Question No : 1
The average marks of 14 students was calculated as 71. But if was later found that the marks of two students has been wrongly entered as 42 instead of 56 and another as 74 instead of 32. The correct average is:
(1) 67
(2) 68
(3) 69
(4) 71
(5) None of these
Question No : 2
26 children are to be divided into two groups A and B in 15 and 11 children. The average marks obtained by the children of Group A is 76 and the average marks of all the 26 children is 78. What is the average marks of children of Group B?
Question No : 3
Average marks obtained in History by 45 students in ‘A’ division are 75 and the average marks obtained by 40 students in ‘B’ division are 78. What are the overall average marks obtained in History by the students in both the divisions (rounded off to two digits after decimal)?
(1) 76.81
(2) 77.11
(3) 77.41
(4) 76.41
(5) None of these
Question No : 4
In a class, there are 32 boys and 28 girls. The average age of the boys in the class is 14 years and the average age of the girls in the class is 13 years. What is the average age of the whole class? (rounded off to two digits after decimal)
(1) 13.50
(2) 12.51
(3) 13.53
(4) 13.42
(5) None of these
Question No : 5
The average marks of 65 students in a class was calculated as 150. It was later realized that the marks of one of the students was calculated as 142, whereas his actual marks were 152. What is the actual average marks of the group of 65 students? (rounded off to two digits after decimal)
(1) 151.25
(2) 150.15
(3) 151.10
(4) 150.19
(5) None of these
Question No : 6
The average weight of 60 students in a class was calculated as 40 kg. Later it was found that the weight of one of the students was calculated as 36 kg., whereas his actual weight was 33 kg. What is the actual average weight of he students in the class?
(1) 39.90 kg.
(2) 38 kg.
(3) 39 kg.
(4) 39.95 kg.
(5) None of these
Question No : 7
In a class, the average weight of 60 boys is 64 kg and that of 75 girls is 70 kg. After a few days, 60% of the girls and 30% of the boys leave. What would be the new average weight of the class (in kg)? Assume that the average weight of the boys and the girls remains constant throughout.
(1) 63
(2) 66.5
(3) 68.5
(4) 65.5
(5) 57.5
Question No : 8
A cricketer whose bowling average is 24.85 runs per wicket, takes 5 wickets for 52 runs in next inning and thereby decreases his average by 0.85. The number of wickets taken by him till the last match was:
(1) 75
(2) 85
(3) 80
(4) 96
(5) None of these
Question No : 9
The average marks in Maths subject of a class of 24 students is 56. If the marks of three students were misread as 44, 45 and 67 of the actual marks 48, 59 and 61 respectively, then what would be the correct average?
(1) 55.5
(2) 56.5
(3) 50.5
(4) 53.5
(5) None of these
Question No : 10
The average marks of 40 students in an English exam is 72. Later it is found that three marks 64, 62 and 84 were wrongly entered as 68, 65 and 73. The average after mistakes were rectified is
(1) 70
(2) 72
(3) 71.9
(4) 72.1
(5) None of these
Question No : 11
The average age of a husband, his wife and son 3 years ago was 29 years and that of his wife and son 5 years ago was 21 years. What is husband’s present age? (in years)
(1) 54
(2) 48
(3) 38
(4) 44
(5) 47
Question No : 12
Five years ago, the average age of Rajan, Rakesh and Mukesh was 27 years and that of Rakesh and Mukesh three years ago was 20 years. Rajan’s present age is
(1) 46 years
(2) 50 years
(3) 60 years
(4) 56 years
(5) None of these
Question No : 13
There are 40 children in a class in which boys are 4 more than the girls. The average weight of all the students is 42.5 kg and the average weight of all the girls is 48 kg. Then find the average weight of all the boys.
(1) 39.5 kg
(2) 38 kg
(3) 40.5 kg
(4) 36.75 kg
(5) 40.25 kg
Question No : 14
The arithmetic means 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.
(1) 45
(2) 50
(3) 51.4
(4) 54.6
(5) None of these
Question No : 15
The average age of 6 members is 22 years. If the age of the youngest member be 7 years, the average age of the family at the birth of the youngest member was:
(1) 15 years
(2) 17 years
(3) 17.5 years
(4) 18 years
(5) None of these
Question No : 16
The average age of a family of 8 members is 23 years. If the age of the youngest member be 7 years, then what was the average age of the family member at the birth of the youngest member?
