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
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Correct Answer: 55.5
Solution : Let the average before the 17th match be $x$. New average after 17th match = $x$ + 2.5 Runs scored in the 17th match = 98 runs Total runs before the 17th match = 16$x$ ⇒ 16$x$ + 98 = ($x$ + 2.5) × 17 ⇒ 17$x$ – 16$x$ = 98 – 42.5 ⇒ $x$ = 55.5 Hence, the correct answer is 55.5.
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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 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 : 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
Question : The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings to increase his average of runs by 4?
Option 1: 116
Option 2: 114
Option 3: 170
Option 4: 76
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