Ckriman/General365_Public huggingface dataset:
Question: On the Lost Archipelago, five mysterious beacons labeled L1 through L5 emit light in a fixed, repeating sequence: L1 → L2 → L3 → L4 → L5 → L1. The L5 beacon is known as the Homeward Beacon and is the ultimate navigational target for sailors. However, among the five beacons, only one always tells the truth-this is the True Beacon-while the other four always lie.

An experienced sailor recorded the messages from four consecutive beacons observed during the voyage. The first beacon stated: "The previous beacon that emitted light was L4, and the next beacon to shine will not be the True Beacon." The second beacon claimed: "This beacon is either the True Beacon or the Homeward Beacon." The third beacon declared: "This is L2, or the previous beacon that emitted light was not the Homeward Beacon." Finally, the fourth beacon said: "Exactly one beacon will shine before the Homeward Beacon emits light."

Given that the True Beacon for the entire archipelago is Lm, and the actual identity of the third beacon recorded by the sailor is Ln, determine the value of m × n.
Answer: \boxed{5}
Question: Given the sequence:  
5, 10, 25, 18, 50, 32, 25, 40, ( ? )  

What number should fill the parentheses?  
(It is known that the sequence contains only the given numbers.)
Answer: \boxed{45}
Question: Given the sequence:
3, 9, 4, 20, 16, 11, ( ? )

What number should fill the parentheses?
(It is known that the sequence contains only the given numbers.)
Answer: \boxed{17}
Question: Given the sequence:  
5, 12, 20, 1, 42, 41, 22, 30, ( ? )  

What number should fill the parentheses?  
(It is known that the sequence contains only the given numbers.)
Answer: \boxed{37}
Question: In a large factory, every piece of equipment undergoes an annual routine inspection. Two senior engineers, Li and Zhao, each schedule inspections for different sets of equipment.

One day, Li says to Zhao:
"If we could just skip to the first of next month, I wouldn't have to wait - because then my equipment would be inspected tomorrow!"

Zhao smiles and replies:
"If that were true, then I wouldn't have to start preparing a day early for my inspection either."

Suppose Li's inspection date is month a, day b, and Zhao's inspection date is month c, day d.
How many possible values can the absolute difference |b − d| take?
Answer: \boxed{30}
Question: At a company, Anna and Bella joined in the same year. The company holds a small celebration on each employee's joining anniversary, and the employee gives a short speech.

One morning at work, Anna looks at the calendar and says:
"If I could just skip to the first day of next month, that would be great - because then my anniversary celebration would be tomorrow!"

Bella then replies:
"If what you say is true, then I wouldn't have to draft my speech a day in advance either."

Suppose Anna joined on month a, day b, and Bella joined on month c, day d.
How many possible values can the absolute difference |b − d| take?
Answer: \boxed{30}
Question: Two colleagues, Wang and Liu, each are responsible for a new project at the same company, and both projects are scheduled to launch sometime this year.
One morning at work, Wang says:
"If time could instantly jump to the first day of next month, that would be perfect - because then my project would launch tomorrow."

Liu responds:
"If that were possible, then my project would be launching today, so I wouldn't need to do any one-day-early preparation for it."

Suppose Liu's project launches on day n of month m, and Wang's project launches on day y of month x.
How many possible values can |n − y| take?
Answer: \boxed{30}
Question: Amy sees a string of letters made from seashells on the beach:

erhsawobsemetsesotit

She finds it romantic, and later discovers that it is an English proverb formed using only these letters, with no letters added or removed (the proverb can be obtained by rearranging the letters and grouping them into words).

What is the proverb?
Answer: east or west home is best
Question: An entrepreneur uses the following string of letters as his computer password:

sgftroayoyslhtiuasnyn

He knows that it conceals a famous quote from a speech, formed using only these letters, with no letters added or removed (the quote can be obtained by rearranging the letters and grouping them into words).

What is the quote?
Answer: stay hungry stay foolish
Question: A teacher sets a word puzzle for the students. On the paper appears the string of letters:

kleoneiwodsewgpr

The hint is that it represents an old proverb formed using only these letters, with no letters added or removed (the proverb can be obtained by rearranging the letters and grouping them into words).

What is the proverb?
Answer: knowledge is power
Question: Mr. Wang is a retired civil servant and an avid fisherman-he goes to the river near his home almost every day. He also buys toys online for his grandson all the time, so he often stops by the neighborhood package pickup point.
Recently, a new upstairs neighbor moved in and has been making loud noise late at night. Mr. Wang has tried talking to the neighbor and the property management office multiple times, but nothing has been resolved.
One day, Mr. Wang was attacked from behind in the community garden. Right before he lost consciousness, he pointed in one direction and said, "Black hat…"
Police later found that several people nearby were wearing black hats. Based on the context, who is the most likely attacker?

