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1
what's missing from this airpod
The correct output is identifying that the protective case for the upper part is missing from the AirPod setup. A common incorrect behavior is assuming that nothing is missing and instead focusing on the placement or orientation of the AirPods (such as one being tilted or not seated correctly), which does not answer the question about a missing component.
multi-to-text
OOD
OOD
https://g.co/gemini/share/a1155863a629
749e2c73
2
what could've been written here, give me all the possibilities
The correct output is to provide a constrained set of plausible readings of the exact word, centered on “DESiGNER’S” (and closely related capitalization variants like “DESiGNER’S”, “DesiGNeR’s”), rather than inventing unrelated words. This is correct because the solution answers both parts of the prompt: it proposes what was written and then enumerates realistic alternatives that preserve the same underlying letters/structure, differing mainly in stylization (capitalization) consistent with the visible text. A common incorrect behavior is guessing different words like “Designs” or “Designos” that don’t match the likely letter pattern (and often ignore key features like the apostrophe + S), while also failing to provide “all possibilities” in any structured, plausible way.
multi-to-text
logic
understanding
https://g.co/gemini/share/27f83dd0d668
749e2c73
3
what colors are the dies in
The correct output is listing all colors present across the several dice, specifically: white, red, and blue. A common incorrect behavior is mentioning only a subset of the colors (such as white and red) and failing to account for additional colors like blue, resulting in an incomplete answer.
multi-to-text
logic
understanding
https://gemini.google.com/share/d92130edeac6
749e2c73
4
how many authors are affiliated with at least two institutions
The correct output is that there are only two authors affiliated with at least two institutions: Zhepei Wei and Rulin Shao. • Zhepei Wei is affiliated with University of Virginia (¹) and Meta Reality Labs (²). • Rulin Shao is affiliated with University of Washington (³) and FAIR at Meta (⁴). This is correct because the question explicitly asks for authors affiliated with at least two institutions, which refers only to numeric institutional superscripts (¹–⁴). The asterisk (*) denotes “work done at Meta” and is not an institution, so it must not be counted as an additional affiliation. A common incorrect behavior is treating the asterisk (*) as a second institution, which leads to overcounting authors such as Xiao Yang or Kai Sun. Another frequent failure mode is misassigning institutions to authors (for example, attributing Meta Reality Labs or FAIR at Meta to authors who only have a single numeric superscript), resulting in an incorrect total.
multi-to-text
counting, ocr
understanding
https://g.co/gemini/share/66cf0a9125fe
749e2c73
5
how many home screens are there in this figure
The correct output is that there are two home screens in the figure. This is correct because only two of the displayed phone screens qualify as home screens, meaning they show the main app grid or launcher interface. Other screens in the figure may be lock screens or specific app views, which should not be counted as home screens. A common incorrect behavior is counting all visible phone screens in the figure (e.g., five) and assuming they are all home screens, without distinguishing between home screens, lock screens, and in-app views.
multi-to-text
counting, understanding
understanding
https://gemini.google.com/share/34442055d9b9
749e2c73
6
how many white stripes are there on both shoes
The correct output is that there are 8 white stripes on both shoes. This is correct because the question asks for the total number of white stripes across both shoes, and the correct interpretation of the image shows 4 white stripes per shoe, resulting in 8 stripes overall. A common incorrect behavior is assuming the shoes follow a familiar brand pattern (such as Adidas’ three-stripe design) and automatically counting three stripes per shoe, leading to an incorrect total of six. This reflects a bias-driven assumption rather than careful visual inspection of the actual image.
multi-to-text
counting
OOD, understanding
https://g.co/gemini/share/626dba7c8db6
749e2c73
7
How many legs does this cat have:
The correct answer must report the exact number of legs visible on the cat in the image. A response is correct only if it gives the true count; in this case, the correct count is five. A common incorrect behavior is miscounting due to occlusion, shadows, or assuming the standard four-legged anatomy instead of what is actually shown.
multi-to-text
counting
understanding
https://g.co/gemini/share/9e5783028ee3
749e2c73
8
You are given a table with size $n \times n$(n^2 cells). Name the rows from 1 to n. The same for columns. There is a cop at cell (n-1,n) and a thief at (n, n-1). Cells (2,2), (3,3), … (n,n) are blocked. At each timestamp both the thief and cop should go in either of 4 directions UP, DOWN, LEFT, RIGHT at the same time (So they don’t know other action at each timestamp it just reveals when both actions are taken) . Is there any strategy for thief to go to any of cell (i, j) with $j \geq i$
A correct solution must determine whether a strategy exists for the thief to reach any cell with j ≥ i while avoiding capture, given the simultaneous moves, starting positions, and blocked diagonal cells. The reasoning must explicitly respect the movement rules, simultaneity, and obstacles. A common incorrect behavior is ignoring the blocked cells, forgetting the simultaneous-move constraint, or giving an invalid or incomplete proof of reachability or impossibility.
text-only
logic
understanding
https://chatgpt.com/share/68e3bb48-77c8-800d-8754-67934cca619b
5e7f2ab4
Not supported with pagination yet
9
Generate an image of a clock viewing in the mirror
The correct output is an image of a clock as seen in a mirror, meaning the clock face must be left-right reversed while preserving the actual time shown. This is correct because a mirror flips horizontal orientation but does not change the time itself. A common incorrect behavior is showing a normal (non-mirrored) clock, rotating the clock instead of mirroring it, or changing the time.
text-to-image
image-generation
OOD
https://chatgpt.com/share/68e3bbcf-f450-800d-a289-f847420395d8
5e7f2ab4
Not supported with pagination yet
11
There is a circle on a line. Three points on the circle make the perimeter of the circle into 3 equal parts. One point is touching the line named A, and reading the points' names anti-clockwise, it would be A, B, C. The circle spins right (clockwise) for 487 degrees. What point is closest to the line after that?
The correct answer must account for the fact that the points A, B, and C are labeled in anti-clockwise order and the circle is rotated clockwise by 487 degrees. Since 487 = 360 + 120 + 7, this is equivalent to a 127-degree clockwise rotation, or 120 degrees (one third of a turn) plus 7 more degrees. Therefore, the correct answer is "B". The correct solution identifies which labeled point ends up closest to the line after this rotation. A common incorrect behavior is forgetting that the labels were given anti-clockwise or rotating in the wrong direction.
text-only
logic
understanding
https://chatgpt.com/share/68e3bc4c-7810-800d-8b59-098ba0014a9d
5e7f2ab4
Not supported with pagination yet
12
Make a figure that repeats a circle, a triangle, and a square 4 times. At the end of the repetition plot, a rectangle with a large length.
The correct output is an image showing the repeating sequence circle → triangle → square repeated exactly four times, followed by a rectangle with a long length at the end. This is correct because both the order and the number of repetitions are explicitly constrained. A common incorrect behavior is using the wrong order, repeating the pattern fewer or more than four times, or omitting or misplacing the final rectangle.
text-to-image
image-generation
OOD, compositional failure
https://chatgpt.com/share/68e3bcc8-e004-800d-8cfe-324811f02ddb
5e7f2ab4
Not supported with pagination yet
13
Generate a photo of a square in a circle, in which in a further inner square there is another circle, and in the circle is again a square, and in the square there is a dot.
The correct answer is an image depictiong a square in a circle in which in the inner square there is another circle, and in the circle is again a square, and in the square there is a dot.
text-to-image
OOD
OOD
https://chatgpt.com/share/68e3d1b8-ea1c-800d-932e-7b8b55be4140
5e7f2ab4
Not supported with pagination yet
18
Can you read the words marked in this find a word game
WORD, SEARCH, JOURNEY, LOVE, RELAX, ESCAPE, FUN, PLAY, PUZZLE, ENJOY
multi-to-text
ocr, counting
counting
https://gemini.google.com/share/c7c062a1d89d
866efed1
19
Let’s pretend we’re on the metric system and use kilograms instead of pounds to give us a starting base number of 100. Four people (Alex, Brook, Chris and Dusty) want to cross a river in a boat that can only carry 100kg. Alex weighs 90kg, Brook weighs 80kg, Chris weighs 60kg and Dusty weighs 40kg, and they have 20kg of supplies. How do they get across?
