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subject,question,choices,answer
mental manipulation and transformation,"On a virtual workbench, several geometric parts are placed. Exactly in the center of the workbench is a stable gray square base (code S), whose four sides are parallel to the front, back, left, and right edges of the workbench respectively. First, a blue L-shaped block (code L), with its longer arm pointing away from the observer and its shorter arm pointing to the right, is placed directly above the gray base S, and the corner of the L-shape is aligned with the center point of the base S. Next, a red T-shaped block (code T), with its vertical bar pointing towards the observer, is placed directly above the end of the longer arm of the L-shaped block (the end further away from the observer). Subsequently, the entire gray base S along with all the blocks above it (L and T) are rotated 90 degrees forward (towards the observer) around a horizontal axis (X-axis) passing through the midpoints of the left and right edges of the base S. After the flip is complete, a green sphere (code G) is placed next to the position where the bottom of the vertical bar of the original T-shaped block is now located, slightly towards the left side of the workbench. Finally, the entire assembly is rotated 90 degrees to the right around a horizontal axis (Y-axis) passing through the midpoints of the front and back edges of the base S.
1. (Multiple Choice) After all the steps, looking down from exactly above the workbench, which of the following descriptions are correct?
2. (Single Choice) In the final state, if the observer moves slightly to the right side of the workbench and looks down at the entire assembly at a roughly 45-degree angle, which part appears to be at the highest vertical position?
3. (Single Choice) After completing all operations, using the position of the green sphere G as a reference point, in which relative direction is the corner of the blue L-shaped block (the part initially aligned with the center point of the base) located relative to G?","[""The longer arm of the blue L-shaped block points to the observer's left."",""The top crossbar of the red T-shaped block is parallel to the front and back edges of the workbench."",""The vertical bar of the red T-shaped block points downward (passing through the base)."",""The shorter arm of the blue L-shaped block points downward (passing through the base)."";""The corner part of the blue L-shaped block"",""The top crossbar part of the red T-shaped block"",""The vertical bar part of the red T-shaped block"",""The green sphere G"";""Roughly to the front, right, and upwards of G"",""Roughly to the back, left, and downwards of G"",""Roughly to the right, back, and downwards of G"",""Roughly to the left, front, and upwards of G""]","[1,3;1;2]"
mental manipulation and transformation,"An engineer is assembling a complex robotic arm model. The base (B) of the model is a fixed cube. The first arm segment (A1) is connected to the center of the top face of base B, and initially, A1 is vertically pointing up. The second arm segment (A2) is connected to the top end of A1, and initially, A2 extends horizontally forward (towards the engineer). The third arm segment (A3) is connected to the end of A2, and initially, A3 points vertically downward. At the end of A3, there is a gripper (C), and initially, the opening of the gripper faces to the right.
Now, a series of operations is performed:
First, using the connection point between A1 and base B as the axis, tilt A1 forward (towards the engineer) by 45 degrees.
Next, using the connection point between A1 and A2 as the axis, lift A2 upward by 90 degrees.
Then, using the connection point between A2 and A3 as the axis, rotate A3 to the left by 90 degrees.
Finally, the gripper C itself rotates 90 degrees clockwise around its connection point with A3.
1. (Multiple Choice) After completing all operations, looking down from exactly above the engineer, which of the following spatial relationships are correct?
2. (Single Choice) In the final state, if the center of the top face of base B is set as the origin, in approximately what direction is the relative position of the end of the third arm segment A3 (where it connects to the gripper)?","[""The end of the second arm segment A2 is roughly located exactly above base B."",""The third arm segment A3 is roughly horizontal, pointing to the engineer's left."",""The opening of gripper C faces away from the engineer."",""The first arm segment A1 forms a 45-degree angle with the vertical direction."",""The third arm segment A3 and the second arm segment A2 are perpendicular to each other."";""Bottom-left of the origin"",""Bottom-right of the origin"",""Top-left of the origin"",""Top-right of the origin""]","[1,3,4;0]"
mental manipulation and transformation,"An artist is creating a kinetic sculpture. The core of the sculpture is a fixed black pyramid base (P), with its square bottom lying flat on the ground. Initially, a long silver rod (R1) extends vertically upwards from the apex of pyramid P. A translucent blue ring (C1) is placed horizontally around the midpoint of the silver rod R1. At the top end of the silver rod R1, there is a rotatable joint connected to a shorter golden square pillar (B1); initially, B1 points horizontally to the observer's right.