A. The fishing tackle shop owner who often sells fishing gear to Mr. Wang.
B. Mr. Zhang, who often goes fishing with Mr. Wang.
C. The property manager who handled Mr. Wang's noise complaints.
D. A passerby in the community who had asked Mr. Wang for directions.
E. The upstairs neighbor involved in the noise dispute.
F. Grandpa Li, who often plays chess with Mr. Wang in the park.
Answer: D
Question: Professor Zhang is a retired university history professor. He likes browsing secondhand book markets and has become a regular with several vendors. He has also repeatedly raised suggestions with the HOA board about the neighborhood's landscaping. Recently, he has been furious about the smoke from a newly opened barbecue place downstairs and has called the police multiple times.
One day, he was attacked while doing research in the library. Before collapsing, he mumbled, "The person with tattoos." It is reported that several suspects have tattoos on their arms. Who is most likely the attacker?
A. A vendor from the secondhand book market
B. Mr. Liu, an HOA board member who works with him
C. The local police officer who knows him well
D. A young man who recently moved into the same building as him
E. The owner of the barbecue place downstairs
F. A student who often discusses history with him
Answer: D
Question: Grandma Chen is well-known in the community as a warm-hearted, helpful neighbor. She loves gardening and often helps others look after their plants and flowers. Every day, she shops at the same local produce market and is on familiar terms with the vendors there. However, she is very unhappy about the placement of feeding stations for stray cats and dogs in the neighborhood. She has repeatedly argued with local cat advocates and has also raised the issue with the community board.
One day, she was knocked down at the community activity center. Before losing consciousness, she only managed to say, "Dyed blonde hair."
Among all the suspects with dyed blonde hair, who is the most likely culprit?
A. A neighbor who often benefits from her help
B. The pork vendor at the market
C. The community board director who handles her complaints
D. A college student who came to the neighborhood to conduct a survey
E. A representative of the cat advocates who argued with her
F. Ms. Walters, who often attends community dance sessions with her
Answer: D
Question: The protagonist in the film Upside Down is from the Lower World, where gravity points in the opposite direction from that in the Upper World.
In this universe, exponentiation (a repeated multiplication) is denoted by a single upward arrow ↑; for example, a to the power of b is written as a↑b.
Repeated division is denoted by a single downward arrow ↓; for example, a divided by b iteratively is written as a↓b.
If the protagonist stands on a tall tower in the Lower World and sees the expression "2↓01-8" written upside down on a blackboard in a room in the Upper World, what is the value of this expression?
Answer: \boxed{-99992}
Question: In the movie Inverted World, the male protagonist is from the Lower World, where gravity operates in the opposite direction to that of the Upper World.
In this inverted world, repeated exponentiation is denoted by a single upward arrow ↑. For example, a raised to the power of b is written as a↑b. Meanwhile, repeated division is denoted by a single downward arrow ↓. For example, a divided by b for n times is written as a ↓ b
If the male protagonist, standing atop a tall tower in the Lower World, sees the expression 5↓09 + 86 written on a blackboard in a room of the Upper World, what is the result of this expression?
Answer: \boxed{3698}
Question: In the movie Upside Down, the protagonist lives in the "Lower World," where gravity runs in the opposite direction from the "Upper World."
In this universe, the notation is defined as follows:
Repeated multiplication is written with an upward arrow (↑). For example, a raised to the bth power is written as a↑b.
Repeated division is written with a downward arrow (↓). For example, a↓b means dividing a by b repeatedly, b times.
Standing on a tower in the Lower World, the protagonist looks up at a blackboard in an Upper World room and sees the expression "2↓05-1."
What is the actual numerical value of the expression he sees?
Answer: \boxed{-3199999}
Question: A standard 12 cm ballpoint pen refill can write continuously for 8 hours.
A specially designed pen uses a 36 cm‑long refill of the same type (same ink consumption per centimeter). Neglecting other factors, how long can this longer refill write continuously?

A. 8 hours
B. Between 8 hours and 24 hours
C. 24 hours
D. More than 24 hours
Answer: D
Question: A 15 cm tube of artist's paint, when used at a constant rate, lasts for 4 hours of work.
Now consider a 45 cm‑long tube of the same brand and diameter (same consumption rate per centimeter). How long can this longer tube last?

A. 4 hours
B. Between 4 hours and 12 hours
C. 12 hours
D. More than 12 hours
Answer: D
Question: A 3 cm lipstick, used at a normal rate, lasts for 60 uses.
A limited‑edition giant lipstick of the same diameter but 9 cm long is released. Approximately how many uses can it provide?

