A study to look at the early teaming 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 feds 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:
| 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:
Among the kids in W whose mothers had completed primary education, how many were not in school?
Correct Answer :
300
Solution :
The correct option is A.
Let's calculate the total number of kids surveyed in each region:
Total kids = 30,000.
NE: 150 villages × 50 kids/village = 7,500 kids.
W: 250 villages × 50 kids/village = 12,500 kids.
S: 200 villages × 50 kids/village = 10,000 kids.
Out of school (O) kids overall = 8% of 30,000 = 2,400.
O kids whose mothers dropped out before completing primary education = 1,800 (from the table).
Therefore, the number of O kids whose mothers completed primary education = 2,400 − 1,800 = 600.
From the additional conditions:
1. In S, all kids whose mothers completed primary education were in school. This means O = 0 for S under this category.
2. In NE, among the O kids, 50% had mothers who dropped out. Since the number of O kids whose mothers dropped out in NE is 300, the total O kids in NE = 300 / 0.5 = 600. Thus, O kids in NE whose mothers completed primary education = 600 − 300 = 300.
Now we can find the number of O kids in W whose mothers completed primary education:
O (W, completed) = Total O (completed) − O (NE, completed) − O (S, completed)
O (W, completed) = 600 − 300 − 0 = 300.
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