The artist makes some adjustments:
First, rotate the golden square pillar B1 upwards by 45 degrees around its connection joint with the silver rod R1 (making it point to the observer's front-right and tilted upwards).
Next, slide the blue ring C1 downwards along the silver rod R1 until it touches the apex of pyramid P.
Then, tilt the entire silver rod R1 (along with B1 and C1 on it) 90 degrees to the left, using the apex of pyramid P as the axis, so that R1 is now completely horizontal, pointing to the observer's left.
After that, rotate the golden square pillar B1 again around its connection joint with the silver rod R1, this time rotating it downwards by 90 degrees.
Finally, a small red cube (K1) is placed directly below the endpoint of the golden square pillar B1 that is furthest from the silver rod R1, tight against the ground.
1. (Multiple Choice) After all operations are completed, looking from a perspective directly in front of the observer, which of the following descriptions are correct?
2. (Single Choice) In the final state, if the apex of pyramid P is used as a reference point, approximately in what direction is the position of the small red cube K1?
3. (Single Choice) Consider the final state. If the entire silver rod R1 (along with B1, C1, K1 on it) is now rotated 90 degrees upwards around the apex of pyramid P to restore it to a vertical state, in which direction would the golden square pillar B1 point?","[""The silver rod R1 points to the observer's left."",""The end of the golden square pillar B1 points downward and slightly to the right."",""The blue ring C1 is located at the apex of pyramid P."",""The small red cube K1 is located directly below the end of the golden square pillar B1."",""The golden square pillar B1 and the silver rod R1 form a 45-degree angle."";""On the ground directly left of the reference point"",""On the ground to the front-left of the reference point"",""On the ground to the back-left of the reference point"",""Below the reference point (if the ground were transparent)"";""Points to the observer's right and tilted 45 degrees downwards"",""Points to the observer's front and tilted 45 degrees downwards"",""Points horizontally to the observer's right"",""Points horizontally to the observer's front""]","[0,2,3;1;0]"
navigation and path integration,"A courier needs to complete a series of deliveries within a fictional city district. His starting point is the central warehouse located at city grid coordinates (0,0), facing due north. His first task is to head to Company A located at (East 5, North 3). After delivery, he needs to go to Hospital B located at (East 2, North 7). After leaving Hospital B, his next destination is Cafe C located at (West 4, North 7). After a short stay at Cafe C, he receives instructions to head to Residential Area D located at (West 4, South 2). Finally, he needs to return to the central warehouse from Residential Area D. Assume all streets are in a strict grid layout, and the courier always chooses the shortest grid-line path.
Consider the courier's two route segments from Cafe C to Residential Area D, and then from Residential Area D back to the central warehouse. If he wants to drop off a letter at a mailbox located at (West 2, South 1) on his way back to the warehouse, would this increase his total travel distance from Residential Area D back to the warehouse?","[""Yes, it will definitely increase the distance."",""No, the distance remains the same; it is on the way."",""No, it might actually decrease the distance."",""Insufficient information to judge.""]",1
navigation and path integration,"An archaeologist is searching for the ruins of a lost ancient city based on a torn ancient map and a journal. The journal records: ""Start from the temple (Point S) facing north, walk along the direction where the sun rises (east) until you see three giant cypress trees lined up side-by-side (Point L1). From the cypress trees, turn to the direction where your shadow is shortest at noon (south), walk a distance approximately twice as long as the distance you just walked from the temple to the cypress trees, and you will reach a dried-up riverbed (Point R). Follow the riverbed downstream (assuming the river flows generally southeast), pass a noticeable U-shaped bend, walk about another 500 steps, and the entrance to the ancient city should be on the left bank of the riverbed."" The archaeologist has currently traveled from Point S to Point L1, and estimates the straight-line distance from Point S to Point L1 to be 1.5 kilometers.
