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19 Nov 2021, 02:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
87% (01:02) correct
13%
(00:56)
wrong
based on 76
sessions
History
Date
Time
Result
Not Attempted Yet
If a certain parking lot contains 40 motor vehicles, how many of the vehicles are red trucks?
(1) Of the motor vehicles in the parking lot, 20 percent are painted red.
(2) Of the motor vehicles in the parking lot, 15 are trucks.
(1) Of the motor vehicles in the parking lot, 20 percent are painted red.
(2) Of the motor vehicles in the parking lot, 15 are trucks.
19 Nov 2021, 08:01
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Bunuel
Given: A certain parking lot contains 40 motor vehicles
Target question: How many of the vehicles are red trucks?
When I scan the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the target question. So, I’m going to head straight to……
Statements 1 and 2 combined
For this question, we can use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions).
Here, we have a population of motor vehicles, and the two characteristics are:
- truck or not a truck
- red or not red
Aside: We can also use Venn diagrams and formulae to solve overlapping sets questions. However, as difficulty levels increase, it becomes harder to apply those other approaches, whereas the Double Matrix Method works every time.
When we add all of the given information to our matrix we get:
Since we don't have the value inside of any of the 4 boxes, there's no way to complete the matrix.
For example, our matrix could look something like this...
...in which case, the answer to the target question is there are 5 red trucks in the parking lot
Or our matrix could look something like this...
...in which case, the answer to the target question is there are 6 red trucks in the parking lot
Since we can’t answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
VIDEO ON THE DOUBLE MATRIX METHOD
19 Nov 2021, 08:21
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We have 8 red things and 15 trucks, and 40 things in total. There's no way from just that information to work out how many red trucks there are -- it could be any number from 0 up to 8.
