Dummy 1 Welcome to your Dummy 1 1. Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is: 20 21 28 32 2. The average temperature for Wednesday, Thursday and Friday was 40^{°}C. The average for Thursday, Friday and Saturday was 41° C. If temperature on Saturday was 42° C, what was the temperature on Wednesday? 21 28 32 41° C 3. The average of the first five multiples of 9 is: 28 32 38° C 30 4. The speed of the train going from Nagpur to Allahabad is 100 km/h while when coming back from Allahabad to Nagpur, its speed is 150 km/h. find the average speed during whole journey. 32 44° C 41° C 120 km/hr 5. Find the average of first 97 natural numbers. 39° C 38° C 28 49 6. The average age of three boys is 15 years. If their ages are in ratio 3 : 5 : 7, the age of the youngest boy is 21 years 18 years 15 years 9 years 7. The average of a group of men is increased by 5 years when a person aged of 18 years is replaced by a new person of aged 38 years. How many men are there in the group? 18 years 15 years 9 years 12 years 8. In a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man. What is weight of new comer? 15 years 9 years 12 years 6 9. The average of 25 results is 18. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13^{th} result? 9 years 12 years 5 7 10. A train covers the first 16 km at a speed of 20 km per hour another 20 km at 40 km per hour and the last 10 km at 15 km per hour. Find the average speed for the entire journey. 12 years 4 6 69 kg 11. The average monthly salary of 660 workers in a factory is Rs. 380. The average monthly salary of officers is Rs. 2100 and the average monthly salary of the other workers is Rs. 340. Find the number of other workers. 645 650 640 642 12. The average marks of four subjects is 120. If 33 was misread as 13 during the calculation, what will be the correct average? 650 640 642 121 13. Students of three different classes appeared in common examination. Pass average of 10 students of first class was 70%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes? 640 642 125 72% 14. A man travels equal distances of his journey at 40, 30 and 15 km/h. respectively. Find his average speed for whole journey. 642 120 121 28 15. Five years ago, the average age of A, B, C and D was 45 yr. with E joining them now, the average of all the five is 49 yr. How old is E? 122 125 69% 64 years 16. Average of 80 numbers are 42. When 5 more numbers are included, the average of 85 numbers become 45. Find the average of 5 numbers. 82 89 93 98 17. Find the average increase rate, if increase in the population in the first year is 30% and that in the second year is 40%. 89 93 98 38% 18. One-fourth of certain journey is covered at the rate of 25 km/h, one-third at the rate of 30 km/h and the rest at 50 km/h. Find the average speed for the whole journey. 93 98 40% 39% 19. A batsman makes a score of 270 runs in the 87^{th} inning and thus increase his average by a certain number of runs that is a whole number. Find the possible values of the new average. 98 56% 38% None of these 20. There are five boxes in cargo hold. The weight of the first box is 200 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box's weight. The fourth box at 350 kg is 30% lighter than the fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes. 41% 40% 39% None of these 21. A school has only four classes that contain 10, 20, 30 and 40 students respectively. The pass percentage of these classes are 20%, 30%, 60% and 100% respectively. Find the pass % of the entire school. 56% 76% 34% 66% 22. 19 people went to a hotel for combine dinner party 13 of them spent Rs. 79 each on their dinner and rest spent 4 more than the average expenditure of all the 19. What was the total money spent by them. 76% 34% 66% None of these 23. The average weight of 47 balls is 4 g. if the weight of the bag (in which the balls are kept) be included; the calculated average weight per ball increases by 0.3 g. What is the weight of the bag? 34% 66% None of these 1496 24. A cricketer scored some runs in his 21st innings, as a result, his average runs increased by 3. If the present average run is 40, how many runs he scored in the final innings? 66% None of these 1492 None of these 25. Ajay working in a Cellular company as a salesman. His monthly salary is Rs. 200. But he gets bonus as per given rule. If he sells sim cards of Rs. X then his bonus will be \( \left[ {{{\left( {\frac{x}{{100}}} \right)}^2} + 10} \right] \). In the first quarter of the year his average sale was Rs. 3000 per month. In the next 5 five month his average sale was Rs. 5000 per month and for next four month his average sale was Rs. 8000 per month. What is the average earning per month for the whole year? None of these 1534 1496 18.6 g 26. A man has 'n' magical eggs whose average weight is 'k' gm. Each of the 'n' eggs produces 'n' eggs next day such that the average weight of 'n' eggs produced is same as that of the parental egg for each 'n' groups individually i.e. each egg produces 'n' eggs of next generation and average weight of all the 'n' eggs of next generation is same as the weight of the mother egg. This process is continued without any change in