If the archaeologist strictly follows the journal's instructions, after traveling from Point L1 to Point R, what are the most likely straight-line distance and general direction of his position relative to the initial temple (Point S)?","[""About 3.0 km, due east"",""About 3.0 km, due south"",""About 4.5 km, east-southeast"",""About 3.4 km, southeast""]",3
navigation and path integration,"A desert expedition team plans to travel from Oasis A to Oasis B. According to a satellite map, Oasis B is located 120 kilometers due east of Oasis A. However, there is an extremely difficult-to-pass quicksand area directly between the two oases. Therefore, the team plans to first travel 80 kilometers from Oasis A at an azimuth angle of 30 degrees (northeast) to reach a mid-way supply point C. Then, they will turn from supply point C and head in a straight line to Oasis B. They need to calculate the distance and direction from Point C to Point B to ensure they carry enough fuel and water.
What should be the approximate heading direction (azimuth angle) for the expedition team when traveling from supply point C to Oasis B?","[""About 105 degrees (east-southeast)"",""About 135 degrees (southeast)"",""About 150 degrees (south-southeast)"",""About 165 degrees (south-southeast)""]",1
spatial perception and action,"Scene description starts:
You have received a mission to infiltrate a small research facility and retrieve a document. The floor plan of the facility is as follows:
The facility is a square building with only one main entrance located in the center of the south wall. Upon entering the main entrance, there is a central corridor extending straight to the north.
On the east side (right-hand side) of the central corridor, there are three rooms, ordered from south to north: the Storage Room (closest to the entrance), then Laboratory A, and the Archives Room at the northernmost end.
On the west side (left-hand side) of the central corridor, there are two rooms: the Conference Room (which occupies the length from the entrance to the middle of the corridor), and the Lounge north of the Conference Room.
At the end of the central corridor (northernmost end) is a door leading to the Director's Office. The Director's Office spans the entire width of the corridor.
Intelligence Update 1:
According to the latest intelligence, the target document is most likely stored in either the Archives Room or the Director's Office. However, Laboratory A has infrared sensors active at night, which will trigger an alarm if tripped. The Storage Room's door is usually locked, but rumor has it that a spare key is hidden at the bottom of a potted plant somewhere in the Conference Room. The Archives Room door has an electronic lock whose password changes daily, but the Director's Office door has a traditional lock that can be picked with tools.
Intelligence Update 2:
Your infiltration time is very limited, roughly 15 minutes only. The straight-line walking time from the main entrance to the Director's Office is about 2 minutes. Picking the lock of the Director's Office takes 5-7 minutes. Finding a specific document in the Archives Room takes an average of 3-5 minutes (assuming you can enter). Entering the Conference Room to find the key, proceeding to the Storage Room (if choosing this path), and then to the Archives Room will take at least 8-10 minutes for the entire process, with no guarantee of finding either the key or the document. Heading directly to the Archives Room and assuming you can open the electronic lock by some unknown means (like a hacking tool, which you don't have), searching for the document would also take 3-5 minutes.
Question:
Considering all the information and aiming to retrieve the document with the highest success rate within the limited time, which of the following action plans is the most rational?","[""Try to enter the Conference Room to look for the key, if found, go to the Storage Room to see if there are any clues, and then go to the Archives Room."",""Head directly to Laboratory A, pass through it quickly, and then enter the Archives Room to look for the document."",""Avoid Laboratory A, head directly to the Director's Office, focus your time on picking the door lock and searching for the document inside the office."",""Wait in the central corridor, hoping someone enters or exits the Archives Room or Director's Office and slip in during that chance.""]",2
spatial perception and action,"Conversation log starts:
Controller: ""Search and Rescue Team Alpha, this is Base. We received a distress signal from a hiker. His last known coordinates are roughly 2 kilometers southeast of 'Eagle Beak Rock', but the signal is very weak and unstable. The terrain in that area is complex, mainly dense forest and several streams.""
