Previous Year Ratio and Proportion Questions for SSC CGL and CPO

     


    CPO2017 

    1. In what ratio wheat at Rs. 32/kg should be mixed with wheat at Rs. 24/kg so that on selling the mixture at Rs 39/kg there is a profit of 30%?  

    1. 3: 1 
    2. 2: 3 
    3. 1: 4 
    4. 2: 5

    2. Three bottles of equal capacity are containing a mixture of milk and water in ratio 2: 1, 3: 7 and 4: 11 respectively. These three bottles are emptied into a large bottle. What is the ratio of milk and water respectively in this large bottle? 

    1. 37: 53 
    2. 37: 90 
    3. 37: 30 
    4. 7: 30

    3. Three bottles of equal capacity contain mixture of milk and water in ratio 2: 3, 3: 5 and 4: 5 respectively. These three bottles are emptied into a large bottle. What is the ratio of milk and water respectively in the large bottle? 

    1. 439: 1080 
    2. 439: 641 
    3. 439: 360
    4. 439: 79

    4. 50 litres of mixture of alcohol and water is in the ratio of 1: 4 respectively. If 10 litres of mixture is taken off and replaced with 10 litres of water. Then what is the new ratio of alcohol and water respectively? 

    1. 1: 4 
    2. 2: 11 
    3. 1: 5 
    4. 4: 21

    5. In a mixture, milk and water are in ratio of 2: 3. Some milk is added to the mixture because of which ratio of milk and water becomes 2: 1. How much milk was added as a percentage of initial mixture? 

    1. 75 
    2. 60 
    3. 80 
    4. 50

    6. In a mixture of 126 litre the ratio of water and milk is 2: 5 respectively. How much water (in litre) must be added to make the ratio of water and milk as 2: 3 respectively? 

    1. 16 
    2. 24 
    3. 18 
    4. 20

    7. A bought 38 kg rice @ Rs. 54.50 kg, 45 kg rice @ Rs.62/kg and 55 kg rice @ Rs.48/kg. He sold the mixture @ Rs.65/kg. His profit or loss percentage is: (SSC CPO 2019 ) 

    1. Profit 19.6 
    2. Profit 16.8 
    3. Loss 1.04 
    4. Loss 1.7

    SSC CPO 2018

    8. What is the sum of the mean proportional between 10.8 and 4.8 and the third proportional of 2 and 4?  

    1. 10.2 
    2. 11.2 
    3. 8.2 
    4. 15.2

    9. What is the ratio of the mean proportional between 8.1 and 3.6 and the third proportional of 2 and 3? 

    1. 5:6 
    2. 5:4 
    3. 4:5 
    4. 6:5

    10. A, B and Care partners. They share profits in the ratio of 5:3:6. If A earns Rs.1,92,380 as his share of profit, then the share of C is: 

    1. Rs.2,30,856 
    2. Rs.1,15,428 
    3. Rs.82,449 
    4. Rs.1,60,317

    11. There are 50 paisa, 25 paisa and Rs.1 coins in a bag in the ratio 5:8:1. If the total value of all the coins is Rs. 55, how many 25 paisa coins are there in the bag?

    1. 25 
    2. 50 
    3. 80 
    4. 10

    12. In an office of 1200 employees, the ratio of urban to rural members of staff is 8:7. After joining of some new employees, out of which 20 are rural, the ratio becomes 5 : 4. The number of new urban employees is: 

    1. 100 
    2. 85 
    3. 76 
    4. 108

    13. Rs. 4,06,736 is divided among A, B and C such that the ratio between A and B is 2 : 3 and B and C is 1 : 2. The share of C is : 

    1. Rs.73, 952 
    2. Rs.1,10,928 
    3. Rs.2,64,796 
    4. Rs.2,21,856

    14. Two numbers are in the ratio 4:9. If both the numbers are increased by 12, the ratio becomes 11 : 21. The sum of the original numbers is : 

    1. 128 
    2. 52 
    3. 64 
    4. 104

    15. The sum of three numbers is 777. The ratio between the first two numbers is 7: 9 and the ratio between the second and third number is 3 : 7. The second number is: 

    1. 189 
    2. 147 
    3. 252 
    4. 63

    16. Three partners A, B and C, share profits and losses in the ratio of 3 : 4 : 7. If the profit for the year before charging 30% tax is Rs.1,10,166 what is B's share of profit after tax? 

    1. Rs.24,673.10 
    2. Rs.22,033.20 
    3. Rs.9,442.80 
    4. Rs.31,476

    17. Divide Rs.8,288 between A, B and C such that the proportion of their shares is 5 : 7 : 9. The share of C is: 

    1. Rs.2,032 
    2. Rs.3,552 
    3. Rs.3,872 
    4. Rs.2,612

    18.  A, B and C are partners in a firm sharing profit in the ratio of 3 : 4 : 5. If they set aside 4% of the profits as emergency fund and shared the rest of the profit and B gets his share of profit as Rs.1,81,400. the amount of profit set aside for emergency fund is:  

    1. Rs.27,845 
    2. Rs.18,140 
    3. Rs.22,675 
    4. Rs.24,500

    SSC CPO 2019

    19. The ratio of two numbers is 3: 5. If eight is added to the first, and seven to the second, then the ratio becomes 2 : 3. What will be the ratio become if six is added to each? 