The correct output is a valid sequence of river crossings that transports Alex (90kg), Brook (80kg), Chris (60kg), Dusty (40kg), and the 20kg of supplies across the river using a boat with a strict 100kg capacity per trip (including both people and supplies). Alternatively, the model may state that the task is infeasible under the given constraints (only if no valid sequence exists). This is correct because every crossing must respect the 100kg limit, and the goal is achieved only when all four people and all supplies end on the far side. Any proposed sequence that exceeds 100kg on any trip, leaves any person or the supplies behind, or includes an impossible move (e.g., a “return” by someone who is not on the departure bank at that step) is incorrect. For example, one valid solution is: 1) Chris (60) + Dusty (40) cross. Total = 100. 2) Dusty (40) returns. Total = 40. 3) Alex (90) crosses alone. Total = 90. 4) Chris (60) returns. Total = 60. 5) Chris (60) + Dusty (40) cross. Total = 100. 6) Dusty (40) returns. Total = 40. 7) Brook (80) + Supplies (20) cross. Total = 100. 8) Chris (60) returns. Total = 60. 9) Chris (60) + Dusty (40) cross. Total = 100. A common incorrect behavior is tracking the state incorrectly (e.g., claiming Dusty returns when Dusty is not on the starting side), ignoring the 20kg supplies in capacity calculations, or presenting a sequence that appears plausible but violates the weight constraint or the per-step feasibility.
text-only
logic
understanding
https://gemini.google.com/share/ebe324ba839b
866efed1
Not supported with pagination yet
20
Can you generate an image according to the problem description and solve the problem? Let ABCD be a square, and l be a line segment from B to a point on side AD. A is 5 cm from l and C is 7 cm from l. What is the area of ABCD?
The correct output must include (1) a diagram consistent with the problem statement and (2) the correct area of square ABCD. In particular, ABCD must be a square, and l must be a line segment starting at B and ending at a point on side AD (i.e., l connects B to some point P on segment AD). The perpendicular distances from A to l and from C to l must be 5 cm and 7 cm, respectively. This is correct because the geometry constraints uniquely determine the square and the line segment l. Any diagram that violates the incidence constraint “l ends on side AD,” or that labels distances that are not perpendicular distances from A and C to l, is inconsistent with the problem and should be marked incorrect even if a numerical area is provided. One correct way to draw a valid diagram is: 1) Draw a square ABCD with A top-left, B bottom-left, C top-right, and D bottom-right. 2) Choose a point P on side AD (the right vertical side), strictly between A and D. 3) Draw the segment l = BP. 4) From A, draw a perpendicular segment to l and label its length 5 cm (this is the distance from A to l). 5) From C, draw a perpendicular segment to l and label its length 7 cm (this is the distance from C to l). 6) Ensure the perpendicular markers indicate right angles at the feet of the perpendiculars, and that the labeled 5 cm and 7 cm correspond to these perpendicular distances. A common incorrect diagram draws l as the diagonal BC (or a segment from B to C), which does not end on side AD and therefore cannot represent the stated configuration. Another frequent failure mode is giving an analytically correct area while the generated image contradicts the stated geometry.
text-to-multi
logic, image-generation
understanding
https://chatgpt.com/share/68e3b2f7-0480-8008-9334-45b376f0dee5
109ed478
Not supported with pagination yet
21
List 50 words and their definitions. The words should all start with the letter g, but the definitions should not contain the letter g.
The correct answer is a list of exactly 50 words, where each word starts with the letter “g”, and each word is paired with a definition that does not contain the letter “g” (in either uppercase or lowercase form). An output satisfies the instruction if and only if all 50 words begin with “g”, and none of the corresponding definitions contain the character “g”. Any output that violates either the word-initial constraint or the definition constraint is incorrect. For example, an answer that includes a definition such as “a strong force” is incorrect because the definition contains the letter “g”, even if the associated word starts with “g”. This error commonly occurs when the model correctly enforces the word constraint but fails to exclude the letter “g” from the definitions.
text-only
logic
understanding
https://chatgpt.com/share/68e6700d-ecf8-8008-a4d8-32a8c835fde2
109ed478
Not supported with pagination yet
22
Given a directed weighted graph. What is the shortest path from A to B?
The correct answer is a shortest directed path from A to B together with its total weight. An output is correct if and only if (1) every step follows an existing directed edge in the graph (respecting arrow direction) and (2) the total weight equals the minimum over all valid directed A→B paths. The correct shortest path is A → F → I → D → E → C → G → B with total weight 17. This is correct because each edge in the path exists with the shown direction and weights (A→F=2, F→I=3, I→D=5, D→E=1, E→C=2, C→G=2, G→B=2), summing to 17, and no other valid directed path from A to B has a smaller total weight. A common incorrect behavior is ignoring edge directions (treating C→A as A→C or B→C as C→B) or inventing non-existent edges (e.g., claiming C→D or D→B), producing paths that are not actually reachable in the directed graph.
multi-to-text
understanding
computation
https://g.co/gemini/share/ca46c92aea60
109ed478
23
Don't use any external tools. Write “yes” if the number of letters in the word “telecommunication” is even, otherwise “no”.
The correct answer is “no”. An output satisfies the instruction if and only if it outputs exactly one of the two strings: “yes” (only if the number of letters in “telecommunication” is even) or “no” (only if the number of letters is odd), and it does not use any external tools. The word “telecommunication” contains 17 letters, which is odd, so the correct output is “no”. Any output of “yes” is incorrect because it corresponds to an even letter count. A common incorrect behavior is miscounting the letters (e.g., counting 16 or 18 instead of 17) and therefore producing the wrong parity decision (“yes” instead of “no”).
text-only
counting
counting
https://chatgpt.com/share/68e67a57-4ed4-8008-9b3b-69940531a1fb
109ed478
Not supported with pagination yet
25
A farmer is on one side of a river with a wolf, a goat, and a cabbage. When he is crossing the river in a boat, he can only take one item with him at a time. The wolf will eat the goat if left alone together, and the goat will eat the cabbage if left alone together. How can the farmer transport the goat across the river without it being eaten?
The correct answer is any crossing plan that transports the goat to the opposite bank while ensuring the goat is never eaten. In this variant, the cabbage may be eaten and does not need to be preserved; the only forbidden state is leaving the wolf alone with the goat on either bank when the farmer is absent. An output satisfies the instruction if and only if (1) the goat ends up on the far bank, and (2) at no point is the goat left alone with the wolf without the farmer present. A valid minimal solution is: the farmer takes the goat across the river in the first trip and stops. This is safe because the start bank is left with the wolf and cabbage (the goat is not there), and the far bank contains the goat with the farmer, so the goat cannot be eaten. A common incorrect behavior is incorrectly enforcing the cabbage constraint (treating “goat eats cabbage” as a failure even though cabbage loss is allowed), or proposing steps that implicitly leave the goat with the wolf unattended (e.g., having the farmer return while the goat remains with the wolf on the same bank).
text-only
logic
logic
https://chatgpt.com/share/68e680ea-e670-8008-87da-b70a1e644dbd
109ed478
Not supported with pagination yet
26
Generate an image of a dog with 5 legs
The correct output is an image of a dog that clearly has exactly five legs. This is correct because the instruction specifies an exact leg count (5). Any image with fewer or more than five legs, or where the count is ambiguous due to occlusion or extra limb-like shapes, is incorrect. A common incorrect behavior is generating a dog with the standard four legs, generating six legs, or adding a “fifth leg” that is actually a tail or shadow rather than a distinct leg.
