PSAT Math Multiple-Choice Question 389: Answer and Explanation

Question: 389

	Cars	Trucks	SUVs	Total
No Service	39	20	13	72
Rotate	48	36	60	144
Replace	7	8	17	32
Total	94	64	90	248

When a consumer gets an oil change for a vehicle, the service technician typically checks the tread depth and wear condition of the tires. The technician then recommends one of the following: no service needed, rotate tires, or replace one or more tires. The table above shows one technician's recommendations for the month of June. For what fraction of cars and trucks did this technician recommend a tire rotation?

• A.
• B.
• C.
• D.

Correct Answer: B

Explanation:

B

Difficulty: Easy

Getting to the Answer: The question asks only about cars and trucks, so ignore the column for SUVs. The technician recommended a tire rotation for 48 cars and 36 trucks (a total of 84) out of the 94 + 64 = 158 cars and trucks that he serviced. This represents of the cars and trucks, making (B) correct.