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08 Jul 2017, 05:48
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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
A. 198
B. 242
C. 282
D. 308
E. 418
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08 Jul 2017, 06:22
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Bunuel
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
A. 198
B. 242
C. 282
D. 308
E. 418
Since Car : Truck : SUV is 6: 7: 9 any option which is not a multiple of 22 will be the winner
Option C here
08 Jul 2017, 18:22
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Bunuel
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
The ratio of cars to trucks to SUVs is 6x:7x:9x. Assume x = 1, total is at least 6 + 7 + 9 = 22 vehicles. To keep the ratio, the number of vehicles in the dealer's inventory must be divisible by 22. AND,A. 198
B. 242
C. 282
D. 308
E. 418
22 = 11*2, so the answer also has to be divisible by 11.
Divisibility rule for 11: sum every second digit, then subtract the sum of the other digits. If result is 0 or a multiple of 11, the number is divisible by 11.
A. 198: 9 - (8+1) = 0. Keep
B. 242: 4 - (2+2) = 0. Keep
C. 282: 8 - (2+2) = 4. Reject. 4 is not divisible by 11.
D. 308: 0 - (3+8) = -11. Keep
E. 418: 1 - (4+8) = -11. Keep
Answer C