A. 60
B. Between 60 and 180
C. 180
D. More than 180
Answer: D
Question: Engineer Lee needs to access the server room on underground floor B-30 in a super-computing center. In this facility's basement floor-labeling system, all prime-numbered levels (e.g., B-2, B-3, B-5, B-7, etc.) are omitted from the labeled floor numbers and reserved as utility-pipeline levels.
Inside the elevator, the screen shows both the labeled floor and the physical level. However, Lee doesn't pay attention to the relationship between the two.
What is the minimum number of elevator rides Lee needs to successfully reach the server room labeled B-30?
Answer: \boxed{1}
Question: In the first-floor lobby of Building B, Mr. Zhang is told that Company C is on the "88th floor" and heads for the elevator.
By policy, every floor that's a multiple of 7 is a restricted equipment floor and isn't open to the public. When labeling floors, the building skips all of those equipment floors entirely. Each time Mr. Zhang arrives on a floor, he can find out how many equipment floors are below him. However, he doesn't initially know about the building's special floor-labeling scheme.
What is the minimum number of elevator rides he needs to successfully reach Company C?
Answer: \boxed{1}
Question: A visitor arrives at the entrance of a creative campus and is told where Studio 66 is. He's about to take the elevator upstairs.
The campus uses a floor-labeling scheme where any floor whose ones digit is 4 or 7 is skipped when floors are named.
His phone app can show the actual physical floor height he's on in real time, but he doesn't know this labeling rule.
What is the minimum number of elevator rides he needs to reach Studio 66?
Answer: \boxed{1}
Question:  Given a polynomial function f(x) such that f(1)=2, f(2)=3, f(3)=7, \text{ and } f(4)=25, what is the expression for f(n)? Please select one or more options that you consider correct.
 A n! + 1
B \frac{11}{6}n^3 - \frac{19}{2}n^2 + \frac{50}{3}n - 7
C \frac{1}{6}n^4 + \frac{1}{6}n^3 - \frac{11}{3}n^2 + \frac{25}{3}n - 3
Answer: B,C
Question: There is a polynomial function $f(x)$,$f(1)=2,f(2)=8,f(3)=24,f(4)=64$. What is the expression of $f(n)$? Select one or more options that you think are correct.
A \(n \cdot 2^n\)
B \(\frac{7}{3}n^3 - 9n^2 + \frac{50}{3}n - 8\)
C \(n^4 - \frac{23}{3}n^3 + 26n^2 - \frac{100}{3}n + 16\)
Answer: B,C
Question: Let $f(x)$ be a polynomial function such that $f(1)=0, f(2)=3, f(3)=26, f(4)=255$. What is $f(n)$?
Please select one or more options you believe are correct.
A \(n^n - 1\)
B \(31n^3 - 176n^2 + 314n - 169\)
C \(n^4 + 21n^3 - 141n^2 + 264n - 145\)
Answer: B,C
Question: Four collectors - Gold, Silver, Bronze, Iron - each own one coin (a gold, silver, bronze, or iron coin) and one box (colored gold, silver, bronze, or iron). The following conditions hold:
1.Only one collector's name matches the material of his coin.
2.Only one collector's name matches the color of his box.
3.No collector's name matches both his coin material and his box color.
4.The collector (not Iron) who owns the gold coin has a name that matches Iron's box color.
5.The collector (not Silver) who owns the iron coin has a name that matches Silver's box color.
Determine each collector's coin material and box color.
Present the answer in the order Gold, Silver, Bronze, Iron, using the format:
"Gold: [coin] coin, [color] box; Silver: [coin] coin, [color] box; …"
Answer: Gold: silver coin, gold box; Silver: bronze coin, iron box; Bronze: gold coin, silver box; Iron: iron coin, bronze box
Question: Four travelers named Fran, Ger, Ita, and Span are planning trips to France, Germany, Italy, and Spain respectively, and each of them has learned one of the four languages: French, German, Italian, and Spanish. The following conditions are known:
1. Only one person's name matches the name of the country they plan to visit.
2. Only one person's name matches the language they have learned.
3. No one has a name that matches both the country they plan to visit and the language they have learned.
4. The name of the person planning to travel to France (who is not Span) matches the language that Span has learned.
5. The name of the person planning to travel to Spain (who is not Ger) matches the language that Ger has learned.
Question: Determine the planned destination country and learned language for each of the four travelers. Present your answer in the format of "Fran: [Country], [Language]" in the order of Fran, Ger, Ita, and Span.
Answer: Fran: Germany, French; Ger: Italy, Spanish; Ita: France, German; Span: Spain, Italian
Question: Four generals named East, South, West, and North are stationed at the eastern, southern, western, and northern gates respectively, and they use the East Wind, South Wind, West Wind, and North Wind as their battle flag designations. It is known that:

1.Only one person's name matches the direction of the gate he is stationed at.
2.Only one person's name matches his battle flag designation.
3.No person's name matches both the gate he is stationed at and his battle flag designation.
4.The person stationed at the eastern gate (who is not General North) has the same name as the battle flag designation used by General North.
5.The person stationed at the northern gate (who is not General South) has the same name as the battle flag designation used by General South.

Determine which gate each of the four generals is stationed at and which battle flag designation each uses. Answer in the order East, South, West, North, using the format "General East: xx gate, xx battle flag designation".
Answer: General East: Southern gate, East Wind battle flag designation; General South: Western gate, North Wind battle flag designation; General West: Eastern gate, South Wind battle flag designation; General North: Northern gate, West Wind battle flag designation
Question: There is a 5-digit password consisting of non-repeating digits from 0 to 9. The following clues are known:
1. In the number 51627, two digits are correct but in the wrong positions
2. In the number 34581, three digits are correct but in the wrong positions
3. In the number 90465, three digits are correct but in the wrong positions
4. In the number 24867, three digits are correct and in the exact positions
5. In the number 72630, one digit is correct but in the wrong position
Question: What is the password?
Answer: \boxed{14857}
Question: There is a 5-digit password made up of non-repeating digits from 0 to 9. The following clues are known:
1. In the number 82531, two digits are correct but in the wrong positions
2. In the number 40872, three digits are correct but in the wrong positions
3. In the number 69018, three digits are correct but in the wrong positions
4. In the number 30915, three digits are correct and in the exact positions
5. In the number 53162, one digit is correct but in the wrong position
Question: What is the password?
Answer: \boxed{40985}
Question: There is a 5-digit password composed of non-repeating digits from 0 to 9. The following clues are known:
1. In the number 30687, two digits are correct but in the wrong positions
2. In the number 52870, three digits are correct but in the wrong positions
3. In the number 15493, three digits are correct but in the wrong positions
4. In the number 93162, three digits are correct and in the exact positions
5. In the number 19604, one digit is correct but in the wrong position
Question: What is the password?
Answer: \boxed{73152}
Question: At a mysterious ritual, the four elements (Fire, Water, Earth, Wind) must be activated at four positions around the altar. The known clues are as follows:

The four positions are arranged clockwise and numbered 1 to 4, each corresponding to one element.

Four gems are inlaid in the center of the altar: ruby, sapphire, emerald, and topaz.

The Earth element is activated in a position adjacent to the Wind element.

Each position has one sacred relic: the Wand, the Chalice, the Pentacle, and the Sword.