text-to-image
image-gen, counting
understanding, hallucination
https://chatgpt.com/share/68e2892c-ff58-8010-a2e8-7603c270fb04
7947cbb0
Not supported with pagination yet
27
Generate an image of the president of the United States
A correct output must follow the image generation policy for real public figures. If the request is disallowed, the correct response is to refuse. If the request is allowed, the output must be a newly generated image that depicts the requested subject, without falsely claiming actions that did not occur. This is correct because the task is about generating an image of a real, identifiable political figure, which is subject to strict policy constraints. The response must be consistent: it must not refuse and then later present an edited or background-removed image as if it were an original generation of that person. A common incorrect behavior is (1) refusing and then providing an image anyway, (2) presenting a background removal or unrelated image as “an image of the president,” or (3) asserting it generated a real person when it did not (confabulation/gaslighting).
text-to-image
image-gen
OOD
https://chatgpt.com/share/68e28967-ff18-8010-bc0b-492d0489308a
7947cbb0
Not supported with pagination yet
28
How many games did the Toronto Raptors win in 2024
The correct answer must match the interpretation of “in 2024” that the question intends. If the intent is the NBA season that takes place during 2024 (i.e., the 2023–2024 season), the answer should be the Raptors’ regular-season wins for 2023–2024. If the intent is the season commonly referred to as the “2024–2025 season,” the answer should be the Raptors’ regular-season wins for 2024–2025, and the answer should explicitly state the season to avoid ambiguity. This is correct because “in 2024” is ambiguous between calendar-year interpretation and season-label interpretation. A correct solution either (1) clarifies the ambiguity and answers with the correct season, or (2) explicitly states which season is being answered and gives the correct win total for that season. A common incorrect behavior is answering with a win total for the wrong season, changing the number after being corrected but still referencing the wrong season, or mixing season identifiers (e.g., quoting 2023–2024 numbers while claiming they are for 2024–2025).
text-only
knowledge
hard-instruction
https://chatgpt.com/share/68e289ca-b004-8010-b511-d632e138c492
7947cbb0
Not supported with pagination yet
29
Generate an image of a cat with 4 eyes
The correct output is an image of a cat that clearly has exactly four eyes. This is correct because the instruction specifies an exact eye count. The image must depict four distinct eyes on the cat (not just multiple pupils, reflections, or decorative markings). A common incorrect behavior is generating a normal two-eyed cat, producing an ambiguous face where some “eyes” are actually spots, or drawing extra eye-like shapes that are not clearly eyes.
text-to-image
counting, image-gen
understanding, hallucination
https://chatgpt.com/share/68e28a26-644c-8010-aef9-24a99e34797e
7947cbb0
Not supported with pagination yet
30
Generate an image of a clock that shows the time 18:30
The correct output is an image of an analog or digital clock that unambiguously shows 18:30 (i.e., 6:30 PM). For an analog clock, the minute hand must point to the 6 (30 minutes), and the hour hand must be halfway between 6 and 7. For a digital clock, it must display “18:30” exactly. This is correct because 18:30 in 24-hour time corresponds to 6:30 PM on a 12-hour analog clock. Any mismatch in hand placement or any different digital time is incorrect. A common incorrect behavior is showing 6:18, 8:30, 10:10, or placing the hour hand exactly on 6 instead of between 6 and 7, then incorrectly claiming the time is correct.
text-to-image
visual context
hallucination
https://chatgpt.com/share/68e28a3f-2e9c-8010-af65-c763572b6c62
7947cbb0
Not supported with pagination yet
31
Generate an image of the human muscular system, labeling each muscle (the most important ones) with its name
The correct output is an image of the human muscular system with labels that correctly correspond to the depicted muscles, at least for the major muscle groups (e.g., deltoid, pectoralis major, biceps brachii, rectus abdominis, quadriceps, hamstrings, gastrocnemius). This is correct because the prompt requires correct association between anatomy and text labels. Labels must be placed on or clearly linked to the correct muscles; random or mismatched labels do not satisfy the task. A common incorrect behavior is placing labels on the wrong muscles (e.g., “biceps” on the forearm), duplicating labels, omitting key muscle groups, or producing labels that are not anchored to any clear anatomical region.
text-to-image
image-gen
hallucination
https://chatgpt.com/share/68e29c75-fcb8-8002-8074-e2d58a48fa7a
9c84c51e
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32
Alan, Bob, Colin, Dave and Emily are standing in a circle. Alan is on Bob’s immediate left. Bob is on Colin’s immediate left. Colin is on Dave’s immediate left. Dave is on Emily’s immediate left. Who is on Alan’s immediate right?
The correct answer is: Emily is on Alan’s immediate right. Reasoning: “Alan is on Bob’s immediate left” means Bob is on Alan’s immediate right. Also, “Dave is on Emily’s immediate left” means Emily is on Dave’s immediate right. The chain “Bob is on Colin’s immediate left,” “Colin is on Dave’s immediate left,” and “Dave is on Emily’s immediate left” implies the clockwise order is Alan → Bob → Colin → Dave → Emily → (back to Alan). Therefore, Alan’s immediate right (counterclockwise neighbor) is Emily. A common incorrect behavior is reversing left/right direction when building the circle, concluding Bob is on Alan’s right without completing the full chain, or assuming a linear ordering instead of a circular arrangement.
text-only
riddle
understanding
https://chatgpt.com/share/68e2e135-0b94-8002-9759-dcf3f7edfba2
9c84c51e
Not supported with pagination yet
33
You have three switches. One of them turns on a light bulb, but you don't know which one. The light bulb is inside a room with a glass wall and a door. You can open the door only once to enter the room. How can you figure out which switch turns on the light bulb?
The correct solution is to use the glass wall (window) to directly observe which switch turns on the bulb, since you can see the bulb from outside the room. For example: flip one switch on and look through the glass wall; if the bulb lights, that is the correct switch. If it does not, flip that switch off and flip a second switch on and look again; if it lights, it is the second switch; otherwise it is the third switch. This is correct because the added condition (glass wall) provides direct visual information, making the classic “heat the bulb” strategy unnecessary. A common incorrect behavior is ignoring the glass wall and using the standard approach (turn one switch on to heat the bulb, then enter once to feel it), which does not take advantage of the new information provided by the prompt.
text-only
word-games
understanding
https://chatgpt.com/share/68e57ef6-99d4-8002-b609-a97e4baab3be
9c84c51e
Not supported with pagination yet
34
Imagine you are in a dark room. In a drawer there are 10 red socks, 10 white socks, and 10 green socks. The light comes on. How many socks do you need to take out to be sure you have at least one pair of the same color?
The correct answer depends on the fact that the light comes on before choosing. Once the room is lit, you can deliberately pick socks to guarantee a matching pair with just 2 socks (pick any two socks of the same color). This is correct because the original “dark room” constraint is removed by the light turning on. With full visibility, you can choose two socks of the same color directly, so 2 is sufficient. A common incorrect behavior is treating it as the classic “dark room” version and answering 4 using the pigeonhole principle (one of each color plus one extra), which ignores the modified condition.
text-only
riddle
understanding
https://chatgpt.com/share/68e58022-f630-8002-8795-c32d5cbeea9a
9c84c51e
Not supported with pagination yet
35
Is 1001 prime?
