7 Electives
(CAT 2017)
Further, the following are known:
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 However, before the start of the term, E7 was withdrawn as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
1.
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
(A) 4
(B) 1
(C) 2
D) 3
2.
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
(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
3.
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
(A) E1
(B) E2
(C) E3
(D) E6
4.
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
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
For Answers click here.
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