Alpha Team Leader: ""Copy that, Base. We are currently at the 'Three Forks Stream Confluence'; the map shows this is about 3 kilometers due west of 'Eagle Beak Rock'. We have two route options to reach the target area: Route 1, follow the main stream eastward, the map indicates this path is relatively gentle but might require crossing the water multiple times; Route 2, climb directly over 'Wild Boar Ridge' to the southeast, this path has the shortest straight-line distance, but the map shows the slope is extremely steep and the vegetation is dense.""
Controller: ""Alpha Team Leader, the weather forecast indicates there may be heavy rainfall in that area within the next hour, and the stream water level may rise rapidly. Furthermore, the missing person mentioned his ankle might be injured, limiting his mobility.""
Alpha Team Leader: ""Understood. If we choose Route 1, it's expected to take 2 hours. If we choose Route 2, although the straight-line distance is shorter, considering the terrain and vegetation, it might also take 1.5 to 2 hours and will be more physically demanding. We need to get there as quickly as possible.""
Controller: ""The missing person reported he can see the peak of 'Eagle Beak Rock' to his northwest, and can hear a continuous sound of flowing water, which feels relatively close, coming from his east.""
Question:
Synthesizing all the conversation information, and considering the urgency of time, weather risks, the missing person's condition, and the additional spatial clues provided by the missing person, which route should Search and Rescue Team Alpha prioritize, and what is the primary basis for this decision?","[""Choose Route 1 (along the stream) because the missing person might be near a stream, and this path is gentler, despite the risks of wading and water levels rising due to rain."",""Choose Route 2 (over the ridge) because it is the shortest straight-line route and completely avoids the risk of rising streams, despite the harsh terrain and physical exhaustion."",""Request helicopter support from Base because ground route risks are both high and time-consuming, making it impossible to guarantee a fast and safe arrival."",""Split up, one group takes Route 1, and the other takes Route 2, to increase the probability of finding the missing person, even though it will divide the rescue force.""]",0
spatial memory and representation,"Dialogue 1: In a large modern logistics warehouse, the internal space is clearly divided into four main areas to facilitate management: Area A, Area B, Area C, and Area D. If looking down from above, these four areas are arranged roughly in a clockwise direction, with Area A in the northwest corner, Area B in the northeast corner, Area C in the southeast corner, and Area D in the southwest corner. The initial goods storage state when the warehouse was put into use was: Area A mainly stored various electronic products, Area B was stacked with a large number of clothing and textiles, Area C was used to store bulky household items, and Area D stored various books and paper products.
Dialogue 2: After the first month of operation, the warehouse underwent its first large-scale adjustment. In order to achieve centralized and rapid sorting of electronic products, management decided to transfer half of the electronic products stored in Area A to Area C, to be stored together with the existing household items. At the same time, to free up space for upcoming seasonal clothing, all the clothing and textiles originally stored in Area B were completely transferred to Area A.
Dialogue 3: After another period, the warehouse underwent a second adjustment. Since Area C became severely short of space after receiving a large number of electronic products, management decided to pack up and transfer all the household items originally stored in Area C, along with the half of the electronic products transferred from Area A during the first adjustment, entirely to Area D, mixing them with the books originally in that area. Meanwhile, the emptied Area B was temporarily converted into an office area for employee rest and paperwork processing.
Dialogue 4: Finally, just before the latest inventory check, for operational convenience, management decided to temporarily move all the books stored in Area D to Area C, which was empty of other goods at that time, for centralized safekeeping. The status of the remaining goods in Area A and Area D, as well as the office usage of Area B, remained unchanged during this adjustment.
Question 1: According to Dialogue 1, in the initial state, which area were the household items stored in?
Question 2: After the first adjustment, what goods were mainly stored in Area A?
Question 3: After the second adjustment, what types of goods were stored in Area D?
