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  • Question
  • In a village the average age of n people is 42 years. But after the verification it was found that the age of a person had been considered 20 years less than the actual age, so the new average, after the correction,increased by 1. The value of n is :


  • Options
  • A. 21
  • B. 20
  • C. 22
  • D. None of these

  • Correct Answer
  • 20 

    Explanation

    It is the same as a person with 20 years more age  replaces an existing person of the group ( or village)

    Since the total age of the village having n persons, is being increased by 20 years and the average age of village is being increased by 1 year, hence there are total 20 people in the village.

     

    Alternatively :  ( n x 42 ) + 20 = ( n x 43 )

                              => n=20


  • Average problems


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    • 1. The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then :

    • Options
    • A. x = y + z
    • B. 2x = y + z
    • C. 3x = 2y - 2z
    • D. none of these
    • Discuss
    • 2. The average of any 5 consecutive odd natural numbers is k . If two more such numbers , just next to the previous 5 numbers are added , the new average becomes

    • Options
    • A. 2(k+1)
    • B. 2k-3
    • C. 2k+1
    • D. k+2
    • Discuss
    • 3. What is the average of four tenths and five thousandths

    • Options
    • A. 25002
    • B. 2502
    • C. 0.2025
    • D. none
    • Discuss
    • 4. The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is :

    • Options
    • A. 15
    • B. 20
    • C. 21
    • D. data inadequate
    • Discuss
    • 5. 16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B?

    • Options
    • A. 233/3
    • B. 243/4
    • C. 254/5
    • D. 345/7
    • Discuss
    • 6. The average expenditure of the hotel when there are 10 guests is Rs. 60 per guests and the average expenditure is Rs.40 when there are 20 Guests. If it is known that there are some fixed expenses irrespective of the number of guests then the average expenditure per guest whe there are 40 guests in the hotel.

    • Options
    • A. Rs. 30
    • B. Rs. 25
    • C. Rs. 20
    • D. can't be determined
    • Discuss
    • 7. There are 44 students in a hostel, due to the administration, 15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ?

    • Options
    • A. Rs. 404
    • B. Rs. 514
    • C. Rs. 340
    • D. Rs. 616
    • Discuss
    • 8. On a school?s Annual day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ?

    • Options
    • A. 14
    • B. 16
    • C. 12
    • D. 15
    • Discuss
    • 9. The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ?

    • Options
    • A. Rs. 8840
    • B. Rs. 11,500
    • C. Rs. 12,800
    • D. Rs. 9450
    • Discuss
    • 10. Sriram was conducting an experiment in which the average of 11 observations came to be 92, while the average of first five observations was 89, and that of the last five was 86. What was the measure of the 6th observation ?

    • Options
    • A. 134
    • B. 137
    • C. 139
    • D. 141
    • Discuss


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