Averages: Test 1

10 questions · 15 minutes · scoring and calculator rules shown before you begin

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Averages Test 1: questions and answers

Take the test first if you want an honest score. The answers and solutions below are folded away until you open them.

  1. 1. Find the average of 72, 90, 81, 40, 17.
    1. 62
    2. 60
    3. 66
    4. 64

    Reference: q-cba8c98e-40 · Report this question

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    Answer: B. 60

    Sum = 300. Average = 300 / 5 = 60.
  2. 2. What is the average of the first 32 odd numbers?
    1. 31
    2. 32
    3. 33
    4. 29

    Reference: q-ffe6d692-49 · Report this question

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    Answer: B. 32

    The average of the first n odd numbers is n = 32.
  3. 3. The average weight of 14 students is 55 kg. When a new student joins, the average becomes 56 kg. What is the weight of the new student?
    1. 70 kg
    2. 73 kg
    3. 76 kg
    4. 69 kg

    Reference: q-f658b1dc-136 · Report this question

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    Answer: A. 70 kg

    Total after joining = 15 × 56 = 840. Total before = 14 × 55 = 770. New student = 70 kg.
  4. 4. The average of 8 numbers is 41. If one number is excluded, the average of the remaining numbers becomes 40. Find the excluded number.
    1. 46
    2. 42
    3. 81
    4. 48

    Reference: q-909f751a-134 · Report this question

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    Answer: D. 48

    Sum of all = 8 × 41 = 328. Sum of the rest = 7 × 40 = 280. Excluded number = 48.
  5. 5. A batsman has an average of 30 runs in 16 innings. How many runs must he score in the next innings to raise his average to 33?
    1. 87 runs
    2. 81 runs
    3. 48 runs
    4. 79 runs

    Reference: q-25290262-127 · Report this question

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    Answer: B. 81 runs

    Required total = 17 × 33 = 561. Runs so far = 16 × 30 = 480. He needs 81 runs.
  6. 6. Find the average of 44, 27, 89, 74, 31.
    1. 53
    2. 51
    3. 55
    4. 52

    Reference: q-a8bbcd42-40 · Report this question

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    Answer: A. 53

    Sum = 265. Average = 265 / 5 = 53.
  7. 7. What is the average of the first 35 odd numbers?
    1. 38
    2. 34
    3. 35
    4. 36

    Reference: q-9f4e6ff1-49 · Report this question

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    Answer: C. 35

    The average of the first n odd numbers is n = 35.
  8. 8. The average weight of 33 students is 50 kg. When a new student joins, the average becomes 51 kg. What is the weight of the new student?
    1. 93 kg
    2. 75 kg
    3. 84 kg
    4. 83 kg

    Reference: q-76322c55-136 · Report this question

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    Answer: C. 84 kg

    Total after joining = 34 × 51 = 1734. Total before = 33 × 50 = 1650. New student = 84 kg.
  9. 9. The average of 6 numbers is 40. If one number is excluded, the average of the remaining numbers becomes 39. Find the excluded number.
    1. 45
    2. 79
    3. 48
    4. 51

    Reference: q-fc85ae91-134 · Report this question

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    Answer: A. 45

    Sum of all = 6 × 40 = 240. Sum of the rest = 5 × 39 = 195. Excluded number = 45.
  10. 10. A batsman has an average of 40 runs in 19 innings. How many runs must he score in the next innings to raise his average to 41?
    1. 56 runs
    2. 59 runs
    3. 64 runs
    4. 60 runs

    Reference: q-e29dc86d-127 · Report this question

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    Answer: D. 60 runs

    Required total = 20 × 41 = 820. Runs so far = 19 × 40 = 760. He needs 60 runs.

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