AVERAGE
1.
The
body weight of six men is recorded as 67 kg, 89 kg, 98 kg, 83 kg, 52 kg and 79
kg. What is the average body weight of all the six men?
(A)86 kg
(B)72 kg (C)82
kg (D)78 kg (E) None of these
2.
The
average age of 40 boys is 15 years and that of 20 girls is 18 years. What is
the average age of all the boys and girls together?
(A) 16 years (B)17 years (C) 17.5 years (D)16.5 years (E) None of these
3.
The
average of 5 numbers is 57.8. The average of the first and the second number is
77.5 and the average of the fourth and fifth number is 46. What is the third
number?
(A) 45
(B)43 (C)
42 (D)40 (E)
None of these
4.
The
average of 11 numbers is 10.9. If the average of the first six numbers is 10.5
and the average of last six numbers is 11.4, then find the middle number.
(A) 12.5 (B)11.5
(C) 10.5 (D)13.5 (E) None of these
5.
The
average of 50 numbers is 30. If two numbers 35 and 40 are discarded, then
average of the remaining number is nearly
(A) 29.27 (B)28.32 (C)
29.68 (D)28.78 (E) None
of these
6.
The
average of marks of 28 students in Mathematics was 50. Eight students left the
school and then this average was increased by 5. What is the average of marks
obtained by the student who left the school?
(A) 37.5 (B)42.5 (C) 45 (D)50. (E) None of these
7.
The
average of first three numbers out of four is 16 and average of the last three
numbers is 15. If the last number is 18, then what is the first number?
(A) 20 (B)21 (C) 23 (D)25 (E) None of these
8.
The
average weight of 3 men A, B and C is 84 kg. When D joins the group, the
average becomes 80 kg. A man E whose weight is 3 kg more than that of D
replaces A and the average weight of B, C, D and E now becomes 79 kg. A’s
weight is:
(A) 70 kg (B)72 kg (C) 75 kg (D)80 kg (E) None of these
9.
A
library has an average of 510 visitors on Sundays and 240 on other days. The
average number of visitors per day in a month of 30 days beginning with a
Sunday is :
(A) 250 (B)276 (C) 280
(D)285 (E) None of these
10. 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 (E) None of these
11. The average age of 35 student of a
class is 15 years. If teacher’s age is included, then average age is increased
by 1 year. Find the age of the teacher.
(A) 51 years (B)45 years (C) 62 years (D)55 years (E) None of these
12. The average age of 14 girls and their
teacher is 15 years. If the teacher’s age is excluded, then average reduces by
1. What is the teacher’s age?
(A) 35 yrs.
(B)32 yrs.
(C) 30 yrs. (D)29 yrs.
(E) None of these
13. The average weight of 8 men is
increased by 1.5 kg when one of the men who weighs 65 kg is replaced by a new
man. The weight of the new man is :
(A) 70 kg (B)74 kg (C) 76 kg (D)77 kg (E)
None of these
14. The average of marks in Mathematics
for 5 students was found to be 50. Later. it was discovered that in the case of
one student the marks 48 were misread as 84. The correct average is :
(A) 40.2 (B)40.8 (C) 42.8 (D)48.2 (E) None of
these
15. The average marks of a student in
eight subjects are 87. After revaluation in two subjects the marks were changed
to 138 from 98 and 132 from 108. In remaining subjects the marks remained
unchanged. What are the new average marks?
(A) 97
(B)92 (C) 98 (D)95 (E) None of these
16. The average of four consecutive even
number P,Q, R and S respectively is 55. What is the product of Q and S ?
(A) 3123 (B)3135 (C) 3132 (D)3125 (E) None of
these
17. The average of 5 consecutive odd
numbers is 63. What is the sum of the largest number and the square of the
smallest number?
(A) 3845 (B)3548 (C) 3458 (D)3584 (E) None of these
18. The average of three consecutive odd
numbers is 12 more than one third of the first of these numbers. What is the
last of the three numbers?
(A) 15 (B)17 (C)
1 (D)2 (E) None of these
19. In a class, there are 40 boys and
their average age is 16 years. One boy, aged 17 years, is leaving the class and
another joining then average age becomes 15.875 years. The age of the new boy
is :
(A) 12 years (B)14.5 years (C) 15 years (D)17 years (E) None of these
20. The average age of 30 boys in a class
is 15 years. One boy aged 20 years left class, but two new boys came in his
place whose ages differed by 5 years. If the average age of all the boys is now
15 years, what will be the age of the younger newcomer?
