## Average

#### Average

1. In a 20 over match, the required run rate to win is 7.2. If the run rate is 6 at the end of the 15th over, the required run rate to win the match is

1. Here , In a 20 over match, the required run rate to win = 7.2
Total runs = 20 × 7.2 = 144
Total runs in 15 overs = 15 × 6 = 90
Runs to be scored in the next 5 overs = 144 – 90 = 54

##### Correct Option: C

Here , In a 20 over match, the required run rate to win = 7.2
Total runs = 20 × 7.2 = 144
Total runs in 15 overs = 15 × 6 = 90
Runs to be scored in the next 5 overs = 144 – 90 = 54
∴ Required run-rate = 54 ÷ 5 = 10.8

1. Average runs scored by 11 players of a cricket team is 23. If the first player scored 113 runs. Find the average runs of the remaining players.

1. According to question ,
Total runs scored by remaining 10 cricketers = 23 × 11 – 113
Total runs scored by remaining 10 cricketers = 253 – 113 = 140

##### Correct Option: C

According to question ,
Total runs scored by remaining 10 cricketers = 23 × 11 – 113
Total runs scored by remaining 10 cricketers = 253 – 113 = 140
∴ Required average = 140 ÷ 10 = 14 runs

1. A batsman in his 12th innings makes a score of 63 runs and there by increases his average scores by 2. What is his average after the 12th innings?

1. A batsman in his 12th innings makes a score = 63 runs
And there by increases his average scores = 2
Extra runs = 12 × 2 = 24

##### Correct Option: B

A batsman in his 12th innings makes a score = 63 runs
And there by increases his average scores = 2
Extra runs = 12 × 2 = 24
∴ Required average = 63 – 24 = 39

1. A batsman has a certain average of runs for 12 innings. In the 13th innings he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th innings?

1. Let the average for first 12 innings is y
According to question ,
⇒ 12y + 96 = (y + 5) x 13
⇒ 13y - 12y = 96 - 65
⇒ y = 31

##### Correct Option: C

Let the average for first 12 innings is y
According to question ,
⇒ 12y + 96 = (y + 5) x 13
⇒ 13y - 12y = 96 - 65
⇒ y = 31
∴ Average after 13th inning = (31 + 5)= 36

1. A cricketer has a mean score of 60 runs in 10 innings. Find out how many runs are to be scored in the eleventh innings to raise the mean score to 62?

1. Given that , The mean score of a cricketer in 10 innings = 60 runs
The mean score of a cricketer in eleventh innings = 62 runs
Required runs = 60 + 11 × 2 = 82 runs
Second method to solve this question with the help of given formula :
Here, T = 60, N = (10 + 1) t = 62 – 60 = 2

##### Correct Option: B

Given that , The mean score of a cricketer in 10 innings = 60 runs
The mean score of a cricketer in eleventh innings = 62 runs
Required runs = 60 + 11 × 2 = 82 runs
Second method to solve this question with the help of given formula :
Here, T = 60, N = (10 + 1) t = 62 – 60 = 2
Required Runs = T + Nt
Required Runs = 60 + 11 × 2 = 82