GATE CS 2026 Set 1 Q4 — General Aptitude

Let the credits enrolled for core courses, project, specialization courses, and elective courses be represented by $C$, $P$, $S$, and $E$ respectively.

According to the given conditions:

• Total credits $T$ must satisfy: $60 \le T \le 70$
• Core courses: $C = 15$
• Project: $P = 20$
• Specialization courses: $S \ge 10$

The total credits $T$ is given by the sum of all components:

Substituting the fixed values of $C$ and $P$:

Since the maximum limit on total credits is $70$:

To maximize the elective credits $E$, we must minimize the specialization credits $S$. The minimum required credits for specialization courses is $S_{\text{min}} = 10$.

Substituting $S = 10$ into the inequality:

Thus, the maximum credits of elective courses that a student can enroll for is 25, which corresponds to option D.