    1. 5 : 9 
    2. 5 : 7 
    3. 7 : 9 
    4. 9 : 14

    20. A, B and C enter into a partnership with capitals in the ratio 2/3 : 3/5 : 5/6. After 8 months, A increases his share of capital by 25%. If at the end of the year, the total profit earned is Rs.5,820, then the share of C in the profit is: 

    1. Rs.2,250 
    2. Rs.2,350 
    3. Rs.2,050 
    4. Rs.2,450

    21. If x is subtracted from each of the numbers 20, 37, 54 and 105, then the numbers so obtained in this order are in proportion. What is the mean proportional between (7x-5) and (x + 1)? 

    1. 8 
    2. 6 
    3. 12 
    4. 9

    22. A sum (in Rs.) is distributed between A, B and C in the ratio 9:6:11. If A gives Rs.500 from his share to C, the ratio of shares of A, B and C becomes 4:3:6. What is the sum of shares (in Rs.) of B and C, in the beginning?  

    1. Rs.8,500 
    2. Rs.9,100 
    3. Rs.7,800 
    4. Rs.7,500

    23. The total number of students in sections A and B of a class is 72. The ratio of the number of students in A and B is 7 : 5. The average weight (in kg) of the students in section B is 20% more than that of the students in section A. If the average weight of all the students in the class is 52 kg, then what is the average weight (in kg) of the students in section B? 

    1. 58.2 
    2. 57.9 
    3. 57.6 
    4. 56.4

    24. The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditures is 4: 7 respectively. If A and B save Rs. 16,000 and Rs.26,000, respectively, then what is the difference (in Rs.) between their expenditures? 

    1. 6800 
    2. 5400 
    3. 5000 
    4. 6000

    25. The ratio of salary of Raju and Peter is 3: 6. If the salary of each increases by Rs.2,500, then the new ratio becomes 11: 15. What is Peter's salary? 

    1. Rs.5000 
    2. Rs.2500 
    3. Rs.4000 
    4. Rs.3500

    26. Seven years ago, the ages (in years) of A and B were in the ratio 4 : 5 and 7 years hence, their ages will be in the ratio 5 : 6. What will be the ratio of their ages 5 years from now?  

    1. 34 : 41 
    2. 33 : 40 
    3. 31 : 33 
    4. 33 : 34

    27. A sum of Rs.12,000 is divided between A, B, C and D such that the ratio of shares of A and B is 8:9, that of B and C is 2:3 and that of C and D is 9: 13. What is the difference between the shares of B and D? 

    1. Rs.1,320 
    2. Rs.2,400 
    3. Rs.2,520 
    4. Rs.2,760

    28. The ratio of expenditure and savings of a person is 5:3. If the income increases by 20% and the expenditure in increases by 10%, then the person's savings increase by: 

    1. 36.66% 
    2. 3.33% 
    3. 13.66% 
    4. 30.33%

    SSC CGL 2017

    29. A man has 3 sons, 2 daughters and a wife. They divided a sum of Rs 19000 among themselves such that each daughter got 1.5 times the amount received by each son and his wife received 600 less than each son. What is the total amount (in Rs) received by the 3 sons together? 

    1. 2800 
    2. 3600 
    3. 5600 
    4. 8400

    30. What number should be added to each of the numbers 55, 100, 65 and 116 so that the resulting numbers are in continued proportion? 

    1. 20 
    2. 10 
    3. 5 
    4. 15

    31. What is the fourth proportional to 336, 288 and 161? 

    1. 184 
    2. 115 
    3. 138 
    4. 134

    32.  A, B and C received an amount of Rs. 8400 and distributed among themselves in the ratio of 6 : 8 : 7 respectively. If they save in the ratio of 3: 2:4 respectively and B saves Rs. 400, then what is the ratio of the expenditures of A, B and C respectively? 
    1. 6 : 8 : 7 
    2. 8 : 6 : 7 
    3. 9 : 14 : 10 
    4. 12 : 7 : 9

    33.  If A : B = 2: 5, B: C = 4:3 and C: D = 2: 1, then what is value of A : C : D? 

    1. 6: 5: 2 
    2. 7: 20 : 10 
    3. 8: 30 : 15 
    4. 16 : 30 : 15

    34. Rs 60500 is divided among A, B and C such that A receives 2/9 as much as B and C together and B receives 3/7 of as much as A and C together. What is the share of C (in Rs)? 

    1. 29850 
    2. 30120 
    3. 31350 
    4. 37250

    35. A company, at the time of inflation reduced the staff in the ratio 5: 3 and average salary per employee is increased in the ratio 7 : 8. By doing so, the company saved Rs 55000. What was the initial expenditure (in Rs) of company? 

    1. 155000 
    2. 160000 
    3. 175000 
    4. 215000

    36. Three partners A, B and C share profit such that three times the share of A is equal to two times the share of B and equal to 12 times the share of C. What is the ratio of the profits of A, B and C respectively? 

