Question
In a museum, five exhibits are displayed in the following order
Coins ?
Additionally
- Dinosaurs and coins are always kept next to each other
- Dinosaurs and fossils are always displayed together
- Paintings are always displayed before sculptures
Which of the following is displayed last?
Fossils
Paintings
Sculptures
Dinosaurs
Sun Mon Tue Wed Thu Fri Sat
Kim Sue Kim Kim Sue Kim Kim
Sue
Sue
Val works only when either Kim or Sue works, but not both. Mel can be scheduled only when either Sue or Val works
What is the maximum number of days for which Mel can be scheduled?
0
2
7
5
In an organization, all support staff members are in the administration Department. Some Directors are also in the administration Department.
Which of the following is always TRUE?
Some Administrations Department employees are Directors.
All Directors are Administrations Department employees.
Some Directors are also Support Staff.
Some Support Staff are also Directors.
Following is the rank priority among 5 steps (C, D, E, F and Y)
? F
Additionally,
- Steps E and F always come before Step Y
- Step C always comes before Step D
- C and D are not consecutives steps
Which step of the process should be carried out first?
Step Y
Step D
Step C
Step E
Sun Mon Tue Wed Thu Fri Sat
Nora Jane Jane Jane Jane Pierce Nora
Pierce Nora Pierce Nora
Greg is scheduled to work on any day that Nora or Jane works
How many days of the week have at least 2 employees scheduled?
1
2
4
6
The distance between Station X to Station Y is 180km. Trains A and B both start from Sation X, and run towards Station Y at the same time. Train A runs at 30km/hr. Train B runs at 20km/hr. Trains A reaches station Y at 2:00 pm. Assume the trains run non-stop between the two stations.
When will Train B reach Station Y?
At 11:00 pm
At 3:00 pm
At 5:00 pm
At 8:00 pm
The following is the priority order of 7 Steps (B, E, L, M, O, P, R)
? R B E ?
Additionally
- Steps P and O are before step B
- Step O is immediately after step R
- Steps B and L are before step M
What are the first and last steps, respectively?
Step O and step P
Step P and step M
Step M and step P
Step L and step M
Sun Mon Tue Wed Thu Fri Sat
Nat Lola Jodie Lola Jodie Lola Nat
Jodie Lola Lola Jodie
Lola Lola
Polly does not work on weekends. Tyler works only with Lola or Polly.
On how many days of the week can Tyler be scheduled?
7
2
3
4
A project team had 16 new hires and 9 experienced employees. 4 new hires can do the equivalent work of 3 experienced employees. Management replaced all experienced employees in the project team with the equivalent number of new hires.
What is the total size of the project team now?
25 people
28 people
19 people
23 people
The following is a breakdown of a college’s undergraduate students, with some information missing
Domestic International Total
Freshman 12 14 26
Junior ? 11
Total 50
How many domestic, Junior students are there at this college?
15
11
13
24
A project team had 16 new hires and 9 experienced employees. 4 new hires can do the equivalent work of 3 experienced employees. Management replaced all new hires in the project teams with the equivalent number of experienced employees.
How many more/fewer people are there in the project team now?
7 more people
21 fewer people
4 fewer people
12 fewer people
Coins ?
Additionally
- Dinosaurs and coins are always kept next to each other
- Dinosaurs and fossils are always displayed together
- Paintings are always displayed before sculptures
Which of the following is displayed last?
Fossils
Paintings
Sculptures
Dinosaurs
Sun Mon Tue Wed Thu Fri Sat
Kim Sue Kim Kim Sue Kim Kim
Sue
Sue
Val works only when either Kim or Sue works, but not both. Mel can be scheduled only when either Sue or Val works
What is the maximum number of days for which Mel can be scheduled?
0
2
7
5
In an organization, all support staff members are in the administration Department. Some Directors are also in the administration Department.
Which of the following is always TRUE?
Some Administrations Department employees are Directors.
All Directors are Administrations Department employees.
Some Directors are also Support Staff.
Some Support Staff are also Directors.
Following is the rank priority among 5 steps (C, D, E, F and Y)
? F
Additionally,
- Steps E and F always come before Step Y
- Step C always comes before Step D
- C and D are not consecutives steps
Which step of the process should be carried out first?
Step Y
Step D
Step C
Step E
Sun Mon Tue Wed Thu Fri Sat
Nora Jane Jane Jane Jane Pierce Nora
Pierce Nora Pierce Nora
Greg is scheduled to work on any day that Nora or Jane works
How many days of the week have at least 2 employees scheduled?
1
2
4
6
The distance between Station X to Station Y is 180km. Trains A and B both start from Sation X, and run towards Station Y at the same time. Train A runs at 30km/hr. Train B runs at 20km/hr. Trains A reaches station Y at 2:00 pm. Assume the trains run non-stop between the two stations.
When will Train B reach Station Y?