(1) 16 years
(2) 18.28 years
(3) 18.5 years
(4) 23 years
(5) None of these
Question No : 17
Three years ago, the average age of a family of 6 members was 19 years. A baby having been born, the average age of the family is same today. The present age of the baby is:
(1) 3 years
(2) 2 years
(3) 1 year
(4) 4 years
(5) None of these
Question No : 18
In a class, the average height of 35 girls was measured 160 cm. Later on, it was discovered that the height of one of the girl was misread as 144 cm, while her actual height was 104 cm. What was the actual average height of girls in the class? (rounded off to two digits after decimal)
(1) 159.86 cm
(2) 158.54 cm
(3) 159.56 cm
(4) 158.85 cm
(5) None of these
Question No : 19
Four years ago, the average age of a family of 4 members was 21 years. A baby having born, the average age of the family is the same today. The present age of the baby is:
Question No : 20
The sum of three consecutive even numbers is 114. What will be the middle number?
(1) 38
(2) 40
(3) 42
(4) Data inadequate
(5) None of these
Question No : 21
The average of seven consecutive odd numbers is 47. What is the greatest number among these seven numbers?
(1) 35
(2) 52
(3) 53
(4) 63
(5) None of these
Question No : 22
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
(1) 40 years
(2) 35 years
(3) 48 years
(4) 50 years
(5) None of these
Question No : 23
The sum of 5 consecutive even numbers A, B, C, D and E is 410. What is the product of A and E?
(1) 6708
(2) 6880
(3) 6552
(4) Data inadequate
(5) None of these
Question No : 24
The average weight of 40 students in a class is 35 kg. If the weight of the teacher and two more students whose weights are 55 kg and 50 kg joins the class then the average increases by two kg, what is the weight of the teacher?
(1) 55
(2) 80
(3) 75
(4) 86
(5) 40
Question No : 25
The sum of a set of five consecutive even numbers is 140. What is the sum of the next set of five consecutive even numbers?
(1) 190
(2) 180
(3) 200
(4) 160
(5) None of these
Question No : 26
The average of 4 consecutive even numbers A, B, C and D is 103. What is the product of A and D?
(1) 10763
(2) 10400
(3) 10701
(4) 10600
(5) None of these
Question No : 27
The sum of nine consecutive odd numbers of set-A is 621. What is the sum of different set of six consecutive even numbers whose lowest number is 15 more than the lowest number of set-A?
(1) 498
(2) 468
(3) 478
(4) 486
(5) None of these
Question No : 28
The ratio of the number of players on the three cricket teams A, B and C is 2 : 5 : 3. If the average number of runs scored per player for each of the three teams. A, B and C, is 30 : 17 : 25 respectively, then what is the average number of runs scored per player across all three teams collectively?
(1) 20
(2) 21
(3) 22
(4) 23
(5) None of these
Question No : 29
Five years ago, the average of Simi’s age that time and Tia’s age that time was 17 years. Four years from now, the respective ratio between Simi’s age and Tia’s age that time will be 8 : 5. What is Simi’s present age?
(1) 16 years
(2) 11 years
(3) 32 years
(4) 28 years
(5) 23 years
Question No : 30
The sum of five consecutive even numbers is equal to 230. What is the sum of the largest number amongst them and the square of the smallest number amongst them?
(1) 1684
(2) 1814
(3) 1784
(4) 1844
(5) None of these
Question No : 31
In a class there are three divisions. The number of students and the average marks in mathematics in the three divisions are 30, 40, 30 and 40, 30 and 50 respectively. What are the average marks in mathematics of the class?
(1) 40
(2) 39
(3) 41
(4) 51
(5) None of these
Question No : 32
A family consists of two grandparents, two 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?
Question No : 33
The average daily wages of 450 workers in a factory is Rs.45 and the average daily wages of 340 workers in another factory is Rs.60. What is the approximate average daily wages of workers from both the factories together?
(1) Rs.58
(2) Rs.55
(3) Rs.45
(4) Rs.51
(5) Rs.62
Question No : 34
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?
(1) 15
(2) 17
(3) 19
(4) Data inadequate
(5) None of these
Question No : 35
Sixteen years hence, a man’s age will be 9 times his age 16 years ago. Find his age 5 years hence.
