Average

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101 The average age of 25 boys in a class decreases by 6 months, when a new boy takes the place of a 20 yr old boy. Find out the age of new boy:

A
7.5
B
8.5
C
12.5
D
10.5

102 The average of 4 consecutive even numbers is 27. What is the greatest number?

A
28
B
26
C
32
D
30

103 The average of nine numbers is 50. The average of the first five numbers is 54 and that of the last three numbers is 52. Then, the sixth number is

A
34
B
24
C
44
D
30

104 A professional institute's total expenditure on students for a particular course is partly fixed and partly varies linearly with the number of students. The average expense per student is ₹ 615 when there are 24 students and ₹ 465 when there are 40 students. What is the average expense when there are 60 students?

A
₹ 380
B
₹ 390
C
₹ 410
D
₹ 430

105 If p, q, r be three positive numbers such that p > q > r when the smallest number is added to the difference of the rest two numbers, then the average of the resultant number and the original numbers except to the smallest number is 21 more than the average of all the three original numbers. The value of (p -q) is:

A
63
B
73
C
53
D
33

106 A student bought 6 books namely A, B, C, D, E and F at ₹111, ₹95, ₹50, ₹125, ₹75 and ₹x respectively. If the average of all these books is ₹6 more than the average cost of books B, C and D, find the value of x:

A
150
B
130
C
120
D
180

107 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-digit's after decimal)

A
36.07 kg
B
30.77 kg
C
48.17 kg
D
42.27 kg

108 The average weight of all the 11 players of CSK is 50 kg. If the average of first six lightest weight players of CSK is 49 kg and that of the six heaviest players of CSK is 52 kg. The average weight of the player which lies in the sixth position in the list of players when all the 11 players of CSK are arranged in the order of increasing or decreasing weights:

A
45 kg
B
60 kg
C
38 kg
D
56 kg

109 In the first 35 overs of a cricket game, the run rate was only 6.4. What should be the run rate in the remaining 15 overs to reach the target of 410 runs. ?

A
13.6
B
10.4
C
12.4
D
14.6

110 In a particular week the average number of people visited the museum is 70. If we exclude the holidays then the average number is increased by 28. Further if we exclude the day which the maximum of 210 visitors visited the museum, then the average become 40. Find the number of holidays in the week:

A
1
B
2
C
3
D
5