Qs 1-4: Read the following information and answer the questions that follow.

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:

  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.

Q.1

What percentage of kids from S were studying in P?

A. 37%

B. 6%

C. 79%

D. 56%

A table is given for kids whose mothers were drop-outs. Make a exactly similar table for kids whose mothers were not drop-outs. And the sum of corresponding cells, from the two tables, will be the total.

Find the total kids sampled from each region e.g. from NE, total sampled were 50 × 150 = 7500. Of which 5000 are in the given table. So rest 2500 are in the table we have to make.

Use each clue now, to fill in the entire second table. While filling cells, dont forget to use the sum of each row and each column as well. The entire table gets filled.

A. 37%

Q.2

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

A. 300

B. 1200

C. 1050

D. 1500

Same as that for first question. Both questions 1 and 2 are solved simultaneously.

A. 300

Same as the explanation given for first question.

Additional directions for questions 3 & 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.

Q.3

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

A. 6000

B. 5250

C. 6750

D. 6300

Of the kids who were not in school earlier …

25% of one region were in G; 100% of another region were in G; 50% of third region were in G … such that overall, 50% of all three regions put together, were in G now.

This above directly hints at weighted average. And one should realise that the average of 25% and 100% is 50% i.e. the weights are in ratio 2 : 1. Weights here refer to ‘number of students of a region’. So, think on lines of “which two regions have number of students not in school in the ratio 2 : 1?”.

A. 6000

dummy

Additional directions for questions 3 & 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.

Q.4

What percentage of the surveyed kids in S, whose mothers had dropped out before completing primary education, were in G now?

A. 94.7%

B. 89.5%

C. 93.4%

D. Cannot be determined from the given information

Same as earlier question, both Q. 3 & 4 get solved together.

A. 94.7%