GATE CS 2026 Set 1 — Question 4
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Question
A student needs to enroll for a minimum of 60 credits. A student cannot enroll for more than 70 credits. The credits are divided amongst project and three distinct sets of courses namely, core courses, specialization courses, and elective courses. It is compulsory for a student to enroll for exactly 15 credits of core courses and exactly 20 credits of project. In addition, a student has to enroll for a minimum of 10 credits of specialization courses. The maximum credits of elective courses that a student can enroll for is ______
Correct answer
(D) 25
Solution
Let be the total credits, be core credits, be project credits, be specialization credits, and be elective credits.Given constraints:
Substituting the fixed values: .We want to find the maximum value of .
Rearranging the equation for : .To maximize , we should maximize and minimize .
.Thus, the maximum credits of elective courses a student can enroll for is 25.
1.
2.
3.
4.
We know that .Substituting the fixed values: .We want to find the maximum value of .
Rearranging the equation for : .To maximize , we should maximize and minimize .
- Maximum .
- Minimum .
.Thus, the maximum credits of elective courses a student can enroll for is 25.
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