MATH CHAPTER: AVERAGE-1|SANKALPA COMPETITIVE STUDY|PHONE-9477052517

Type – I (Raw Data) 6. In a class the average marks of 30 girls is 58

while the average marks of 20 boys is 53. Find
1. Find the average of 20, 28 the combined average of whole class. (a) 56 (b)
(a) 24 (b) 22 (c) 21 (d) 26 54 (c) 58 (d) 55
2. Find the average of 34, 56 7. The ratio of the number of players in the three
(a) 45 (b) 40 (c) 38 (d) 52 teams A, B and C is 2 : 5 : 3. If the average
3. Find the average of 20, 28, 36 number of runs scored per player for each of
(a) 24 (b) 22 (c) 28 (d) 26 the three teams. A, B and C, is 30 : 17 : 25
4. Find the average of 40, 48, 50, 62 respectively then what is the average number
(a) 40 (b) 50 (c) 45 (d) 60 of runs scored per player across all three
5. Find the average of 138, 152, 111, 140 teams collectively?
(a) 135.25 (b) 125.35 (c) 140.5 (d)115.25 (a) 20 (b) 21 (c) 22 (d) 23
6. Find the average of 239, 199, 216 8. Average marks of class X, Y and Z is 83, 76,
(a) 215 (b) 218 (c) 235 (d) 205 85 respectively and number of students are
7. Find the average of 138, 152, 111, 140, 27, 36, 45. Find combined average marks of
161 all classes? (a) 81.5 (b) 82.5 (c) 83.5 (d) 84.5
(a) 130.25 (b) 125.75 (c) 140.4 (d)115.25 9. The average runs scored by a batsman in 7
8. Find the average of 53, 53, 58, 58, 58 matches is 49 and in other 9 matches the
(a) 55 (b) 57 (c) 54 (d) 56 average is 27. What is the average runs scored
9. At a courier shop the weights of 8 parcels by the batsman in these 16 matches?
were foundto be 1.5 kg, 1.25 kg, 1.35 kg, (a) 35.725 (b) 28.475
750 gm, 950 gm, 0.7 kg, 0.4 kg and 0.5 kg. (c) 40.25 (d) 36.625
Find their average weight. 10. In an examination of 7 papers of 100 marks
(a) 925 (b) 57 (c) 54 (d) 56 each, there were 3 mathematics papers, 2
10. According to Raghav, his weights is more than English papers and 2 Hindi papers. D gets
64 kg but less than 74 kg. His sister does not average marks of 45, 55 and 60 in
agree with Raghav and She thinks that his mathematics, English and Hindi, respectively.
weight is more than 60 kg but less than 69 kg. What are the average marks per paper?
His mother's view is that his weight can not be (a) 54.1 (b) 52.1
more than 68 kg. his father's view is that his (c) 56.5 (d) 55.6
weight can not be more than 67 kg his. If all of 11. The average age of a class of 6 girls is x years.
them are correct in their estimation, then Four new girls having ages x - 2, x + 4, x + 8
what is the average of different probable and x + 10 joins the class. What is the new
weight of Raghav measured (in kg) average age of the class?
(a) 67 (b) 66 (c) 65 (d) 68 (a) x - 2 (b) x + 2
(c) x + 5 (d) x + 1
Type – II(Group Data) 12. Average of the height of 286 students of a
1. If the average of three numbes is 137 and the school is 50 unit. If the average of the height
average of two numbers is 152 then find the of the boys is 53 unit and the average of the
average of all numbers. height of the girls is 31 unit, then what will be
(a) 143 (b) 135 (c) 155 (d) 125 the ratio of the total height of boys and the
2. Rita buys 5 sarees at an average cost of Rs. total height of girls respectively?
2250. If she buys three more at an average (a) 1004 : 91 (b) 530 : 31
cost of Rs. 2750, what will be the average (in (c) 1007 : 93 (d) 1111 : 62
Rs.) of all the sarees she buys? 13. During a school excursion each student of
(a) 2437.5 (b) 2500 junior school was charged Rs.325 and each
(c) 2450 (d) 2332.5 student of senior school was charged Rs.400.