pattern. What is the total weight of all the eggs of r^{th} generation, where the initial number of eggs with man are considered as the eggs of first generation. rnk r^{n}k nk^{r} n^{r}k 27. A man started his journey from Lucknow to Kolkata, which is 200 km, at the speed of 40 kmph then he went to Banglore which is 300 km, at the speed of 20 kmph. Further he went to Ahmedabad which is 500 km, at the speed of 10 kmph. The average speed of the man is : r^{n}k nk^{r} n^{r}k None of these 28. The average age of A, B, C, D and E is 40 years. The average age of A and B is 35 years and the average of C and D is 42 years. Age of E is : nk^{r} n^{r}k None of these 16.1 kmph 29. The mean weight of 100 students in a class is 46 kg. The mean weight of boys is 50 and of girls is 40 kg. Therefore, the number of boys is: n^{r}k None of these 15.6 kmph 45 years 30. There are three categories of jobs A, B and C. The average salary of the student who got the job of A and B categories is 26 lakh per annum. The average salary of the students who got the job of B and C category is 44 lakh per annum and the average salary of those students who got the job of A and C categories is 34 lakh per annum. The most appropriate (or closet) range of average salary of all the three categories (if it is known that each student gets only one category of jobs i.e. , A, B and C): None of these 14<span class="MathJax" id="MathJax-Element-2-Frame" tabindex="0" style="text-align: inherit; position: relative;" data-mathml="57" role="presentation">5757{\frac{5}{7}} Kmph 16.1 kmph 65 31. A has 50 coins of 10 paise denominations. While B has 10 coins of 50 paise denominations. C has 20 coins of 25 paise denominations while D has 25 coins of 20 paise denominations. The average number of paise per person is : 450 paise 500 paise 550 paise 650 paise 32. The average income of A, B and C is Rs. 12,000 per month and average income of B, C and D is Rs. 15,000 per month. If the average salary of D be twice that of A, then the average salary of B and C is in Rs. : 500 paise 550 paise 650 paise 9,000 33. A passenger travels from Delhi to Merut at a speed of 30 kmph and return with a speed of 60 kmph. What is the average speed? 550 paise 650 paise 13,500 48 34. The average of 20 students is 12 years, if the teacher's age is included, average increases by one. The age of the teacher is: 650 paise 18,000 9,000 35 years 35. The average wages of a worker during a fortnight comprising 15 consecutive working days was Rs. 90 per day. During the first 7 days, his average wages was Rs. 87/day and the average wages during the last 7 days was Rs. 92/day. What was his wage on the 8^{th} day? 8,000 13,500 50 97 36. 40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together? 390 405 408 415 37. 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? 405 408 415 Rs. 12, Rs. 14 38. In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers? 408 415 Rs. 16, Rs. 10 3.5 39. Of the three numbers, the first is twice the second and the second is twice the third. The average of the reciprocal of the numbers is \(\frac{7}{{72}}\). The numbers are: 415 Rs. 8, Rs. 12 Rs. 12, Rs. 14 16, 8, 4 40. The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the manager whose salary was Rs. 720, was replaced with a new manager, then the average salary of the team went down to 580. What is the salary of the new manager? Rs. 5, Rs.7.50 Rs. 16, Rs. 10 3 570 41. The average of five different positive numbers is 25. x is the decrease in the average when the smallest number among them is replaced by 0. What can be said about x? x is less than 5 x is greater than 5 x is equal to 5 Cannot be determined 42. In 2011, the arithmetic mean of the annual incomes of Ramesh and Suresh was Rs. 3800. The arithmetic mean of the annual incomes of Suresh and Pratap was Rs. 4800, and the arithmetic mean of the annual incomes of Pratap and Ramesh was Rs. 5800. What is the arithmetic mean of the incomes of the three? x is greater than 5 x is equal to 5 Cannot be determined Rs. 4800 43. In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun? x is equal to 5 Cannot be determined Rs. 4400 Data inadequate 44. A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What was the difference of the two digits a and b? Cannot be determined Rs. 4200 Rs. 4800 4 45. The average of first five multiples of 3 is: Rs. 4000 Rs. 4400 69 kg. 11 46. There are two sections A and B of a class, consisting of 36 and 44 students' respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class. 30 kg 35 kg 42.5 kg 37.25 kg 47. Distance between two stations A and B is 778km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56 km per hour. Find the average speed of train during the whole journey. 35 kg 42.5 kg 37.25 kg 67.2 km/hr 48. The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly: 42.5 kg 37.25 kg 57 km/hr 29.27 49. The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, then find the average for the last four matches. 37.25 kg 30.5 km/hr 67.2 km/hr 35 50. A batsman makes a score of 87 runs in the 17^{th} inning and thus increases his average by 3. Find his average after 17^{th} inning. 