CAT 2018 Question Paper | CAT LR DI

CAT Questions

The Pie chart sets like this can come handy during the CAT exam (downloadable sylabus available in this link). It can slightly ease you because the questions from these sets mostly involve tracking the data or calculating percentages. That is exactly what is asked in this question as well. Will you be able to do it? Solve this wonderful problem from CAT 2018 question paper and flex your DILR skills!

CAT DILR : CAT 2018 Question Paper Slot 1

Set 4 : LED TV Sales

The multi-layered pie-chart below shows the sales of LED television sets for a big retail electronics outlet during 2016 and 2017. The outer layer shows the monthly sales during this period, with each label showing the month followed by sales figure of that month. For some months, the sales figures are not given in the chart. The middle-layer shows quarter-wise aggregate sales figures (in some cases, aggregate quarter-wise sales numbers are not given next to the quarter). The innermost layer shows annual sales. It is known that the sales figures during the three months of the second quarter (April, May, June) of 2016 form an arithmetic progression, as do the three monthly sales figures in the fourth quarter (October, November, December)of that year.

Question 4 : During which month was the percentage increase in sales from the previous month’s sales the highest?

1. March of 2016
2. October of 2016
3. October of 2017
4. March of 2017

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Video Explanation

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Explanatory Answer

Method of solving this CAT Question on CAT DILR

Let us fill the simple numbers first.

Now, let us get to the two Arithmetic Progressions. It is known that the sales figures during the three months of the second quarter (April, May, June) of 2016 form an arithmetic progression, as do the three monthly sales figures in the fourth quarter (October, November, December)of that year.
Three terms are in AP, the middle term is the average of the three terms. So, May 2016 number is 50. And November 2016 should be 120.

Three terms are in AP, the middle term is the average of the three terms. So, May 2016 number is 50. And November 2016 should be 120.
Now, we can get the June and December numbers as well.
We are comparing \\frac{40}{60}) , \\frac{45}{55}) , \\frac{80}{70}) , \\frac{60}{100}).
Out of this \\frac{80}{70}) is the highest as it is more than 1 and therefore October 2017 has the highest percentage increase in sales when compared to previous month.

The question is "During which month was the percentage increase in sales from the previous month’s sales the highest?"

Hence, the answer is October of 2017

Choice C is the correct answer.