The position of the Wind element is not adjacent to the position of the Fire element.

Wind and Earth represent material forms; Water represents flow and change; Fire represents creation and destruction.

Wind and Fire are in conflict; Wind and Earth are mutually reinforcing; Water and Wind are in harmony, while Water and Earth are not in harmony.

The Water element is in position 1 or position 4.

If Fire is in position 3, then Earth must be in position 2.

If, counting clockwise, there are two positions between Wind and Water, then Earth cannot be the last element activated.

If Wind and Earth are adjacent, then Water is the second element activated.

If Wind and Water are adjacent, then Earth is the first element activated.

Question: Under all conditions being satisfied, how many arrangements are there where the sum of the position numbers of Earth and Wind is greater than the sum of the position numbers of Fire and Water?
Answer: \boxed{1}
Question: In a high-stakes cooking competition, four famous chefs-Annie, Bob, Chloe, and David-must each prepare a dish at their own cooking booth. Here are the clues:

The four booths are arranged clockwise and numbered 1 through 4.

In front of the judges are four napkins, one in each of these colors: ivory, sky blue, burgundy, and leaf green.

Annie's booth is adjacent to David's.

Each booth has a set of chef's knives from one of these brands: Zwilling, Shun, Tojiro, or Guryōji.

David's booth is not adjacent to Chloe's.

David and Annie are both renowned for French cuisine, Bob has no fixed cooking style, and Chloe is famous for molecular gastronomy.

David and Chloe have faced each other in competitions before, David and Annie have never met, Bob and David attended the same school, and Bob and Annie don't know each other.

Bob is either at station 1 or station 4.

If Chloe is at station 3, then Annie must be at station 2.

If David and Bob have exactly two stations between them (i.e., they are opposite each other), Annie cannot be the last chef to present a dish.

If David and Annie are adjacent, Bob presents second.

If David and Bob are adjacent, Annie presents first.

Given all these conditions, how many valid arrangements are there where the sum of Chloe's and David's booth numbers is greater than the sum of Annie's and Bob's booth numbers?
Answer: \boxed{2}
Question: At a summer music festival, four bands-U, V, W, and X-will perform on four different stages. Here are the clues:

The four stages are arranged in a clockwise circle and numbered 1 through 4.

Each stage has a themed lighting color: rock red, folk green, electronic blue, or pop purple.

Band X performs on a stage adjacent to Band W.

Each stage is equipped with one of these top-tier sound systems: JBL, Bose, Meyer Sound, or L-Acoustics.

Band W's stage is not adjacent to Band V's stage.

Bands W and X both play heavy metal, Band U has a versatile style, and Band V is purely a pop band.

The fan bases of W and V are incompatible, W and X are sibling bands, U and W are signed to the same record label, but U and X are not.

Band U is on stage 1 or stage 4.

If Band V is on stage 3, then Band X must be on stage 2.

If Band W and Band U have exactly two stages between them (i.e., they are opposite each other), then Band X cannot be the closing act.

If Band W and Band X are adjacent, then Band U performs second.

If Band W and Band U are adjacent, then Band X performs first.

Given all these conditions, how many valid arrangements are there where the sum of the stage numbers for W and X is greater than the sum of the stage numbers for U and V?
Answer: \boxed{1}
Question: Amy and her teammate are playing a detective puzzle game. Today, both Amy and her teammate are undercover cops whose goal is to recover a piece of porcelain stolen by thieves. However, they currently have no information and do not know what the porcelain is; they must find clues during the gameplay stages. Amy and her teammate split up and agreed to rendezvous in one hour. But fifty minutes later, Amy heard an in-game announcement: her teammate had been identified by the thieves and eliminated. Amy must now complete the mission alone. After searching for a long time with no progress, she realized her teammate might have left a message, so she went to the spot where her teammate was eliminated and found an English note left by him: "No. 3 Floor, No. 7 Shop, zoo3". Amy then headed to the 3rd floor of Shop No. 7. But the thieves were cunning-there were 8 pieces of porcelain in total, and Amy did not know which one was genuine. She carefully recalled her teammate's speaking habit from earlier in the game before his elimination: he liked to append a number after English words and had specifically reminded her to pay attention to character rotation. Suddenly inspired, Amy figured it out and identified the correct porcelain. Which of the following is most likely the correct porcelain?
A. Dragon-patterned vase
B. Phoenix figurine
C. Buddha statue
D. Moonlit water lily vase
E. Landscape painted plate
F. Portrait-of-ladies vase
G. Blue-and-white jar
H. Fortune-character bowl
Answer: D
Question: Alex and his partner are playing an inference detective game. Today, both Alex and his partner are undercover detectives whose goal is to recover a photo hidden by a criminal gang. However, they currently have no information and do not know what the photo is; they must find clues during the gameplay stages. Alex and his partner split up and agreed to contact each other in fifty minutes. But thirty-five minutes later, Alex heard an in-game announcement: his partner had been discovered by the criminal gang and eliminated. Alex must now complete the mission alone. After searching for a long time with no progress, he realized his partner might have left a message, so he went to the spot where his partner was eliminated and found an English note left by him: "No. 8 Floor, No. 3 Cabinet, doo7". Alex then headed to Cabinet No. 3 on the 8th floor. But the criminal gang was cunning-there were 12 photos in total, and Alex did not know which one was genuine. He carefully recalled his partner's speaking habit from earlier in the game before his elimination: he liked to append a number after English words and had specifically reminded him to pay attention to character rotation. Suddenly inspired, Alex figured it out and identified the correct photo. Which of the following is most likely the correct photo?
A. Library interior
B. Café corner
C. Billiards room
D. Concert hall
E. Gym
F. Cinema
G. Restaurant private room
H. Hotel lobby
Answer: C
Question: Lin and his teammates are playing a treasure-hunting puzzle game. Taking on the roles of undercover agents for the day, their mission is to recover a work of art stolen by a spy organization. However, they have no leads whatsoever-not even the identity of the artwork-and must gather clues as they progress through the game.
Lin and his teammates split up to search, agreeing to rendezvous in an hour. But forty-five minutes later, Lin heard an in-game announcement: his teammate's cover had been blown by the spies, and the teammate was eliminated from the game. Lin was left to complete the mission alone. After searching fruitlessly for a long time, he suspected his teammate might have left behind some hints, so he headed to the spot where his teammate was eliminated. Sure enough, he found an English message left by his teammate, which read: "No. 6 Building, No. 4 Room, doo7".
Lin then made his way to Room 4, Building 6. But the spies were crafty-there were ten works of art in total here, and Lin had no clue which one was the genuine piece. He racked his brains, recalling his teammate's speaking habits before elimination: the teammate liked to append a number after English words, and had specifically reminded him to pay attention to character rotation. A sudden flash of inspiration hit Lin, and he finally identified the correct artwork.
Question: Which of the following is most likely the correct artwork?

