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Quiz: Average

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Number of Questions: 50

Question: 16 -

The average age of 36 students in a group is 14 years. When teacher’s age is included to it, the average increases by one. Find out the teacher’s age in years?

Options:

  1. 49

  2. 53

  3. 50

  4. 51

    5. Answer:

    51
    Solution:

    → After including teacher number of person’s is 37 and average is added by one. So, 14+1=15. 
              36                             14 
    Difference is +1          Difference is +1 
            37                               15 

    → (36*1) +(15*1) = 51 years. 
    So, the age of the teacher is 51 years. 

Question: 17 -

The average age of all 15 members in a family is 30 years. The ratio between male and female is 3:2. If the total age of men is the 16/25 of the total age of family. Find the average age of women.

Options:

  1. 27 years

  2. 30 years

  3. 32 years

  4. 25 years

    5. Answer:

    27 years
    Solution:

    Total age = 15x30=450
    Male = 15x3/5=9
    Female = 15x2/5=6
    Total age of men = 16/25x450=288
    Total age of Women = 450-288=162
    Average of women= 162/6 =27 years

Question: 18 -

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. Find out the average age of the team. 

Options:

  1. 22

  2. 23

  3. 25

  4. 24

    5. Answer:

    23
    Solution:

    → Average age of the team is X. 
    → Sum of the age of all the 11 members = 11X 
    → Age of captain = 26 
    → Age of wicket keeper = 29 
    → Average age of 9 remaining members = (11X – (26+29))/9 = (X-1) 
    → Solving this we get X = 23 years. 

Question: 19 -

In Mahesh’s opinion, his age is greater than 56 years but less than 63 years. His sister thinks that his age cannot be greater than 59 years and his mother’s view his age is greater than 51 years but less than 60 years. What is his average age?

Options:

  1. 58

  2. 57

  3. 51

  4. 55

    5. Answer:

    58
    Solution:

    Let Mahesh age = x
    In Mahesh’s opinion his age = 56<x<62
    In his sister’s opinion his age = 59>=x
    In his mother’s opinion his age = 51<x<60
    Average = (57+58+59)/3 = 58 years

Question: 20 -

The library has an average of 510 visitors on Sundays and 240 on other days. What is the average number of visitors per day in a month of 30 days beginning with a Sunday? 

Options:

  1. 28

  2. 29

  3. 32

  4. 30

    5. Answer:

    28
    Solution:

    In a month of 30 days beginning with a Sunday, there will be 4 complete weeks and another two days which will be Sunday and Monday. 
    → Hence there will be 5 Sundays and 25 remaining days in a month begin with Sunday. 
    → Average visitors in a month of 30 days = (510*5) + (240*25)/30 = 285. 
    So, the average visitors in a month of 30 days is 28