60 km/hr 57 km/hr 28.78 55 51. There were 35 students in a hostel. Due to the admission of 7 new students the expenses of the mess were increased by Rs.42 per day while the average expenditure per head diminished by Re 1. What was the original expenditure of the mess? Rs. 450 Rs. 320 Rs. 550 Rs. 420 52. Nine persons went to a hotel for taking their meals. Eight of them spent Rs. 12 each on their meals and the ninth spent Rs. 8 more than the average expenditure of all the nine. What was the total money spent by them. Rs. 320 Rs. 550 Rs. 420 Rs. 118 53. David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, mathematics, physics, chemistry and biology. What are his average marks? Rs. 550 Rs. 420 Rs. 117 None of these 54. The average of runs of a cricket player of 10 innings was 32. How many runes must be made in his next innings so as to increase his average of runs by 4? Rs. 420 Rs. 116 Rs. 118 76 55. There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class. Rs. 115 Rs. 117 75 37.25 kg. 56. Distance between two stations A and B is 778km. A train covers the journey from A to B at 84km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of train during the whole journey. 60 km/hr 30.5 km/hr 57 km/hr 67.2 km/hr 57. The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly: 30.5 km/hr 57 km/hr 67.2 km/hr 29.27 58. The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, then find the average for the last four matches. 57 km/hr 67.2 km/hr 28.78 35 59. Nine persons went to a hotel for taking their meals. Eight of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them. 67.2 km/hr 29.68 29.27 Rs. 118 60. The average of runs of a cricket player of 10 innings was 32. How many runes must be made in his next innings so as to increase his average of runs by 4? 28.32 28.78 34.25 76 61. The average wages of a worker during a fortnight comprising 15 consecutive working days was Rs.90 per day. During the first 7 days, his average wages was Rs.87/day and the average wages during the last 7 days was Rs.92 /day. What was his wage on the 8th day? 83 92 90 97 62. The average temperature on Wednesday, Thursday and Friday was 20°. The average temperature on Thursday, Friday and Saturday was 24°. If the temperature on Saturday was 27°, what was the temperature on Wednesday? 92 90 97 30° 63. When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students? 90 97 27° 52.2 64. The difference between two angles of a triangle is 24°. The average of the same two angles is 54°. Which one of the following is the value of the greatest angle of the triangle? 97 21° 30° 72° 65. The average age of a family of 5 members is 20 years. If the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member? 24° 27° 58.2 12.5 66. Which one of the following numbers can be removed from the set S = {0, 2, 4, 5, 9} without changing the average of set S? 0 2 4 5 67. Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes. 2 4 5 3240 68. The average weight of three boys A, B and C is 16331633\frac{{163}}{3} kg, while the average weight of three boys B, D and E is 53 kg. What is the average weight of A, B, C, D and E? 4 5 720 Data inadequate 69. Average of ten positive numbers is x. If each number is increased by 10%, then x : 5 2088 3240 is increased by 10% 70. 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? 1044 720 53.8 kg Rs. 12, Rs. 14 71. Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is: 20 21 28 32 72. The average temperature for Wednesday, Thursday and Friday was 40^{°}C. The average for Thursday, Friday and Saturday was 41° C. If temperature on Saturday was 42° C, what was the temperature on Wednesday? 21 28 32 41° C 73. The average of the first five multiples of 9 is: 28 32 38° C 30 74. The speed of the train going from Nagpur to Allahabad is 100 km/h while when coming back from Allahabad to Nagpur, its speed is 150 km/h. find the average speed during whole journey. 32 44° C 41° C 120 km/hr 75. Find the average of first 97 natural numbers. 39° C 38° C 28 49 76. The average age of three boys is 15 years. If their ages are in ratio 3 : 5 : 7, the age of the youngest boy is 21 years 18 years 15 years 9 years 77. The average of a group of men is increased by 5 years when a person aged of 18 years is replaced by a new person of aged 38 years. How many men are there in the group? 18 years 15 years 9 years 12 years 78. In a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man. What is weight of new comer? 15 years 9 years 12 years 6 79. The average of 25 results is 18. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13^{th} result? 9 years 12 years 5 7 80. A train covers the first 16 km at a speed of 20 km per hour another 20 km at 40 km per hour and the last 10 km at 15 km per hour. Find the average speed for the entire journey. 12 years 4 6 69 kg 81. The average monthly salary of 660 workers in a factory is Rs. 380. The average monthly salary of officers is Rs. 2100 and the average monthly salary of the other workers is Rs. 340. Find the number of other workers. 645 650 640 642 82. The average marks of four subjects is 120. If 33 was misread as 13 during the calculation, what will be the correct average? 650 640 642 121 Time's up