A. Desert Camel Painting
B. City Night View Painting
C. Girl by the Swimming Pool
D. Forest Cabin Painting
E. Snow Mountain Landscape Painting
F. Beach Sunset Painting
G. Pastoral Scenery Painting
H. Urban Architecture Painting
Answer: C
Question: Tom needs to travel from the company to the conference hotel located on the same straight road. The map app provides three routes:
Route A: Walk 1.5 km along the street to the bus stop, take a bus for 20 km and then walk another 1.5 km to the hotel.
Route B: Ride an electric scooter for 18 km.
Route C: Take a taxi for 25 km.
(The differences in the total distance of the three routes are caused by vehicle U-turns or the entry and exit points of bus stops.)
Given that Tom's average speeds for walking, riding an electric scooter, taking a taxi and taking a bus are 6 km/h, 20 km/h, 50 km/h and 80 km/h respectively, and the cost is ¥0, ¥0.3, ¥2 and ¥0.4 per kilometer respectively.
Disregarding traffic conditions and waiting time, how much will Tom spend if he chooses the fastest way to reach the hotel?
Answer: \boxed{14}
Question: Tom needs to travel from the school to the science museum. The map app provides three routes:
Route A: Walk 1 km to the subway station, take the subway for 25 km and then walk another 1 km to the science museum.
Route B: Ride an electric scooter for 20 km.
Route C: Take a ride-hailing car for 30 km.
(The differences in the total distance of the three routes are caused by vehicle U-turns or the entry/exit points of the subway station.)
Given that Tom's average speeds for walking, riding an electric scooter, taking a ride-hailing car and taking a subway are 4 km/h, 25 km/h, 40 km/h and 100 km/h respectively, and the cost per kilometer for each mode of transport is ¥0, ¥0.2, ¥3 and ¥0.5 respectively.
Disregarding traffic conditions and waiting time, how much will Tom spend if he chooses the fastest way to reach the science museum?
Answer: \boxed{18.5}
Question: Tom needs to travel from his home to a seaside park. The map app provides three routes:
Route A: Walk 2 km to the main bus station, take the express bus for 30 km and then walk another 2 km to the seaside park.
Route B: Ride a motorcycle for 25 km.
Route C: Take a taxi for 36 km.
(The differences in the total distance of the three routes are caused by vehicle U-turns or the entry/exit points of the bus station.)
Given that Tom's average speeds for walking, riding a motorcycle, taking a taxi, and taking the express bus are 5 km/h, 50 km/h, 60 km/h and 75 km/h respectively, and the cost per kilometer for each mode of transport is ¥0, ¥0.8, ¥2.5 and ¥0.2 respectively.
Disregarding traffic conditions and waiting time, how much will Tom spend if he chooses the fastest way to reach the seaside park?
Answer: \boxed{16}
Question: Six workers are painting double-sided, solid-color ceramic plates. Each worker paints at a constant speed and takes 180 seconds to complete one side. When a worker begins painting one side of a plate, the other side must either be fully painted or completely unpainted. When a worker switches plates or switches to the other side and starts painting, they must paint continuously for at least 30 seconds before pausing the work. Assuming no time is spent switching plates, what is the minimum time, in minutes, required to finish painting 5 plates?
Answer: \boxed{5}
Question: 4 workers are painting double-sided, solid-color ceramic plates. Each worker paints at a constant speed and takes 120 seconds to complete one side. When a worker begins painting one side of a plate, the other side must either be fully painted or completely unpainted. When a worker switches plates or switches to the other side and starts painting, they must paint continuously for at least 30 seconds before pausing the work. Assuming no time is spent switching plates, what is the minimum time, in minutes, required to finish painting 9 plates?
Answer: \boxed{9}
Question: 5 workers are painting double-sided, solid-color ceramic plates. Each worker paints at a constant speed and takes 100 seconds to complete one side. When a worker begins painting one side of a plate, the other side must either be fully painted or completely unpainted. When a worker switches plates or switches to the other side and starts painting, they must paint continuously for at least 20 seconds before pausing the painting. Assuming no time is spent switching plates, what is the minimum time, in minutes, required to finish painting 6 plates?
Answer: \boxed{4}
Question: An ambulance receives an emergency mission to head to the hospital. The starting point is 20 km from the destination. The road speed limit is 80 km/h, but the ambulance's theoretical fastest average speed is 120 km/h. There are expected to be 5 standard traffic lights with red, yellow, and green phases along the route. Each cycle consists of a red light for 40 seconds, a green light for 40 seconds, and a yellow light for 3 seconds. The signal phase encountered at each intersection is completely random, but the ambulance will encounter at least 2 full red lights. Assuming no traffic congestion and ignoring traffic regulations, what is the minimum travel time (in minutes) for the ambulance to reach the destination?
Answer: \boxed{10}
Question: A police car is assigned a pursuit mission, with the target vehicle 15 km ahead. The road speed limit is 60 km/h, but the police car's theoretical fastest average speed is 90 km/h. The route is expected to include 2 school zones, where regulations require slowing down to 30 km/h, and the police car will encounter at least 1 traffic control point. In an emergency situation, disregarding all speed limits and traffic controls, what is the minimum travel time (in minutes) for the police car to catch up to the target vehicle?
Answer: \boxed{10}
Question: A maglev line connects downtown to the airport, with a total length of 60 km. City regulations limit the speed to 300 km/h in the urban section, but the train's theoretical fastest average speed is 480 km/h. In normal operation, the train stops at 2 intermediate stations, with each stop-including acceleration and deceleration-taking a total of 3 minutes. If a non-stop direct service is now introduced, traveling at the theoretical fastest speed throughout the entire route, what is the minimum travel time (in minutes) from downtown to the airport?
Answer: \boxed{7.5}
Question: Liam is a top-tier hacker codenamed "Phantom." One day, he first breached a startup's servers and stole its core code; then he broke into a fintech company's systems and obtained its trading algorithm; next he hacked into the backend systems of a major gaming company and copied an unreleased game engine; finally, he copied AI research data from a university lab.