    1. 3 : 2: 12 
    2. 12 : 2 : 3 
    3. 4 : 6 : 1 
    4. 1 : 6 : 4

    37. The ratio of number of cans of orange, pineapple and mixed fruit juices kept in a store is 8: 9: 15. If the store sells 25%, 33.33% and 20% of orange, pineapple and mixed fruit juices cans respectively, then what is the ratio of number of cans of these juices in the remaining stock? 

    1. 1 : 1 : 2 
    2. 6 : 6 : 13 
    3. 12 : 15 : 19 
    4. 4 : 9 : 13

    38. Price of a diamond is directly proportional to square of its weight. A man broke the diamond accidently in three pieces in the ratio of 3 : 5 : 7 and thus loses Rs 42600. What was the original price (in Rs) of the diamond? 

    1. 11786 
    2. 60000 
    3. 67500 
    4. 75000

    39. What is the third proportional to 10 and 25? 

    1. 125 
    2. 150 
    3. 62.5 
    4. 225

    40. What is the fourth proportional to 72, 168 and 150?  

    1. 450 
    2. 300 
    3. 350 
    4. 400

    41. What number should be added to each of the numbers 94, 24, 100 and 26, so that the resulting numbers are in continued proportion? 

    1. 10 
    2. 11 
    3. 9 
    4. 8

    42. A bag has Rs 43 in the form of 5 rupee, 50-paise and 10-paise coins in the ratio of 1:5:11. What is the total number of 50-paise coins? 

    1. 5 
    2. 25 
    3. 55 
    4. 50

    43. The ratio of present ages of R and S is 11:17. Before 11 years the ratio of their ages was 11:20. What is R's present age (in years)? 

    1. 51 
    2. 33 
    3. 22 
    4. 40

    44. In an MBA selection process, the ratio of selected to unselected was 11:2 If 40 less had applied and 20 less selected, the ratio of selected to unselected would have been 10:1. How many candidates had applied for the process? 

    1. 220 
    2. 260 
    3. 300 
    4. 340

    45. A bag has Rs.51.25 in the form of 2 rupee, 50-paise and 25-paise coins in the ratio of 3:5:7. What is the total number of 50-paise coins? 
    1. 15 
    2. 35 
    3. 25 
    4. 5

    46. What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion? 

    1. 10 
    2. 12 
    3. 8 
    4. 6

    SSC CGL MAINS 2017

    47. The entry ticket at a fun park was increased in the ratio 7 : 9, due to which footfalls fell in the ratio 13 : 11. What is the new daily collection (in Rs), if the daily collection before the price hike was Rs 2,27,500? 

    1. 237500 
    2. 247500 
    3. 232500 
    4. 242500

    48. If 50 less had applied and 25 less selected, the ratio of selected to unselected would have been 9 : 4. So how many candidates had applied if the ratio of selected to unselected was 2:1.  

    1. 125 
    2. 250 
    3. 375 
    4. 500

    49. What is the fourth proportional to 189, 273 and 153? 

    1. 117 
    2. 299 
    3. 221 
    4. 187

    50. Rs. 11,550 has to be divided between X, Y & Z such that X gets 4/5 of what Y gets and Y gets 2/3 of what Z gets. How much more does Z get over X (in Rs)?

    1. 7200 
    2. 1800 
    3. 13* 9 
    4. 2450

    51. Before a battle the ratio of tanks to planes in an army was 5 : 3. During the war 1000 tanks were destroyed and 800 planes were destroyed. The ratio of tanks to planes became 2 : 1. What is the number of tanks after the war. 

    1. 2000 
    2. 1000 
    3. 3000 
    4. 4000

    52. Bunty had candies and chewing gums in his sweet box in the ratio 7 : 13. After he has eaten 8 candies and 11 chewing gums the ratio became 1: 2. How many candies does he have now? 

    1. 65 
    2. 35 
    3. 54 
    4. 27

    53. The price of a movie ticket was increased in the ratio 9: 10. What is the increase in the revenue (in Rs.) of the cinema hall, if the original fare was Rs.180 and 2200 tickets were sold. 

    1. 44000 
    2. 440000 
    3. 39600 
    4. 396000

    54. What is the Number of candidates who had applied if the ratio of selected to unselected was 14 : 25. If 35 less had applied and 10 less selected, the ratio of selected to unselected would have been 3: 5? 

    1. 195 
    2. 205 
    3. 185 
    4. 175

    55. Before a battle there were the ratio of captains to soldiers was 2:7. During the war 25 captains and 100 soldiers were martyred. The new ratio of captains to soldiers became 3:10. What is the number of soldiers after the war? 

    1. 250 
    2. 200 
    3. 150 
    4. 100


    56. The ratio of the sum of the salaries of A and B to the difference of their salaries is 11:1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11:1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs 1,82,000? 

    1. 72000 
    2. 60000 
    3. 50000 
    4. 86400

    57. If by increasing the price of a ticket in the ratio 8:11 the number of tickets sold fall in the ratio 23:21 then what is the increase (in Rs) in revenue if revenue before increase in price of ticket was Rs 36,800? 

    1. 21250 
    2. 9400 
    3. 7850 
    4. 12850

    58. The ratio of ages of the father and mother was 11:10 when their son was born. The ratio of ages of the father and mother will be 19:18 when the son will be twice his present age. What is the ratio of present ages of father and mother? 