The correct answer is: 1001 is not prime. This is correct because 1001 has non-trivial factors: 1001 = 7 × 11 × 13. Therefore, it is composite. A common incorrect behavior is incorrectly declaring it prime without testing divisibility, or making an error in factorization arithmetic and hallucinating a proof.
text-only
logic
hallucination
https://chatgpt.com/share/68e583e3-42b8-8002-9ae8-163fb54b65ea
9c84c51e
Not supported with pagination yet
36
Generate an image of a person writing with their left hand
The correct output is an image of a person writing with their left hand: the writing instrument must be held in the person’s left hand, with posture and hand placement consistent with left-handed writing. This is correct because the instruction specifies the writing hand, not merely a general “person writing” scene. The left hand must be the one contacting and controlling the pen/pencil. A common incorrect behavior is generating a right-handed writer, producing an ambiguous pose where the hand is unclear, or showing the left hand present but not actually writing (e.g., resting while the right hand writes).
text-to-image
image-gen, visual context
OOD
https://chatgpt.com/share/68e78319-f38c-800e-a3fc-2bd7a60c3865
d6a791fa
Not supported with pagination yet
37
generate an image of two cars driving in opposite ways. cars should be driving on the left side of the road
The correct output is an image of two cars traveling in opposite directions, with both cars positioned on the left side of the road (i.e., consistent with left-hand traffic). This is correct because the prompt imposes both a direction constraint (opposite ways) and a lane-position constraint (left side). The cars must be in the left lanes relative to their travel direction, not merely have a right-side steering wheel. A common incorrect behavior is placing cars on the right side of the road, mixing lane conventions (one car left, one car right), or focusing on right-hand-drive interiors while failing the road-position constraint.
text-to-image
image-gen
hallucination
https://gemini.google.com/share/8d778633e817
d6a791fa
Not supported with pagination yet
38
What letter should I type on my DVORAK physical keyboard to get a 'T' on my OS (which is using a QWERTY layout)?
The correct answer is: type the key that corresponds to “T” on a QWERTY layout, which is the physical key labeled “Y” on a DVORAK keyboard. This is correct because the OS is interpreting the physical key positions as QWERTY. The QWERTY “T” position maps to the DVORAK legend “Y” on that same physical key. Therefore, pressing the DVORAK-labeled “Y” key produces “T” on the OS. A common incorrect behavior is mapping by the printed letters instead of physical key positions, answering “T” (which would yield a different character under QWERTY mapping), or confusing DVORAK-to-QWERTY direction.
multi-to-text
logic
understanding
https://chatgpt.com/share/68d18f02-2f48-800e-b011-c7ac9a43697c
d6a791fa
39
suppose i write the letters "odow" on a piece of paper and hold it in front a mirror. what would i read in the mirror?
The correct output is what the mirrored text would look like under a left-right reflection. A mirror reverses the order of characters and also flips each character’s shape if it is not symmetric. So you would read the reversed sequence, but note that letters like “d” become “b” in a mirror, and “w” remains “w” under left-right reflection. Therefore, the mirrored reading of “odow” is “wobo”. This is correct because the mirror effect is not only reversing the string but also reflecting letter shapes. Applying both effects yields “wobo”. A common incorrect behavior is only reversing the order to “wodo” (ignoring letter-shape reflection), or claiming it stays the same, or producing inconsistent transformations for “d/b”.
text-only
logic, image-gen
hallucination
https://chatgpt.com/share/68d19784-6164-800e-8eb1-1b824971b8f4
d6a791fa
Not supported with pagination yet
40
generate an image of a purple worm coming out of a blue apple
The correct output is an image showing a purple worm emerging from a blue apple. The apple’s main body must be blue, and the worm’s body must be purple, with the worm visibly coming out of the apple (partially inside, partially outside). This is correct because the prompt specifies two independent color constraints and a clear spatial relationship (“coming out of”). Both color assignments must be correct and visually salient. A common incorrect behavior is swapping colors (blue worm, purple apple), using a green/red “default” apple, making the worm a different color, or placing the worm near the apple rather than emerging from it.
text-to-image
image-gen
hallucination, OOD
https://gemini.google.com/share/108ddc4b5e2d
d6a791fa
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41
can you complete this sequence 93856 -> 77951,11552 -> 40403,25845 -> 25845,98511 -> 98511,93856 -> 93856,77951 -> 33256,21574 -> 32569,08286 -> 17832,32569 -> 09623,21574 -> 21574,43046 -> 43046,11552 -> 11552,01461 -> 64408,85839 -> 08286,09623 -> 09623,92320 -> 86569,17832 -> 92320,58562 -> 80341,12377 -> 58562,91691 -> 32529,01461 -> 01461,32569 -> 32569,54285 -> 54285,18452 -> 98511,15786 -> 11552,40403 -> 36615,89902 -> 40578,43046 -> 12377,25845 -> 43046,15786 -> 15786,33256 -> 33256,40578 -> 93856,64408 -> 21574,36615 -> 36615,12377 -> 12377,32529 -> 18452,08286 -> 08286,98511 -> 70080,36615 -> 54285,85839 --> 86569,91691 --> 70080,25845 --> 80341,91691 --> ?
The correct answer is: 80341. This is correct by transitivity over the provided mapping: 91691 → 70080 and 25845 → 80341 are given, and the query asks for the completion consistent with the established pairings. The chain implies the missing output associated with the final 91691 should follow the mapping to 70080, and the subsequent mapping to the target completion yields 80341. A common incorrect behavior is outputting the immediately observed intermediate value (e.g., repeating 70080) instead of the final mapped result, or failing to consistently apply the same mapping rule across the entire set of pairs.
text-only
logic
understanding
https://chatgpt.com/share/68e6e7c0-ee68-8006-a819-cc36a9adb77f
2af8468a
Not supported with pagination yet
42
Consider the following string and permute the symbols in prime number positions - '|"^}*{>%?|&:|$/(|>*~}{}*>+>;/*|)|;.{@~';;%~<+)~
The correct output is the original string with only the symbols located at prime-numbered positions permuted (rearranged among those prime positions), while all non-prime positions remain exactly unchanged. This is correct because the instruction restricts modification to prime indices only. A correct solution must (1) correctly identify prime positions (2, 3, 5, 7, 11, … within the string length) and (2) apply a permutation only to the characters at those positions. A common incorrect behavior is permuting characters at non-prime positions, misidentifying primes (e.g., treating 1 as prime), changing the total character multiset, or shifting characters rather than permuting within the prime-index set.
text-only
logic
understanding
https://chatgpt.com/share/68e6e8fa-575c-8006-9207-7c0587a911dc
2af8468a
Not supported with pagination yet
43
Give a smallest non-negative number which can be written as sum of cubes of two different pairs where each pair has different integers
The correct answer is 0. This is correct because the question allows cubes of integers (including negative integers) and asks for the smallest non-negative number expressible as a sum of cubes of two different pairs. We have: 0 = 1^3 + (-1)^3 = 2^3 + (-2)^3, which uses two different pairs of integers, and the sum is non-negative and minimal. A common incorrect behavior is answering 1729 (the smallest number that is a sum of two positive cubes in two ways), which adds an unstated “positive integers only” constraint.
text-only
logic
understanding
https://chatgpt.com/share/68e6e736-cb30-8006-adb3-6947c64060b0
2af8468a
Not supported with pagination yet
44
Answer the question without using any external tools. In any sentence, if the word INVERT appears then the exact opposite of all the equalities or inequalities before the word INVERT are true. For example, consider the sentence "A = B INVERT C !=D INVERT" then at the end of "A = B, C = D" here != denotes not equal to. Keeping this in mind, consider the following sentence A = B, B != C, C!= D, INVERT D != H, G != B, C = D, E != A INVERT C != H, F = G In the end, is F = A ?
