Average
 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

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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 = 54Correct 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 runrate = 54 ÷ 5 = 10.8
 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.

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

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

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

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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 = 2Correct 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