He stored all the stolen code and data, along with a private project he was working on, in an encrypted folder. When he went to sort through the haul, he found that his private project and one of the stolen code files had been deleted. The only thing left was a text file that read: "You're not good enough to steal my code."

The person who deleted Liam's files is affiliated with which of the four organizations listed above?
Answer: Start-up company
Question: An agent codenamed "Nightingale" is skilled at stealing intelligence in all kinds of settings. At an embassy banquet, she first took a microfilm reel containing military deployment plans from a military attaché, then took a confidential letter containing a diplomat's negotiating bottom line, then took a sample of a new material from a scientific advisor, and finally swiped an encrypted hard drive from a wealthy businessman. She put all of these items, along with her identity-disguise chip, into a specially designed clutch.

Back at the safe house, she found that her identity-disguise chip and one of the stolen items were missing. Left in the clutch was a cigar with a note tied to it: "You picked the wrong target, ma'am."

Who took back what was stolen from them and stole her chip?
Answer: military attaché
Question: A skilled gamer nicknamed "The Lone Ranger" was addicted to stealing rare gear from other players in an online game. First, he stole a warrior's "Dragon Scale Armor." Then he stole a mage's "Sage Staff." Next, he stole an assassin's "Shadowless Dagger." Finally, he stole a priest's "Holy Tome." He stored all of the stolen gear, along with his most prized possession-the "Founder's Badge"-in his in-game storage.

The next day, when he logged in, he received an anonymous in-game mail: "You touched my treasure, so I had to take yours." He checked his storage and found that his "Founder's Badge" and one of the stolen items were missing.

Which of the four players he stole from took his items?
Answer: The Warrior
Question: Mike needs to deliver 240 buckets of fresh milk to a processing plant at the top of a mountain. The only way up is a conveyor belt. The operator's rule is: for each shipment sent, one-fifth of the amount shipped is taken as a service fee. Mike wants to get as many buckets as possible to the plant. How many buckets will ultimately arrive?
Answer: \boxed{200}
Question: Mr. Smith has 700 bolts of fabric to be transferred from an old warehouse to a new one. A robotics company handles the job. The company's rule is: on each trip, it takes a fee equal to two-fifths of the number of bolts moved on that trip. Mr. Smith wants to get as many bolts as possible into the new warehouse. What is the maximum number of bolts that can end up in the new warehouse?
Answer: \boxed{500}
Question: Farmer Ben has 360 bags of rice that he must transport across a swamp before he can sell them. The only way across is by hovercraft. The pilot's rule is: on each trip, he takes one-eighth of the bags transported on that trip as payment. Farmer Ben wants to get as many bags across as possible. What is the maximum number of bags he can ultimately sell?
Answer: \boxed{320}
Question: When Noah Bennett, Sophie Stone, Ethan Evans, and Gabe Garcia were born, their mothers were all the same age and still quite young. While chatting, the children say:
1. Sophie is the oldest of the four children, and she could even be older than some of the mothers.
2. Gabe is not the youngest child; he is 20 years younger than Noah's mother.
3. Ethan is older than Noah, and the sum of Ethan's age and Gabe's mother's age is 50.
4. The absolute difference between Noah's current age and Ethan's mother's age ten years ago is exactly the age Noah's mother was when she gave birth to him.

The mothers also say:
Mrs. Stone: "My child is the youngest; my child's age is exactly the age gap between Gabe and Ethan."
Mrs. Evans: "My child's age is exactly one quarter of Ethan's mother's age."
Mrs. Bennett: "In 12 years, the oldest child will be the same age I am now."
Mrs. Garcia: :"None of us is under 30 now."

Which of the following statements are true?

