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

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

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

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

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