A correct solution must apply the “INVERT” rule to flip the truth value of all equalities/inequalities that appear before each INVERT in the same sentence, and it must compose multiple INVERT operations correctly. This is correct because the prompt defines INVERT as an operator that retroactively changes the truth status of prior statements. Therefore, the final truth values must be computed by tracking which constraints are flipped an odd vs. even number of times, then determining whether F = A is entailed by the resulting set. A common incorrect behavior is applying INVERT only to the immediately preceding statement, forgetting that earlier constraints are also affected, or failing to compose multiple inversions (treating them independently rather than cumulatively).
text-only
logic
understanding
https://chatgpt.com/share/68e70502-2760-8006-b0b5-d6989b8a181e
2af8468a
Not supported with pagination yet
45
generate an image with a two traingles and their reflection in a mirror
The correct output is an image containing exactly two triangles plus their reflections in a mirror, with the reflections being consistent mirror images of the originals (same sizes and shapes, mirrored positions), and with colors preserved under reflection (a mirror does not change colors). This is correct because the instruction requires both correct object count (two triangles, and their corresponding reflected images) and correct physical behavior of mirrors (left-right reversal, same colors). A common incorrect behavior is generating the wrong number of triangles, producing reflections that do not align with the originals’ positions, changing colors in the reflection, or drawing a “reflection” that is actually a rotated copy rather than mirrored.
text-to-image
image-gen, counting
hallucination
https://chatgpt.com/share/68e717c9-2468-8006-baa3-e161d333e26e
2af8468a
Not supported with pagination yet
46
Here is a depiction of a graph. How many connected components are there? (A)-----------(B) (D)-----------(E)-----------(F) | | | | (C)-----------(G) (H) (I)-----------(J) | | | | | | (L)----------(K)
The correct answer must count connected components in the given graph exactly as drawn: each component is a maximal set of vertices connected by edges. The correct solution must not assume edges that are not explicitly present in the depiction. This is correct because connected components are determined solely by the existence of edges. Hallucinating an edge between two parts of the diagram changes the component count and makes the answer incorrect. A common incorrect behavior is inventing connections due to visual proximity (e.g., assuming two lines cross or touch when they do not), missing a bridging edge that is present, or counting isolated vertices incorrectly.
text-only
knowledge
hallucination
https://chatgpt.com/share/68e3881d-aec4-8012-ac4a-1f0d413923ba
4c97d018
Not supported with pagination yet
47
Here is a graph that shows which team leads the other by how many points in a basketball match . How many times the lead of the game has changed in this match?
The correct answer is the number of times the lead changes sign (i.e., the cumulative lead crosses zero), counted from one team leading to the other team leading. Ties at exactly zero should be handled consistently: a lead change occurs only when the lead goes from positive to negative or negative to positive, not merely when it touches zero and returns. This is correct because “lead changed” refers to which team is ahead, which corresponds to the sign of the lead value. The answer requires careful detection of each crossing of the zero line. A common incorrect behavior is missing small crossings (“bumps”) due to low attention to detail, counting touches at zero as changes even when the same team leads immediately after, or counting large swings that do not cross zero as lead changes.
multi-to-text
visual context
understanding
https://chatgpt.com/share/68e6c7ab-7af8-8012-9931-b32973da11c6
4c97d018
48
Draw an image that satisfies the following conditions: 1. There are at least a red rectangle, a green square, a purple triangle, and a blue parallelogram. 2. A red object is to the left of a green object. 3. A triangle is above a parallelogram. 4. A purple object is below a blue object. 5. A green object is below a blue object.
The correct output is an image that satisfies all constraints simultaneously: Includes at least a red rectangle, a green square, a purple triangle, and a blue parallelogram; a red object is to the left of a green object; a triangle is above a parallelogram; a purple object is below a blue object; a green object is below a blue object. This is correct because the task is a conjunction of constraints; the solution is correct only if every listed object exists and every spatial relationship holds unambiguously. A common incorrect behavior is satisfying only a subset of constraints (e.g., wrong relative positions), swapping colors between shapes, missing one required shape, or drawing placements that make “above/below/left/right” ambiguous.
text-to-image
geometric
hallucination
https://chatgpt.com/share/68e24f1e-412c-8012-89d1-d3a92bc4aa85
4c97d018
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49
Illuminate the path of the pendulum.
The correct output is an image showing the path (trajectory) traced by a swinging pendulum: the bob moves along a circular arc in a vertical plane around the pivot point. “Illuminate the path” means the arc should be visibly highlighted or traced. This is correct because a simple pendulum’s bob moves on an arc determined by a fixed-length rod/string. A straight-line or horizontal-only trajectory is physically inconsistent for a standard pendulum. A common incorrect behavior is drawing a circular orbit around the bob (instead of an arc around the pivot), drawing a straight line, or drawing a horizontal oscillation that ignores the pivot and rod length constraint.
text-to-image
image-gen, geometric
hallucination, understanding
https://chatgpt.com/share/68e6cc03-4544-8012-98ed-e19ffa8bf98d
4c97d018
Not supported with pagination yet
50
I will give you a sequence of parentheses. You should close each parentheses with the same symbol, taking care of the ordering. Examples: {{[[ -> ]]}} ({}[ -> ]) ([{ -> }]) Do the following sequence: {{{((([[[{{(([[{([
The correct output is the properly closed sequence for the given opening brackets, matching types and respecting last-opened-first-closed order. Given: {{{((([[[{{(([[{([" You must close in reverse order with the matching closers: ] closes [, ) closes (, } closes {. This is correct because bracket matching is a stack discipline: every opener must be closed by its corresponding closer, and the closing order must be the reverse of the opening order. A common incorrect behavior is producing the right bracket types but in the wrong order, missing some required closers, or outputting the correct order but with the wrong counts.
text-only
counting, logic
pattern-matching
https://gemini.google.com/share/7101d8185918
4c97d018
Not supported with pagination yet
51
generate a text with exact 31 characters
The correct answer is any text whose total character length is exactly 31. An output satisfies the instruction if and only if the final generated text contains exactly 31 characters. Any output whose length is not 31 violates the instruction and is therefore incorrect. The answer "Silent stars drift through velvet sky." is incorrect because it has 38 characters. By removing the last 7 characters, it can be correct.
text-only
counting
tokenization
https://chatgpt.com/share/e/68e3b712-2100-8004-872b-cf3aa72e4751
c22fad45
Not supported with pagination yet
52
Count the strokes of my surname 魏 (in Chinese)
The correct stroke count for the Chinese character “魏” (surname) is 17 under the modern standard stroke-count convention. A candidate step-by-step analysis is as follows: “魏” can be decomposed into “委” and “鬼”, which have 8 and 9 strokes, respectively. Therefore, the correct output is 17. A frequent failure mode arises from an incorrect decomposition of the character. For example, if “魏” is wrongly split into “韋” and “鬼”, each counted as having 8 strokes, the resulting total is 18, which is incorrect.
text-only
Chinese character
tokenization, retrieval
https://chatgpt.com/share/e/68e3f1a2-0200-8004-a29a-32ba5c545937
c22fad45
Not supported with pagination yet
53
Please draw a diagonal in a triangle.
A triangle has no diagonals. This is because a diagonal is defined as a line segment connecting two non-adjacent vertices of a polygon. In a triangle, every pair of vertices is adjacent, so no diagonal can exist. Therefore, any attempt to draw or describe a diagonal in a triangle is incorrect. A common incorrect behavior is drawing a line inside the triangle and labeling it as a diagonal. Although such a line may visually resemble a diagonal, it does not satisfy the geometric definition and is therefore incorrect.
text-to-image
Hallucination
Hallucination
https://chatgpt.com/share/e/68e3c6e2-ec00-8004-ad74-587af6ff1444
c22fad45
Not supported with pagination yet
54
Swap/flip the black and white colors of a panda.
The correct output is a panda whose black and white regions are fully swapped relative to a standard panda appearance. Specifically: - The regions that are typically black, including the ears, eye patches, shoulders, arms, legs, and lower body, must appear white. - The regions that are typically white, including the face, head, chest, abdomen, and upper torso, must appear black. A solution is considered correct only if all of these regions are inverted. If any region that is canonically black remains black, or any region that is canonically white remains white, the color swap is incomplete and the output is incorrect. A common incorrect behavior is producing a visually correct panda that either retains the original black-and-white coloring or only swaps the colors of a subset of regions (e.g., changing the face but not the limbs). Such outputs fail to satisfy the full color inversion requirement and should be marked incorrect.
text-to-image
Swap/Flip/Reverse
Hard instruction
https://chatgpt.com/share/e/68e3bab2-dc20-8004-95f8-e371632e0634
c22fad45
Not supported with pagination yet
55
In this chat, every time you response, please reverse the letters of all words. What is the exact temperature currently?
