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In a match of 50 overs, the team batting second was given a target of 310.They lost the match by 10 runs. The team batting second, i.e. the team which lost, scored one-half of their runs in 30 overs and in next five overs they scored one-half of the remaining runs. Later in the next 8 overs, they scored  15th of the remaining runs. In last seven overs, they scored the remaining runs. How many runs did they score in the last seven overs?  
[3 MARKS]


Options:
Answer: Option A
:

Steps: [2 Marks]
Result: [1 Mark]
Total runs scored by the team that lost = 310 - 10 = 300
Now, total no. of overs played by them = 50
i.e. in 30 overs, this team scored =3002
=150 runs
The balance 300 - 150 = 150 runs were scored by this team in balance 20 overs.
By the given condition
In the next 5 overs 12 of 150 runs
= 75 runs were scored.
150 runs - 75 runs = 75 runs are still in balance.
Again in the next 8 overs.
15 of 75 = 15 runs were scored.
Now No. of overs left = 20 - (5 + 8)
=20 - 13
=7 overs
In seven overs, runs scored will be 75 - 15 = 60 runs



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