3. Mahesh buys 3 Shirts at an average cost of If there were 80 students from junior school
Rs. 1250. If he buys two more at an average and the combined average amount charged
cost of Rs. 1450, what will be the average (in per student was Rs.352. then how many
Rs.) of all the five shirts she buys? students from senior school went for the
(a) 1370 (b) 1330 excursion ?
(c) 1310 (d) 1390 (a) 55 (b) 40 (c) 45 (d) 50
4. The average of class X of 42 students is 137, 14. The average of six numbers is 32. If each of
while the average of 28 students of class Y is first three numbers is increased by 2 and each
152. Find the combined average of all the of the remaining three numbers is decreased
class? by 4, then the new average is: (a) 35 (b) 34 (c)
(a) 143 (b) 151 (c) 145 (d) 140 31 (d) 30
5. In a class the average marks of 39 girls is 113
while the average marks of 26 boys is 89. Find Type – III (To find missing number when
the combined average of whole class. (a) 110.5 average is given)
(b) 105.8 (c) 103.4 (d) 107.8 1. If the average of four number is 50 and the
three numbers are 40, 48, 51 then find the

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fourth number. (b) 18 years 4 months

(a) 61 (b) 55 (c) 59 (d) 49 (c) 17 years 5 months
2. If the average of five number is 40 and the (d) 18 years 3 months
four numbers are 30, 49, 42, 37 then find the 14. The average age of 19 children is 23 years, if
fifth number. one more child is added, the average age
(a) 38 (b) 42 (c) 48 (d) 46 becomes 25. Then find the age of those
3. The average of 25, 46 and 'y' is 11. what is the children?
value of 'y' ? (a) 63 (b) 65 (c) 58 (d) 59
(a) - 38 (b) - 34 15. The average weight of 28 children is 83 kg, if
(c) - 36 (d) – 37 one more child is added, the average reduces
4. If the average of 14, 19, 12, 15, X is 15 then by 2. What is the age of the child?
what is the value of X? (a) 27 (b) 43 (c) 25 (d) 31
(a) 13 (b) 16 (c) 17 (d) 15 16. The average age of 18 children is 27 years. If
5. If the average of 7, 11, 15, X, 14, 21, 25 is 15 one child is gone, the average becomes 28
then what is the value of X? years. What was the age of the child who left?
(a) 13.3 (b) 10 (c) 14.5 (d) 12 (a) 13 (b) 15 (c) 18 (d) 10
6. What number should be added in a list of 17. The average of 12 numbers is 20. The average
numbers 20, 40, 70, 70, 80 to make the of first 5 numbers is 18 and that of last 6
average 60 ? numbers is 22. Find the 6th number. (a) 21 (b)
(a) 70 (b) 60 (c) 80 (d) 90 18 (c) 11 (d) 23
7. On 24th May, 2008 the maximum 18. The average of 24 numbers is 25. The average
temperature of Delhi, Kolkata and Mumbai of first 15 numbers is 20 and that of last 8
were recorded as 35°C, 33°C and 34°C number is 35. Find the 16th number. (a) 17
respectively. What was the maximum (b) 18 (c) 19 (d) 20
temperature of Chennai so that the average 19. In a class of 50 students there are 22 girls
maximum temperature of those cities would who scored an average of 35 marks in the test.
be 35°? What is the average marks of the boys if the
(a) 34° C (b) 35° C class average is 42 marks?
(c) 36° C (d) 38° C (a) 50 (b) 52.5 (c) 47.5 (d) 55
8. The mean weight of 34 students of a school is 20. In a class of 60 students there are 20 girls
42 kg. If the weight of the teacher be included, who scored an average of 40 marks in the test,
the mean rises by 400g. Find the weight of the what is the average marks of the boys if the
teacher. class average is 60 marks?