    1. 15 : 14 
    2. 14 : 13 
    3. 16 : 15 
    4. 17 : 16

    59. According to the will the wealth of Rs 21,25,000 was to be divided between the son and the daughter in the ratio 7/6 : 5/3. How much did the son get (in Rs)?

    1. 875000 
    2. 12,50,000 
    3. 10,00,000 
    4. 11,25,000

    60. If Rs 25,000 is to be divided between A, B and C in the ratio 1/10 : 1/6 : 1/15, then how much will C get (in Rs)? 

    1. 5000 
    2. 7500 
    3. 10000 
    4. 12500

    61. Rizwan has a box in which he kept red and blue marbles. The red marbles and blue marbles were in the ratio 5 : 4. After he lost 5 red marbles the ratio became 10 : 9. How many marbles does he have now? 

    1. 81 
    2. 86 
    3. 76 
    4. 91

    62. Find two numbers such that their mean proportional is 18 and the third proportional to them is 144. 

    1. 6 and 42 
    2. 9 and 36 
    3. 3 and 18 
    4. 6 and 12

    63. A purse has Rs 34.5 in the form of 1 rupee, 50-paise and 10-paise coins in the ratio of 6:9:10. Find the number of 10-paise coins. 

    1. 10 
    2. 30 
    3. 20 
    4. 40

    64. What number should be added to each of the numbers 103, 135, 110 and 144 so that the resulting numbers are in proportion? 

    1. 12 
    2. 15 
    3. 9 
    4. 6

    65. When ticket prices to a water park are increased in the ratio 11:12 then the number of daily visitors to the park fall in the ratio 8:7. If the daily revenues before the increase in ticket price was Rs 176,000, then find the daily revenues after the increase in ticket price. 

    1. 264000 
    2. 112000 
    3. 192000 
    4. 168000

    66. The wages of three labourers A, B and C are in the ratio 10:12:15. A's wage is increased in the ratio 5:6, B's wage is increased in the ratio 3:4 and C's wage is increased in the ratio 3:5. The new ratio of the wages of A:B:C is :

    1. 15:18:20 
    2. 12:16:25 
    3. 6:7:9 
    4. 8:6:5

    67. If 12A = 16B = 15C; find A:B:C. 

    1. 12:16:15 
    2. 15:16:12 
    3. 20:15:16 
    4. 16:15:20

    68. Find the number of students who took an exam if the ratio of those who passed to those who failed in the exam was 10:3. If 40 more students had taken the exam and 10 less had failed, then the ratio of those who passed to those who failed in the exam would have been 5:1. 

    1. 200 
    2. 250 
    3. 300 
    4. 260

    69. The ratio of the bank balance of three brothers A, B and C is 10:12:5. B transfers Rs 60,000 from his account to C's. The new ratio of the bank balances becomes 10:9:8. What is the bank balance of A (in Rs)? 

    1. 100000 
    2. 200000 
    3. 300000 
    4. 400000

    SSC CGL PRE 2018

    70. The ratio of the ages of A and B, four years ago, was 4:5. Eight years from now, the ratio of the ages of A and B will be 11 : 13. What is the sum of their present ages ? 

    1. 80 year
    2. 96 year
    3. 72 year 
    4. 76 year

    71. If x is subtracted from each of 23, 39, 32 and 56, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 4) and (3x + 1)? 

    1. 15 
    2. 14 
    3. 12 
    4. 10

    72. If x is added to each of 12, 28, 21 and 45, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 3) and (4x + 1)? 

    1. 15 
    2. 18 
    3. 12 
    4. 10

    73. When x is subtracted from each of 21, 22, 60 and 64, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 1) and (7x + 8)?  

    1. 21 
    2. 24 
    3. 27 
    4. 18

    74. The ratio of the present ages of A and B is 8 : 15. Eight years ago, the ratio of their ages was 6 : 13. What wil be the ratio of ages of A and B after 8 years from now? 

    1. 5:8 
    2. 10:17 
    3. 9: 14 
    4. 5:9

    75. The price of two articles are in the ratio 4 : 5. If the price of the first article is increased by x% and that of the other is decreased by 30%, then new prices of A and B will be in the ratio 10 : 7. The value of x is: 

    1. 24.5 
    2. 20 
    3. 25 
    4. 22.5

    76. A sum of Rs. x is divided among A, B and C such that the ratio of shares of A and B is 7 : 12 and that of B and C is 8: 5. If the difference in the shares of A and C is Rs. 214, then the value of x is:  

    1. 11,770 
    2. 11,128 
    3. 11,342 
    4. 11,556

    77. What is the ratio of the mean proportional between 4.8 and 10.8 and the third proportional to 0.4 and 2.4? 

    1. 1:2 
    2. 2 : 1 
    3. 3 :2 
    4. 2 : 3

    78. If a : b = 3 : 2, then (5a + 2b) : (3a + 4b) is equal to: 

    1. 8 : 7 
    2. 19 : 17 
    3. 16 : 15 
    4. 17: 14

    79. If a : b = 5 : 3, then (8a - 5b) : (8a + 5b) is equal to: 

    1. 5 :11 
    2. 2 : 5 
    3. 3 : 11 
    4. 3 : 13

    80. If (5a – 3b) : (4a - 2b) = 2 : 3, then a : b is equal to: 

    1. 5 : 8 
    2. 5 : 7 
    3. 2 : 3 
    4. 3 : 4

    SSC CGL MAINS 2018

    81. In a school, 4/9 of the number of students are girls and the rest are boys, 3/5 of the number of boys are below 12 years of age and 5/12 of the number of girls are 12 years or above 12 years of age? If the number of students below 12 years of age is 480, then 5/18 of the total number of students in the school will be equal to? 

