Question : A cricketer whose bowling average was 12.4 runs per wicket takes 5 wickets for 22 runs in a match, thereby decreasing his average by 0.4. The number of wickets taken by him before this match was:
Option 1: 78
Option 2: 87
Option 3: 95
Option 4: 105
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Correct Answer: 95
Solution : Given: Bowling average is 12.4. Let the number of wickets taken by him before the match be $x$. The total runs = $12.4x$ The runs scored including this match are given by $12.4x + 22$ with an average of 12. According to the question, ⇒ $\frac{12.4x+22}{x+5}=12$ ⇒ $12.4x + 22 = 12x + 60$ ⇒ $0.4x = 38$ $\therefore x=95$ Hence, the correct answer is 95.
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Question : A batsman scores 87 runs in the 21st match of his career. His average runs per match increases by 2. What was his average before the 21st match?
Option 1: 45
Option 2: 46
Option 3: 44
Option 4: 43
Question : A batsman scores 98 runs in the 17th match of his career. His average runs per match increased by 2.5. What was his average before the 17th match?
Option 1: 58
Option 2: 60.5
Option 3: 63
Option 4: 55.5
Question : A batsman makes 81 runs in the 16th match and thus increases his average runs per match by 3. What is his average after the 16th match?
Option 1: 35
Option 2: 34
Option 3: 33
Option 4: 36
Question : Sachin Tendulkar has a certain average for 11 innings. In the 12th inning, he scores 120 runs, thereby increasing his average by 5 runs. His new average is:
Option 1: 60
Option 2: 62
Option 3: 65
Option 4: 66
Question : The average number of runs scored by 11 players on a cricket team is 23. If the first player scored 113 runs, then find the average runs of the remaining players.
Option 1: 8 runs
Option 2: 12 runs
Option 3: 14 runs
Option 4: 27 runs
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