Problem 30: the final math question. A word problem about a train passing a platform and a pole—classic. But she misread “pole” as “post” and started with the wrong formula. With 30 seconds left, she realized her error. No time to fix it. She left it blank. A silent victory. 5. The Afternoon – Humanities After a 90-minute break (she ate her chocolate and drank half a liter of water), the afternoon session began. Comprensión de Lectora: a dense text about the impact of guano exports on 19th-century Peruvian oligarchy. She underlined key phrases. The questions asked for implicit arguments—not just facts. She felt calm. Reading had always been her refuge.
Inside Pabellón H, row after row of desks. The proctor, a serious woman with reading glasses, said: “Silencio. Abran el cuadernillo solo cuando se indique.”
She walked out into the afternoon sun. The jacarandás were in bloom—purple flowers scattered on the grass. She didn’t know if she had passed. But for the first time, she felt she had fought every single problem, left no easy point behind, and survived the mental marathon. Two weeks later, at 10 a.m., she logged into the PUCP portal. Her hands were cold. The page loaded: examen de admision pucp
Then Ciencias Sociales : a mix of history, geography, and civic education. One question asked: “¿Qué presidente peruano nacionalizó la Brea y Pariñas?” Velasco, she knew. Another: “La corriente de Humboldt afecta principalmente a la…” Costa central. She answered without hesitation. The proctor announced: “Cinco minutos.” Sofía had already finished. She went back to the geometry problem she’d skipped. Stared at the triangle. Suddenly, she saw it: the altitude was the geometric mean of the two segments of the hypotenuse. She solved it in forty seconds. Bubble. Check. Erase a stray mark.
But problem 27 was a trap. A geometry problem: a triangle inscribed in a semicircle, with an altitude drawn, asking for a length. She knew the Thales theorem, but the numbers were ugly. She spent six minutes. Her pulse raced. She skipped it. Problem 28: probability with two dice— “suma mayor que 9” —she could do that. 10, 11, 12: 6 favorable cases out of 36. Simplify to 1/6. Good. Problem 30: the final math question
Problem 29: a system of equations with three variables and a parameter m . She started substituting, but her mind went blank. “Si el sistema tiene infinitas soluciones, halle m.” She remembered: the determinant of the coefficient matrix must be zero. She calculated quickly. m = 2 . She bubbled D.
Aptitud Académica: 412 Matemáticas: 398 Ciencias Sociales y Lectura: 427 Resultado: INGRESANTE – Facultad de Ciencias Sociales With 30 seconds left, she realized her error
Sofía smiled. The exam had tried to break her. But in the end, it was just another problem—and she had found the solution.