(a) 55 kg. (b) 56 kg. (a) 60 (b) 70 (c) 50 (d) 80
(c) 54 kg. (d) 52 kg. 21. The average weight of a class of 50 students is
9. Average age of 38 students is 14 year If the 48.6kg. If the average weight of the 20 boys is
age of teacher is included, the average 54 kg, then find the average weight (in kg) of
becomes 14 years and 4 months. Find the the girls in the class.
teacher's age. (a) 40 (b) 46 (c) 45 (d) 42
(a) 25 years (b) 26 years 22. The average of 7 data is 34 and the average of
(c) 27 years (d) 28 years first 3 data is 28 and the average of next two
10. The average weight of a class of 35 students is data is 47.Find the average of last 2 data.
47(1/2) kg. If the weight of the teacher is (a) 30 (b) 105 (c) 16 (d) 25
included, the average rise by 1/2 kg. Find the 23. The average age of 7 members of a family is 40
weight of the teacher. years. In the family, there are three men, three
(a) 58(1/3) kg. (b) 62(1/2) kg. women and one boy. If the average age of three
(c) 56(1/2) kg. (d) 65(1/2) kg. men is 48 years and average age of three
11. The average age of 6 workers in a company is women is 44 years, then the age of the boy is:
37 years If a new worker is hired, the average (a) 6 yrs (b) 2 yrs (c) 4 yrs (d) 8 yrs
age is decreased by 2 years. Find the age of 24. The average weight of the first thirteen
new worker. persons among fourteen persons is 78 kg. The
(a) 25 years (b) 23 years weight of the 14th person is 39 kg more than
(c) 28 years (d) 24 years the average weight of all the fourteen persons.
12. The average age of 20 girls in a class is 12 Find the weight of the 14th person.
years. When a girl is transferred to another (a) 118 kg (b) 98 kg
class, the average age is decreased by 0.2 (c) 110 kg (d) 120 kg
year. Find the age of transferred girl. 25. The average weight of 11 persons out of 12 is
(a) 15.8 years (b) 14.7 years 95 kg. The wight of 12th person is 33 kg more
(c) 16.4 years (d) 13.8 years than the average weight of all 12 persons. Find
13. The average age of 10 children is 9 years 9 the weight of 12th persons.
months. The average of 9 children is 8 years (a) 131 kg (b) 130 kg
11 months. What is the age of the tenth child? (c) 132 kg (d) 134 kg
(a) 17 years 3 months

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26. In a particular week the average number of (a) 176 cm (b) 166 cm
people who visited the Taj Mahal is 40. If we (c) 180 cm (d) 186 cm
exclude the holidays then the average is 5. The Average weight A, B, C and D is 40 kg. A
increased by 16. Further if we exclude also the new person E is also included in the group,
day on which the max. number of 112 people then the average weight of the group is
visited the Taj Mahal then average becomes increased by 1 kg. Again a new person F
42. The number of holidays in the week is: replaces A, then the new average of 5 persons
(a) 1 day (b) 3 days becomes 42. Find the average weight of B, C,
(c) 2 days (d) 4 days D, F.
27. The average weight of some students in a class (a) 42.25 (b) 41.25
is 43 kg. When 4 new students are included (c) 38.75 (d) 42.75
the average weight becomes 42.5 kg and the Type – V(Ratio or Relationship)
weight of those 4 students are 42, 36.5, 39
and 42.5 kg. Find the total number of 1. Among three numbers, the first is twice the
students in the class. second and thrice the third. If the average of
(a) 20 (b) 30 (c) 10 (d) 40 the three numbers is 49.5, then the difference
28. 19 people went to a hotel for a combined between the first and the third number is:
dinner party. 15 of them spend Rs. 74 each on (a) 54 (b) 28 (c) 39.5 (d) 41.5
their dinner and the rest spend Rs. 22.5 more 2. Of the 3 number whose average is 22, the first
than the average expenditure of all the 19. is 3/8th the sum of other 2. What is the first
What was the money spend by all person? number?
(a) 1720 (b) 1350 (a) 16 (b) 20 (c) 22 (d) 18
(c) 1450 (d) 1520 3. There are 5 numbers, where first number is
29. 9 Girls and 1 Boy go to a restaurant for lunch. double of second number and two third of
If each girl spend Rs. 30 and boy spend Rs. third number. The average of 5 Numbers is
72000 more than the average of expenditure of 60. If the sum of remaining two numbers is
all. Find the amount spend by boy. 120, then find the value of the 3rd number.
(a) 13520 (b) 80030 (a) 120 (b) 90 (c) 80 (d) 60
(c) 16020 (d) 25020
30. Out of nine persons, 8 persons Rs. 30 each for Type – VI(One number is common in Group)
their meals. The ninth one spend Rs. 20 more
than the average expenditure of all the nine. 1. The average weight of P, Q and R is 71 kg. If
The total money spend by all of them was: the average weight of P and Q be 66 kg and
(a) Rs. 260 (b) Rs. 290 that of Q and R be 76.5 kg, then the weight (in
(c) Rs. 292.50 (d) Rs.400.50 kg) of Q is?
