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The table gives information on 12 new home addition and renovation
[#permalink]
Updated on: 06 Jun 2024, 14:12
Updated on: 06 Jun 2024, 14:12
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Show timer
00:00
Difficulty:
45%
(medium)
Question Stats:
77% (02:56) correct
23%
(03:12)
wrong
based on 1432
sessions
The table gives information on 12 new home addition and renovation projects, in competition for inclusion in a television program featuring innovative styles. The producers of the program intend to make a selection based on one or more of the following criteria: city section (among a total of four), size in square feet of the project, cost of the project in dollars, and rating of innovativeness.
The following statements pertain to various possible selection criteria. Select Yes if the statement must be true on the basis of the given information; otherwise select No.
| Address | Builder | City section | Size (square ft) | Price (thousands) | Rating (out of 10) |
|---|---|---|---|---|---|
| 109 J | Pitts | SE | 200 | 167 | 9.2 |
| 1100 M | Pitts | NE | 125 | 195 | 8.4 |
| 120 G | Bildrite | SW | 800 | 60 | 6.2 |
| 1209 H | Bildrite | SW | 700 | 56 | 5.5 |
| 190 T | Dexter | SW | 1200 | 89 | 8.8 |
| 2755 Y | Pitts | SE | 345 | 135 | 8.75 |
| 34 S | Bildrite | SW | 450 | 12 | 7.2 |
| 459 R | Dexter | SW | 1900 | 96 | 8.5 |
| 512 G | Accurate | NW | 1400 | 120 | 9.2 |
| 5589 V | Accurate | NW | 140 | 79 | 7.1 |
| 670 N | Pitts | NE | 1350 | 190 | 9.8 |
| 7878 B | Pitts | SW | 1250 | 125 | 9.9 |
The following statements pertain to various possible selection criteria. Select Yes if the statement must be true on the basis of the given information; otherwise select No.
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| Yes | No | |
| If the 5 with the highest ratings are selected, then one builder and one city section will not be featured in the program. | ||
| Selecting the top 2 and bottom 2 by price leaves out exactly half of the city sections and half of the builders. | ||
| Selecting the top 3 and bottom 3 by square footage leaves out exactly one of the builders entirely. |
ShowHide Answer
Official Answer
If the 5 with the highest ratings are selected, then one builder and one city section will not be featured in the program.: No
Selecting the top 2 and bottom 2 by price leaves out exactly half of the city sections and half of the builders.: Yes
Selecting the top 3 and bottom 3 by square footage leaves out exactly one of the builders entirely.: Yes
Re: The table gives information on 12 new home addition and renovation
[#permalink]
19 Jan 2017, 21:47
19 Jan 2017, 21:47
4
Kudos
2
Bookmarks
S1:
Ratings: 9.9 , 9.8 , 9.2 , 9.2 , 8.8
Section: SW , NE , NW , SE , SW
Builder: P , P , A , P , D
Builder B is left out. So, NO.
S2:
Price: 195 , 190 , 56 , 12
Section: NE , NE , SW , SW
Builder: P , P , B , B
2 out of 4 builders are not selected and 2 out of 4 sections are not selected. So, YES.
S3:
Square footage: 1900 , 1400 , 1350 , 200 , 140 , 125
Section: Sw , NW , NE , SE , NW , NE
Builder: D , A , P , P , A , P
only Builder B is left out, So, YES.
Ratings: 9.9 , 9.8 , 9.2 , 9.2 , 8.8
Section: SW , NE , NW , SE , SW
Builder: P , P , A , P , D
Builder B is left out. So, NO.
S2:
Price: 195 , 190 , 56 , 12
Section: NE , NE , SW , SW
Builder: P , P , B , B
2 out of 4 builders are not selected and 2 out of 4 sections are not selected. So, YES.
S3:
Square footage: 1900 , 1400 , 1350 , 200 , 140 , 125
Section: Sw , NW , NE , SE , NW , NE
Builder: D , A , P , P , A , P
only Builder B is left out, So, YES.
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Joined: 02 Nov 2016
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Re: The table gives information on 12 new home addition and renovation
[#permalink]
06 Apr 2021, 01:47
06 Apr 2021, 01:47
Expert Reply
Official Explanation
Sorting the table by the "Rating" column, we see that there is one builder (Bildrite) with no project among the five highest-rated projects. But all four sections of the city are represented among these five projects, so all four sections would be featured in a program that included those five projects.
The correct answer is No.
Sorting the table by the "Price" column, we see that the two least expensive projects were both done by Bildrite in the SW section, whereas the two most expensive were both done by Pitts in the NE section. So selecting the top two and bottom two projects by price would include exactly two builders and two city sections. Since the whole table includes exactly four builders and four city sections, this selection leaves out exactly half the builders and half the city sections.
The correct answer is Yes.
Sorting the table by the "Size (square ft)" column, we see that exactly one builder (Bildrite) had no project among the top three or bottom three by square footage.
The correct answer is Yes.
Sorting the table by the "Rating" column, we see that there is one builder (Bildrite) with no project among the five highest-rated projects. But all four sections of the city are represented among these five projects, so all four sections would be featured in a program that included those five projects.
The correct answer is No.
Sorting the table by the "Price" column, we see that the two least expensive projects were both done by Bildrite in the SW section, whereas the two most expensive were both done by Pitts in the NE section. So selecting the top two and bottom two projects by price would include exactly two builders and two city sections. Since the whole table includes exactly four builders and four city sections, this selection leaves out exactly half the builders and half the city sections.
The correct answer is Yes.
Sorting the table by the "Size (square ft)" column, we see that exactly one builder (Bildrite) had no project among the top three or bottom three by square footage.
The correct answer is Yes.