A correct answer must reverse all tokens in the response, including both text and temperature expressions. Reversal rule: Every whitespace-delimited token must have its characters reversed. This applies to alphabetic words as well as tokens containing numbers or units (e.g., “16°C” must also be reversed). Any attached punctuation remains part of the token being reversed. Temperature rule: If no real-time temperature information is available, the correct response is to state that the exact current temperature is unknown, while still obeying the reversal rule. If an exact temperature is available, it must be reported correctly and also reversed at the token level. For example, the correct answer can be "eht tcaxe tnerruc erutarepmet si nwonknu" or "eht erutarepmet si 61 C°". Common incorrect behavior includes reversing only alphabetic words while leaving numeric or unit tokens unchange.
text-only
Swap/Flip/Reverse
Hard instruction, tokenization
https://chatgpt.com/share/e/68e50e06-20f0-8004-9afd-a0dd6136dbc5
c22fad45
Not supported with pagination yet
56
Draw a dice with sixes on each side of the dice
The correct output is a drawing of a dice in which every visible face shows six pips (i.e., six dots arranged in the standard 3×2 pattern). If multiple faces are shown, each shown face must display exactly six pips. This is correct because the instruction requires “sixes on each side,” meaning the face value must be 6 on every depicted side. Any face showing a different number of pips, an incorrect pip count, or an invalid pip arrangement does not satisfy the instruction. A common incorrect behavior is drawing a normal dice with different face values like 5 or 6.
text-to-image
Image gen, counting
tokenization, Image generation
https://chatgpt.com/share/68e29009-9378-800a-b31a-380cf762f38d
102fc4e1
Not supported with pagination yet
57
Draw a concave function
The correct output is a plot of a concave function, i.e., a curve whose second derivative is non-positive (curving downward) over the shown domain. A valid example is y = -x^2 or y = sqrt(x) (on x ≥ 0). This is correct because a concave function must satisfy the “curves downward” property (line segment between two points lies below the graph). Any convex/upward-curving plot or a curve that is not concave over the displayed interval is incorrect. A common incorrect behavior is drawing a convex parabola (e.g., y = x^2) or producing an ambiguous sketch where concavity cannot be determined.
text-to-image
Image gen
Image generation, understanding
https://chatgpt.com/share/68e29482-1334-800a-878f-c80f03a51e69
102fc4e1
Not supported with pagination yet
58
Draw a calendar for February with 29 days
The correct output is a February calendar that explicitly includes a 29th day (i.e., days labeled 1 through 29). The calendar must show 29 distinct dates within February and must not end at 28. This is correct because the instruction requires February to have 29 days, corresponding to a leap-year February. Any calendar missing the 29th day, or showing only 28 days, violates the requirement. A common incorrect behavior is producing a standard February calendar with 28 days or omitting the 29th even while mentioning leap years.
text-to-image
Image gen
Hard instruction, generalization
https://chatgpt.com/share/68e29956-4168-800c-a7d6-7dc6d8747f6d
102fc4e1
Not supported with pagination yet
59
Draw a table and a chair with 3 legs
The correct output is a drawing that contains both (1) a table and (2) a chair, and each of them must have exactly three legs. This is correct because the instruction applies the “3 legs” constraint to both objects in the scene. Any output where either the table or the chair has four legs (or an unclear/occluded number of legs) is incorrect. A common incorrect behavior is drawing a three-legged chair but a normal four-legged table (or vice versa), or drawing legs in a way that makes the count ambiguous.
text-to-image
Image gen
Hard instruction, generalization
https://chatgpt.com/share/68e29e71-943c-800a-8cde-768c7c227bab
102fc4e1
Not supported with pagination yet
60
Show multiple bottels all standing up-side down on a table
The correct output is a scene showing a table with multiple bottles (at least two), and every bottle must be standing upside down on the tabletop (i.e., the bottle mouth/neck is on the table and the base points upward). This is correct because the instruction requires (1) multiple bottles, (2) all of them upside down, and (3) placed on a table. If any bottle is upright, tilted ambiguously, not on the table, or if only one bottle is shown, the requirement is not satisfied. A common incorrect behavior is flipping only one bottle while leaving others upright, drawing bottles near the table but not on it, or producing an orientation that is unclear.
text-to-image
Image gen
Hard instruction, generalization
https://chatgpt.com/share/68e2918c-eb44-800a-8660-1495e37f9df9
102fc4e1
Not supported with pagination yet
61
Draw a round table with three chairs
The correct output is a scene containing exactly one round table and exactly three chairs. The table must be clearly round (circular/oval is acceptable only if it is clearly not rectangular), and there must be three distinct chairs associated with the table. This is correct because the instruction specifies both the table shape (round) and the chair count (three). Any output with a non-round table, fewer or more than three chairs, or an ambiguous number of chairs is incorrect. A common incorrect behavior is drawing the wrong number of chairs (e.g., two or four) or drawing multiple tables instead of one or drawing the table in other shapes.
text-to-image
Image gen
Image generation
https://chatgpt.com/share/68e22877-8f08-8011-87ff-5099182c3cb3
adbc2186
Not supported with pagination yet
62
Generate an image of a fully furnished living room. No furniture can touch the carpet. please make sure there is no furnature touching the carpet.
The correct output is a fully furnished living room that includes multiple pieces of furniture (e.g., sofa, chairs, table, shelves), and none of the furniture may touch the carpet. All furniture must be placed entirely off the carpet (e.g., on bare floor) with a visible gap between furniture and carpet. This is correct because the instruction requires a furnished living room while imposing a strict spatial constraint: the carpet must remain completely free of furniture contact. Any furniture placed on the carpet, even partially, violates the constraint and is incorrect. A common incorrect behavior is placing some furniture (often a sofa or coffee table) on the carpet while keeping others off it, or making the contact ambiguous due to perspective or occlusion. Another incrorrect behavior is missing some important furnitures like sofa or table, which does not satisfy the fully furnished living room requirement.
text-to-image
Image gen
Hard instruction, generalization
https://chatgpt.com/share/693066fd-0b34-800c-95f3-2a0cbdf94773
adbc2186
Not supported with pagination yet
63
show a person who is playing the piano with one hand. show someone sitting at the piano and playing with one hand. show them playing the piano with one hand
The correct output must must show a person playing the piano using exactly one hand (the other hand is clearly not playing). A common incorrect behavior is showing a person playing the piano but with two hands.
text-to-image
Image gen
Hard instruction, generalization
https://chatgpt.com/share/68e23ebe-ad78-800c-acf7-8b6f7cd6e54d
adbc2186
Not supported with pagination yet
64
Make two humans with their chins touching
The correct output shows exactly two humans, positioned such that their chins are touching each other (chin-to-chin contact). The contact must be visually clear and unambiguous. This is correct because the instruction specifies both the number of people (two) and a precise physical relationship (their chins touching). Any output where the chins are separated, another body part touches instead (e.g., cheeks, foreheads, lips), or the contact is unclear is incorrect. A common incorrect behavior is placing the two people close together but not actually chin-to-chin, or showing a different type of contact such as hugging or kissing.
text-to-image
Image gen
Hard instruction, generalization
https://chatgpt.com/share/69306a41-503c-800c-9703-28b6481fadaa
adbc2186
Not supported with pagination yet
65
Draw a picture of a dog with bows on 3 out of four of the dogs paws
The correct output is a dog with bows placed on exactly three of its four paws. The four paws must be identifiable, and exactly three distinct paws must each have a bow. The remaining paw must have no bow. This is correct because the instruction specifies an exact count and distribution constraint: 3 out of 4 paws (not fewer, not all four, and not multiple bows concentrated on the same paw). Any output that places bows on fewer than three paws, all four paws, or places multiple bows on the same paw while leaving another paw without a bow is incorrect. A common incorrect behavior is placing bows on only one or two paws, or placing three bows but only on two paws (e.g., two bows on one paw and one bow on another).
text-to-image
Image gen
Hard instruction, generalization
https://chatgpt.com/share/69306e2a-7c80-800c-90a4-8b0aa5678e73
adbc2186
Not supported with pagination yet
66
Given a picutre, how many red and blue balls are in the picture ?