At 11:00 pm
At 3:00 pm
At 5:00 pm
At 8:00 pm
The following is the priority order of 7 Steps (B, E, L, M, O, P, R)
? R B E ?
Additionally
- Steps P and O are before step B
- Step O is immediately after step R
- Steps B and L are before step M
What are the first and last steps, respectively?
Step O and step P
Step P and step M
Step M and step P
Step L and step M
Sun Mon Tue Wed Thu Fri Sat
Nat Lola Jodie Lola Jodie Lola Nat
Jodie Lola Lola Jodie
Lola Lola
Polly does not work on weekends. Tyler works only with Lola or Polly.
On how many days of the week can Tyler be scheduled?
7
2
3
4
A project team had 16 new hires and 9 experienced employees. 4 new hires can do the equivalent work of 3 experienced employees. Management replaced all experienced employees in the project team with the equivalent number of new hires.
What is the total size of the project team now?
25 people
28 people
19 people
23 people
The following is a breakdown of a college’s undergraduate students, with some information missing
Domestic International Total
Freshman 12 14 26
Junior ? 11
Total 50
How many domestic, Junior students are there at this college?
15
11
13
24
A project team had 16 new hires and 9 experienced employees. 4 new hires can do the equivalent work of 3 experienced employees. Management replaced all new hires in the project teams with the equivalent number of experienced employees.
How many more/fewer people are there in the project team now?
7 more people
21 fewer people
4 fewer people
12 fewer people
Answers
GPT-4o mini
Let's solve each question one by one:
1. **Exhibit Order:**
According to the given rules:
- Dinosaurs and coins are next to each other.
- Dinosaurs and fossils are next to each other.
- Paintings are before sculptures.
Since coins must be next to dinosaurs and fossils must also be next to dinosaurs, the possible sequences that satisfy these conditions would likely have fossils and dinosaurs adjacent to each other, possibly in the form of: Coins - Dinosaurs - Fossils or Fossils - Dinosaurs - Coins.
Given that paintings must be before sculptures, we can conclude that the last item must be either sculptures or fossils, but since fossils are closer to coins (the first item), paintings must come first, followed by sculptures, and dinosaurs and coins must all be adjacent or intertwined. Thus:
- Last: **Sculptures**.
2. **Mel's Schedule:**
Kim and Sue's schedule provides the following breakdown:
- Sun: Kim (Mel works)
- Mon: Sue (Mel works)
- Tue: Kim (Mel works)
- Wed: Kim (Mel works)
- Thu: Sue (Mel works)
- Fri: Kim (Mel works)
- Sat: Kim (Mel works)
Mel can be scheduled when either Kim or Sue works, which is every day of the week. So, the maximum number of days Mel can be scheduled is: **7 days**.
3. **Understanding Department Roles:**
From the information given:
- All support staff members are in the administration department.
- Some directors are also in the administration department.
The only statement that is always true given these conditions is: **Some administrative department employees are directors.**
4. **Step Process Order:**
Based on the order mentioned:
- Steps E and F come before Y.
- Step C comes before D, and C and D are not consecutive.
From this, we can infer:
- The sequence can start with E, F then Y.
- C must come before D, but cannot be consecutive. Thus D must come after some gap.
Possibility may look like:
1. E
2. F
3. C
4. D (and possibly Y at the end).
The first step must be: **Step E.**
5. **Employee Days Scheduling:**
The weekly schedule indicates:
- Sun: 2 employees (Nora, no additional)
- Mon: 2 employees (Jane, Pierce)
- Tue: 3 employees (Jane and Nora)
- Wed: 2 employees (Jane, Pierce)
- Thu: 2 employees (Jane, Nora)
- Fri: 2 employees (Pierce)
- Sat: 2 employees (Nora)
The days with at least 2 employees scheduled: Mon, Tue, Wed, Thu, Fri, Sat = 6 days.
6. **Train Travel Time:**
Train A runs at 30 km/h and completes the distance of 180 km by 2:00 PM.
Time taken by Train A:
\[
\text{Time} = \frac{Distance}{Speed} = \frac{180 \text{ km}}{30 \text{ km/hr}} = 6 \text{ hours}
\]
Train A started at 8 AM (6 hours before 2 PM).
For Train B at 20 km/h:
\[
\text{Time} = \frac{180 \text{ km}}{20 \text{ km/hr}} = 9 \text{ hours}
\]
Therefore, Train B will reach at 8 AM + 9 hours = 5 PM.
7. **Step Priority Order:**
Given the order:
- P and O are before B.
- O is immediately after R.
- B and L are before M.
The constructed order would be:
R, O, P, B... therefore M follows B. The first step (R) and last step (M) would give: **Step R and step M.**
8. **Tyler's Schedule:**
Tyler can only work when Lola or Polly works.
- Lola works on Mon, Tue, Thu, Sat.
- Polly works on weekends.
Total days Tyler can work: Mon, Tue, Thu, Sat (4 days).