(a) 60 (b) 72 (c) 81 (d) 75
Type – IV(Relation between missing 2. The average weight of L, M and N is 93 kg. If
number) the average weight of L and M be 89 kg and
1. The average of 9 observations is 87. If the that of M and N be 96.5 kg, then the weight (in
average of first five observations is 79 and the kg) of M is____.
average of next three is 92. Find the 9th (a) 92 (b) 86 (c) 101 (d) 95
observation. 3. The average weight of X, Y and Z is 74 kg. If
(a) 13 (b) 115 (c) 16 (d) 112 the average weight of X and Y be 68 kg and
2. The average of twelve numbers is 39. The that of Y and Z be 78 kg, then the weight (in
average of the last five numbers is 35, and kg) of Y is.
that of the first four numbers is 40. The fifth (a) 72 (b) 70 (c) 68 (d) 66
number is 6 less than the sixth number and 5 4. The average of 40 numbers is 35. The average
more than the seventh number. The average of of first 25 numbers is 30 and the average of
the sixth and seventh numbers is: last 16 numbers is 42. Find the 25th number.
(a) 47.5 (b) 44.5 (c) 39 (d) 50 (a) 26 (b) 24 (c) 22 (d) 18
3. The average of 9 data is 79. The average of 5. The average of 50 numbers is 45. The average
first two data is 75. If the average of next four of first 20 numbers is 50 and the average of
data is 87. If the 8th data is 5 more than 7th last 31 numbers is 42. Find the 20th number.
data and 1 more than 9th data calculate 9th (a) 52 (b) 60 (c) 50 (d) 48
observation. 6. The average marks of 13 students in a subject
(a) 80 (b) 105 (c) 72 (d) 75 is 66. If the average of the first seven students
4. The average height of 40 students is 163 cm. is 67 and that of the last seven students is 69,
On a particular day, three students A, B, C then the marks of the seventh students is:
were absent and the average of remaining 37 (a) 99 (b) 91 (c) 97 (d) 94
students was found to be 162 cm. If A and B 7. Average of 17 number is 73. Average of first 9
have equal heights and the height of C be 2 number is 74. Average of last 9 number is 71.
cm less than that of A, find the height of A. Find 9th number.
(a) 64 (b) 65 (c) 66 (d) 67

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8. In an exam, the average marks obtained by [C] 24 years [D] 18 years

John in English, Math, Hindi and Drawing
were 50. His average mark in Maths, Science, Type – IX(When same change occurs in
Social Studies and Craft were 70. If the averge each data)
mark in all seven subjects is 58, his score in
Maths was. 1. Five years ago the average of Husband and
(a) 50 (b) 52 (c) 60 (d) 74 wife was 23 years, Today the average age of
9. The average revenues of 7 consecutive years is Husband, wife and child is 20 years, how old
Rs. 83 lakhs. The average of first 4 years is Rs. is the child.
78 lakhs and that of last 4 years is Rs. 90 (a) 13 years (b) 4 years
lakhs, find the revenue for the 4th year. (c) 2 years (d) 1 year
(a) Rs. 91 lakhs (b) Rs. 93 lakhs 2. 3 years ago the average of family of five
(c) Rs. 89 lakhs (d) Rs. 87 lakhs members was 17 years. A baby having been
born the average age of the family is the same
Type – VII( Basic Calculation/ today. Find the age of child.
miscellaneous) (a) 13 years (b) 4 years
1. Out of four numbers the average of the first (c) 2 years (d) 1 year
three is 16 and that of the last three is 15. If 3. The average of age of mother, father and son
the last number is 20 then the first number is: was 42 years at the time of marrige of the son.
[A] 25 [B] 21 [C] 23 [D] 28 After 1 year an infant was born and after 6
2. The average of temp. of Monday, Tuesday, years of marriage the average age of the family
Wednesday and Thursday is 31ºc and the becomes 36 years. Find the age of the bride at
average temp of Tuesday, Wednesday, the time of the marriage.
