Answer. a

36. One year ago, the ratio between A, B and C salary was 3 : 4 : 5. The ratio of their individual salaries between last and this year was 4 : 5, 2 : 3 and 3 : 4 respectively. Now the total of their salaries is ₹ 98500. Find the present salary of B+C?

  1. ₹ 66000
  2. ₹ 86000
  3. ₹ 76000
  4. ₹ 60000

Answer
Answer. c

37. Two baskets together have 640 oranges. If $\frac{1}{5}$th of the oranges in the first basket be taken to the second basket then the number of oranges in both baskets became equal. The number of oranges in the first basket is

  1. 800
  2. 600
  3. 400
  4. 700

Answer
Answer. c

38. A person gives $\frac{1}{4}$ of his property to his daughter, $\frac{1}{2}$ to his son and $\frac{1}{5}$ for charity. How much has he given away?

  1. $\frac{1}{20}$
  2. $\frac{19}{20}$
  3. $\frac{1}{10}$
  4. $\frac{9}{10}$

Answer
Answer. b

39. A container contained 36 L of milk. From this container, 12 L of milk was taken out and replaced by water. This process was further repeated one more time. How water is now contained in the container?

  1. 16 L
  2. 14 L
  3. 15 L
  4. 20 L

Answer
Answer. d

40. A container contained 64 L of milk. From this container, 16 L of milk was taken out and replaced by water. This process was further repeated two times. How water is now contained in the container?

  1. 37 L
  2. 36 L
  3. 35 L
  4. 34 L

Answer
Answer. a

41. 7 litres are drawn from a cask full of alcohol and it is then filled with water, this process repeated two more times, the quantity of alcohol now left in the cask to that of water in it is 27 : 37. How much does the cask hold?

  1. 28 Litres
  2. 26 Litres
  3. 24 Litres
  4. 22 Litres

Answer
Answer. a

42. 8 litres are drawn from a cask full of alcohol and it is then filled with water, this process repeated three more times, the quantity of alcohol now left in the cask to that of water in it is 16 : 65. How much does the cask hold?

  1. 28 Litres
  2. 26 Litres
  3. 24 Litres
  4. 22 Litres

Answer
Answer. c

43. The fourth proportional of 12, 21, 8 is

  1. 8.9
  2. 14
  3. 56
  4. 17

Answer
Answer. b

44. Find the fourth proportional of 14, $4\sqrt{3}$, $7\sqrt{3}$?

  1. 4
  2. 5
  3. 6
  4. 7

Answer
Answer. c

45. Find the fourth proportional of 14, $a^2-b^2$, a+b, a−b?

  1. 9a
  2. 3b
  3. 1
  4. 4

Answer
Answer. c

46. The third proportional to 12 and 18 is

  1. 3
  2. 6
  3. 27
  4. 144

Answer
Answer. c

47. Find the third proportional of two numbers 12.5 and 25?

  1. 50
  2. 70
  3. 90
  4. 60

Answer
Answer. a

48. Find the third proportional of two numbers 3 and $17\sqrt{3}$?

  1. 196
  2. 216
  3. 363
  4. 289

Answer
Answer. d

49. Find the third proportional of $a^2-b^2$ and a+b?

  1. $\frac{a+b}{a-b}$
  2. $\frac{a-b}{a+b}$
  3. $\frac{1}{a-b}$
  4. $\frac{a+b}{2}$

Answer
Answer. a

50. The third proportional to 0.8 and 0.2 is

  1. 0.05
  2. 0.4
  3. 0.6
  4. 0.04

Answer
Answer. a

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