(1) 17 years
(2) 25 years
(3) 12 years
(4) 20 years
(5) None of these
Question No : 36
A man spends Rs.1800 per month on an average for the first four months and Rs.2000 per month for the next 8 months and saves Rs.5600 a year. What is his average monthly income?
(1) Rs.2400
(2) Rs.2000
(3) Rs.1800
(4) Rs.2500
(5) None of these
Question No : 37
In a class the average age of 55 students is 21 years. The average age of 25 girls is 19 years. What is the average age of the boys in the class?
Question No : 38
The average marks of a student in seven subjects is 41. After re-evaluation in one subject the marks were changed to 42 from 14 and in remaining subjects the marks remained unchanged. What are the new average marks?
(1) 45
(2) 44
(3) 46
(4) 47
(5) None of these
Question No : 39
The average weight of a group of 53 girls was calculated as 58 kg. It was later discovered that the weight of one of the girls was misread as 65 kg., whereas her actual weight was 45 kg. What is the actual average weight of the group of 53 girls? (rounded off to two digits after decimal)
(1) 58.62 kg.
(2) 58.37 kg.
(3) 57.37 kg.
(4) 57.62 kg.
(5) None of these
Question No : 40
Sudha’s father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
(1) 2 years
(2) 4 years
(3) 6 years
(4) 8 years
(5) None of these
Question No : 41
The batting average for 30 innings of a cricket player is 40 runs. His highest score exceeds his lowest score by 100 runs. If these two innings are not included, the average of the remaining 28 innings is 38 runs. The lowest score of the player is:
(1) 15
(2) 18
(3) 20
(4) 12
(5) None of these
Question No : 42
The average weight of a group of 75 girls was calculated as 47 kg. It was later discovered that the weight of one of the girls was misread as 45 kg., whereas her actual weight was 25 kg. What is the actual average weight of the group of 75 girls? (Rounded off to two digits after decimal)
(1) 46.73 kg
(2) 46.64 kg
(3) 45.96 kg
(4) 48 kg
(5) None of these
Question No : 43
The average age of 60 boys in a class was calculated as 12 years. It was later realized that the actual age of one of the boys in the class was 12.5 years but it was calculated as 14 years. What is the actual average age of the boys in the class?
(1) 11 years
(2) 11.275 years
(3) 11.50 years
(4) 11.975 years
(5) None of these
Question No : 44
The average marks in Science subject of a class of 20 students is 68. If the marks of two students were misread as 48 and 65 of the actual marks 72 and 61 respectively, then what would be the correct average?
(1) 68.5
(2) 69
(3) 69.5
(4) 70
(5) 66
Question No : 45
The average weight of 45 students in a class was calculated as 36 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 32 kg., but it was calculated as 34 kg and the weight of another boy in the class was 45 kg., whereas it was calculated as 40 kg. What is the actual average weight of the 45 students in the class? (Rounded off to two-digits after decimal).
(1) 36.07 kg.
(2) 36.16 kg.
(3) 35.84 kg.
(4) 35.83 kg.
(5) None of these
Question No : 46
The average salary of all the workers in a workshop is Rs.8,000. The average salary of 7 technicians is Rs.12,000 and the average salary of the rest is Rs.6,000. The total number of workers in the workshop is
(1) 20
(2) 21
(3) 22
(4) 23
(5) None of these
Question No : 47
The average marks in Hindi subject of a class of 54 students is 76. If the marks of two students are misread as 60 and 77 of the actual marks 36 and 47 respectively, then what would be the correct average?
(1) 75.5
(2) 77
(3) 75
(4) 76.5
(5) None of these
Question No : 48
The sum of the present ages of P and Q is 25 years more than the age of R. The present age of Q is 56 years more than that of R. Find the present age of P.
(1) 20 years
(2) 25 years
(3) 21 years
(4) 22 years
(5) None of these
Question No : 49
There are 41 students in a class whose average age is 16 years. What will be the average age of the class, if two students of ages 17 year and 19 year are excluded and a student of age 20 years is included?
(1) Less than 16 years
(2) more than 16 years and less than 20 years
(3) 16 years
(4) 20 years
(5) None of these
Question No : 50
The average age of the husband, his wife and their son ten years ago was 25 years and that of the husband and wife six years ago was 37 years. What is the present age of the son?