(A) 20 years (B)15 years (C) 10 years (D)8 years (E) None of these
21. The age of the captain of a cricket
team of 11 players is 25 years and the wicketkeeper is 3 years older that the
captain. If the ages of these two are excluded, the average age of the
remaining players of the ream becomes 1 year less than the average age of the
whole team. What is the average age of the whole team?
(A) 12 years (B)18 years (C) 20 years (D)22 years
(E) None of these
22. The average run of 6 players in a
cricket match is x. Seventh player made 112 runs and so their average run
increased by 10 runs. Find the value of x.
(A) 42 (B)35 (C) 30 (D)40 (E) None of these
23. A cricketer has a certain average of
score for 10 innings. In the 11th inning, he scores 60 and thereby
his average increases by 3 runs. What is his new average?
(A) 30 (B)27 (C) 20 (D)18
(E) None of these
24. A cricketer, who’s bowling average is
24.85 runs per wicket, took 5 wickets for 52 runs and there by decreases his
average by0.85. The number of wickets taken by him till the last match was :
(A) 64 (B)72 (C)
80 (D)96 (E) None of these
25. 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 paper were there in the examination?
(A) 8 (B)9 (C) 10 (D)11 (E)
None of these
26. 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 the rest is Rs. 6000. The total number of workers in the
workshop is :
(A) 20 (B)21
(C) 22 (D)23 (E) None of these
27. In a family of 8 adults and a few
minors, the average monthly consumption per head is 10.8 kg. If the average
consumption per head be 15 kg in the case of adults and 6 kg in the case of
minors, then find the number of minors in the family.
(A) 5 (B)11 (C) 9 (D)7 (E)
None of these
28. In a class of 52 student the number of
boys is two less than the number of girls. Average weight of the boys is 42 kg,
while the average weight of all the 52 student is 40 kg. Approximately what is
the average weight of the girls?
(A) 41 kg (B)40
kg (C) 39 kg (D)38 kg (E) None of these
29. In an examination, a student gets 4
marks for every correct answer and loses 1 mark for every wrong answer. A
student attempts all the 100 questions and score 210 marks. The number of
questions he answered correctly is :
(A) 70 (B)68 (C) 64 (D)62 (E) None of these
30. The sum of the ages of a father and
his son is 45 years. Five years ago the product of their ages was 34. What are
the ages of son and father respectively?
(A) 6 years, 39 years (B)9 years, 36 year (C) 7 years, 38 years
(D)11 years, 34 years (E) None of these
31. The average age of a man and his wife
was 23 years, when they were married 5 years ago. The average age of the man,
his wife and a child who was born during the interval, is 20 years now. How old
is the child now?
(A) less than 1 year (B)1 year (C) 3 years (D)4 years (E) None of these
32. Find the average of first 40 natural
numbers.
(A)20 (B)20.5
(C)30 (D)10.5 (E) None of these
33. Find the average of first 20
multiplies of 7.
(A)75 (B)73.5
(C)74
(D)73 (E) None
of these
34. A batsman makes a score of 87 runs in
the 17th inning and thus increases his average by 3. Find his
average after 17th inning.
(A)38 (B)40
(C)39 (D)43
(E) None of these
35. The average of 20 numbers is zero. Of
them at the most, how many may be greater than zero ?
(A)0 (B)1 (C)10 (D)19 (E) None of these
36. Find the average of all the numbers
between 6 and 34 which are divisible by 5.
(A)18 (B)20
(C)24
(D)30
(E) None of
these
37. The mean of 12, 22,
32,42 , 52, 62, 72 is :
(A)10 (B)20
(C)30 (D)40 (E)None of these
38. The average of non-zero number and its
square is 5 times the number. The number is :
(A)9 (B)17 (C)29
(D)295 (E)None of these
39. The sum of three consecutive odd
numbers is 38 more than the average of these numbers. What is the first of
these numbers ?
(A)13 (B)17 (C)19 (D)Data
inadequate (E)None of these
40. A family consists of grandparents,
parents and three grandchildren. The average age of the grandparents is 67
years, that of the parents is 35 years and that of the grandchildren is 6
years. What is the average age of the family ?
(A)28
years (B)31 years (C)32 years (D)Data inadequate (E)None of these
years (B)31 years (C)32 years (D)Data inadequate (E)None of these
41. Out of 9 persons, 8 persons spent Rs.
30 each for their meals. The ninth one spent Rs. More than the average
expenditure of all the nine. The total money spent by all of them was :
(A)Rs.
