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  • 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 (5). 50 four-year old

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 (5). 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 (0).
 

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 0 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 : 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 0 now, whereas the rest were enrolled in F; 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 0. It was also seen that no surveyed kid had changed schools.
What number of the surveyed kids now were in G in W? 

Option: 1

6000


Option: 2

5250


Option: 3

6750


Option: 4

6300


Answers (1)

best_answer

 

                G

            P

        O

        Total
 

    Dropped out

    Completed 

    Dropped out

    Completed

    Dropped out

    Completed

    NE

    4200

    1050

    500

    1150

    300

    300

    7500

    W

    4200

    1050

    1900

    3850

    1200

    300

    1250

    S

    5100

    900

    300

    3400

    300

    0

    10000

    Total

    13500

    3000

    2700

    8400

    1800

    600

    30000

Out of the initial 2,400 students who were not attending school, 1,200 of them have shifted to government schools (G) according to the given percentages. The distribution is as follows:

50% of W: 50% of 1,500 remaining students = 750 students.

25% of NE: 25% of 600 remaining students = 150 students.

100% of S: 100% of 300 remaining students = 300 students.

Combining these numbers, a total of 1,200 students have shifted to G. As a result, the number of students currently in G in W is calculated as:

Previous number of students in G in W (4,200) + Number of students from W who shifted to G (750) = 6,000 students.

Therefore, there are now 6,000 students enrolled in government schools (G) in W, which is option (1).

Posted by

Divya Prakash Singh

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