(1) 19 years
(2) 43 years
(3) 35 years
(4) 86 years
(5) None of these
Question No : 51
The average age of a husband, his wife and son three years ago was 25 years and that of his wife and son 5 years ago was 18 years. What is the husband’s present age?
(1) 28 years
(2) 39 years
(3) 38 years
(4) 42 years
(5) None of these
Question No : 52
The average age of 6 boys is 18 years. A new boy joins them and their average age increases to 19 years. What is the age of the new boy?
(1) 108 years
(2) 133 years
(3) 25 years
(4) 120 years
(5) None of these
Question No : 53
The average of some natural numbers is 15. If 30 is added to first number and 5 is subtracted from the last number the average becomes 17.5 then the number of natural number is.
(1) 20
(2) 30
(3) 15
(4) 10
(5) None of these
Question No : 54
The average age of father and his two sons is 27 years. Five years ago, the average age of the two sons was 12 years. If the difference between the ages of two sons is four, what is the present age of the father?
(1) 42 years
(2) 48 years
(3) 44 years
(4) 47 years
(5) None of these
Question No : 55
Five years ago, the average of Ram and Shyam’s ages was 20 years. Now, the average age of Ram, Shyam and Mohan is 30 years. What will be Mohan’s age 10 years hence?
(1) 45 years
(2) 49 years
(3) 50 years
(4) 60 years
(5) None of these
Question No : 56
Four years ago the average A, B and C was 25 years. Five years ago the average age of B and C was 20 years. A’s present age is?
(1) 29 years
(2) 25 years
(3) 37 years
(4) 25 years
(5) None of these
Question No : 57
Present average age of A, B and C is 22 years. Three years ago, average age of B and C was 18 years, then find A’s age 9 years hence?
(1) 24 years
(2) 27 years
(3) 30 years
(4) 33 years
(5) 36 years
Question No : 58
The average age of twenty-four student and two teachers is 16 years. If the total of the ages of these two teachers is 56 years, what is the average age of only the students?
(1) 15 years
(2) 56 years
(3) 24 years
(4) 25 years
(5) None of these
Question No : 59
The average monthly income of A and B is Rs.15,050 the average monthly income of B and C is Rs.15,350 and the average income of A and C is Rs.15,200. The monthly income of A is
(1) Rs.15,900
(2) Rs.15,200
(3) Rs.14,900
(4) Rs.15,500
(5) None of these
Question No : 60
The average age of 6 members is 22 years. If the age of the youngest member be 6 years, find the average age of the family at the birth of the youngest member.
(1) 19.2 years
(2) 18 years
(3) 15 years
(4) 25.2 years
(5) None of these
Question No : 61
The average age of a family comprising 5 members is 18 years. If the youngest in the family is 4 years old, what was the average age of the members of the family prior to the birth of this child?
(1) 15 years
(2) 16 years
(3) 17.5 years
(4) 18.5 years
(5) None of these
Question No : 62
The average age of the family of five members is 24. If the present age of youngest member is 8 years, then what was the average age of the family at the time of the birth of the youngest member?
(1) 20 years
(2) 16 years
(3) 12 years
(4) 18 years
(5) 21 years
Question No : 63
On an average, 43% of the students were passing in a particular examination over a period of last four years. This year’s result of the examination was 53%, then what is the new average of passing for five years together?
(1) 54%
(2) 45%
(3) 35%
(4) 50%
(5) None of these
Question No : 64
The average age of a family of four members is 36 years. If the present age of the youngest member of the family be 12 years, the average age of the family at the birth of the youngest member was?
(1) 27 years
(2) 32 years
(3) 27.5 years
(4) 38 years
(5) None of these
Question No : 65
Three years ago the average age of a family of six members was 19 years. A baby having been born, the average age of the family is the same today, the age of the baby is:
(1) 1 year
(2) 2 years
(3) 3 years
(4) 4 years
(5) None of these
Question No : 66
The average age of a husband and a wife who were married four years ago was 20 years then. What will be the average age of the family now if they have a three years old child?
Question No : 67
The average weight of 45 students in a class was calculated as 36 kg. It was later found that the weight of two students in the class was wrongly calculated. The actual weight of one of the boys in the class was 32 kg. but it was calculated as 34 kg and the weight of another boy in the class was 45 kg, whereas it was calculated as 40 kg. What is the actual average weight of the 45 students in the class? (Rounded off to two-digits after decimal)
(1) 36.07 kg
(2) 36.16 kg
(3) 35.84 kg
(4) Can’t say
(5) None of these
Question No : 68
The sum of six consecutive even numbers of set-A is 402. What is the sum of another set-B of four consecutive numbers whose lowest number is 15 less than double the lowest number of set-A?
