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Column A: Number of square tiles needed to cover a space on a wall of 72” x 108”, using tiles that each has a perimeter of 36 inches.
Substitution is a very useful technique for solving GRE math problems. It often reduces hard problems to routine ones. In the substitution method,[link widoczny dla zalogowanych], we choose numbers that have the properties given in the problem and plug them into the answer-choices.
The intention of the math section is to test how expert you are at ruling the trouble-free solutions. The idea is that if you use a lot of time working out long solutions you will not come to an end as much of the test as students who spot the short,[link widoczny dla zalogowanych], effortless solutions. So if you find yourself performing long calculations or applying advanced mathematics then don’t do like this. Do the practice on GRE Math practice test.
During the course of a GRE,[link widoczny dla zalogowanych], you will probably find at least a few multiple-choice questions that you have no idea how to solve. You may practice such questions on GRE quantitative practice questions. Take a moment to look answer choices. Often two or three of them are absurd. Eliminate those and guess one of the others. Sometimes four of the choices are absurd. When this occurs,[link widoczny dla zalogowanych], your answer is no longer a guess.
The width can be bordered by 72/3 = 24 tiles, while the length can be bordered by 108/3 = 36 tiles. Don’t forget there are two lengths and two widths, for a total of 24 + 24 + 36 + 36 = 120 tiles. (You might also want to add another 4 tiles,[link widoczny dla zalogowanych], for the corners,[link widoczny dla zalogowanych], but it doesn’t make a difference for this problem). So, more 3” small tiles are needed for the border (120) than large 9” tiles for the area (96). If you had used 6” tiles for the area as the problem attempted to mislead you,[link widoczny dla zalogowanych], you would have needed 216 of them and mistakenly chosen A.
A The quantity in Column A is greater.
B The quantity in Column B is greater.
C The two quantities are equal,[link widoczny dla zalogowanych].
D The relationship cannot be determined from the information given,[link widoczny dla zalogowanych].
Let see one example here:
Read carefully – did you notice that the tiles specified in Column A had a perimeter of 36 inches,[link widoczny dla zalogowanych], while the tiles in Column B were specified using their area? This is especially easy to miss since 36 is a perfect square. For Column A,[link widoczny dla zalogowanych], the tiles have side length of 36/4 = 9”. You will need 72/9 = 8 tiles along the width, and 108/9 = 12 tiles along the length; (12)( Cool

= 96 tiles. Now, since the square border tiles have area of 9 square inches, they must have side length of 3”.
By Vinaykumar Singh
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Column B: Number of square tiles needed to make a rectangular border one tile wide around the outside of the same 72” x 108” space,[link widoczny dla zalogowanych], using tiles that each has an area of 9 square inches.
Author's Bio:
The math tested by the GRE mainly consists of junior high school level arithmetic, algebra and geometry. A number of the GRE problem solving questions will come in sets associated with a graph or graphs.
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