SSC CGL Exam Tier-I: Quantitative Aptitude: Ratio And Proportion Quiz!

20 Questions | Total Attempts: 2590

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SSC CGL Exam Tier-I: Quantitative Aptitude: Ratio And Proportion Quiz!

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Questions and Answers
  • 1. 
    A container has 80 L of milk. From this container, 8 L of milk was taken out and replaced by water. The process was further repeated twice. The volume of milk in the container after that is
    • A. 

      58.23 L

    • B. 

      85.23 L

    • C. 

      58.32 L

    • D. 

      85.32 L

  • 2. 
    A can contains a mixture of two liquids A and B in the ratio 7: 5. When 9 L of the mixture is drawn off and the can is filled with B, the ratio of A and B becomes 7: 9. Liters of liquid A contained by the can initially was:
    • A. 

      10

    • B. 

      20

    • C. 

      21

    • D. 

      25

  • 3. 
    What number should be added to or subtracted from each term of the ratio 17: 24 so that it becomes equal to 1: 2?
    • A. 

      5 is subtracted

    • B. 

      10 is added

    • C. 

      7 is added

    • D. 

      10 is subtracted

  • 4. 
    The ratio of weekly incomes of A and B is 9: 7 and the ratio of their expenditures are 4 : 3. If each saves Rs. 200 per week, then the sum of their weekly incomes is
    • A. 

      Rs. 3200

    • B. 

      Rs. 4200

    • C. 

      Rs. 4800

    • D. 

      Rs. 5600

  • 5. 
    The ratio of alcohol and water in 40 L of the mixture is 5: 3.8 L of the mixture is removed and replaced with water, Now, the ratio of the alcohol and water in the resultant mixture is
    • A. 

      1 : 2

    • B. 

      1 : 1

    • C. 

      2 : 1

    • D. 

      1 : 3

  • 6. 
    Rama's expenditure and savings are in the ratio 3: 2. His income increases by 10%. His expenditure also increases by 12%. His saving increases by:
    • A. 

      7%

    • B. 

      10%

    • C. 

      9%

    • D. 

      13%

  • 7. 
    Three numbers are in the ratio 3: 4: 5. The sum of the largest and the smallest equals the sum of the second and 52. The smallest number is
    • A. 

      20

    • B. 

      27

    • C. 

      39

    • D. 

      52

  • 8. 
    The ratio of the ages of Ram and Rahim 10 yr ago was 1 : 3. The ratio of their ages 5 yr hence will be 2 : 3. Then, the ratio of their present ages is
    • A. 

      1 : 2

    • B. 

      3 : 5

    • C. 

      3 : 4

    • D. 

      2 : 5

  • 9. 
    The ratio of milk and water in mixtures of four containers are 5 : 3, 2: 1, 3: 2, and 7: 4, respectively. In which container is the quantity of milk, relative to water, minimum?
    • A. 

      First

    • B. 

      Second

    • C. 

      Third

    • D. 

      Fourth

  • 10. 
    In a mixture of 25 L, the ratio of acid to water is 4: 1. Another 3 L of water is added to the mixture. The ratio of acid to water in the new mixture is
    • A. 

      5 : 2

    • B. 

      2 : 5

    • C. 

      3 : 5

    • D. 

      5 : 3

  • 11. 
    A shopkeeper buys two varieties of tea, the price of the first being twice the second. He sells the mixture at Rs 36 per kilogram and makes a profit of 20%. If the ratio of quantities of the first and second variety in this mixture is 3: 4, then what is the cost price of each variety of tea?
    • A. 

      Rs 21, 42

    • B. 

      Rs 15, 30

    • C. 

      Rs 16.5, 33

    • D. 

      Rs 17, 34

  • 12. 
    Two liquids are mixed in the ratio 3: 5 and the mixture is sold at Rs 120 with a profit of 20%. If the first liquid is costlier than the second by Rs 2 per liter, find the cost of the costlier liquid per liter.
    • A. 

      Rs 92.30

    • B. 

      Rs 74.10

    • C. 

      Rs 101.25

    • D. 

      Rs 99.25

  • 13. 
    A grocer buys two kinds of rice at Rs 1.80 and Rs 1.20 per kg respectively. In what proportion should these be mixed, so that by selling the mixture at Rs 1.75 per kg, 25% may be gained?
    • A. 

      2 : 1

    • B. 

      3 : 2

    • C. 

      3 : 4

    • D. 

      1 : 2

  • 14. 
    A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26. The quantity of whisky replaced is
    • A. 
    • B. 
    • C. 
    • D. 
  • 15. 
    A container contains 240 L of wine. 80 L is taken out of the container every day and an equal quantity of water is put into it. Find the quantity of the wine that remains in the container at the end of the fourth day.
    • A. 

      39.2 L

    • B. 

      32 L

    • C. 

      42.5 L

    • D. 

      47.40 L

  • 16. 
    A tea trader mixed two varieties of tea, one costing Rs 3.50 per kg and the other costing Rs 4 per kg, and sells 40 kg of the mixture to a vendor at Rs 4.50 per kg and makes a profit of 20%. How much of each variety did the vendor mix?
    • A. 

      30 kg, 10 kg

    • B. 

      20 kg, 20 kg

    • C. 

      10 kg, 30 kg

    • D. 

      None of these

  • 17. 
    • A. 

      61 : 64

    • B. 

      27 : 37

    • C. 

      16 : 19

    • D. 

      None of these

  • 18. 
    Prabhu purchased 30 kg of rice at the rate of Rs 17.50 per kg and another 30 kg of rice at a certain rate. He mixed the two rice and sold the entire quantity at the rate of Rs 18.60 per kg and made a 20% overall profit. At what price per kg did he purchase a lot of another 30 kg rice?
    • A. 

      Rs 14.50

    • B. 

      Rs 12.50

    • C. 

      Rs 15.50

    • D. 

      Rs 13.50

  • 19. 
    A person has a chemical of Rs 50 per liter. In what ratio should water be mixed in that chemical so that after selling the mixture at Rs 40 per liter he may get a profit of 50%.
    • A. 

      8 : 7

    • B. 

      9 : 8

    • C. 

      10:7

    • D. 

      4 : 3

  • 20. 
    A trader has 50 kg of pulses, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. What is the quantity sold at 18% profit?
    • A. 

      30 kg

    • B. 

      35 kg

    • C. 

      40 kg

    • D. 

      None of these