(1) 444
(2) 442
(3) 440
(4) 446
(5) None of these
Question No : 69
The average collection of a shop for a week was Rs.7224. The average collection for six days except Friday was Rs.7094. What was the collection on Friday?
(1) Rs.8004
(2) Rs.4008
(3) Rs.42565
(4) Rs.7094
(5) None of these
Question No : 70
The sum of eight consecutive even numbers of set-A is 376. What is the sum of different set of five consecutive numbers whose lowest numbers is 15 more than the mean of set-A?
(1) 296
(2) 284
(3) 324
(4) 320
(5) None of these
Question No : 71
The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number?
(1) 165
(2) 175
(3) 163
(4) Can’t say
(5) None of these
Question No : 72
The sum of five consecutive even numbers is equal to 260. What is the sum of the largest number amongst them and the half of the square of the smallest number amongst them?
(1) 1644
(2) 1346
(3) 1208
(4) 1288
(5) None of these
Question No : 73
The sum of five consecutive odd numbers is equal to 225. What is the sum of the smallest number amongst them and the square of one-seventh the largest number amongst them?
(1) 90
(2) 91
(3) 88
(4) 89
(5) None of these
Question No : 74
Out of a class of 65 people, 8 people of average weight 61 kg leave, and immediately 3 people weighing 72 kg, 77 kg and 69 kg, join the class, thereby marking the new average weight of the class 67 kg. What was the original average weight of the class of 65 people (in kg)?
(1) 62
(2) 64
(3) 68
(4) 66
(5) 60
Question No : 75
The sum of five consecutive odd numbers is 595. What is the sum of the second largest number and twice the smallest number?
(1) 355
(2) 351
(3) 357
(4) 353
(5) None of these
Question No : 76
The sum of five consecutive even numbers is equal to 180. What is the product of the largest and the smallest numbers?
(1) 1236
(2) 1226
(3) 1232
(4) 1280
(5) None of these
Question No : 77
The average of 5 consecutive numbers A, B, C, D and E is 48. What is the product of A and E?
(1) 2162
(2) 2208
(3) 2300
(4) 2024
(5) None of these
Question No : 78
A cricketer scored 180 runs in the first test and 258 runs in the second. How many runs should he score in the third test so that his average score in the three tests would be 230 runs?
(1) 438
(2) 252
(3) 180
(4) 690
(5) None of these
Question No : 79
The average of 4 consecutive odd numbers A, B, C and D is 44. What is the product of A and D?
(1) 1763
(2) 1677
(3) 1845
(4) 2021
(5) None of these
Question No : 80
The average weight of three man A, B and C is 84 kg. D joins them and the average weight of the four becomes 80 kg. If E whose weight is 3 kg more than that of D, replaces A, the average weight of B, C, D and E becomes 79 kg. The weight of A is:
(1) 65 kg
(2) 70 kg
(3) 75 kg
(4) 80 kg
(5) None of these
Question No : 81
The average of four consecutive even numbers P, Q, R and S respectively (in increasing order) is 51. What is the product of P and R?
(1) 2592
(2) 2496
(3) 2600
(4) 2808
(5) None of these
Question No : 82
The average of four consecutive numbers A, B, C and D respectively is 56.5. What is the product of A and C?
(1) 3363
(2) 3306
(3) 3192
(4) 3135
(5) None of these
Question No : 83
An elevator can carry maximum of 16 passengers with an average weight of 80 kg. However, four boys more than the maximum carrying capacity of the elevator entered it making the average weight as 86 kg and overloading the elevator. What is the average weight of those four boys?
(1) 112 kg
(2) 108 kg
(3) 110 kg
(4) 98 kg
(5) None of these
Question No : 84
The sum of five consecutive even numbers A, B, C, D and E is 130. What is the product of A and E?
(1) 720
(2) 616
(3) 660
(4) 672
(5) None of these
Question No : 85
Out of three given numbers the first number is twice the second and thrice the third. If the average of the three numbers is 154, what is the difference between the first and the third number?
(1) 126
(2) 42
(3) 166
(4) 52
(5) None of these
