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Nums99
Joined: 12 Jan 2019
Last visit: 18 Mar 2022
Posts: 88
Given Kudos: 211
Location: India
Concentration: Finance, Technology
Schools: Rotman '23 Desautels '23 Alberta University
E
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Difficulty:
95%
(hard)
Question Stats:
35% (01:50) correct
65%
(01:42)
wrong
based on 110
sessions
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In kitchen pantry, cans are stacked on the circular ends to create a vertical tower. The height of each can is equal to its diameter. How many cans are stacked?
(1) The height of the resulting vertical tower is 36 inches.
(2) The lateral surface area of the bottom can is 24π square inches.
(1) The height of the resulting vertical tower is 36 inches.
(2) The lateral surface area of the bottom can is 24π square inches.
10 Oct 2020, 09:58
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Since we don't know whether all cans are identical and no info is given about cans except the bottom one in either of the statement, it's E right away.
Nums99
10 Oct 2020, 10:21
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Nums99
You would never see a question like this on the GMAT. "Lateral surface area" is a phrase you'd never need to know on the test. I have a Masters in mathematics and I had to look it up. The "lateral surface area" of a cylinder is apparently the surface area ignoring the two circular ends -- it's just the area of the part that wraps around the outside. Since the height of a can equals its diameter, Statement 2 lets us find the height of the bottom can. It turns out that it's impossible, with the numbers in both Statements, to make a tower as described unless the cans are different sizes, and if you don't even know the cans are all the same size, of course the answer is E, but since it's so clearly an unofficial problem, I wasn't sure whether the question meant to say that the cans were the same (which is a natural thing to assume). Where is the question from?
