51. The average of eight numbers is 62. If the sum of the last seven numbers is 458, find the first number.

(a) 56

(b) 48

(c) 54

(d) 38


52. The average of twenty numbers is 54.5 If the sum of the first nineteen numbers is 1036, then the last number is

(a) 54

(b) 72

(c) 42

(d) 68


53. The average of thirteen numbers is 18. If the sum the last twelve numbers is 216, find the first number.

(a) 14

(b) 16

(c) 18

(d) 20


54. The average of ten numbers is 26, If the sum of the first seven numbers is 188, then what is the average of the last three numbers?

(a) 26

(b) 24

(c) 25

(d) 28


55. The average of twenty five numbers is 48. If the sum of fifteen numbers out of them is 978, then the average of the remaining numbers is

(a) 28.4

(b) 42.2

(c) 54.6

(d) 22.2


56. A man earned 7500 per month during the first four months and 9000 per month during the next two months. Find his average earning per month during this period.

(a) ₹7800 

(b) ₹8000

(c) ₹8500 

(d) 8200


57. The average of x numbers is y and the average of y numbers is x. Find the average of all these numbers.

(a) 2xy/x+y

(b) xy/x+y

(c) x+y/xy

(d) x+y/ 2xy


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58. If the average of m numbers is n² and the average of n numbers is m², then what will be the average of (m+n)  numbers? 

(a) mn

(b) mn

(c) m-n

(d) 2mn


59. The average of three numbers is 154. If the first number is twice the second number and the second number is twice the third number, then the first number is

(a) 66

(b) 184

(c) 228

(d) 264


60. The average of 10 numbers is 30. If 5 is added to each number, then the new average will be

(a) 32.5

(b) 33

(c) 33.5

(d) 35


61. The average of 15 numbers is 40. If 4 is subtracted from each number, then the new average will be

(a) 38

(b) 38.5

(c) 36

(d) 36.5


62. The average of four consecutive even numbers is 9. Find the greatest number.

(a) 8

(b) 10

(c) 12

(d) 14


63. A cricketer scored 180 runs in the first test and 258 runs in the second test. How many runs must he score in the third test to make his average 230 runs?

(a) 224

(b) 236

(c) 252

(d) 218


64. The average of 4 numbers is 20 and if a constant 'C" is added to each of the numbers, then their average becomes 22. What is the value of C?

(a) 4

(b) 3

(c) 5

(d) 2


65. The average age of 10 players of a cricket team is 30 years. If their captain is also included with them, then their average age increases by 1 year. Find the age of the captain.

(a) 37 years

(b) 41 years

(c) 39 years

(d) 43 years


66. The average of 7 numbers is 8. If one more number is included with them, then the 

average becomes 9. Find the included number.

(a) 12

(b) 14

(c) 16

(d) 18


67. The average weight of 6 boys is 32 kg which is decreased by 1 kg when a new boy joins the group. What is the weight of the new boy?

(a) 28 kg

(b) 23 kg

(c) 29 kg

(d) 25 kg


68. The average age of 10 members of a family was 28 years. A member went for the job due to which the average age of the family is increased by 1 year. Find the age of the member who went for the job.

 ( a) 18 years 

(b) 19 years

(c) 17 years 

(d) 21 years


69. The average age of 10 girls in a hostel is 19 years. But one girl left the hostel and the average age is increased by 0.5 year. Find the age of the girl who left the hostel.

(a) 14 years

(c) 15 years

(b) 29/2 years

(d) 31/2 years 


70. The average of 5 numbers is 27. If one number is excluded from them, then the average is decreased by 2. Find the excluded number.

(a) 35

(b) 34

(c) 36

(d) 33


71. The average weight of 8 persons is increased by 2.5 kg, if a person whose weight is 56 kg is replaced by a new person. What is the weight of the new person?

(a) 72 kg

(b) 74 kg

(c) 76 kg

(d) 78 kg


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72. In a boat, there are 8 men whose average weight is increased by 1 kg, when a man of 60 kg is replaced by a new man. What is the weight of the new comer?

(a) 68 kg

(b) 70 kg

(c) 52 kg

(d) 64 kg


73. The average age of 26 labourers is 30 years. It is decreased by 1/5 year when a labourer went home. Find the age of that labourer.

(a) 32 years

(b) 38 years

(c) 35 years

(d) 34 years


74. In a class, there were 30 boys whose average weight is decreased by 200 gm, when one boy whose weight was 25 kg left the class and a new one was admitted. Find the weight of the new comer.

(a) 17 kg

(b) 18 kg

(c) 19 kg

(d) 20 kg


75. The average marks of 10 students is 45 and the average marks of 15 other students is 40. Find the average marks of all the students.

(a) 40

(b) 41

(c) 42

(d) 43


Answer- 51-d  52-a  53-c  54-b  55-d  56-b  57-a  58-b 59-d  60-d  61-c  62-c  63-c  64-d  65-b  66-c  67-d  68-b  69-b  70-a   71-c    72-a   73-c   74-c  75-c