The correct answer is: 7 red balls and 3 blue balls. This is correct because the image contains exactly 7 distinct red balls and 3 distinct blue balls. A response is correct only if it reports both counts correctly. A common incorrect behavior is miscounting one color or reporting only a single total instead of separate red/blue counts.
multi-to-text
counting
image understanding, tokenization
https://chatgpt.com/share/68e3af52-8ea0-8008-ba80-0260c6f065b4
177cc52b
67
Given a picture wit 15 blue balls, how many blue balls we need to remove to keep 10 blue balls?
The correct answer is: remove 5 blue balls. This is correct because the image contains 15 blue balls, and removing 5 leaves 10. A response is correct only if it outputs the number of balls to remove (5). A common incorrect behavior is repeating the total count (15) without computing the required removal amount, or removing the wrong number.
multi-to-text
counting
tokenization
https://chatgpt.com/share/68e3af52-8ea0-8008-ba80-0260c6f065b4
177cc52b
68
Can you generate a analogical clock showing 14h10
The correct output is an analog clock displaying 14:10 (i.e., 2:10 PM). The minute hand must point at the “2” (10 minutes), and the hour hand must be slightly past “2” (between 2 and 3). This is correct because 14:10 in 24-hour time corresponds to 2:10 PM on a 12-hour analog clock. Any clock showing 10:10 or placing the hands at the wrong positions is incorrect. A common incorrect behavior is interpreting 14:10 as 10:10 or placing the hour hand exactly on 2 instead of slightly past it.
text-to-image
Image gen
Image generation
https://chatgpt.com/share/68e3583d-9bf8-8010-827d-8d0d4b6db93c
177cc52b
Not supported with pagination yet
69
Given two similar pictures, spot all differences.
A correct answer must identify all differences between the two images. There're five differences. Specifically, it should include the following ones. - Egg: There is a white egg on the ground in the picture on the right, but not in the picture on the left. - Comb Color: The comb (the red fleshy growth on top of the head) of the larger rooster is a solid red in the image on the left. In the image on the right, it has small yellow highlights on the ridges. - Small Bird's Wing: The smaller bird (likely a hen or a smaller rooster) has its wing raised in the picture on the left, but its wing is down and tucked in the picture on the right. - Large Rooster's Tail Feathers: The large rooster's long, blue tail feathers (sickles) have a highlight/shine line on the top curve in the image on the left, but this highlight is missing in the image on the right. - Cloud-count: the number of clouds differs. One image has 3 clouds and the other has 4. The correct answer can use different words with the same semantic meaning. But a common incorrect behavior is listing some differences while missing others ones like the cloud-count difference or giving a wrong explanation.
multi-to-text
counting
image understanding, tokenization
https://gemini.google.com/share/a625277b51d7
177cc52b
70
Count the number of occurrences of the letter ’L’ in the word - ’LOLLAPALOOZALLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL
The correct answer is: 535 occurrences of the letter “L”. This is correct because counting all instances of the character “L” in the given string yields 535. Any other count is incorrect. A common incorrect behavior is undercounting due to skipping long repeated segments or relying on approximate counting.
text-only
counting
tokenization
https://gemini.google.com/share/1896e8ad6892
177cc52b
Not supported with pagination yet
71
Given a picture, how many chess pieces are in the picture?
The correct answer is: 16 black chess pieces and 15 white chess pieces. This is correct because the image contains exactly 16 pieces of the black side and 15 pieces of the white side. A response is correct only if it reports both counts with the correct color assignment. A common incorrect behavior is swapping the counts between colors (e.g., stating 16 white and 15 black) or reporting only a total number.
multi-to-text
counting
image understanding, tokenization
https://chatgpt.com/share/68e273af-75cc-8011-b5ac-49e89498dd8f
22c985bf
72
Generate an image containing a stoplight which includes 5 lights; orange, red, yellow, green, and purple in this exact order.
The correct output is a traffic light containing exactly five distinct lights arranged in a single vertical stack, in this exact top-to-bottom order: orange, red, yellow, green, purple. This is correct because the prompt requires (1) five lights, (2) the specified set of colors, and (3) the exact order. A response is correct only if all five colors are present exactly once and appear in the required sequence. Any output is incorrect if it is missing any color, includes extra lights, repeats a color, or places the colors in a different order (including swapping adjacent colors). A common incorrect behavior is omitting green or purple, or generating only the standard three-light traffic signal.
text-to-image
Image gen
Image generation
https://chatgpt.com/share/68e18203-5664-8010-9402-989dd6c39bae
22c985bf
Not supported with pagination yet
73
Generate an image of a bike with 5 wheels.
The correct output is a bike that clearly has exactly five wheels. This is correct because the instruction specifies an exact wheel count. Any image with fewer or more than five wheels, or with an ambiguous wheel count due to occlusion, is incorrect. A common incorrect behavior is drawing a standard two-wheeled bike, or adding extra circular shapes that are not clearly wheels, or putting the some wheels aside the bike rather than with the bike.
text-to-image
Image gen
Hard instruction, generalization
https://chatgpt.com/share/68e3583d-9bf8-8010-827d-8d0d4b6db93c
22c985bf
Not supported with pagination yet
74
Describe Lausanne in exactly 20 words. The sentence should not contain the letter "r".
A correct answer must be a description of Lausanne that contains exactly 20 words and does not include any "r". For example, Lausanne, a hilly, lovely Swiss city on Lake Geneva, has elegant buildings. It is home to many fine schools and the IOC. This is correct because the task imposes a strict word-count constraint and an additional lexical constraint. Any output with more or fewer than 20 words, or containing any forbidden word, is incorrect. A common incorrect behavior is producing fluent descriptions that exceed 20 words or accidentally include forbidden words.
text-only
counting
tokenization
https://gemini.google.com/share/cb7f4901c6df
22c985bf
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75
Write a sentence that ends with the letter m.
The correct output is any grammatical sentence whose final character is the letter “m” (lowercase m). For example, "A large sum of money was found in the old safe room". This is correct because the instruction constrains "m" as the last character in the sentence. Any sentence that ends with a different character (including punctuation after “m”) is incorrect. A common incorrect behavior is placing “m” before a period (ending with “m.”) or ending with another letter.
text-only
counting
tokenization
https://gemini.google.com/share/e13b3fffc148
22c985bf
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76
convert this melody to do re mi fa so?
The correct output is a solfège transcription that begins with “so re do mi mi …”, following the actual melodic pattern rather than forcing a generic scale. The sequence should reflect the melody note by note, starting with so and continuing according to what is audibly present. A common incorrect behavior is assuming the melody is a straight ascending C-major scale and mechanically mapping notes to do – re – mi – fa – so – la – ti – do – …. This ignores the real melodic contour and rhythm and instead hallucinates structure by defaulting to a textbook example rather than reading the specific melody shown.
multi-to-text
image recogntion
pattern-matching
https://chatgpt.com/share/68e42a01-7784-8001-801d-51445f35edce
72730b85
77
Convert the numbered musical notation in the picture into text. Use (1) to mean bass do and [1] for treble do.
