38. Assuming he continues to work for the city, at what age, in years, will he first qualify for full retirement benefits?

Answer: D

Explanation:

Larry will first qualify for full retirement benefits at age 63.

To qualify for full retirement benefits, Larry must be at least 63 years old, given that he has been employed for at least 25 years and the sum of his age and years employed must be at least 90 years.

A) 52

Choosing 52 is incorrect because Larry would not have been employed for the required 25 years by that age. If he started working at age 38, he would only be 52 after 14 years of employment, falling short of the minimum requirement.

B) 55

Option B is also incorrect. At age 55, Larry would have only been employed for 17 years. This does not meet the criteria of at least 25 years of employment necessary for qualifying for full retirement benefits.

C) 62

While 62 is a plausible age, it is incorrect for full retirement qualification. By this age, Larry would have been employed for 24 years, which is still one year short of the 25-year requirement needed to qualify.

D) 63

This is the correct answer. At age 63, Larry will have been employed for 25 years, satisfying both conditions of employment duration and the sum of his age and years employed being at least 90 years (63 + 25 = 88).

E) 64

Selecting 64 is not necessary since 63 is the first age at which he qualifies. Although 64 would also satisfy the requirements, it does not address the question of when he first qualifies.

Conclusion

The answer is definitively 63, as it aligns perfectly with both the employment duration and age requirements for full retirement benefits. All other options fail to meet one or both criteria, making them invalid choices.