The average of four consecutive even numbers is 27. The largest of these numbers is
28
26
32
32
The average of the marks of 28 students in Mathematics was 50. When 8 students left the school, then the average increased by 5. What is the average of the marks obtained by the students who left the school?
50.5
37.5
42.5
42.5
The average age of 8 men, 7 women and 1 boy is 45 years. If the average age of 8 men is 48 years and that of 7 women is 46 years, then the age of the boy is
14 years
15 years
16 years
16 years
The average monthly salary of the workers in a workshop is Rs. 8500. If the average monthly salary of 7 technicians is Rs. 10,000 and average monthly salary of the rest is Rs. 7,800, the total number of workers in the workshop is
18
20
22
22
A cricket player has an average score of 30 runs of 42 innings played by him. In an innings, his highest score exceeds his lowest score by 100 runs. If these two innings are excluded, his average of the remaining 40 innings is 28 runs. His highest score in an innings is
125
120
110
110
B.
120
Let the lowest score of the cricketer be x.
∴ Cricketer's highest score would be (x + 100)
According to the question,
x + (x + 100) = 42 x 30 - 40 x 28
⟹ 2x + 100 = 1260 - 1120 = 140
⟹ 2x = 40
⟹ x = 20
∴ His highest score in an innings = (x + 100) = (20 + 100) = 120.
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is
20
26
31
31
In a team of 10 persons, nine persons spent Rs. 40 each for their meal and the remaining one spent Rs. 9 more than the average expenditure of all the 10 persons. The total expenditure for their meal was
Rs. 510
Rs. 310
Rs. 410
Rs. 410
The average of 20 numbers is calculated as 35. It is discovered later, that while calculating the average, one number, namely 85, was read as 45. The correct average is
36.5
37
37.5
37.5
Of three numbers, the first is 4 times the second and 3 times the third. If the average of all the three numbers is 95, what is the third number?
76
60
130
130