At a car dealership that sells only cars, trucks, and SUVs, the dealership's inventory has a ratio of 6 cars for

[BTGmoderatorDC]

At a car dealership that sells only cars, trucks, and SUVs, the dealership's inventory has a ratio of 6 cars for every 7 trucks for every 9 SUVs. Which of the following CANNOT represent the number of vehicles in the dealership's inventory?

A. 198
B. 242
C. 282
D. 308
E. 418


OA C

Source: Veritas Prep

[Scott@TargetTestPrep]

At a car dealership that sells only cars, trucks, and SUVs, the dealership's inventory has a ratio of 6 cars for every 7 trucks for every 9 SUVs. Which of the following CANNOT represent the number of vehicles in the dealership's inventory?

A. 198
B. 242
C. 282
D. 308
E. 418


OA C

Source: Veritas Prep

We are given that the ratio of cars to trucks to SUVs = 6x : 7x : 9x.

The sum of the vehicles in the car dealership is 6x + 7x + 9x = 22x. Thus, the number of vehicles must be a multiple of 22.

Of our answer choices, the only number that is not a multiple of 22 is 242.

Answer: B