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Jiayi is designing a game that uses a peg board that contains an 11
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17 Apr 2024, 14:01
17 Apr 2024, 14:01
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Jiayi is designing a game that uses a peg board that contains an 11 by 11 rectangular array of peg holes. For design purposes she is modeling the positions of the peg holes on the board as the set of all points (a,b) in the standard (x,y) coordinate plane such that each of a and b is an integer between -5 and 5, inclusive. Set S consists of the rectangular array of those points in the model such that -5 ≤ a ≤ -2 and -3 ≤ b ≤ -2. Set T consists of the rectangular array of those points in the model such that 2 ≤ a ≤ 3 and -3 ≤ b ≤ 4.
Select for Least distance the least distance between a point in S and a point in T, and select for Greatest distance the greatest distance between a point in Sand a point in T. Make only two selections, one in each column.
Select for Least distance the least distance between a point in S and a point in T, and select for Greatest distance the greatest distance between a point in Sand a point in T. Make only two selections, one in each column.
| Least distance | Greatest distance | |
| \(4\) | ||
| \(\sqrt{17}\) | ||
| \(6\) | ||
| \(\sqrt{61}\) | ||
| \(\sqrt{98}\) | ||
| \(\sqrt{113}\) |
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Official Answer
Least distance: \(4\)
Greatest distance: \(\sqrt{113}\)
Jiayi is designing a game that uses a peg board that contains an 11
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17 Apr 2024, 14:08
17 Apr 2024, 14:08
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Bunuel wrote:
Jiayi is designing a game that uses a peg board that contains an 11 by 11 rectangular array of peg holes. For design purposes she is modeling the positions of the peg holes on the board as the set of all points (a,b) in the standard (x,y) coordinate plane such that each of a and b is an integer between -5 and 5, inclusive. Set S consists of the rectangular array of those points in the model such that -5 ≤ a ≤ -2 and -3 ≤ b ≤ -2. Set T consists of the rectangular array of those points in the model such that 2 ≤ a ≤ 3 and -3 ≤ b ≤ 4.
Select for Least distance the least distance between a point in S and a point in T, and select for Greatest distance the greatest distance between a point in Sand a point in T. Make only two selections, one in each column.
Select for Least distance the least distance between a point in S and a point in T, and select for Greatest distance the greatest distance between a point in Sand a point in T. Make only two selections, one in each column.
Check the image below:
The least distance between a point in S and a point in T is the length of the green line, which is 4 units.
The greatest distance between a point in S and a point in T is the length of the purple line, which is \(\sqrt{8^2 + 7^2} = \sqrt{113}\) units.
Re: Jiayi is designing a game that uses a peg board that contains an 11
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21 Apr 2024, 06:03
21 Apr 2024, 06:03
do these type of questions really come in the exam?
I've heard from a lot of Gmat test takers that the DI question are more logic based than pure math based and even in mocks we don't see questions like these
I've heard from a lot of Gmat test takers that the DI question are more logic based than pure math based and even in mocks we don't see questions like these
