Arithmatical - Average

DIRECTIONS : Problems based on Average.
16. In an examination, a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his history paper, his average per paper would have been 65. How many papers were there in the examination?
  A.  8
  B.  9
  C.  10
  D.  11
Solution
Let the number pf papers be x.
Then, 63x + 20+2=65x
65x-63x=22
2x = 22
x = 11.
17. The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.12000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is
  A.  20
  B.  21
  C.  22
  D.  23
Solution
Let the toatl number of workers be x.
Then 8000x=(12000 x 7) + 6000 (x -7)
2000x =42000
x= 21.

18. After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member?
  A.  2 years
  B.  4 years
  C.  8 years
  D.  15 years
Solution
Age decreased= (5 x 3) years
15 years
So, required difference =15years.
19. The average age of 3 children in a family is 20% of the average age of the father and the eldest child. The total age of the mother and the youngest child is 39 years. If the father's age is 26 years. What is the age of the second child?
  A.  15 years
  B.  16 years
  C.  18 years
  D.  Caannot be determined
Solution
Since the total or average age of all the family members is not given, the given data is inadequate. So, the age of second child cannot be determined.
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