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27 Dec 2022, 09:00
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
23% (01:56) correct
77%
(02:01)
wrong
based on 31
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A paint can is in the shape of a right circular cylinder. A rectangular paper label of area 12 square units is pasted on the can as shown in the figure.If the label can be wrapped around the can only once with no extra paper hanging out, what is the curved surface area of the paint can?
(1) The center of the paper label is at a distance of 5 units each from the top and the bottom of the can
(2) The height of the can is five times the height of the paper label.
Attachment:
1.JPG [ 4.58 KiB | Viewed 2366 times ]
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
28 Dec 2022, 10:44
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To solve this, we need to visualize it.
A hint is dropped when they say, a rectangular paper label of area 12 square units is pasted on the can as shown in the figure.
The area of a rectangular area = Height * Width.
So all we need to know is a relation between the height of the can to the size (height) of the label.
Statement 1 The center of the paper label is at a distance of 5 units each from the top and the bottom of the can
Statement 1 just tells us that height of the can is 10 units but it does not give a comparison of the label.
Insufficient and we eliminate options A and D.
Statement 2 The height of the can is five times the height of the paper label.
Statement 2 gives us a comparison. So this is sufficient.
Sufficient and the answer is B.
A hint is dropped when they say, a rectangular paper label of area 12 square units is pasted on the can as shown in the figure.
- The curved surface area of the can is also a rectangular area.
The area of a rectangular area = Height * Width.
- Here, the label's width (which is the circumference of the can) is the same as the width of the cylinder.
We know the area of the label is 12 square units.
So all we need to know is a relation between the height of the can to the size (height) of the label.
Statement 1 The center of the paper label is at a distance of 5 units each from the top and the bottom of the can
Statement 1 just tells us that height of the can is 10 units but it does not give a comparison of the label.
Insufficient and we eliminate options A and D.
Statement 2 The height of the can is five times the height of the paper label.
Statement 2 gives us a comparison. So this is sufficient.
Sufficient and the answer is B.
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