Entry Exam Category: High School Equivalency Exams
Course: HiSET
Exam: HiSET Math Practice Test
Practice Question
The number of years the employee has been employed by the city is at least 25 years. The sum of the employee's age and number of years employed by the city is at least 90 years. Larry has been employed by the city since his 38th birthday. Assuming he continues to work for the city, at what age will he first qualify for full retirement benefits?
Answer Choices
- A: 52
- B: 55
- C: 62
- D: 63
- E: 64
Correct Answer: E
Rationale: Let y be years employed, a be age. Conditions: y ≥ 25, a + y ≥ 90. Larry started at age 38, so at age a, y = a - 38. Substitute: a + (a - 38) ≥ 90, or 2a - 38 ≥ 90, 2a ≥ 128, a ≥ 64. Also, a - 38 ≥ 25, a ≥ 63. Minimum a = 64. Options: 52, 55, 62, 63, 64. E correct.