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20 Nov 2020, 01:15
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A
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Difficulty:
55%
(hard)
Question Stats:
62% (01:54) correct
38%
(02:32)
wrong
based on 60
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Dodger’s stadium, which is rectangular in shape, currently has one parking lot that has a maximum capacity of 2000 cars. In order to accommodate the increased demand due to District Level games, the management plans to increase the capacity of the parking lot by adding one more parking lot – parking lot 2. Assuming the shape of the structure as shown in the figure, what is the ratio of the width of parking lot 2 (w2) to the width of parking lot 1(w1). Also assume that the height of both the triangular parking lots is same as the width of the rectangle and that the allowed spacing between the cars is same in both parking lots.
(1) After the addition of parking lot 2, the total parking capacity of the stadium is 6000 cars.
(2) The area of parking lot 1 is 10000 m^2
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Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
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20 Nov 2020, 01:45
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Explanation:
Given: Parking lot 1 capacity is 2000 cars
Height is same for both parking lots.
To find : ratio of the width of parking lot 2 (w2) to the width of parking lot 1(w1)
Statement 1: After the addition of parking lot 2, the total parking capacity of the stadium is 6000 cars.
Parking lot 2 space = 6000 - 2000 = 4000 cars
which is double than parking lot 1. Height cannot be change. we can find ratio of w2:w1.
Sufficient.
Statement 2: The area of parking lot 1 is 10000 m^2
Dont know any details about parking lot 2.
Not Sufficient
IMO-A
Given: Parking lot 1 capacity is 2000 cars
Height is same for both parking lots.
To find : ratio of the width of parking lot 2 (w2) to the width of parking lot 1(w1)
Statement 1: After the addition of parking lot 2, the total parking capacity of the stadium is 6000 cars.
Parking lot 2 space = 6000 - 2000 = 4000 cars
which is double than parking lot 1. Height cannot be change. we can find ratio of w2:w1.
Sufficient.
Statement 2: The area of parking lot 1 is 10000 m^2
Dont know any details about parking lot 2.
Not Sufficient
IMO-A
20 Nov 2020, 03:19
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IMO: A
Given, Lot1 capacity = 2,000 Cars
& he allowed spacing between the cars is same in both parking lots.
Statement 1
Lot1 + Lot2 = 6,000
Lot2 = 4000 cars
Know as the no. Of cars multiplied by a factor of spacing btw cars = area of Lot
Therefore, we can find ratio of areas of two lot which will eventually give the ratio of width of two lots as the height of lot is same
Statement 2
Only Parking area of Lot1 is given this leads to two unknown variables. hence, insufficient.
Given, Lot1 capacity = 2,000 Cars
& he allowed spacing between the cars is same in both parking lots.
Statement 1
Lot1 + Lot2 = 6,000
Lot2 = 4000 cars
Know as the no. Of cars multiplied by a factor of spacing btw cars = area of Lot
Therefore, we can find ratio of areas of two lot which will eventually give the ratio of width of two lots as the height of lot is same
Statement 2
Only Parking area of Lot1 is given this leads to two unknown variables. hence, insufficient.
21 Nov 2020, 00:07
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ANSWER IMO A
Area of PL1= 2000
PL2= 6000-2000=4000 (statement 1)
Area of triangle= (1/2)xbasexheight
where, height is same in both the cases = width of the rectangular stadium
So, w2/w1 = area of triangle (PL2) / area of triangle (PL1)
Statement 1 is sufficient!
Area of PL1= 2000
PL2= 6000-2000=4000 (statement 1)
Area of triangle= (1/2)xbasexheight
where, height is same in both the cases = width of the rectangular stadium
So, w2/w1 = area of triangle (PL2) / area of triangle (PL1)
Statement 1 is sufficient!
Bunuel
