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Intern
Joined: 20 Jun 2021
Posts: 21
Given Kudos: 152
WE:Manufacturing and Production (Manufacturing)
Each side of a cuboid is integer and their sum is 6 units.
[#permalink]
Updated on: 19 Sep 2021, 11:47
Updated on: 19 Sep 2021, 11:47
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Question Stats:
85% (00:38) correct
14% (00:32) wrong based on 7 sessions
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Each side of a cuboid is integer and their sum is 6 units.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Total surface area of the cuboid |
25 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Originally posted by Ahasunhabib999 on 19 Sep 2021, 11:23.
Last edited by Carcass on 19 Sep 2021, 11:47, edited 1 time in total.
Last edited by Carcass on 19 Sep 2021, 11:47, edited 1 time in total.
Formatted
Re: Each side of a cuboid is integer and their sum is 6 units.
[#permalink]
20 Sep 2021, 05:59
20 Sep 2021, 05:59
Let the sides be length(L),width(W) and height(H), so L+W+H = 6.
Area of cuboid = 2(LW + WH LH).
How many Integer solution is possible for L,W,H that satisfies L + W + H =6
There are just 3 {1,2,3},{1,1,4},{2,2,2}
Use this to calculate the area and we can see it's always less than 25.
So quantity B is larger. Answer is B)
Area of cuboid = 2(LW + WH LH).
How many Integer solution is possible for L,W,H that satisfies L + W + H =6
There are just 3 {1,2,3},{1,1,4},{2,2,2}
Use this to calculate the area and we can see it's always less than 25.
So quantity B is larger. Answer is B)
gmatclubot
Re: Each side of a cuboid is integer and their sum is 6 units. [#permalink]
20 Sep 2021, 05:59
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