    1. 270 
    2. 315 
    3. 225 
    4. 240

    82. The ratio of the income of A to that of B is 5: 7. A and B save Rs.4,000 and Rs.5,000 respectively. If the expenditure of A is equal to 66.66% of the expenditure of B, then what the total income of A and B? 

    1. Rs.25,200 5/12
    2. Rs.24,000 
    3. Rs.26,400 
    4. Rs.28,800

    83. If (a+b) : (b+c) : (c+a) = 7:6:5 and a+b+c = 27, then what will be the value of 1/a : 1/b : 1/c? 

    1. 3:6:4 
    2. 3:2:4 
    3. 4:3:6 
    4. 3:4:2

    84. When x is added to each of 2, 3, 30 and 35, then the numbers obtained in this order, are in proportion. What is the mean proportional between (x+7) and (x-2)? 

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

    85. One year ago, the ratio of the age (in years) of A to that of B was 4 : 3. The ratio of their respective ages, 3 years from now, will be 6 : 5. What will be the ratio of respective ages of A and B, 9 years from now? 

    1. 7:6 
    2. 10:9 
    3. 9:8 
    4. 8:7

    86. Two-third of the number of employees of a company are males and the rest are females. If 3/8 of the male employees and 2/5 of the female employees are temporary employees and the total number of permanent employees is 740, then 7/15 of the total number of employees exceeds the number of temporary female employees by? 

    1. 400 
    2. 340 
    3. 308 
    4. 320

    87. What is the ratio of the third proportional to 0.4 and 0.8, to the mean proportional between 13.5 and 0.24? 

    1. 5:4 
    2. 7: 8 
    3. 8:9 
    4. 9: 10

    88. 5 years ago, the ratio of the age of A to that of B was 4: 5. Five years hence, the ratio of the age of A to that of B will be 6 : 7. If, at present, C is 10 years younger than B, then what will be the ratio of the present age of A to that of C? 

    1. 3:2 
    2. 5:4 
    3. 4:3 
    4. 5:3

    89. A sum of Rs. x is divided among A, B and C such that the ratio of the shares of A and B is 6:7 and the ratio of B and C is 3: 2. If the difference between the shares of A and C is Rs.540, then the value of x is? 

    1. 7425 
    2. 7020 
    3. 7155 
    4. 7290

    90. The ratio of the incomes of A and B last year was 4 : 3, respectively. The ratios of their individual incomes of the last year and the present year are 3 : 4 and 5 : 6, respectively. If their total income for the present year is Rs.8.04 lakh, then the income of B last year was? 

    1. Rs.2.7 lakh 
    2. Rs.2.4 lakh 
    3. Rs.3.6 lakh 
    4. Rs.2.8 lakh

    91. Two numbers are in the ratio 3 : 5. If 13 is subtracted from each, the new numbers are in the ratio 10 : 21. If 15 is added to each of the original numbers, then the ratio becomes:  

    1. 5 : 7 
    2. 23 : 33 
    3. 4 : 5 
    4. 24 : 35

    92. A, B and C spend 80%, 85% and 75% of their incomes, respectively. If their savings are in the ratio 8 : 9 : 20 and the difference between the incomes of A and C is Rs.18,000, then the income of B is? 

    1. Rs.24,000 
    2. Rs.27,000
    3. Rs.30,000 
    4. Rs.36,000

    93. If (5x+2y) : (10x + 3y) = 5 : 9, then (2x2 + 3y2 ) : (4x² + 9y2 ) = ? 
    1. 31 : 87 
    2. 10 : 27 
    3. 16 : 47 
    4. 1 : 3

    94. In an office, 5/8 of the total number of employees are males and the rest are females. 2/5 of the number of males are non-technical workers while 2/3 of the number of females are technical workers. What fraction of the total number of employees are technical workers? 

    1. 5/8 
    2. 2/5
    3. 1/2 
    4. 3/8

    95. A sum is divided among A, B, C and D such that the ratio of the shares of A and B is 2: 3, that of B and C is 1: 2 and that of C and D is 3:4. If the difference between the shares of A and D is Rs.648, then find the sum of their shares? 

    1. Rs.2,052 
    2. Rs.2,160 
    3. Rs.2,484 
    4. Rs.1,944

    CGL PRE 2019

    96. The ratio of the number of boys to the number of girls in a school of 640 students, is 5:3, if 30 more girls are admitted in the school, then how many more boys should be admitted so that the ratio of boys of that of the girls, become 14:9?

