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In the final semester, an engineering college offers three elective courses and one mandatory course. A student has to register for exactly three courses: two electives and the mandatory course. The registration in three of the four courses is: 45, 55 and 70. What will be the number of students in the elective with the lowest registration?
  • a)
    35
  • b)
    40
  • c)
    42
  • d)
    45
  • e)
    Either B or D
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
In the final semester, an engineering college offers three elective c...
The number of candidates registered for 3 of the 4 courses is 45, 55, and 70.
There are 2 cases.
70 can be the total number of students registered in an elective or the mandatory course.
Case (i):
70 students have registered in an elective.
Each student will choose 2 elective.
=> Total number of electives chosen = 2* total number of students.
45+55+70 = 2*number of students.
Number of students = 170/2 = 85.
In this case, at least 45 students would have selected an elective.
Case (ii):
70 students have registered in the mandatory class.
=> 45+55+x = 2*70
=> x =40.
As we can see, the number of students registered in an elective can be 40 or 45. Therefore, option E is the right answer.
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Most Upvoted Answer
In the final semester, an engineering college offers three elective c...
To find the number of students in the elective with the lowest registration, we need to understand the given information.

Given:
- There are three elective courses and one mandatory course.
- A student has to register for exactly three courses: two electives and the mandatory course.
- The registration in three of the four courses is: 45, 55, and 70.

Let's analyze the given information step by step.

Step 1: Identify the mandatory course registration
- The mandatory course registration is not given explicitly.
- However, since a student has to register for exactly three courses, we can assume that the remaining course (not mentioned in the given registrations) is the mandatory course.
- Therefore, the registration for the mandatory course can be assumed to be the remaining value after deducting the sum of the three given registrations from the total number of students in the college.

Step 2: Calculate the total number of students in the college
- The total number of students in the college can be calculated by summing up the registrations of the three given courses.
- Total = 45 + 55 + 70 = 170

Step 3: Calculate the registration for the mandatory course
- The registration for the mandatory course can be calculated by subtracting the sum of the three given registrations from the total number of students in the college.
- Mandatory Course Registration = Total - (Registration1 + Registration2 + Registration3)
- Mandatory Course Registration = 170 - (45 + 55 + 70) = 170 - 170 = 0

Step 4: Calculate the number of students in the elective with the lowest registration
- Since the registration for the mandatory course is 0, we can determine the number of students in the elective with the lowest registration by finding the minimum among the three given registrations.
- The minimum registration among 45, 55, and 70 is 45.
- Therefore, the number of students in the elective with the lowest registration is 45.

Hence, the correct answer is option 'E', i.e., Either B or D.
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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: Before the change process there were 6 more students in El than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in El. The number of students in E2 increased by 30 after the change process. Before the change process, E4 had 2 more students than E6, while E2 had 10 more students than E3Q.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 re­enroll for that elective.Which of the following is a correct sequence of electives in decreasing order of their final enrollments?

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: Before the change process there were 6 more students in El than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in El. The number of students in E2 increased by 30 after the change process. Before the change process, E4 had 2 more students than E6, while E2 had 10 more students than E3Q.After the change process, which course among El to E6 had the largest change in its enrollment as a percentage of its original enrollment?

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: Before the change process there were 6 more students in El than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in El. The number of students in E2 increased by 30 after the change process. Before the change process, E4 had 2 more students than E6, while E2 had 10 more students than E3Q.After the change process, which of the following is the correct sequence of number of students in the six electives El to E6?

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: Before the change process there were 6 more students in El than in E4, but after the reshuffle, the number of students in E4 was 3 more than that in El. The number of students in E2 increased by 30 after the change process. Before the change process, E4 had 2 more students than E6, while E2 had 10 more students than E3Q.How many elective courses among El to E6 had a decrease in their enrollments after the change process?

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In the final semester, an engineering college offers three elective courses and one mandatory course. A student has to register for exactly three courses: two electives and the mandatory course. The registration in three of the four courses is: 45, 55 and 70. What will be the number of students in the elective with the lowest registration?a)35b)40c)42d)45e)Either B or DCorrect answer is option 'E'. Can you explain this answer?
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