Thursday and Friday is 29.5ºc. If the average (a) 13 years (b) 20 years
of temp. of Monday was 37 % more than the (c) 25 years (d) 22 year
4. The average age of a husband and wife was 28
average temp. of Friday. Find the temp. of
years when they were married 5 years ago.
Monday
The average age of the husband, the wife and
[A] 36° C [B] 22° C [C] 24° C [D] 23° C
a child who was born during the interval, is 23
3. The average temp. from Monday to Wednesday
years now. How old is the child now?
is 37ºc while the average temp. from Tuesday
(a) 4 years (b) 5 years
to Thursday is 34ºc. The temp. of Thursday is
(c) 6 years (d) 3 years
4/5 times to that of Monday. Find the temp of
5. The average age of husband, and wife is 27
Thursday.
years, when a child is born then the average
[A] 36° C [B] 22° C [C] 45° C [D] 23° C
age of family is 21 years. Then find the age of
4. The average weight of A, B and C is 84 kg. If D
child
joins the average weight becomes 80 kg. If
(a) 4 years (b) 3 years
another person E who who is 3 kg heavier
(c) 6 years (d) 7 years
than D replaces A than the average weight of
6. The average age of husband, wife and their
B, C, D and E becomes 79 kg. Find the weight
child 3 years ago was 27 years and that of wife
of A.
and the child 5 years ago was 20 years. The
[A] 13 kg [B] 4 kg [C] 75 kg [D] 1 kg
present age of the husband is :
5. Ther average weight of 4 men A, B, C and D is
(a) 50 years (b) 40 years
67 kg. Another man E joins the group and the
(c) 35 years (d) N.O.T
average now become 65 kg. If another man F,
7. 5 Years ago the average age of a family which
whose weight is 5 kg more than that of E,
includes father, mother and a son was 35
replaces A, then average weight of B, C, D, E
years. 3 years ago the average age of father
and F becomes 63 kg. The weight of A is.
and mother was 46 years, what is the present
[A] 70 kg [B] 72 kg [C] 75 kg [D] 71 kg
age (in years) of the son?
(a) 20 (b) 24 (c) 26 (d) 22
Type - VIII
1. The average monthly income of A and B is Rs.
Type – X( when a person is replaced)
15,050, the average monthly income of B and
1. The average weight of a group of 5 persons is
C is Rs. 15,350 and the average income of A
45 kg. If a person weighing 140 kg leaves the
and C is Rs. 15,200. The monthly income of A
group and a person weighing 160 kg joins the
is:
group in his place, then what will be the
[A] Rs. 15,200 [B] Rs. 14,900
average weight of the group?
[C] Rs. 15,500 [D] Rs .15,900
[A] 47 [B] 49 [C] 43 [D] 41
2. The average age of A and B is 20 years. If C
2. The average age of a class of 12 students is 20
were to replace A, the average would be 19
years. A, 24 year old student left the class and
and if C were to replace B the average would
in his place a new 18 year old student came to
be 21. What are the ages of A.
the class. What is the average age of the class
[A] 22 years [B] 20 years

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now? [A] 20 years [B] 15 years

[A] 20.5 [B] 19.5 [C] 18.5 [D] 21.5 [C] 10 years [D] 8 years
3. The average age of 8 teachers in a school is 40 12. Average age of 20 student is 21 years. 2
years. A teacher whose age is 55 years dies students leave the group and 1 new student
and was replaced by another teacher whose joins the group. The average now becomes 20
age is 39 year. Now, the average age of the years. If age of one of the student who left the
teachers in the school will be. group is 26 years and the one who joined is 20
[A] 35 years [B] 36 years years, then what is the age (in years) of other
[C] 38 years [D] 39 years student who left the group?
