coolhabhi wrote:A cricketer made 90 runs in his 12th inning, and his average declined by 5 runs. Find his new average after the 12th innings.
a)127
b)145
c)150
d)180
e)217
We can PLUG IN THE ANSWERS, which represent the average after 12 innings.
Since the average after the 12th inning decreases by 5 runs, the answer choices imply the following options for the average after 11 innings:
127 + 5 = 132.
145 + 5 = 150.
150 + 5 = 155.
180 + 5 = 185.
217 + 5 = 222.
Given that the number of runs made in the 12th inning is a MULTIPLE OF 10, the most likely answer choice is
B -- the only option that yields a multiple of 10 for the average after 11 innings.
When the correct answer choice is plugged in, 90 runs will be made in the 12th inning.
Answer choice
B:
Total runs after 12 innings = (number of innings)(average per inning) = 12*145 = 1740.
Total runs after 11 innings = (number of innings)(average per inning) = 11*150 = 1650.
Runs made in the 12th inning = (total for all 12 innings) - (total for the first 11 innings) = 1740-1650 = 90.
Success!
The correct answer is
B.
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