Question 4: After all these phased adjustments, a warehouse worker receives an instruction: he needs to first go to Area A to pick up a clothing sample from inventory, then go to Area D to find an inventory record of a specific household item previously stored in Area C (assuming records move with the goods), and finally, he needs to go to Area C to verify a rare book originally belonging to Area D's inventory. Considering efficiency, what is his most streamlined movement route, sequentially passing through which areas after leaving Area A (including the final stop at Area C)?","[""Area A"",""Area B"",""Area C"",""Area D"";""Electronic products and clothing"",""Only clothing"",""Only electronic products"",""Household items and electronic products"";""Only books"",""Books and household items"",""Books, household items, and some electronic products"",""Only household items and electronic products"";""Go to Area C to find the book first, then go to Area D to find the record."",""Go to Area D to find the record first, then go to Area C to find the book."",""Go to Area B to inquire first, then go to Area D, and finally go to Area C."",""Go to Area D to find the record first, then go to Area B to rest, and finally go to Area C.""]",[2;0;2;1]
spatial memory and representation,"Dialogue 1: Imagine an ancient city full of historical charm. At the core of its well-preserved historical district is a straight east-west main road named ""Central Avenue"". According to old maps handed down, decades ago, on the north side of the avenue, starting from the west, three important landmark buildings were arranged in sequence: first, a towering bell tower (L1); next, a bustling marketplace (L2); and further east, a locally famous old teahouse (L3).
Dialogue 2: On the south side of ""Central Avenue"", there were also some notable landmarks. Directly opposite the location of the marketplace back then (L2), spanning a small river, was an ancient stone bridge (L4). Not far east of the stone bridge was a silver jewelry shop (L5) that had been run for generations. This was the scene decades ago.
Dialogue 3: However, with the passage of time, this historical district has also undergone some significant changes. Decades ago, an unfortunate fire destroyed the marketplace (L2). The marketplace was not rebuilt on its original site; instead, it was transformed into a small plaza park for citizens to rest. Around the same time, because the old teahouse (L3) had a booming business and needed to expand its operating area, it relocated about 50 meters to the east to open a new shop, and its original site was replaced by a newly opened bookstore. Fortunately, the bell tower (L1), the stone bridge (L4), and the silver jewelry shop (L5) have weathered the years and basically maintained their original appearance and locations.
Dialogue 4: Now, a tourist interested in history comes to this district holding a replicated old map (showing the layout from decades ago) and the latest travel guide. He plans to start from the still-standing bell tower (L1) and wants to sequentially visit the exact location of the marketplace (L2) marked on the old map, the original site of the old teahouse (L3), and the stone bridge (L4) spanning the small river.
Question 1: According to the description of the old map in Dialogue 1, in which direction was the old teahouse (L3) located relative to the bell tower (L1)?
Question 2: According to the old map, walking in which direction from the stone bridge (L4) would lead you to the silver jewelry shop (L5)?
Question 3: According to Dialogue 3, where is the actual current location of the old teahouse relative to its original site (which is now a bookstore)?
Question 4: Considering the tourist's plan, the information on his old map, and the actual changes that have occurred in the district, after he sets off from the bell tower (L1), what is the most reasonable and accurate visiting sequence to find his target locations (or their original sites), and what current landmarks should these locations correspond to?","[""West"",""East"",""South"",""North"";""Walk west"",""Walk east"",""Walk south"",""Walk north"";""About 50 meters west of the original site"",""About 50 meters east of the original site"",""South of the original site"",""North of the original site"";""Walk east to the small plaza park (corresponding to the original L2 location), then continue east to the bookstore (corresponding to the original L3 site), and then cross Central Avenue southward to reach the stone bridge (L4)."",""Walk east to the small plaza park (corresponding to the original L2 location), then directly cross Central Avenue southward to reach the stone bridge (L4), and finally return to the north side of the avenue to head east and find the bookstore (corresponding to the original L3 site)."",""Walk east all the way to the current new location of the old teahouse, then turn back west to find the bookstore (corresponding to the original L3 site), then go further west to reach the small plaza park (corresponding to the original L2 location), and finally cross Central Avenue to reach the stone bridge (L4)."",""First cross Central Avenue southward to reach the stone bridge (L4), then return to the north side of the avenue and walk east to the bookstore (corresponding to the original L3 site), and finally head west to the small plaza park (corresponding to the original L2 location).""]",[1;1;10]
spatial memory and representation,"Dialogue 1: Let me introduce a modern 10-story multi-functional office building. When it was initially put into use, the functions and departmental distributions of each floor were arranged as follows: The 1st floor serves as the facade, featuring a spacious reception lobby and a cafe open to the public. The 2nd floor houses the Administration Department, which handles daily affairs. The 3rd floor houses the Finance Department, responsible for financial management and accounting. The 4th floor is the Marketing Department, responsible for marketing and sales. Both the 5th and 6th floors are allocated to the R&D departments, with R&D Team A on the 5th floor and R&D Team B on the 6th floor. The 7th floor is the Technical Support Department, providing technical support and customer service. The 8th floor has multiple meeting rooms of various sizes, serving as a conference center. The 9th floor is the staff cafeteria. The highest floor, the 10th floor, contains the offices for the company's top executives.
