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08 Mar 2022, 11:33
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A
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35%
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Question Stats:
80% (02:25) correct
20%
(02:30)
wrong
based on 122
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In a certain parking lot, 36% of the vehicles are non-functional trucks. If 40% of the non-functional vehicles are not trucks, what percent of the vehicles in the parking lot are functional?
A) 40
B) 45
C) 50
D) 55
E) 60
A) 40
B) 45
C) 50
D) 55
E) 60
09 Mar 2022, 00:59
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Let the total number of vehicles be 100.
we have 4 options, 1. Non Functional trucks 2. Non Functional other vehicles 3. Functional trucks 4. Functional other vehicles.
and as we know, 36% of the vehicles are non-functional trucks, => NFT's = 36
we also know that 40% of the non-functional vehicles are not trucks => 60% of non-functional vehicles are NFT's => Total non-functional vehicles are 36/60% = 60
So, no the functinal vehicles are 100-60=40
total vehicles are 100 => 40/100*100 = 40%
(A)
we have 4 options, 1. Non Functional trucks 2. Non Functional other vehicles 3. Functional trucks 4. Functional other vehicles.
and as we know, 36% of the vehicles are non-functional trucks, => NFT's = 36
we also know that 40% of the non-functional vehicles are not trucks => 60% of non-functional vehicles are NFT's => Total non-functional vehicles are 36/60% = 60
So, no the functinal vehicles are 100-60=40
total vehicles are 100 => 40/100*100 = 40%
(A)
09 Mar 2022, 10:45
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BrentGMATPrepNow
In a certain parking lot, 36% of the vehicles are non-functional trucks. If 40% of the non-functional vehicles are not trucks, what percent of the vehicles in the parking lot are functional?
A) 40
B) 45
C) 50
D) 55
E) 60
A) 40
B) 45
C) 50
D) 55
E) 60
One approach is to use the Double Matrix Method. This technique can be used for questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions).
Here, we have a population of vehicles, and the two characteristics are:
- truck or not a truck
- functional or non-functional
Since we are given information the form of percentages, and since the question asks us to find a certain percent, let's assign a nice value to the number of vehicles in the parking lot.
Let's say there are 100 vehicles in total.
If 36% of the vehicles are non-functional trucks, then the number of non-functioning trucks = 36% of 100 = 36.
Let's add this information to our diagram:
Given: 40% of the non-functional vehicles are not trucks
Since we don't know the total number of non-functioning vehicles, let's let x = the total number of non-functioning vehicles
This means 0.4x = the number of non-functional vehicles that are not trucks
Add this information to our diagram to get:
Since the two boxes in the right-hand column must add to x, we can write: 36 + 0.4x = x
Subtract 0.4x from both sides of the equation: 36 = 0.6x
Solve: x = 36/0.6 = 360/6 = 60
This means that 60 the 100 vehicles are non-functional, which tells us the remaining 40 vehicles are functional
Answer: A
This question type is very common on the GMAT, so be sure to master the technique.
To learn more about the Double Matrix Method, watch this video:
EXTRA PRACTICE QUESTION
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MEDIUM: https://gmatclub.com/forum/in-a-certain ... 21716.html
HARD: https://gmatclub.com/forum/a-group-of-2 ... 24888.html
KILLER: https://gmatclub.com/forum/a-certain-hi ... 32899.html
