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In an ODI match of 50 overs, 7 players including captain of India scored x runs with an average of 7.5 runs per over. If the average runs scored by 5 players in the match is 35 runs and one player scored 17 runs then, find the value of x and runs scored by captain in the match?


1. 375, 181
2. 183, 375
3. 375, 183
4. 181, 375

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Correct Answer - Option 3 : 375, 183

Given:

Average runs scored in an ODI match = 7.5 runs per over

Average runs scored by 5 players = 35 runs

Runs scored by 1 player = 17 runs

Formula used:

Average = Sum of observations/Number of observations

Calculation:

Average runs scored in an ODI match = 7.5 runs per over

⇒ Total runs scored in an ODI (50 overs) match = 50 × 7.5 = 375 runs

⇒ Average runs scored by 5 players = 35 runs

⇒ Total runs scored by 5 players in a match = 35 × 5 = 175 runs

Player one scored 17 runs is given

⇒ Total runs scored by 6 players = 175 + 17 = 192 runs

⇒ The score of captain = Total score – Runs scored by 6 players

⇒ 375 – 192 = 183 runs

The value of x is 375 runs and score of captain is 183 runs.

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