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Average

Quantitative Aptitude · Maths Bookwise · Arithmetic

Useful for: SSC CGL

BOOK-GUIDED ORIGINAL SSC MATHS PRACTICE — Average

FOUNDATION

Average = sum of observations / number of observations.

METHOD

Identify the quantities given, choose the exact relationship, calculate in the same unit, then check the answer against the question.

WORKED EXAMPLE 1

The average of 16 numbers is 29. If 216 is added, find the new average.

Original sum = 16×29=464. New sum = 464+216=680; divide by 17 = 40.

WORKED EXAMPLE 2

The average of 8 numbers is 47. If 128 is added, find the new average.

Original sum = 8×47=376. New sum = 376+128=504; divide by 9 = 56.

IMPORTANT EXCEPTION / COMMON TRAP

When adding a new observation the count also increases.

QUICK REVISION

Average = sum of observations / number of observations.

SEE MORE: https://study.kundali-iq.com/ssc-maths/average/

For complete timed maths practice, use SSC CGL Test Series → New Maths 100 Mixed Sets or Chapter-wise sets. These are independent original questions, not copied previous-year questions.

Practice MCQs

  1. The average of 16 numbers is 29. If 216 is added, find the new average.

    1. 44
    2. 40
    3. 42
    4. 38

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    Answer: (b) 40. Original sum = 16×29=464. New sum = 464+216=680; divide by 17 = 40.

  2. The average of 8 numbers is 47. If 128 is added, find the new average.

    1. 56
    2. 62
    3. 53
    4. 59

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    Answer: (a) 56. Original sum = 8×47=376. New sum = 376+128=504; divide by 9 = 56.

  3. The average of 11 numbers is 39. If 183 is added, find the new average.

    1. 51
    2. 54
    3. 48
    4. 57

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    Answer: (a) 51. Original sum = 11×39=429. New sum = 429+183=612; divide by 12 = 51.

  4. The average of 11 numbers is 44. If 68 is added, find the new average.

    1. 52
    2. 43
    3. 46
    4. 49

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    Answer: (c) 46. Original sum = 11×44=484. New sum = 484+68=552; divide by 12 = 46.

  5. The average of 8 numbers is 58. If 7 of them are 58, 54, 43, 40, 58, 78, 80, find the remaining number.

    1. 53
    2. 47.7
    3. 58.3
    4. 63.6

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    Answer: (a) 53. Total = average × count.

  6. The average of 6 numbers is 45. If 5 of them are 56, 59, 48, 34, 22, find the remaining number.

    1. 45.9
    2. 51
    3. 56.1
    4. 61.2

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    Answer: (b) 51. Total = average × count.

  7. The average of 6 numbers is 33. If 5 of them are 25, 40, 31, 34, 23, find the remaining number.

    1. 54
    2. 45
    3. 49.5
    4. 40.5

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    Answer: (b) 45. Total = average × count.

  8. The average of 5 numbers is 52. If 4 of them are 19, 40, 71, 26, find the remaining number.

    1. 104
    2. 114.4
    3. 93.6
    4. 124.8

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    Answer: (a) 104. Total = average × count.

  9. The average of 7 numbers is 75. If 6 of them are 76, 88, 79, 69, 74, 70, find the remaining number.

    1. 69
    2. 62.1
    3. 75.9
    4. 82.8

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    Answer: (a) 69. Total = average × count.

  10. The average of 5 numbers is 39. If 4 of them are 38, 30, 38, 38, find the remaining number.

    1. 56.1
    2. 45.9
    3. 61.2
    4. 51

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    Answer: (d) 51. Total = average × count.

  11. The average of 5 numbers is 42. If 4 of them are 34, 31, 42, 36, find the remaining number.

    1. 60.3
    2. 73.7
    3. 67
    4. 80.4

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    Answer: (c) 67. Total = average × count.

  12. The average of 8 numbers is 33. If 7 of them are 43, 32, 30, 43, 42, 26, 21, find the remaining number.

    1. 30
    2. 33
    3. 24
    4. 27

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    Answer: (d) 27. Total = average × count.

  13. The average of 6 numbers is 46. If 5 of them are 34, 42, 56, 46, 49, find the remaining number.

    1. 49
    2. 53.9
    3. 44.1
    4. 58.8

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    Answer: (a) 49. Total = average × count.

  14. The average of 8 numbers is 33. If 7 of them are 45, 29, 48, 48, 46, 23, 19, find the remaining number.

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

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    Answer: (a) 6. Total = average × count.

  15. The average of 7 numbers is 37. If 6 of them are 52, 24, 32, 31, 51, 49, find the remaining number.

    1. 26
    2. 23
    3. 20
    4. 17

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    Answer: (c) 20. Total = average × count.

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Notes and questions are written by Kundali IQ for practice. They are not official papers; always check the latest official notification for the syllabus and pattern.