Comprehension

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:
number of kids in different types of schools
It is also known that:
1. In S, 60% of the surveyed kids were m 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: 1

What percentage of kids from S were studying in P?

Updated On: Sep 26, 2024
  • 37%
  • 6%
  • 79%
  • 56%
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The Correct Option is A

Solution and Explanation

Using the provided table for children in various schools with mothers who lacked formal education, we will introduce an additional set of values. These new values will specifically indicate the number of children in different types of schools, but in this case, their mothers have completed primary education.
children in various schools with mothers who lacked
Out of the total 10,000 students in S, the sum of 300 and 3400, which is 3700, represents the number of students studying in P. This corresponds to a percentage of 37%.

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Question: 2

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

Updated On: Sep 26, 2024
  • 300
  • 1200
  • 1050
  • 1500
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The Correct Option is A

Solution and Explanation

Using the provided table for children attending various schools, whose mothers did not complete their education, we will introduce additional values. These new values will specifically denote the number of children in different types of schools, now considering those whose mothers completed primary education.
children attending various schools,
In the W category, there were 300 children whose mothers had completed primary education and were not attending school.

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Question: 3

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?

Updated On: Sep 26, 2024
  • 6000
  • 5250
  • 6750
  • 6300
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The Correct Option is A

Solution and Explanation

Using the provided table for children attending various schools, whose mothers did not complete their education, we will introduce additional values. These new values will specifically denote the number of children in different types of schools, now considering those whose mothers completed primary education.
children attending various schools,
Initially, there were 2400 students not attending school. With 1200 of them now in G and considering the provided percentages, the only plausible scenario is that 50% of students in W, 25% of students in NE, and 100% of students in S who were not attending 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

The total comes to 1200 students, and now there are a total of 4200 + 1050 + 750 = 6000 students attending G from the W category.

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Question: 4

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?

Updated On: Sep 26, 2024
  • 94.7%
  • 89.5%
  • 93.4%
  • Cannot be determined from the given information
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The Correct Option is A

Solution and Explanation

Using the provided table for children attending various schools, whose mothers did not complete their education, we will introduce additional values. These new values will specifically denote the number of children in different types of schools, now considering those whose mothers completed primary education.
children attending various schools,
As mentioned earlier, all 300 students in S who were not attending school have now shifted to G. Out of the total 5700 students in S regions whose mothers had dropped out, 5400 are currently enrolled in G.
The required percentage = \(\frac{5400}{5700}\times100=94.7\%\)

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