CAT Questions | CAT LR DI

CAT DI LR section has become increasingly tough beginning from 2015. However, Understanding the basics of Bar graphs, Pie Charts, Multiple graphs, Line Graphs etc forms an integral part of solving tougher CAT level DI LR questions for the CAT Exam. This question is from CAT 2017 Slot 1 CAT DILR.

CAT DILR : 2017 slot 1 questions

Rural Kids Survey

>A study to look at the early learning of rural kids was carried out in a number of village spanning three states, chosen from the North East (NE), the West (W) and the South (S). 50 four-year old kids each were sampled from each of the 150 villages from NE, 250 villages from W and 200 villages from S. It was found that of the 30000 surveyed kids 55% studied in primary schools run by government (G), 37% in private schools (P) while the remaining 8% did not go to school (O).

The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different type of schools for mothers who dropped out of school before completing primary education:



It is also known that:
1.In S, 60% of the surveyed kids were in G. Moreover, in S, all surveyed kids whose mothers had completed primary education were in school.
2.In NE, among the O kids, 50% had mothers who had dropped out before completing primary education.
3.The number of kids in G in NE was the same as the number of kids in G in W.

Question 4: In a follow up survey of the same kids two years later, it was found that all the kids were now in school. Of the kids who were not in school earlier, in one region, 25% were in G now, whereas the rest were enrolled in P; in the second region, all such kids were in G now; while in the third region, 50% of such kids had now joined G while the rest had joined P. As a result, in all three regions put together, 50% of the kids who were earlier out of school had joined G. It was also seen that no surveyed kid had changed schools.
What percentage of the surveyed kids in S, whose mothers had dropped out before completing primary education, were in G now?

1. 94.7%
2. 89.5%
3. 93.4%
4. Cannot be determined

Video Explanation

Explanatory Answer

Method of solving this Question on CAT DILR

General Solution

We know that the break up for the kids by Government School, Private School and Other for mothers who dropped out before completing Primary. If we can complete a similar table for mothers who did complete primary, that should be very useful. We know the overall numbers and so can fill the gaps for the remaining.



Let us just recap the overall numbers



We know that the break up for the kids by Government School, Private School and Other for mothers who dropped out before completing Primary. If we can complete a similar table for mothers who did complete primary, that should be very useful. Since we know the overall numbers, this part should be easy.





In S, 6000 students overall were in G. Of this, 5100 are from mothers who had dropped out. So, mothers who finished and student in G should be 900. And O in second table should be 0.





This gives us private school in S in the second table as well. That should be 4300-900 = 3400





NE-O box should be identical for “Mother Drop-Out” and “Mother Finished” tables. Or, NE-O in second box should be 300. This also gives us W-O for second table





G in NE and G in W both in Mother Drop-out have 4200 each. So, G in NE and G in W should also both be identical. These two cells should be 1050





Post this we can fill the last two cells.





We got lucky here because “Mother finished” O = 0.

So, of all 300 kids who were in O in the first table have now shifted to G. Or, G now stands at 5400.

Or the percentage is 5400/5700 * 100 = 94.7%.

The question is "What percentage of the surveyed kids in S, whose mothers had dropped out before completing primary education, were in G now?"

Hence, the answer is "94.7%".

Choice A is the correct answer.