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A batswomman missed her century by four runs in an innings, in which the scoring shots in the form of sixes, fours, threes, twos
and singles, were in the proportion 1:3:2:7:10. How many runs did she score in singles?
20
16
10
12
To solve this problem, we need to determine how many runs the batswoman scored in singles based on the given proportion of scoring shots. Here is a breakdown:
- The total runs the batswoman scored is 96 (since she missed the century by four runs).
- The ratio of scoring shots is 1 (sixes) : 3 (fours) : 2 (threes) : 7 (twos) : 10 (singles).
- Let's denote the common multiple of these proportions as 'x'.
- Sixes contribute 6 * 1x = 6x runs.
- Fours contribute 4 * 3x = 12x runs.
- Threes contribute 3 * 2x = 6x runs.
- Twos contribute 2 * 7x = 14x runs.
- Singles contribute 1 * 10x = 10x runs.
- Adding these contributions, we get the equation:
\(6x + 12x + 6x + 14x + 10x = 96\)
\(48x = 96\)
\(x = 2\)
- The runs scored in singles: 10x = 20 runs.
Therefore, the number of runs scored in singles is 20.
Correct Answer: Option 1 - 20
By: santosh ProfileResourcesReport error
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