Sentence 1: Under traditional payment processes, certifying officers reviewed all invoices they authorized for payment.

Sentence 2: Officers do not review any invoices
Is this second sentence entailed by the first?

Answer: no

Sentence 1: Unconventionally gifted kids, who didn't get top grades in high school or who don't have perfect SAT scores, stand a better chance than they do elsewhere of getting in--and of being presented with the highest level of intellectual challenge.

Sentence 2: Here, kids who are gifted despite not getting the best high school grades or SAT scores are more likely to both get in and be challenged intellectually as best as possible.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: However, senior executives at leading organizations recognize that the financial information demanded by decisionmakers to measure and manage performance requires greater precision and more timely access than that required to receive an unqualified opinion on the entity's financial statements.

Sentence 2: Measuring performance is not a quick and easy process.
Is this second sentence entailed by the first?

Answer:
yes