Which of the following statements must be true

Which of the following statements must be true? I. The product of first 100 prime numbers is even. II. The sum of first 100 prime numbers is odd. III. The sum of first five non-negative even numbers is divisible by both 4 and 5.

This problem repeats another one in the library (at most with different numbers), so it's left out of browsing.

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #73987