A. Sophie's mother is the oldest of the mothers.
B. Mrs. Evans's child is older than Ethan.
C. Noah is older than 10.
D. Mrs. Evans is the youngest mother.
Answer: A
Question: When Jack, Ethan, Caleb, and Dylan were born, their mothers were all young and the same age at the time they gave birth. While chatting together, they said:

1) Dylan is the oldest of the kids and runs the fastest.
2) Ethan is not the youngest, and he is 28 years younger than Jack's mother (in age).
3) Caleb is older than Jack, and the sum of Caleb's age and Ethan's mother's age is 59.
4) The absolute difference between Jack's age and Caleb's mother's age 11 years ago is exactly the age Jack's mother was when she gave birth to him.

Their mothers were talking nearby as well:
Mrs. Foster: My child is the youngest, and her age equals the absolute difference between Ethan's age and Jack's age.
Mrs. Young: My child's age equals Caleb's mother's current age minus 28.
Mrs. Carter: My child is 5 years younger than Dylan.
Mrs. Morgan: All of us mothers are now over 33 years old.

Which of the following options are correct?
A. Dylan's mother is the oldest.
B. Mrs. Young's child is younger than Ethan.
C. Jack is 10 years old.
D. Mrs. Young is the youngest mother.
Answer: A
Question: Tom, Jack, Tyler, and Peter were born when their mothers were all very young and the same age. While chatting, they said:

Peter is the oldest child; he could be twice as old as some of the mothers.
Jack is not the youngest, and he is 20 years younger than Tom's mother.
Tyler is older than Tom, and the sum of Tyler's age and Jack's mother's age is 60.
The absolute difference between Tom's age and Tyler's mother's age 12 years ago is exactly the age Tom's mother was when she gave birth to him.

The mothers also said:

Mrs. Sanders: "My child is the youngest; her age is exactly the age gap between Tyler and Jack."
Mrs. Quinn: "My child's age is exactly one quarter of Jack's mother's age."
Mrs. Lee: "In 10 years, the oldest child will be the same age I am now."
Mrs. Brooks: "None of us is under 30 now."

Which of the following statements are correct?

A. Peter's mother is the oldest mother.
B. Mrs. Quinn's child is older than Tyler.
C. Tom is 6 years old.
D. Mrs. Lee is the youngest mother.
Answer: A
Question: A rectangular sheet of paper measuring 25 cm by 15 cm can be cut into at most how many strips, each measuring 9 cm by 1 cm?
Answer: \boxed{41}
Question: A rectangular sheet of paper measuring 22 cm by 13 cm can be cut into at most how many strips, each measuring 8 cm by 1 cm?
Answer: \boxed{35}
Question: A rectangular sheet of paper measuring 20 cm by 10 cm can be cut into at most how many strips, each measuring 7 cm by 1 cm?
Answer: \boxed{28}
Question: Raccoon (🦝) and his friends are playing a game, where they roll a dice (🎲) to determine the number of steps to move each turn. However, there are wild boars (🐗) blocking the path. If the end point of a move lands exactly on a wild boar, the player will be knocked flying and forced to move 3 steps backward. If the player does not have enough steps to move back 3, they will be sent all the way back to the starting point.
The game map is a 5*5 grid with a single path leading to the hamburger goal. But watch out-there are black traps on the way: landing on a trap by accident (🕳️) results in an immediate loss. Additionally, thorns (✖️) are impassable.
The numbers Raccoon rolled on the dice are as follows: 2, 3, 4, 3, 5, 2, 4.
Question: How many times has Raccoon been knocked flying by wild boars so far?
🍔🟦🟦🐗🟦
✖️✖️✖️✖️🟦
🟦🐗🕳️🟦🟦
🟦✖️✖️✖️✖️
🐗🟦🟦🐗🦝
Answer: \boxed{0}
Question: A little bunny (🐰) is playing a game with friends, where the number of steps to move is determined by rolling a die (🎲). Along the way, goats (🐐) block the path. If the endpoint of a move lands exactly on a goat, the bunny is knocked back 3 steps. If there are fewer than 3 steps to move backward, the bunny is sent all the way back to the starting point.
The map is a 7×5 grid with a single path leading to the carrot. Be careful: landing on a black trap (🕳️) results in an immediate loss. Thorns (✖️) cannot be passed.
The numbers the little bunny rolled on the die are: 4, 2, 3, 5, 2, 6, 3, 4.
Question: How many times has the little bunny been knocked back by goats so far?
🥕🟦🐐🟦🟦🟦🟦
✖️✖️✖️✖️✖️✖️🟦
🟦🟦🟦🐐🕳️🟦🟦
🟦✖️✖️✖️✖️✖️✖️
🐐🟦🐐🟦🟦🐐🐰
Answer: \boxed{2}
Question: A little squirrel (🐿️) is playing a game with friends, where the number of steps to move is determined by rolling a die (🎲). Along the way, roosters (🐓) block the path. If the endpoint of a move lands exactly on a rooster, the squirrel is knocked back 3 steps. If there are fewer than 3 steps to move backward, the squirrel is sent all the way back to the starting point.
The map is a 6×5 grid with a single path leading to the nut. Be careful: landing on a black trap (🕳️) results in an immediate loss. Thorns (✖️) cannot be passed.
The little squirrel rolled the following numbers on the die: 3, 5, 2, 4, 1, 5, 3.
Question: How many times has the little squirrel been knocked back by a rooster so far?
🌰🟦🟦🟦🐓🟦
✖️✖️✖️✖️✖️🟦
🟦🐓🟦🕳️🟦🟦
🐓✖️✖️✖️✖️✖️
🟦🟦🐓🟦🟦🐿️
Answer: \boxed{1}
Question: A garden plans to place decorative stones in a square plaza to create an artistic arrangement.
The design is such that, when viewed from different directions, the stones form exactly 16 lines, each containing exactly 3 stones.
In each line, the distances between consecutive stones are equal, and this spacing must be one of the constants in the set {A, D, E}.

