CAT Questions | CAT LR DI

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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:

CAT DI LR 2017 Slot 1

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 2: Among the kids in W whose mothers had completed primary education, how many were not in school?

  1. 300
  2. 1200
  3. 1050
  4. 1500

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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.

CAT DI LR 2017 Slot 1

Let us just recap the overall numbers

CAT DI LR 2017 Slot 1

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.

CAT DI LR 2017 Slot 1

CAT DI LR 2017 Slot 1

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.

CAT DI LR 2017 Slot 1

CAT DI LR 2017 Slot 1

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

CAT DI LR 2017 Slot 1

CAT DI LR 2017 Slot 1

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

CAT DI LR 2017 Slot 1

CAT DI LR 2017 Slot 1

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

CAT DI LR 2017 Slot 1

CAT DI LR 2017 Slot 1

Post this we can fill the last two cells.

CAT DI LR 2017 Slot 1

CAT DI LR 2017 Slot 1

Ans. 300

The question is "Among the kids in W whose mothers had completed primary education, how many were not in school?"

Hence, the answer is "300".

Choice A is the correct answer.

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