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Quiz: Average

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Number of Questions: 50

Question: 31 -

Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them?

Options:

  1. 29.25

  2. 30.2

  3. 32

  4. 35

    5. Answer:

    29.25
    Solution:

    Average of 9 = x
    9x = 8 * 3 + x * 2 x = 3.25
    Total = 9 * 3.25 = 29.25

Question: 32 -

The average marks in mathematics scored by the pupils of a school at the public examination were 39. If four of these pupils who actually scored 5, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. Find the number of pupils sent up for examination from the school?

Options:

  1. 20

  2. 32

  3. 30

  4. 25

    5. Answer:

    25
    Solution:

    39x = 5 + 12 + 15 + 19 + (x – 4)44
    x = 25

Question: 33 -

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team?

Options:

  1. None of these

  2. 24 years

  3. 23 years

  4. 25 years

    5. Answer:

    23 years
    Solution:

    Let the average of the whole team be x years. 
    11x - (26 + 29) = 9(x - 1) 
    = 11x - 9x = 46 
    = 2x = 46 => x = 23 
    So, average age of the team is 23 years.

Question: 34 -

The arithmetic mean of the scores of a group of students in a test was 52. The brightest 20% of them secured a mean score of 80 and the dullest 25% a mean score of 31. The mean score of remaining 55% is:

Options:

  1. 54.6 approx

  2. 45

  3. 50

  4. 51.4 approx

    5. Answer:

    51.4 approx
    Solution:

    Let the required means score be x. Then,

    20 * 80 + 25 * 31 + 55 * x = 52 * 100
    = 1600 + 775 + 55x = 5200
    = 55x = 2825
    = x = 565/11 = 51.4.

Question: 35 -

The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday?

Options:

  1. 34 degree

  2. 36 degree

  3. 40 degree

  4. 38 degree

    5. Answer:

    34 degree
    Solution:

    M + Tu + W + Th = 4 * 48 = 192
    Tu + W + Th + F = 4 * 46 = 184
    M = 42
    Tu + W + Th = 192 -42 = 150
    F = 184 – 150 = 34