Mixtures: Test 1

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Mixtures Test 1: questions and answers

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  1. 1. In what ratio should liquids costing Rs. 18 and Rs. 36 per litre be mixed to get a mixture costing Rs. 28 per litre?
    1. 2 : 1
    2. 5 : 4
    3. 1 : 2
    4. 4 : 5

    Reference: q-d4d3252c-117 · Report this question

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    Answer: D. 4 : 5

    By alligation, cheaper : dearer = (36 − 28) : (28 − 18) = 4 : 5.
  2. 2. A vessel contains 48 litres of milk and 6 litres of water. What fraction of the mixture is milk?
    1. 9/8
    2. 8/9
    3. 8
    4. 1/9

    Reference: q-496aab4e-97 · Report this question

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    Answer: B. 8/9

    Milk fraction = milk / total = 48 / 54 = 8/9.
  3. 3. Milk and water are mixed in the ratio 5:4. If the mixture is 72 litres, how much milk is present?
    1. 40
    2. 43
    3. 42
    4. 39

    Reference: q-fe90ee11-98 · Report this question

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    Answer: A. 40

    Milk = 5 / (5 + 4) × 72 = 40 litres.
  4. 4. A 90 litre mixture has milk and water in ratio 6:4. How much milk is present after 2 litres of the mixture are removed?
    1. 53.8
    2. 51.8
    3. 54.8
    4. 52.8

    Reference: q-a2a785ad-120 · Report this question

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    Answer: D. 52.8

    The ratio stays 6:4; remaining mixture is 88 litres, so milk = 52.8 litres.
  5. 5. How many litres of water should be added to 3 litres of milk at Rs. 43 per litre to make the average price Rs. 20 per litre?
    1. 24.75
    2. 26.75
    3. 27.75
    4. 21.75

    Reference: q-5d7ae23d-125 · Report this question

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    Answer: A. 24.75

    Using weighted average: (3×43) / (3+x) = 20; solve for x = 24.75 litres.
  6. 6. In what ratio should liquids costing Rs. 32 and Rs. 46 per litre be mixed to get a mixture costing Rs. 44 per litre?
    1. 23 : 16
    2. 1 : 6
    3. 6 : 1
    4. 16 : 23

    Reference: q-a3d84ba5-117 · Report this question

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    Answer: B. 1 : 6

    By alligation, cheaper : dearer = (46 − 44) : (44 − 32) = 1 : 6.
  7. 7. A vessel contains 49 litres of milk and 19 litres of water. What fraction of the mixture is milk?
    1. 49/68
    2. 49/19
    3. 68/49
    4. 19/68

    Reference: q-28672951-98 · Report this question

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    Answer: A. 49/68

    Milk fraction = milk / total = 49 / 68 = 49/68.
  8. 8. Milk and water are mixed in the ratio 6:4. If the mixture is 40 litres, how much milk is present?
    1. 24
    2. 22
    3. 21
    4. 27

    Reference: q-5340d40d-98 · Report this question

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    Answer: A. 24

    Milk = 6 / (6 + 4) × 40 = 24 litres.
  9. 9. A 50 litre mixture has milk and water in ratio 4:1. How much milk is present after 2 litres of the mixture are removed?
    1. 37.4
    2. 38.4
    3. 35.4
    4. 41.4

    Reference: q-76a6df32-120 · Report this question

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    Answer: B. 38.4

    The ratio stays 4:1; remaining mixture is 48 litres, so milk = 38.4 litres.
  10. 10. How many litres of water should be added to 4 litres of milk at Rs. 30 per litre to make the average price Rs. 38 per litre?
    1. 3.6
    2. 2.6
    3. 1.6
    4. 4.6

    Reference: q-1bc8695b-125 · Report this question

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    Answer: C. 1.6

    Using weighted average: (4×30) / (4+x) = 38; solve for x = 1.6 litres.

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