    1. 15 
    2. 30 
    3. 20 
    4. 25

    97. If x is the mean proportional between 12.8 and 64.8 and y is the third proportional to 38.4 and 57.6, then 2x : y is equal to: 

    1. 2 : 3 
    2. 1 : 2 
    3. 3 : 4 
    4. 4 : 5


    98. If 2x+1, x+2, 2 and 5 are in proportion, then what is the mean proportional between 3.5(1-x) and 8(1+x)?

    1. 5.5 
    2. 4.25 
    3. 5.25 
    4. 4.5

    99. The income of A is 60% less than that of B, and the expenditure of A is equal to 60% of B's expenditure. If A's income is equal to 70% of B's expenditure, then what is the ratio of the saving of A and B? 

    1. 3 : 8 
    2. 5 : 9 
    3. 4 : 7 
    4. 2 : 15

    100. The ratio of boys and girls in a group is 7 : 6, if 4 more boys join the group and 3 girls leave the group, then the ratio of boys to girls become 4 : 3. What is the total number of boys and girls initially in the group? 

    1. 117 
    2. 78 
    3. 91 
    4. 104

    101. A sum of x rupees was divided between A, B, C, and D in the ratio 1/2 : 1/5 : 1/6 : 1/9. If the difference between the shares of B and D is 832 rupees then the value of x is: 

    1. 7592 
    2. 7384 
    3. 7696 
    4. 7488

    102. The ratio of the ages of A and B, 8 years ago, was 2:3. Four years ago, the ratio of their ages was 5:7, what will be the ratio of their ages 8 years from now?  

    1. 4:5 
    2. 3:4 
    3. 7:8 
    4. 5:6

    103. What x is added to each of 10, 16, 22 and 32, the numbers so obtained in this order are in proportion? What is the mean proportion between the number (x+1) and (3x+1)?

    1. 12 
    2. 9 
    3. 15 
    4. 10

    104. The sum of the squares of 3 natural numbers is 1029, and they are in the proportion 1:2:4. The difference between greatest number and smallest number is: 

    1. 21 
    2. 18 
    3. 15 
    4. 31

    105. In a wallet, there are notes of the denominations 10 rupees and 50 rupees. The total number of notes is 12. The number of 10 rupees and 50 rupees notes are in the ratio of 1:2. Total money in the wallet is: 

    1. 440 
    2. 280 
    3. 360 
    4. 110

    CGL MAINS 2019

    106. In a school, 3/8 of the number of students are girls and the rest are boys. One-third of the number of boys are below 10 years and 2/3 of the number of girls are also below 10 years. If the number of students of age 10 or more years is 260, then the number of boys in the school is: 

    1. 280 
    2. 300 
    3. 234 
    4. 312

    107. The sum of the present ages of a father and son is 52 years. Four years hence, the son's age will be 1/4 that of the father. What will be the ratio of the ages of the son and father, 10 years from now? 

    1. 2:7 
    2. 2:5 
    3. 3:8 
    4. 1:3

    108. When x is added to each of 9, 15, 21 and 31, the numbers so obtained are in proportion. What is the mean proportional between the numbers (3x - 2) and (5x + 4)? 

    1. 35 
    2. 20 
    3. 30 
    4. 42

    109. The monthly incomes of A and B are in the ratio 3: 5 and the ratio of their savings is 2: 3. If the income of B is equal to three times the savings of A, then what is the ratio of the expenditures of A and B? 

    1. 5:8 
    2. 8:15 
    3. 7:11 
    4. 3:7

    110. If (10a3 + 4 b³) : (11a3 - 15b3 ) = 7 : 5, then (3a + 5b) : (9a - 2b) =? 

    1. 10:13 
    2. 5:4 
    3. 3:2 
    4. 8:7

    111. A person divided a certain sum between his three sons in the ratio 3: 4: 5. Had he divided the sum in the ratio 1/3 : 1/4 : 1/5, the son, who got the least share earlier, would have got ₹ 1,188 more. The sum (in ₹) was: 

    1. 6,840 
    2. 6,768 
    3. 7,008 
    4. 5,640

    112. The ratio of the monthly incomes of X and Y is 5:4 and that of their monthly expenditures is 9:7. If the income of Y is equal to the expenditure of X, then what is the ratio of the savings of X and Y?  

    1. 6:7 
    2. 8:9 
    3. 7:6 
    4. 9:8

    113. A certain sum is divided between A, B, C and D such that the ratio of the shares of A and B is 1: 3, that of B and C is 2: 5, and that of C and D is 2: 3. If the difference between the shares of A and C is ₹ 3,510, then the share of D is: 

    1. 6,075 
    2. 4,050 
    3. 4,320 
    4. 3,240

    114. Raju ate 3/8 part of a pizza and Adam 3/10 ate part of the remaining pizza. Then Renu ate 4/7 part of the pizza that was left. What fraction of the pizza is still left? 

    1. 1/4 
    2. 5/12 
    3. 3/16 
    4. 1/8

    115. A, B and C invested capital in the ratio 5:7:4, the timing of their investments being in the ratio x: y: z. If their profits are distributed in the ratio 45:42:28, then x: y: z =? 