Dialogue 2: After a period of operation, the company underwent its first internal structural adjustment. In order to integrate resources and improve R&D efficiency, management decided to relocate the entire R&D Team B from the 6th floor to the 4th floor, where the Marketing Department was originally located. The original Marketing Department was completely relocated to the 6th floor, which was vacated by R&D Team B. At the same time, to facilitate cross-departmental coordination, the Finance Department (originally 3rd floor) and the Administration Department (originally 2nd floor) swapped office floors. The departments and functions on all other floors remained unchanged.
Dialogue 3: With the rapid expansion of the company's business, a second adjustment was recently made. Management decided to establish a brand-new ""Innovation Incubation Center"" focusing on exploring cutting-edge technologies, and set it up on the 7th floor, where the Technical Support Department was originally located. As a result, the original Technical Support Department was split and reorganized: half of the core technical staff merged into R&D Team A on the 5th floor to strengthen core R&D capabilities; the other half, responsible for customer support, moved to a portion of the space carved out from the original staff cafeteria (9th floor) to continue their work, thereby reducing the size of the staff cafeteria, which remained on the 9th floor. In addition, to improve the visitor experience and internal communication convenience, the cafe on the 1st floor was relocated to the 2nd floor, which is the floor where the Finance Department was located after the first adjustment.
Question 1: According to Dialogue 1, in the initial state, which floors were the Marketing Department and R&D Team B on, respectively?
Question 2: After the first adjustment, which departments were on the 4th floor and 2nd floor, respectively?
Question 3: After these two complex adjustments, an external partner plans to visit the company. He needs to first go to R&D Team A on the 5th floor for technical discussions with relevant personnel, then he wants to go to the newly established ""Innovation Incubation Center"" to observe the situation, and finally, he plans to meet with an administrative staff member of the company at the cafe on the 1st or 2nd floor. Considering the final layout of the building, what should be his most reasonable and efficient sequence of floor movements?","[""Marketing Dept 4th floor, R&D Team B 5th floor"",""Marketing Dept 4th floor, R&D Team B 6th floor"",""Marketing Dept 3rd floor, R&D Team B 6th floor"",""Marketing Dept 5th floor, R&D Team B 4th floor"";""4th floor Marketing Dept, 2nd floor Administration Dept"",""4th floor R&D Team B, 2nd floor Finance Dept"",""4th floor R&D Team B, 2nd floor Administration Dept"",""4th floor Marketing Dept, 2nd floor Finance Dept"";""First take the elevator to the 5th floor (R&D Team A), then go down to the 7th floor (Innovation Center), and finally go down to the 1st floor (to find the cafe, but it has moved)."",""First take the elevator to the 5th floor (R&D Team A), then go up to the 9th floor (to find Technical Support staff), and finally go down to the 2nd floor (Cafe)."",""First take the elevator to the 5th floor (R&D Team A), then go up to the 7th floor (Innovation Center), and finally go down to the 2nd floor (Cafe)."",""First take the elevator to the 7th floor (Innovation Center), then go down to the 5th floor (R&D Team A), and finally go down to the 1st floor (original cafe location).""]",[1;1;2]