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XAT 2012 — QA & DI Question 24

Pie-ChartsEasy
Passage / Data

Answer the following question based on the information given below.

The following pie chart shows the percentage distribution of runs scored by a batsman in a test innings.

​​​​​​​

If 5 of the dot balls had been hit for 4s, and if two of the shots for which the batsman scored 3 runs each had fetched him one run instead, what would have been the central angle of the sector corresponding to the percentage of runs scored in 4s?

Answer & solution

  • A

    160

  • B

    163

  • C

    165

  • D

    167

  • 170

Solution

Considering the changes mentioned in the question, total runs = 306 + 20 – 4 = 322.

As calculated in the previous question, runs scored in fours = 132.

So, runs scored in fours = 132 + 20 = 152.

So, central angle = (152/322) × 360 = 169.93

So, as per the options, the answer should be 170.

Hence, option (e).

XAT 2012 QA & DI Q24: If 5 of the dot balls had been hit for 4s, and if two of the shots for which the batsman scored 3 runs each ha — Solution | TheCATExam