    1. 9:6:7 
    2. 6:7:9 
    3. 9:4:7 
    4. 7:9:4

    116. The monthly salaries of A and B are the same. A, B and C donate 10%, 8% and 9% respectively, of their monthly salaries to a charitable trust. The difference between the donations of A and B is ₹ 400. The total donation by A and B is ₹ 900 more than that of C. What is the monthly salary of C? 

    1. 25,000 
    2. 36,000 
    3. 30,000 
    4. 27,000

    117. When 5 children from class A join class B, the number of children in both classes is the same. If 25 children from B, join A, then the number of children in A becomes double the number of children in B. The ratio of the number of children in A to those in B is: 

    1. 9:8 
    2. 19:17 
    3. 18:17 
    4. 19:18

    118. If a : b : c = 1/4 : 1/3 : 1/2 then a/b : b/c : c/a =?  

    1. 12:9:8 
    2. 8:9:24 
    3. 9:8:24 
    4. 9:12:8

    119. When x is subtracted from each of 19, 28, 55 and 91, the numbers so obtained in this order are in proportion. What is the mean proportional between (x+9) and x2 ?

    1. 28 
    2. 24 
    3. 32 
    4. 27

    120. A sum of ₹ 1,50,000 is distributed among three persons - A, B and C so that they receive 20%, 30% and 50%, respectively. A receives the same amount from another sum of money which is distributed among them so that they receive 50%, 30% and 20%, respectively. Find the total amount received from both sums of money, by B. 

    1. 55,000 
    2. 60,000 
    3. 63,000 
    4. 58,000

    121. The train ticket fare from places A to B in 2nd class AC and 3rd class AC is ₹ 2,500 and ₹ 2,000, respectively. If the fares of 2nd class AC and 3rd class AC are increased by 20% and 10% respectively, then find the ratio of the new fares of 2nd class AC and 3rd class AC. 

    1. 12:11 
    2. 13:11 
    3. 15:11 
    4. 15:13


    CGL PRE 2017 (Mixture & Alligation)

    122. Three bottles of equal capacity containing mixture of milk and water in ratio 2: 5, 3: 4 and 4: 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?

    1. 73: 106 
    2. 73: 116 
    3. 73: 113 
    4. 73: 189

    123. In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%? 

    1. 2: 1 
    2. 2: 3 
    3. 5: 2 
    4. 3: 7

    124. Three boxes of capacity 24 kg, 36 kg and 84 kg are completely filled with three varieties of wheat A, B and C respectively. All the three boxes were emptied and the three types of wheat were thoroughly mixed and the mixture was put back in the three boxes. How many kg of type A wheat would be there in the third box? 

    1. 10 
    2. 12 
    3. 14 
    4. 16

    125. Three bottles of equal capacity have mixture of milk and water in ratio 5: 7, 7: 9 and 2: 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

    1. 49.6 
    2. 52.3 
    3. 51.2 
    4. 50.7

    126. In what ratio tea at Rs 240/kg should be mixed with tea at Rs 280/kg so that on selling the mixture at Rs 324/kg there is a profit of 20%? 

    1. 1: 1 
    2. 1: 2 
    3. 1: 3 
    4. 1: 4

    127. A merchant buys 50 litres of milk daily at the rate of ₹ 40 per litre. He mixes 5 litres of water in it and sells at the rate ₹ 42 per litre. His gain is:

    1. 17.2% 
    2. 14.4% 
    3. 16.6% 
    4. 15.5%

    128. Two bottles of the same capacity are 35% and 33.33% full of orange juice, respectively. They are filled up completely with apple juice and then the contents of both bottles are emptied into another vessel. The percentage of apple juice in the mixture is:- 

    1. 60.66 
    2. 64.33 
    3. 65.83
    4. 34.16

    129. 25 liters of a mixture contains 30% of sprit and rest water. If 5 liters of water be mixed in it. The percentage of spirit in the new mixture is: (CGL Pre 2020)

    1. 12.5% 
    2. 33.33% 
    3. 45% 
    4. 25%

    CGL MAINS 2017 (Mixture & Alligation)

    130. In what ratio should coffee powder costing Rs 2500/kg be mixed with coffee powder costing Rs 1500/kg so that the cost of the mixture is Rs 2250/kg? 

    1. 1: 4 
    2. 4: 1 
    3. 3: 1 
    4. 1: 3

    131. A beaker contains acid and water in the ratio 1: x. When 300 ml of the mixture and 50 ml of water are mixed, the ratio of acid and water becomes 2: 5. What is the value of x? 

    1. 2 
    2. 1 
    3. 3 
    4. 4

    132. A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture will contain twice as much pure milk as water, then how many litres of pure milk does the original mixture contain? 

    1. 110 
    2. 55 
    3. 220 
    4. 70

    133. If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7) % of fat. What ratio was the cow's milk mixed with buffalo's milk? 

    1. 2: 5 
    2. 1: 5 
    3. 2: 3 
    4. 2: 1

    134. A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now? 

    1. 45 
    2. 40 
    3. 35 
    4. 44

    135. An alloy is made by mixing metal A costing Rs 2000/kg and metal B costing Rs 400/kg in the ratio A: B = 3: 1. What is the cost (in Rs) of 8 kilograms of this alloy?

