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01 Feb 2025, 19:25
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First floor: The Human Resources Department only
Third floor: The Finance and Information Technology departments only
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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71% (03:18) correct
29%
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wrong
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Syscorp occupies three floors of an office building, the first floor, the second floor, which is immediately above the first floor, and the third floor, which is immediately above the second floor, but no other floors. These three floors house only the following corporate departments: Administrative, Finance, Human Resources, Information Technology, Legal, and Marketing. Each department is on exactly one floor, and each floor houses at least one department. Exactly three of the departments are on the second floor. The Legal and Administrative departments are both on the floor immediately below the Finance department. The Human Resources department is on the floor immediately below the Marketing department.
In the table select for First Floor an allocation of departments to the first floor and for Third Floor an allocation of departments to the third floor such that the two allocations are jointly compatible with the information provided. Make only two selections, one in each column.
In the table select for First Floor an allocation of departments to the first floor and for Third Floor an allocation of departments to the third floor such that the two allocations are jointly compatible with the information provided. Make only two selections, one in each column.
| First floor | Third floor | |
| The Finance and Information Technology departments only | ||
| The Finance and Marketing departments only | ||
| The Legal and Administrative departments only | ||
| The Human Resources Department only | ||
| The Legal, Administrative, and Marketing departments only |
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Official Answer
First floor: The Human Resources Department only
Third floor: The Finance and Information Technology departments only
03 Feb 2025, 08:57
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There are 3 floors with 6 departments. Exactly 3 departments must be on Floor 2.
This means Floors 1 and 3 together have 3 departments. Since every floor must have at least one department, one of these floors must have 1 department and the other must have 2.
Rules to Follow:
Rule 1: The Legal and Administrative departments must be immediately below the Finance department.
Rule 2: The Human Resources department must be immediately below the Marketing department.
Considering the Options:
Option D ("HR only") is the only choice with 1 department.
The 2-department options are A, B, and C.
Testing One Possibility:
Assign First Floor: Option D → HR only.
Then, the remaining 2-department option must go to the Third Floor.
Try Option A for Third Floor ("Finance and Information Technology only"):
Third Floor: Finance (F) and Information Technology (IT).
That leaves the departments for Floor 2 as: Administrative (A), Legal (L), and Marketing (M).
Checking the rules:
Since Finance is on Floor 3, the floor immediately below (Floor 2) must have both Legal and Administrative.
→ Floor 2 has A and L.
Since Marketing is on Floor 2, the floor immediately below (Floor 1) must have Human Resources.
→ Floor 1 has HR.
Both rules are satisfied.
So it should be:
First Floor: Human Resources only.
Third Floor: Finance and Information Technology only.
This means Floors 1 and 3 together have 3 departments. Since every floor must have at least one department, one of these floors must have 1 department and the other must have 2.
Rules to Follow:
Rule 1: The Legal and Administrative departments must be immediately below the Finance department.
Rule 2: The Human Resources department must be immediately below the Marketing department.
Considering the Options:
Option D ("HR only") is the only choice with 1 department.
The 2-department options are A, B, and C.
Testing One Possibility:
Assign First Floor: Option D → HR only.
Then, the remaining 2-department option must go to the Third Floor.
Try Option A for Third Floor ("Finance and Information Technology only"):
Third Floor: Finance (F) and Information Technology (IT).
That leaves the departments for Floor 2 as: Administrative (A), Legal (L), and Marketing (M).
Checking the rules:
Since Finance is on Floor 3, the floor immediately below (Floor 2) must have both Legal and Administrative.
→ Floor 2 has A and L.
Since Marketing is on Floor 2, the floor immediately below (Floor 1) must have Human Resources.
→ Floor 1 has HR.
Both rules are satisfied.
So it should be:
First Floor: Human Resources only.
Third Floor: Finance and Information Technology only.
visheshr
11 Apr 2025, 21:31
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1. The question asks us to assess the scenarios and decide which pair can jointly coexist.
2. Some first observations/restrictions are: Legal, Administrative, Human Resources have to be on the 1st or 2nd floors, Finance, Marketing have to be on the 2nd or 3rd floors, and the 1st/3rd floors cannot have 3 or more departments.
3. Now let's look at each case separately:
- The Finance and Information Technology departments only. If this were to be true, then these departments would have to be on the third floor. So, Legal and Administrative are on the second floor. In addition, Marketing would have to be on the second floor and Human Resources on the first.
- The Finance and Marketing departments only. These can't be on the first floor and so must be on the third. Then, Legal, Administrative, and Human Resources are all on the second floor. Finally, Information Technology is left for the first floor.
- The Legal and Administrative departments only. These have to be on the first floor, and as a result, Finance is on the second floor. Human Resources can only go on the second floor with Marketing on the third. That leaves Information Technology on the second floor.
- The Human Resources Department only. This has to go on the first floor, and as a result, Marketing is on the second floor. Legal and Administrative both can't go on the first, so they must both go on the second floor with Finance on the third. Finally, Information Technology is on the third floor.
- The Legal, Administrative, and Marketing departments only. All three can only coexist on the second floor, however, only the first and third floors are given as options. So, this is impossible.
4. In conclusion, the 1st and 4th cases give us exactly the same end scenarios, which means both can coexist.
5. Our answer will be: First floor - The Finance and Information Technology departments only and Third floor - The Human Resources Department only.
2. Some first observations/restrictions are: Legal, Administrative, Human Resources have to be on the 1st or 2nd floors, Finance, Marketing have to be on the 2nd or 3rd floors, and the 1st/3rd floors cannot have 3 or more departments.
3. Now let's look at each case separately:
- The Finance and Information Technology departments only. If this were to be true, then these departments would have to be on the third floor. So, Legal and Administrative are on the second floor. In addition, Marketing would have to be on the second floor and Human Resources on the first.
| 1 | 2 | 3 | |
| Finance | o | ||
| Information Technology | o | ||
| Legal | o | ||
| Administrative | o | ||
| Marketing | o | ||
| Human Resources | o |
- The Finance and Marketing departments only. These can't be on the first floor and so must be on the third. Then, Legal, Administrative, and Human Resources are all on the second floor. Finally, Information Technology is left for the first floor.
| 1 | 2 | 3 | |
| Finance | o | ||
| Information Technology | o | ||
| Legal | o | ||
| Administrative | o | ||
| Marketing | o | ||
| Human Resources | o |
- The Legal and Administrative departments only. These have to be on the first floor, and as a result, Finance is on the second floor. Human Resources can only go on the second floor with Marketing on the third. That leaves Information Technology on the second floor.
| 1 | 2 | 3 | |
| Finance | o | ||
| Information Technology | o | ||
| Legal | o | ||
| Administrative | o | ||
| Marketing | o | ||
| Human Resources | o |
- The Human Resources Department only. This has to go on the first floor, and as a result, Marketing is on the second floor. Legal and Administrative both can't go on the first, so they must both go on the second floor with Finance on the third. Finally, Information Technology is on the third floor.
| 1 | 2 | 3 | |
| Finance | o | ||
| Information Technology | o | ||
| Legal | o | ||
| Administrative | o | ||
| Marketing | o | ||
| Human Resources | o |
- The Legal, Administrative, and Marketing departments only. All three can only coexist on the second floor, however, only the first and third floors are given as options. So, this is impossible.
4. In conclusion, the 1st and 4th cases give us exactly the same end scenarios, which means both can coexist.
5. Our answer will be: First floor - The Finance and Information Technology departments only and Third floor - The Human Resources Department only.