4. A class has 20 student, if a student whose (a) 20 years (b) 34 years
weight is 160 kg is replaced by a new one, to (c) 22 years (d) 16 years
his the average weight is of whole class
decreased by 6 kg. Find the weight of new Type – XI(Data is misread)
student. 1. The average marks of 50 students in an
(a) 10 (b) 20 (c) 40 (d) 45 examination was 65. It was later found that
5. Average age of 8 men is increased by 3 years the marks of one student had been wrongly
when two of them whose age are 30 and 34 entered as 83 instead of 38. The correct
years are replaced by 2 persons. What is the average is?
average age of the 2 persons? (a) 63.9 (b) 64.5 (c) 64.7 (d) 64.1
(a) 24 years (b) 32 years 2. The average marks of 18 students in an
(c) 44 years (d) 48 years examination was 60. It was later found that
6. The average age of 11 players of a cricket team the marks of one student had been wrongly
decreases by 2 months when two new players entered as 63 instead of 36. The correct
are included in the team replacing two players average is:
of age 17 years and 20 years. The average age (a) 59 (b) 59.5 (c) 58 (d) 58.5
of new players is: 3. In an examination, the average of 40 students
(a) 17 yrs 1 month (b) 17 yrs 7 months is 72. Afterwards, it is found that the marks of
(c) 17 yrs 11 months [d]18 yrs 3 months 3 students are misread as 68, 65 and 73
7. The average age of a cricket team of 11 players instead of 64, 62 and 84 respectively. Find the
is the same as it was 3 years back because 3 correct average.
of the players whose current average age of 33 (a) 75.2 (b) 36.8 (c) 72.1 (d) 57.2
years are replaced by 3 youngers. The average 4. The average of 100 numbers is 46 but it was
age of the new comers is: found at 2 numbers 16 and 43 are mistakenly
(a) 23 years (b) 21 years calculate as 61 and 34. Find his correct
(c) 22 years (d) 20 years average it was also found that total numbers
8. A group of boys has an average weight of 36 are only 90.
kg. One boy weight 42 kg leaves the group and (a) 42.8 (b) 50.7 (c) 51.7 (d) 40.5
another boy weight 30 kg join the group. If the 5. In an examination the avarega marks of 50
average now become 35.7 kg, then how many students is 83.41. Afterwards it is found that
boys are there in the group? the marks of two students are misread as 37
[A] 30 [B] 32 [C] 40 [D] 56 and 48 instead of 73 and 84 resp. Find the
9. After replacing an old member by a new correct average?
member, it was found that the average age of (a) 85.84 (b) 84.85 (c) 85.88 (d) 88.54
five members of a club is the same as it was 3 6. The average of 16 numbers is 35. It was found
years ago. The difference between the ages of later that four numbers 18, 17, 24 and 35
the replaced and the new members is. were taken by mistake. What is the new
[A] 2 years [B] 4 years average after removing these number?
[C] 8 years [D] 15 years (a) 38.83 (b) 42.33 (c) 46.66 (d) 33.33
10. 10 years ago, a family had 8 members and the Type – XII (Batting Average)
average of their ages then was 33 years. Four 1. A batsman scores 87 runs in his 17th innings
years later, a member died at age of 64 years due to this his average increased by 3 runs.
and a boy was born, After three more years, Find his current average.
another member died, at the age of 72 years [A] 36 [B] 40 [C] 50 [D] 60
and a girl was born. Find the present average 2. A batsman has certain average in his 11
age of this family (in years). innings. He scores 90 runs in 12th innings
[A] 25 [B] 26 [C] 27 [D] 28 due to this his average decreased by 5 runs.
11. The average age of 30 boys in a class is 15 Find his current average.
years. One boy, aged 20 years, left the class, [A] 120 [B] 145 [C] 150 [D] 140
but two new boys came in his place whose age 3. A batsman scores 87 runs in the 21st match
differ by 5 years. If the average age of all boys of his career. His average runs per match
now in the class becomes 15 years, the age of increases by 2. What was his average before
the younger newcomer is: the 21st match?
[A] 45 [B] 46 [C] 44 [D] 43

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4. A batsman makes 100 runs in the 25th match the total expense?
of his career. His average rune per match [A] 450 [B] 650 [C] 420 [D] 600
increases by 1.4. Find his average before the 15. There are 320 students in a hostel. If 10
25th match. students leave the hostel, then the per day
[A] 65 [B] 55 [C] 75 [D] 45 mess cost is reduced by Rs. 58. But the
5. A batsman scores 98 runs in the 17th match expenditure of mess increases by 20p per
of his career. His average runs per match student/day what was the initial expenditure?
