Data Interpretation – A study to look at the early

DILR – Data Interpretation – Set

The following set contains four questions related to Data Interpretation. Choose the best answer to each question.


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:

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.

Questions

Q1) What percentage of kids from S were studying in P?

A) 37%
B) 6%
C) 79%
D) 56%

Q2) 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

Q3) 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?

A) 6000
B) 5250
C) 6750
D) 6300

Q4) 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?

A) 94.7%
B) 89.5%
C) 93.4%
D) Cannot be determined from the given information

Answers

Q1: Option (A)
Q2: Option (A)
Q3: Option (A)
Q4: Option (A)

Solutions

As per CAT 2017 – Data Interpretation – Set,
Number of students from NE = 50*150 = 7500
Number of students from W = 50*250 = 12500
Number of students from S = 50*200 = 10000
55% are in G = 16500
37% are in P = 11100
8% did not go to school (O) = 2400

Q1 As per the table deduced from CAT 2017 – Data Interpretation – Set,
Total students in S = 10000
Students from S studying in P = 300 + 3400 = 3700
% = (3700/10000)*100 = 37%
Option (A) is the right answer

Q2 As per the table deduced from CAT 2017 – Data Interpretation – Set,
For W,
Kids whose mothers had completed primary education were not in school = 300
Option (A) is the right answer.


Q3 As per the table deduced from CAT 2017 – Data Interpretation – Set,
Initially, there were 2400 students who were not in school
Now, 1200 of them are in G
The only possibility is 50% of students in W
25% of students in NE
100% of students in S who were not going to school shifted to G.
So, 50% of W = (50/100)*1500 = 750
25% of NE = (25/100)*600 = 150
100% of S = (100/100)*300 = 300
Total = 1200
So, 4200 + 1050 + 750 = 6000 surveyed students were in G in W
Option (A) is the right answer.

Q4 As explained in the previous question, 300 students who were not going to school have now shifted to G.
Of the 5700 students whose mothers had dropped out in the S region, 5400 are in G.
The required percentage = (5400/5700)*100 = 94.7%
Option (A) is the right answer.

Download CAT 2017 Question Paper with answers and detailed solutions in PDF

CAT 2017 Questions from Data Interpretation

Data Interpretation – Set 1: At a management school, the oldest 10 dorms, numbered 1 to 10, need to be repaired urgently, The following diagram represents the estimated repair costs (in Rs. Crores) for the 10 dorms.
Data Interpretation – Set 2: An old woman had the following assets: Rs. 70 lakh in bank deposits
Data Interpretation – Set 3: Funky Pizzaria was required to supply pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which were to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2.
Data Interpretation – Set 4: There were seven elective courses – El to E7 – running in a specific term in a college.
Data Interpretation – Set 5: Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C).
Data Interpretation – Set 6: Applicants for the doctoral programmes of Ambi Institute of Engineering (AIE) and Bambi Institute of Engineering (BIE) have to appear for a Common Entrance Test (CET).

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