A study to look at the early leaming of rural kids was carried out

A study to look at the early leaming 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 arid 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) white 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:

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.

1. What percentage of kids from S were studying in P?

  1. 37%
  2. 6%
  3. 79%
  4. 56%

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

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.

3. What number of the surveyed kids now were in G in W?

  1. 6000
  2. 5250
  3. 6750
  4. 6300

4. 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 from the given information

Answers

  1. A
  2. A
  3. A
  4. A

With the table given for kids in different schools whose mothers had dropped out of school, add another value for each value already present and the new value will represent the number of kids in different types of schools for kids whose mothers completed primary education.

1. 300 + 3400 = 3700 students out of 10,000 from S were studying in P, i.e., 37%.

2. In W, 300 kids whose mothers had completed primary education were not in school.

3. As there were initially 2400 students who were not in school and now 1200 of them are in G, with the mentioned percentages the only possibility is 50% of students in W, 25% of students in NE and 100% of students in S who were not going to school shifted to G.

Therefore, 50% of W = 50% of 1500 = 750

25% of NE = 25% of 600 = 150

100% of S = 100% of 300 = 300

Total = 1200

4200 + 1050 + 750 = 6000 students were in G is W.

4. All 300 in S who were not going to school, now shifted to G. Now of the 5700 students whose mothers had dropped out in S regions, 5400 are in G.

Required percentage = 5400/5700 x 100 = 94.7%