increased by 2.5. What is his average before [A] 3500 [B] 3840
the 17th match? [C] 3200 [D] 3750
[A] 58 [B] 60.5 [C] 63 [D] 55.5
6. The mean weight of 34 students of a school is Type – XIII (Bowlling Average)
42 kg. If the weight of the teacher be included,
the mean rises by 400g. Find the weight of the 1. The bowling average of a bowler in certain
teacher. matches is 12.4 runs per wicket. If he takes 5
[A] 55 kg. [B] 56 kg. wickets for 26 runs in his next innings then
[C] 54 kg. [D] 52 kg. his bowling average becomes 12 runs per
7. Average age of 38 students is 14 year If the wicket. Find the wickets taken by him til the
age of teacher is included, the average last inning.
becomes 14 years and 4 months. Find the [A] 90 [B] 85 C] 80 [D] 95
teacher's age. 2. If the bowling average of bowle is 13.7 run per
[A] 25 years [B] 26 years wicket. He takes 10 wickets in his next
[C] 27years [D] 28 years innings by given 52 runs due to this his
8. The average weight of a class of 35 students is bowling average is improved by 1.7 run per
47(1/2) kg. If the weight of the teacher is wicket. Find the total number of wickets taken
included, the average rise by 1/2 kg. Find the by him at present.
weight of the teacher. [A] 50 [B] 30 [C] 40 [D] 60
[A] 58(1/2) kg. [B] 62(1/2) kg. 3. The bowling average of a bowler is 16.2 runs
[C] 56(1/2) kg. [D] 65(1/2) kg. pare wicket. He took 5 wickests in his next
9. The average age of 6 workers in a company is innings by giving 23 runs and due to this his
37 years If a new worker is hired, the average bowling average improved by 0.4 run per
age is decreased by 2 years. Find the age of wicket. Find the total number of wicket taken
new worker. by till date.
[A] 25 years [B] 23 years [A] 150 [B] 145 [C] 140 [D]155
[C] 28 years [D] 24 years 4. A cricketer whose bowling average is 24.85,
10. The average age of 19 children is 23 years, if runs per wicket, takes 5 wickets for 52 runs
one more child is added, the average age and thereby decreases his average by 0.85.
becomes 25. Then find the age of those The number of wickets taken by him till the
children? last match was:
[A] 63 [B] 65 [C] 58 [D] 59 [A] 85 [B] 72 [C] 80 [D]96
11. The average weight of 28 children is 83 kg, if
one more child is added, the average reduces Type – XIV (Highest & Lowest Score)
by 2. What is the age of the child? 1. A batsman has an average of 30 runs in his 42
[A] 27 [B] 43 [C] 25 [D] 31 innings. The difference between his max. and
12. There are 35 students in a hostel. If the min. score is 100. If these 2 innings are
number of students increased by 7. The removed his average for 40 innings comes
expense of mess increased by Rs. 42 per day. down to 28. What is his max. score ?
While the average expendiure per head per day [A] 120 [B] 130 [C] 220 [D] 140
decreased by Rs. 1. Find the original 2. The batting average of a batsman in his 40
expenditure of the mess. innings is 50 runs, if the difference between
[A] Rs. 420 [B] Rs. 630 his highest and lowest score is 172, if these
[C] Rs. 830 [D] Rs. 730 both innings are excluded then his average
13. There were 42 students in a Hostel. Due to become 48. Calculate the highest score?
admission of 13 new students expense of mess [A] 174 [B] 172 [C] 220 [D] 140
is increased by Rs. 30 per day while per day 3. The batting average for 40 innings of a cricket
expenditure per student is reduced by Rs. 3 player is 40 runs. His highest score exceed his
what was the original expenditure of mess per lowest by 56. If these two innings are
day. excluded, the average of remaining 38 innings
[A] Rs. 420 [B] Rs. 630 is 38 runs. The highest score of the player is
[C] Rs. 830 [D] Rs. 730 (in runs):
14. There are 60 students in a hostel, if the [A] 106 [B] 50 [C] 104 [D] 52
number of students increases by 20, then the
per day expenditure increases by Rs. 120. And ---***---
Rs. 1 per person /day gets reduced. So tell me

STUDY MATERIAL FOR ALL GOVERNMENT JOB EXAMINATION (SSC, PSC,WBP & RAILWAY) Page 6