# Data Interpretation – Set – There were seven elective courses

## DILR – Data Interpretation – Set

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

There were seven elective courses – El to E7 – running in a specific term in a college. Each of the 300 students enrolled had chosen just one elective from among these seven. However, before the start of the term, E7 was withdrawn as the instructor concerned had left the college. The students who had opted for E7 were allowed to join any of the remaining electives. Also, the students who had chosen other electives were given one chance to change their choice. The table below captures the movement of the students from one elective to another during this process. Movement from one elective to the same elective simply means no movement. Some numbers in the table got accidentally erased; however, it is known that these were either 0 or 1.

Further, the following are known:

1. Before the change process there were 6 more students in E1 than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in E1.

2. The number of students in E2 increased by 30 after the change process.

3. Before the change process, E4 had 2 more students than E6, while E2 had 10 more students than E3.

## Questions

Q1) How many elective courses among E1 to E6 had a decrease in their enrollments after the change process?
A) 4
B) 1
C) 2
D) 3

Q2) After the change process, which of the following is the correct sequence of number of students in the six electives El to E6?
A) 19, 76, 79, 21, 45, 60
B) 19, 76, 78, 22, 45, 60
C) 18, 76, 79, 23, 43, 61
D) 18, 76, 79, 21, 45, 61

Q3) After the change process, which course among El to E6 had the largest change in its enrollment as a percentage of its original enrollment?
A) E1
B) E2
C) E3
D) E6

Q4) Later, the college imposed a condition that if after the change of electives, the enrollment in any elective (other than E7) dropped to less than 20 students, all the students who had left that course will be required to re-enroll for that elective.
Which of the following is a correct sequence of electives in decreasing order of their final enrollments?

A) E2, E3, E6, E5, El, E4
B) E3, E2, E6, E5, E4, El
C) E2, E5, E3, El, E4, E6
D) E2, E3, E5, E6, El, E3

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

## Solutions

As per CAT 2017 – Data Interpretation – Set, we can see that
The remaining blanks can only be 0 or 1.
Based upon the conditions, we get the following solution:

Q1
As per the table above from CAT 2017 – Data Interpretation,
Courses that decreased in their enrollments after the change process are E1 and E4.
Option (C)

Q2
As per the table above from CAT 2017 – Data Interpretation, option (D) is the correct answer.

Q3
As per the table above from CAT 2017 – Data Interpretation,
% change in E6 is the maximum as it is going from 23 to 61, more than 2.5 times the original.
Option (D)

Q4
As per the table above from CAT 2017 – Data Interpretation,
Number of enrollments would change because no movement from E1 would be allowed. New numbers for E1 to E6 would be:
31
71
69
20
41
59
So, the decreasing order would be E2 E3 E6 E5 E1 E4
(Option A)

## 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: 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 5: 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).
Data Interpretation – Set 6: 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).

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