260 (B)Rs. 290 (C)Rs. 292.50 (D)Rs. 400.50 (E)None of these
42. The batting average for 40 innings of
a cricket player is 50 runs. His highest score exceeds his lowest score by 172
runs. If these two innings are excluded, the average of the remaining 38
innings is 48 runs. The highest score of the player is
(A)165
runs (B)170 runs (C)172 runs (D)174 runs (E)None of these
43. The average price of 10 books is Rs.
12 while the average price of 8 of these books is Rs. 11.75. Of the remaining
two books, if the price of one book is 60% more than the price of the other,
what is the price of each of these two books
(A)Rs. 5,
Rs. 7.50 (B)Rs.
8, Rs. 12 (C)Rs. 10, Rs. 16 (D)Rs. 12, Rs. 14 (E)None of these
44. Of the four numbers, whose average is
60, the first is one-fourth of the sum of the last three. The first number is :
(A)15 (B)45 (C)48 (D)48 (E)None of these
45. Of the three numbers, the average of
the first and the second is greater than the average of the second and the
third by 15. What is the difference between the first and the third of the
three numbers ?
(A)15 (B)45 (C)60
(D)Data inadequate (E)None of these
46. The average of 8 numbers is 20. The
average of first two numbers is 15
and that of the next three
21
. If the sixth number be less than the seventh and eighth numbers
by 4 and 7 respectively, then the eighth number is :
and that of the next three
21. 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 (E)None of these
47. The average monthly income of P and Q
is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average
monthly income of P and R is Rs. 5200. The monthly income of P is :
(A)Rs.
3500 (B)Rs. 4000 (C)Rs. 4050 (D)Rs. 5000 (E)None of these
48. A team of 8 persons joins in a
shooting competition. The best marksman scored 85 points. If he had scored 92
points, the average score for the team would have been 84. The number of
points, the team scored was :
(A)588 (B)645
(C)665 (D)672 (E)None of these
49. 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 :
(A)45 (B)50 (C)51.4(approx) (D)54.6(approx) (E)None of these
50. A man purchase milk for three
consecutive years. In the first year, he purchases milk at the rate of Rs. 7.50
per litre, in the second year, at the rate of Rs.8.00 per litre and in the
third year, at Rs. 8.50 per litre. If he purchases milk worth Rs. 4080 each
year, the average price of milk per litre for the three years is
(A)Rs.
7.68 (B)Rs. 7.98 (C)Rs. 7.54 (D)Rs. 7.83 (E)None of these
51. Ram aims to score an average of 80
marks in quarterly and half yearly exams. But his average in quarterly is 3
marks less than his target and that in half yearly is 2 marks more than his
aim. The difference between the total marks scored in both the exams is 25.
Total marks aimed by Ram is
(A)400 (B)410 (C)420 (D)380
(E)None of these
52. While purchasing one item costing Rs.
400, one has to pay sales tax at 7% and on another costing Rs. 6400, the sales
tax one has to pay, taking these items together on an average is
(A)8
(B)8
(C)8 (D)8
(E)None of these
(B)8 (C)8 (D)8
(E)None of these
53. 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 (E)None of these
54. A man’s pension on retirement from
service is equal to half the average salary during last 3 years of his service.
His salary from 1-1-1983 is Rs. 380 per month with increment of Rs. 40 due on
1-10-83, 1-10-84 and 1-10-85, If he retires on 1-1-86, what pension does he
draw per month ?
(A)Rs.
205 (B)Rs.
215 (C)Rs. 225 (D)Rs. 230 (E)None of these
55. Three science classes A, B and C take
a life science test. The average score of class A is 83. The average score of B
is 76. The average score of class C is 85. The average score of class A and B
is 79 and average score of class B and C is 81. Then the average score of
classes A, B and C
(A)81.5 (B)81 (C)80.5 (D)80 (E)None of these
56. The average marks of 50 students in a
class is 72. The average marks of boys and girls in that subject are 70 and 75
respectively. The number of boys in the class is
(A)20 (B)35 (C)25 (D)30
(E)None of these
57. A librarian purchased 50 story books
for his library. But he saw that he could get 14 more books by spending Rs. 76
more and the average price per book would be reduced by Re. 1. The average
price (in Rs) of each book he bought was
(A)15 (B)10 (C)25 (D)20 (E)None of these
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