    1. 1600 
    2. 9800 
    3. 6400 
    4. 12800

    136. A jar contains a blend of a fruit juice and water in the ratio 5: x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1: 1. What is the value of x? 21 February 

    1. 3 
    2. 1 
    3. 2 
    4. 4

    137. An alloy contains copper and tin in the ratio 3: 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy? 

    1. 250 
    2. 750 
    3. 1000 
    4. 500

    138. If x beakers of 100 ml containing 1: 4 acid-water solution are mixed with y beakers of 200 ml containing 3: 17 acid-water solution then the ratio of acid to water in the resulting mixture becomes 19: 91. Find x: y. 

    1. 5: 3 
    2. 3: 5 
    3. 7:13 
    4. 13:7

    139. In what ratio should 20% ethanol solution be mixed with 40% ethanol solution to obtain a 28% ethanol solution? 

    1. 2: 3 
    2. 8: 5 
    3. 3: 2 
    4. 5: 8

    140. How many litres of water should be added to a 7.5 litre mixture of acid and water containing acid and water in the ratio of 1: 2 such that the resultant mixture has 20% acid in it?

    1. 10 
    2. 2.5 
    3. 7.5 
    4. 5

    CGL MAINS 2018 (Mixture & Alligation)

    141. In what ratio, sugar costing Rs.60 per kg be mixed with sugar costing Rs.42 per kg such that by selling the mixture at Rs.56 per kg there is a gain of 12%? 

    1. 5: 6 
    2. 8: 9 
    3. 4: 5 
    4. 5: 7

    142. The ratios of copper to zinc in alloys A and B are 3: 4 and 5: 9, respectively. A and B are taken in the ratio 2: 3 and melted to form a new alloy C. What is the ratio of copper to zinc in C? 

    1. 8: 13 
    2. 3: 5 
    3. 9: 11 
    4. 27: 43

    143. 40 litres of 60% concentration of acid solution is added to 35 litres of 80% concentration of acid solution. What is the concentration of acid in the new solution? 

    1. 66% 
    2. 66.66% 
    3. 69.33% 
    4. 69%

    144. Alloy A contains copper and zinc in the ratio of 4: 3 and alloy B contains copper and zinc in the ratio of 5: 2. A and B are taken in the ratio of 5: 6 and melted to form a new alloy. The percentage of zinc in the new alloy is closest to? 

    1. 54 
    2. 34.2 
    3. 36.8 
    4. 35

    145. A vessel contains a 32 litre solution of acid and water in which the ratio of acid and water is 5: 3. If 12 litres of the solution are taken out and 7.5 litres of water are added to it, then what is the ratio of acid and water in the resulting solution? 

    1. 4: 7 
    2. 5: 6 
    3. 4: 9 
    4. 8: 11

    146. How many kg of salt costing Rs.28 per kg must be mixed with 39.6 kg of salt costing Rs.16 per kg, so that selling the mixture at Rs.29.90, there is a gain of 15%? 

    1. 138 
    2. 198 
    3. 200 
    4. 130

    CGL MAINS 2019 (Mixture & Alligation)

    147. A and B are solutions of acid and water. The ratios of water and acid in A and B are 4: 5 and 1: 2 respectively. If x litres of A is mixed with y litres of B, then the ratio of water and acid in the mixture becomes 8: 13. What is x: y? 

    1. 5: 6 
    2. 2: 5 
    3. 3: 4 
    4. 2: 3

    148. How many kg of rice costing ₹ 42 per kg should be mixed with 7.5 kg rice costing ₹ 50 per kg so that by selling the mixture at ₹ 53.10 per kg, there is a gain of 18%? 

    1. 12.5 
    2. 10.5 
    3. 8 
    4. 9

    149. In what ratio should sugar costing ₹ 40 per kg be mixed with sugar costing ₹ 48 per kg, so as to earn a profit of 20% by selling the mixture at ₹ 54 per kg? 

    1. 2: 3 
    2. 4: 7 
    3. 3: 5 
    4. 5: 8

    150. A drink of chocolate and milk contains 8% pure chocolate by volume. If 10 litres of pure milk are added to 50 litres of this drink, the percentage of chocolate in the new drink is: 

    1. 5.33 
    2. 6.33
    3. 6.66
    4. 5.66

    151. Alloy A contains metals x and y in the ratio 5: 2 and alloy B contains these metals in the ratio 3: 4. Alloy C is prepared by mixing A and B in the ratio 4: 5. The percentage of x in alloy C is: 

    1. 44.44
    2. 56 
    3. 45 
    4. 55.55

    152. A container contains 20L mixture in which there is 10% sulphuric acid. Find the quantity of sulphuric acid to be added in it to make the solution to contain 25% sulphuric acid.  

    1. 3 L 
    2. 5 L 
    3. 4 L 
    4. 2 L

    153. The price of a variety of a commodity is ₹ 7/kg and that of another is ₹ 12/kg. Find the ratio in which two varieties should be mixed so that the price of the mixture is ₹ 10/kg. 

    1. 3: 4 
    2. 4: 5 
    3. 2: 3 
    4. 2: 5

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