Discussion
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 ___
Answer: D
The maximum elective credit is 25.
The compulsory and minimum credits are fixed first:
\[ \begin{aligned} \text{core} + \text{project} + \text{min. spec.} &= 15+20+10 \\ &= 45 \end{aligned} \]
Electives are maximised by taking only the minimum specialization credit and enrolling for the largest total allowed, 70. That leaves 70 - 45 = 25 credits for electives. The total of 70 also satisfies the 60-credit minimum.
15 is what you get by working from the 60-credit minimum instead of the 70-credit maximum, and 10 and 20 leave allowed credits unused.
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