Average
Practice Question and Answers Set-1

1. A company
produces an average of 4000 items per month for the first 3 months. How many
items, it much produce on an average per month over the next 9 months to
average 4375 items per month over the whole year?

a) 4500             b) 4600                c) 4680                  d) 4710

2. Of the
three numbers whose average is 60, the first is one fourth of the sum of the
others. The first number is:

a) 30               b) 36                  c) 42                    d) 45

3. The
average of 11 numbers is 10.8. If the average of the first six be 10.4 and that
of the last six is 11.5. Then the middle (6th) number is:

a) 10.3             b) 12.6                c) 13.5                  d) 15.5

4. A
cricketer whose bowling average is 24.85 runs per wicket takes 5 wickets for 52
runs and thereby decreases his average by o.85. The number of wickets taken by
him till the last match was

a) 64               b) 72                  c) 80                    d) 96

5. The
average age of 14 girls and their teacher’s age is 15 years. If the teacher’s
age is excluded the average reduces by 1. What is the teacher’s age?

a) 35
years         b) 32 years            c) 30 years              d) 29 years

6. The
average weight of 20 students in a class is increased by 0.75 kg when one of
the students weighing 30 kg is replaced by a new student. Weight of the new
student (in kg) is:

a) 35               b) 40                  c) 45                    d) 50

7. The
average monthly income of A and B is Rs 14000, that of B and C is Rs 15600 and
A and C is Rs 14400. The monthly income of C is

a) Rs
16000         b) 15000               c) Rs 14000              d) Rs 15500

8. The
average of a collection of 20 measurements was calculated to be 56 cm. But
later it was found that a mistake had occurred in one of the measurements which
was recorded as 64 cm. But should have been 61 cm. The correct average must be

a) 53
cm            b) 54.5 cm                c) 55.85 cm              d) 56.15 cm

9. The
average of 8 numbers is 20. The average of first two numbers is 151/2 and that
of the next three is 211/3. If the sixth number be less than the seventh and
eighth numbers by 4 and 7 respectively, then the eighth number is:

a) 18               b) 22                  c) 25                    d) 27

10. In a
family of 8 adults and some minors, the average consumption of rice per head
per month is 10.8 kg, while the average consumption for adults is 15 kg per
head. The number of minors in the family is:

a) 8                b) 6                   c) 7                     d) 9

11. The
average daily wages of some workers of a factory is Rs 92. There are 300 male
and 200 female workers working in the factory. Each female worker receives Rs
20 less than a male worker. The daily wages of a male worker is

a) 80               b) Rs 96               c) Rs 100                d) Rs 120

12. There
were 35 students in a hostel. If the number of students is increased by 7 the
expenditure on food increases by Rs 42 per day while the average expenditure of
students is reduced by Rs 1. What was the initial expenditure on food per day?

a) Rs
400           b) Rs 432              c) Rs 442                d) 420

13. The
average of 5 consecutive natural numbers is m. If the next three natural
numbers are also included, how much more than m will the average of these 8
numbers be?

a) 2                b) 1                   c) 1.4                   d) 1.5

14. The
average score of a class of boys and girls in an examination is A. The ratio of
boys and girls in the class is 3: 1. If the average score of the boys is A+ 1,
the average score of the girls is

a) A+1              b) A-1                 c) A+3                   d) A-3

15. The
bowling average of a cricketer was 12.4. he improves his bowling average by 0.2
points when he takes 5 wickets for 26 runs in his last match. The number of
wickets taken by him before the last match was

a) 125              b) 150                 c) 175                   d) 200

16. A
cricketer has a certain average of runs for his 8 innings, he scores 100 runs,
thereby increases his average by 9 runs. His new average of runs is

a) 20               b) 24                  c) 28                    d) 32

17. In an
examination, the average of marks was found to be 50. For deducting marks for
computational errors, the marks of 100 candidates had to be changed from 90 to
60 each and so the average of marks came down to 45. The total number of
candidates, who appeared at the examination, was

a) 600              b) 300                 c) 200                   d) 150

18. a, b, c,
d, e, f, g are consecutive even numbers. j, k, l, m, n are consecutive odd
numbers. The average of all the numbers is

a) 3
((a+n)/2)  b) 3((l+d)/2)        c) ((a+b+m+n)/4) d) (j+c+n+g)/4

19. The
average of n numbers x1, x2, ……xn is x ̅. Then the value of ∑n_(i=1)〖〖 (x〗_i- x ̅ 〗)
is equal to

a) n                b) 0                   c) n x ̅                   d) x ̅

20. B was
born when A was 4 years 7 months old and C was born when B was 3 years 4 months
old. When C was 5 years 2 months old, then their average age was

a) 8 years 9
months b) 7 years 3 months    c) 8 years
7 months      d) 8 years 11 months

21. In the
afternoon, a student read 100 pages per hour. What was her average rate of
reading, in pages per hour?

a) 60               b) 70                  c) 48                    d) 50

22. Ram aims
to score an average half yearly exam. But his average in quarterly is 3 marks
less than his target and that in half yearly is 2 marks more between the total
marks scored in both the exams is 25. Total marks aimed by Ram are:

a) 400              b) 410                 c) 420                   d) 380

23. In an
exam, the average marks obtained by the students was found to be 60. After
omission of computational errors, the average marks of some 100 candidates had
to be changed from 60 to 30 and the average with respect to all the examinees
came down to 45 marks. The total number of candidates who took the exam was

a) 200              b)    210              c) 240                   d) 180

24. If the
average of x and 1/x (x≠0) is M, then the average of x^2 and 1/x^2 is

a) 1-
M2            b) 1- 2 M              c) 2 M2– 1               d) 2 M2+1

 Answer key

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