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In the first 20 overs of a cricket match between India and Australia, India's per over run rate was 7.1, now the target of 425 runs is to be achieved
Question

In the first 20 overs of a cricket match between India and Australia, India's per over run rate was 7.1, now the target of 425 runs is to be achieved in 45 overs. What is the minimum average required for India to make sure that they will win the game?

A.

12.5

B.

11

C.

11.3

D.

6

Correct option is C

Given
Overs played = 20
Current Run Rate = 7.1
Total Target = 425 runs
Total Overs = 45

Solution
Runs scored in first 20 overs = 20×7.1 20 \times 7.1​ = 142
Remaining runs needed = 425 - 142 = 283
Remaining overs = 45 - 20 = 25
Required Run Rate = Remaining RunsRemaining Overs \frac{\text{Remaining Runs}}{\text{Remaining Overs}}​​

Required Rate = 28325=11.32\frac{283}{25} = 11.32​​
Approximate required average = 11.3

Final Answer
So the correct answer is (c)

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