What is the minimum number of stones required?
Answer: \boxed{17}
Question: A botanical garden plans to plant a special variety of flowers in its greenhouse to create an ornamental display.
The expert design arranges the flowers in a symmetric pattern such that, when viewed from different directions, they form exactly 20 lines, each containing exactly 3 flowers.
In each line, the distances between consecutive flowers are equal, and this spacing must be one of the constants in the set {M, N, P}.

What is the minimum number of flowers required?
Answer: \boxed{21}
Question: An art gallery plans to install a set of sculptures in its exhibition hall to create an aesthetic spatial arrangement.
The artist's design arranges the sculptures in an innovative pattern such that, when viewed from different directions, they form exactly 8 lines, each containing exactly 3 sculptures.
In each line, the distances between consecutive sculptures are equal, and this spacing must be one of the constants in the set {X, Y, Z}.

What is the minimum number of sculptures required?
Answer: \boxed{9}
Question: An ant finds a pile of 22 rice grains. In each trip, it can carry 1 to 4 grains. If the cumulative number of grains it has picked up to carry is less than 7, no grains are dropped. Once that cumulative total reaches 7 or more, on each subsequent trip the ant drops 2 grains on the way. However, no grains are dropped on the final trip (the trip that completes moving all 22 grains).

If the ant carries exactly 2 grains on the final trip, what is the minimum number of trips needed to move all 22 grains?
Answer: \boxed{10}
Question: Leo is building a tall tower with 12 blocks. There are 12 blocks on the ground. Each move, he can pick up 1 to 3 blocks and stack them. On any move where the cumulative number of blocks he has picked up so far is greater than 4, he bumps the tower and 1 block falls off the top. When there are no blocks left on the ground, the tower does not drop a block (i.e., the final stacking does not cause a drop). If his last move consists of picking up only 1 block, what is the minimum number of moves needed to stack all 12 blocks onto the tower?
Answer: \boxed{7}
Question: Leo, a librarian, needs to move 30 books scattered on the floor onto a bookshelf. In each trip, he can carry 1 to 6 books.

Rules:
If the cumulative number of books he has picked up to carry exceeds 10, then on each trip 2 books are dropped on the way (starting from the trip when it first exceeds 10).
No books are dropped on the final trip (the trip that removes the last remaining books from the floor).

If he carries exactly 6 books on the final trip, what is the minimum number of trips needed to move all 30 books?
Answer: \boxed{7}
Question: On a circular village path there are 8 stone slabs arranged clockwise with labels 1, 4, 3, 8, 5, 2, 7, 6. Two rabbits play a game on them, both hopping in the same clockwise or counter‑clockwise direction (the same for both) from slab to slab, taking turns.

Rabbit A starts on slab X (unknown), rabbit B starts on slab 6.
Rabbit A's each jump moves a distance equal to what rabbit B would cover in N jumps, where N < 8. After 8 jumps, rabbit A returns to its starting slab.
If the slabs visited by A (in time order) are connected by straight lines, they form a regular star octagon (8‑pointed star).

Whenever A jumps away from a slab, the number on that slab may change (according to a rule implied by the game).
Each time B lands after A's jump, the number on B's current slab is recorded, producing the sequence 1, 2, 3, 4, 5, 6, 7, 8 (in that order).

What is the sum of all possible values of X and N?
Answer: \boxed{14}
Question: A circular rural path has 8 stone slabs numbered clockwise as 1, 4, 3, 2, 5, 8, 7, 6. Two rabbits are playing a game on them. Both rabbits A and B alternate jumps on the slabs in the same clockwise or counterclockwise direction. The initial slab numbers for rabbits A and B are X and 6, respectively. Each jump by rabbit A covers a distance equivalent to rabbit B jumping N times, with N less than 8. After exactly 8 jumps, A returns to its starting slab, and connecting the slabs A has occupied in chronological order with straight lines forms a regular octagram (eight-pointed star). Rabbit B jumps only to the adjacent next slab each time. Since the number on the slab that A leaves may change when A jumps, the number of the slab where B is located is recorded each time B lands, yielding the sequence "1, 2, 3, 4, 5, 6, 7, 8". What is the sum of all possible values of X and N?
Answer: \boxed{14}
Question: On a circular village path there are 8 stone slabs arranged clockwise with labels 1, 6, 3, 2, 5, 8, 7, 4. Two rabbits play a game on them, both hopping in the same clockwise or counter‑clockwise direction (the same for both) from slab to slab, taking turns.

Rabbit A starts on slab X (unknown), rabbit B starts on slab 4.
Rabbit A's each jump moves a distance equal to what rabbit B would cover in N jumps, where N < 8. After 8 jumps, rabbit A returns to its starting slab.
If the slabs visited by A (in time order) are connected by straight lines, they form a regular star octagon (8‑pointed star).

Whenever A jumps away from a slab, the number on that slab may change (according to a rule implied by the game).
Each time B lands after A's jump, the number on B's current slab is recorded, producing the sequence 1, 2, 3, 4, 5, 6, 7, 8 (in that order).

What is the sum of all possible values of X and N?
Answer: \boxed{16}