9. **Project Team Size after Replacement:**
Given:
- 4 new hires = 3 experienced employees,
For the initial team:
\[
\text{Total experienced employees equivalent to new hires} = \left(\frac{9}{3} \times 4\right) + 16 = 12 + 16 = 28 \text{ new hires}
\]
Therefore, the total size becomes: **28 people.**
10. **Junior Domestic Students:**
Total Freshman = 26.
Total Juniors = 50 - 26 = 24.
Since there are 11 international juniors, domestic juniors = 24 - 11 = 13.
So, the answers would be summarized as:
1. Sculptures
2. 7
3. Some administrative department employees are directors.
4. Step E
5. 6
6. 5 PM
7. Step R and step M
8. 4
9. 28 people
10. 13.
1. **Exhibit Order:**
According to the given rules:
- Dinosaurs and coins are next to each other.
- Dinosaurs and fossils are next to each other.
- Paintings are before sculptures.
Since coins must be next to dinosaurs and fossils must also be next to dinosaurs, the possible sequences that satisfy these conditions would likely have fossils and dinosaurs adjacent to each other, possibly in the form of: Coins - Dinosaurs - Fossils or Fossils - Dinosaurs - Coins.
Given that paintings must be before sculptures, we can conclude that the last item must be either sculptures or fossils, but since fossils are closer to coins (the first item), paintings must come first, followed by sculptures, and dinosaurs and coins must all be adjacent or intertwined. Thus:
- Last: **Sculptures**.
2. **Mel's Schedule:**
Kim and Sue's schedule provides the following breakdown:
- Sun: Kim (Mel works)
- Mon: Sue (Mel works)
- Tue: Kim (Mel works)
- Wed: Kim (Mel works)
- Thu: Sue (Mel works)
- Fri: Kim (Mel works)
- Sat: Kim (Mel works)
Mel can be scheduled when either Kim or Sue works, which is every day of the week. So, the maximum number of days Mel can be scheduled is: **7 days**.
3. **Understanding Department Roles:**
From the information given:
- All support staff members are in the administration department.
- Some directors are also in the administration department.
The only statement that is always true given these conditions is: **Some administrative department employees are directors.**
4. **Step Process Order:**
Based on the order mentioned:
- Steps E and F come before Y.
- Step C comes before D, and C and D are not consecutive.
From this, we can infer:
- The sequence can start with E, F then Y.
- C must come before D, but cannot be consecutive. Thus D must come after some gap.
Possibility may look like:
1. E
2. F
3. C
4. D (and possibly Y at the end).
The first step must be: **Step E.**
5. **Employee Days Scheduling:**
The weekly schedule indicates:
- Sun: 2 employees (Nora, no additional)
- Mon: 2 employees (Jane, Pierce)
- Tue: 3 employees (Jane and Nora)
- Wed: 2 employees (Jane, Pierce)
- Thu: 2 employees (Jane, Nora)
- Fri: 2 employees (Pierce)
- Sat: 2 employees (Nora)
The days with at least 2 employees scheduled: Mon, Tue, Wed, Thu, Fri, Sat = 6 days.
6. **Train Travel Time:**
Train A runs at 30 km/h and completes the distance of 180 km by 2:00 PM.
Time taken by Train A:
\[
\text{Time} = \frac{Distance}{Speed} = \frac{180 \text{ km}}{30 \text{ km/hr}} = 6 \text{ hours}
\]
Train A started at 8 AM (6 hours before 2 PM).
For Train B at 20 km/h:
\[
\text{Time} = \frac{180 \text{ km}}{20 \text{ km/hr}} = 9 \text{ hours}
\]
Therefore, Train B will reach at 8 AM + 9 hours = 5 PM.
7. **Step Priority Order:**
Given the order:
- P and O are before B.
- O is immediately after R.
- B and L are before M.
The constructed order would be:
R, O, P, B... therefore M follows B. The first step (R) and last step (M) would give: **Step R and step M.**
8. **Tyler's Schedule:**
Tyler can only work when Lola or Polly works.
- Lola works on Mon, Tue, Thu, Sat.
- Polly works on weekends.
Total days Tyler can work: Mon, Tue, Thu, Sat (4 days).
9. **Project Team Size after Replacement:**
Given:
- 4 new hires = 3 experienced employees,
For the initial team:
\[
\text{Total experienced employees equivalent to new hires} = \left(\frac{9}{3} \times 4\right) + 16 = 12 + 16 = 28 \text{ new hires}
\]
Therefore, the total size becomes: **28 people.**
10. **Junior Domestic Students:**
Total Freshman = 26.
Total Juniors = 50 - 26 = 24.
Since there are 11 international juniors, domestic juniors = 24 - 11 = 13.
So, the answers would be summarized as:
1. Sculptures
2. 7
3. Some administrative department employees are directors.
4. Step E
5. 6
6. 5 PM
7. Step R and step M
8. 4
9. 28 people
10. 13.