PYQ Vault

Remove part of a mixture and replace it (once or repeatedly): new concentration

This type of question, asked 8 times: 13 Sep 2025 S2, 15 Sep 2025 S1, 20 Sep 2025 S1, 21 Sep 2025 S2, 24 Sep 2025 S1, 26 Sep 2025 S1, 26 Sep 2025 S2, 26 Sep 2025 S3. All 8 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    13 Sep 2025 S2

    64
    A 75-liter mixture contains milk and water in the ratio 3:23 : 2. If 15 liters of this mixture are removed and replaced with 10 liters of pure milk, what is the new ratio of milk to water in the mixture?

    Tap an option to check your answer.

  2. Question 2

    15 Sep 2025 S1

    63
    A cistern contains 100 liters of pure syrup. 10 liters of syrup are drawn out and replaced by water. Then, 10 liters of the mixture are drawn out and replaced by water again. What is the ratio of syrup to water in the final mixture?

    Tap an option to check your answer.

  3. Question 3

    20 Sep 2025 S1

    66
    A bucket has 60 litres of a solution with sugar and water in the ratio 5:15:1. If 12 litres of the solution are replaced with water, what is the new ratio?

    Tap an option to check your answer.

  4. Question 4

    21 Sep 2025 S2

    65
    A mixture of 150 litres contains acid and water in the ratio 2:3. If 30 litres of the mixture is replaced with water, what will be the percentage of acid in the final mixture?

    Tap an option to check your answer.

  5. Question 5

    24 Sep 2025 S1

    69
    A container has a 100-litre mixture of acid and water in the ratio 4:14:1. 20 litres is removed and replaced with water. Then 20 litres is removed again and replaced with pure acid. What is the final percentage of acid?

    Tap an option to check your answer.

  6. Question 6

    26 Sep 2025 S1

    61
    A container has 60 litres of a mixture of acid and water in the ratio 7:3. 20%20\% of the mixture is taken out and replaced with water. This operation is repeated once more. What is the final percentage of acid in the mixture?

    Tap an option to check your answer.

  7. Question 7

    26 Sep 2025 S2

    70
    A tank contains 120 litres of liquid, 30%30\% of which is alcohol. If 30 litres of this mixture is replaced by another liquid containing 50%50\% alcohol, what is the percentage of alcohol in the resulting solution?

    Tap an option to check your answer.

  8. Question 8

    26 Sep 2025 S3

    60
    A 40-litres mixture of acid and water contains acid and water in the ratio 3:1. 8 litres of this mixture is removed and replaced with another solution of acid and water in the ratio 1:3. What is the final ratio of acid to water in the resulting mixture?

    Tap an option to check your answer.