Final answer:
The correct recency requirements for a pilot to act as PIC require action within the previous two years and, to carry passengers, a minimum of three take-offs and landings in the past 90 days.
Step-by-step explanation:
The question pertains to recency requirements for pilots to act as Pilot in Command (PIC) as outlined by the Federal Aviation Administration (FAA). For a pilot to act as PIC without having to undergo a flight review, they must have acted as a PIC within the previous two years. This is specifically stated in the FAA's regulations concerning pilot currency. Additionally, if a pilot wishes to carry passengers, there is a requirement to have completed three take-offs and landings in the same category, class, and type (if required) of aircraft within the past 90 days, and these take-offs and landings must be to a full stop if carried out at night.
Regarding the options provided in the question: A) 2 years, 10 B) 3 years, 15 C) 4 years, 20 D) 5 years, 25; the closest option that partially aligns with the FAA's requirements is A) 2 years, but none of the options correctly state the number of take-offs and landings required (which is three, not 10). It must be noted that the exact figures in the question do not fully match the FAA's recency requirements, as only two years are necessary for the PIC currency, and three take-offs and landings are needed within 90 days, not six months, when carrying passengers.