CAT 2017 LR questions

A study to look at the early learning of rural kids was carried out in a number of villages 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 types of schools for mothers who dropped out of school before completing primary education:

  G P O Total
NE 4200 500 300 5000
W 4200 1900 1200 7300
S 5100 300 300 5700
Total 13500 2700 1800 18000

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: What percentage of kids from S were studying in P?
Options:
  1. 37%
  2. 6%
  3. 79%
  4. 56%
Show Answer
Correct Option: a

Question: Among the kids in W whose mothers had completed primary education, how many were not in school?
Options:
  1. 300
  2. 1200
  3. 1050
  4. 1500
Show Answer
Correct Option: a

Question: 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 number of the surveyed kids now were in G in W?


Options:
  1. 6000
  2. 5250
  3. 6750
  4. 6300
Show Answer
Correct Option: a

Question: 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?


Options:
  1. 94.7%
  2. 89.5%
  3. 93.4%
  4. Cannot be determined from the given information
Show Answer
Correct Option: a
CAT 2017 LR questions
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