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19 Jan 2022, 09:59
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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:
30% (01:24) correct
70%
(01:19)
wrong
based on 105
sessions
History
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Not Attempted Yet
How many cylindrical cans with a radius of 2 inches and a height of 6 inches can fit into a rectangular box?
(1) The volume of the box is 230 cubic inches
(2) The length of the box is 3 inches
(1) The volume of the box is 230 cubic inches
(2) The length of the box is 3 inches
19 Jan 2022, 14:32
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Bunuel
Breaking Down the Info:
To answer this question, we will need the full dimensions of the rectangular box. For example, a 2 by 2 base will allow only one can at a time. If we increase this to a 3.5 by 3.5 base, we could put in 2 cylinders diagonally. Then a 4 by 4 base would allow 4 cans packed together. Therefore we would have to know the exact dimensions in order to confirm how many cans we can fit in.
Statement 1 Alone:
We have the volume, so we only need two values among length, width, and height for the full dimensions. Alone this is insufficient.
Statement 2 Alone:
Insufficient.
Both Statements Combined:
We can only figure out width*height = \(\frac{230}{3}\), but not a precise value of either variable, so combined this is insufficient.
Answer: E
Bonus: If we had length = 1.5 this would be sufficient alone (the answer would be B) as we cannot fit in a single cylinder in the box.
29 Jan 2022, 06:48
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Bunuel
(1) The volume of the box is \(230\) cubic inches
This statement is clearly INSUFF. as there can be various combinations of L*B*H hence different number of cylindrical cans can be accomodated.
(2) The length of the box is \(3\) inches
Longest portion of the box i.e. length, is \(3\) inches which means all other sides i.e. width and height are either \(3\) or less than \(3\). Which means the CAN's that have a diameter of \(4\) inches and height of \(6\) inches CANNOT fit in the box in any kind of position. Hence the answer is ZERO number of CANS.
SUFF.
Ans B
Hope it's clear.