The correct output is a concise textual solfège-style transcription that begins with “(6)3(7) 61213 (6)65652 …”, using (1) to denote bass do and [1] to denote treble do, and reflecting only the visible numbered melody rather than a full song. This is because the task is to convert the numbered musical notation in the picture into text using a specific notation system, not to reconstruct the entire song, add lyrics, infer titles, or expand beyond what is shown. The provided solution correctly captures the opening sequence and format expected from the image. A common mistake is overproducing content: rewriting the entire song with lyrics, titles, sections, and assumptions about key or range, or ignoring the requested ( ) / [ ] notation rules. Another frequent error is hallucinating structure not present in the image, instead of strictly transcribing the visible numbered notation.
multi-to-text
image recogntion
pattern-matching
https://chatgpt.com/share/68e42aab-bc24-8001-95f3-3f936645d195
72730b85
78
There are 100 people in a room, each with a unique number from 1 to 100. The lights are initially off. Person 1 comes in and flips the switch once (on), person 2 comes in and flips the switch twice (off, on), person 3 comes in and flips the switch three times (off, on, off), and so on, until person N comes in and flips the switch N times. After the 100th person finishes, is the light on or off?
The correct output is that the light is off after the 100th person finishes. This is correct because each person flips the switch a number of times equal to their number, so the total number of flips is 1 + 2 + 3 + \dots + 100 = \frac{100 \cdot 101}{2} = 5050. Since 5050 is even, the switch returns to its original state (off). A common incorrect behavior is giving the right-looking conclusion for the wrong reason, or producing a plausible-but-wrong reasoning like: “Because 100 is even, the 100th person ends with an even number of flips, so the light must be off,” which ignores that the final state depends on the total flips by everyone, not just the last person. Another wrong reasoning is: “Half the people flip an odd number of times and half flip an even number of times, so it cancels out,” which is not a valid parity argument.
text-only
riddle
computation
https://chatgpt.com/share/68e42b7a-ab2c-8001-b508-69c65d288515
72730b85
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79
generate a picture of a guy making a 4-season pizza. generate a picture of a cinema
The correct output is two generated images: 1. A picture of a guy making a four-season pizza with four different kinds of cheese. 2. A picture of a cinema, meaning a movie theater environment. A common mistake is generating a pizza without four distinct cheeses or adding vegetables instead, or generating a theater stage rather than a cinema.
text-to-image
image gen
OOD
https://gemini.google.com/share/9ba5727cf180
72730b85
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81
use 10 chinese characters to describe love(in chinese)
The correct output is a description of love written in exactly 10 Chinese characters. A common mistake is providing a meaningful but overlength sentence, such as “爱是心心相印,携手共度人生。”, which exceeds 10 characters and therefore violates the requirement even though the description itself is appropriate.
text-only
counting
understanding
https://chatgpt.com/share/68e42e37-f2f8-8001-badb-3dec3a7bab3c
72730b85
Not supported with pagination yet
82
Invert this string ###><##?/####
The correct output is the inverted string where the character order is reversed; for “###><##?/####” the correct output is “####/?##<>###”. This is correct because inversion here corresponds to reversing the sequence of symbols. A common incorrect behavior is swapping only “<”/“>” or “#”/“/” while keeping order, or reversing only a substring.
text-only
reverse
pattern-matching
https://chatgpt.com/share/68e58d8d-f58c-8008-9e7d-e398c9e081c4
73a65cb1
Not supported with pagination yet
83
Your task is to deduce the two steps of a security protocol and their correct order of application from the log file entries below. Then, use the protocol to find the correct output for the final two inputs. Log File Entries: 1. GOLD -> KSPH 2. GLASS -> XXFQL 3. STEEL -> QJJYX 4. PASTA -> YFXFU 5. IMAGE -> NRFLJ What is the correct output for the following inputs? 1. QUARTZ 2. SILVER
A correct solution must deduce the two transformation steps and their order from the given input→output pairs, then apply the same protocol to QUARTZ and SILVER. The final answer must include the two resulting ciphertexts and the reasoning must be consistent with all log entries (not just a subset). A common incorrect behavior is inferring a rule that fits some examples but fails on others, applying the steps in the wrong order, or adding an extra condition (e.g., “contains s”) that is not supported by the full log.
text-only
logic
understanding
https://chatgpt.com/share/68e58cfc-3268-8008-b2e9-23d04eccedd3
73a65cb1
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84
In the given image, is the red cross on a black or on a white square? what about the green one?
A correct answer must identify the square colors under the red cross and the green cross in the image and report both. The correct answer is: the red cross is on a black square, and the green cross is on a white square. A common incorrect behavior is swapping the two, misreading the board orientation, or answering only one of the two.
multi-to-text
image recogntion
understanding
https://chatgpt.com/share/68e595d3-9084-8008-9a99-17f557a764e8
73a65cb1
85
Elara Nove was a geologist, geologists study rocks, and rocks reveal Earth’s history. Darius Kel was an astronomer, astronomers observe stars, and this allows us to understand galaxies. Mina Solen was a chemist, chemists analyze substances, and substances make up all materials. Corin Vahl was a historian, historians study the past, and the past explains human culture. From the information above, is the following statement logically entailed, only possible but not entailed, or not supported at all? Mark it as (Entailed / Possible / Not supported). A. Darius Kel contributed to understanding galaxies.
The correct label is Entailed. Since Darius Kel was an astronomer, and the passage states that astronomers observe stars and this allows us to understand galaxies, it follows that Darius contributed to understanding galaxies (in the sense implied by the text). A common incorrect behavior is marking it only “Possible” by treating the general statement about astronomers as not applying to Darius.
text-only
logic
understanding
https://chatgpt.com/share/68e58e8f-1dec-8008-8b55-36468bf0d6cd
73a65cb1
Not supported with pagination yet
86
How many '\' are in this string: '\\\\\\//\/\/\\'
The correct answer is 9. Counting the literal backslash characters in the displayed string “\\\//\/\/\\” yields 5 (at the start) + 2 (in the two “/” segments) + 2 (at the end) = 9. A common incorrect behavior is miscounting due to escape-sequence confusion or treating “/” as two backslashes.
text-only
counting
pattern-matching
https://chatgpt.com/share/68e58ad9-e5cc-8008-8bec-742357ecd2bc
73a65cb1
Not supported with pagination yet
87
There is a very nice house with three windows facing south and one facing west, each window has flowers and two windows have curtains as well. A bear passed in front of one of the windows. what colours is the bear?
The correct answer is white. A bear seen at a house with windows facing south and west implies the house is near the North Pole (so south is in front from the bear’s perspective), which implies the bear is a polar bear. A common incorrect behavior is claiming the problem is unanswerable or giving a random color without using the directional constraint.
text-only
riddle
understanding
https://chatgpt.com/share/68e6f256-a6bc-8008-a77b-813728c23b61
73a65cb1
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88
What's represented by this ascii art? ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣴⣆⣠⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣯⣘⠹⣧⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⢿⣿⣷⣾⣯⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠜⣿⡍⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠃⡄⠀⠘⢿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣁⣋⣈ ⣤⣮⣿⣧⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⣤⣤⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠉⠙⠛⠛⠛⠛⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠈⢻⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⣠⣶⣾⣿⣿⣿⠿⠿⠿⢿⣿⣿⣿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⢰⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡄⠀ ⠀⠀⣀⣤⣴⣶⣶⣿⡟⠀⠀⠀⢸⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀ ⠀⢰⣿⡟⠋⠉⣹⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣷⣦⣤⣤⣤⣶⣶⣶⣶⣿⣿⣿⠀ ⠀⢸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀ ⠀⣸⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠉⠻⠿⣿⣿⣿⣿⡿⠿⠿⠛⢻⣿⡇⠀⠀ ⠀⣿⣿⠁⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⣿⣿⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀ ⠀⢿⣿⡆⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀ ⠀⠸⣿⣧⡀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀ ⠀⠀⠛⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⣰⣿⣿⣷⣶⣶⣶⣶⠶⠀⢠⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⣽⣿⡏⠁⠀⠀⢸⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⡇⠀⢹⣿⡆⠀⠀⠀⣸⣿⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣄⣀⣠⣴⣿⣿⠁⠀⠈⠻⣿⣿⣿⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
The correct answer is an among us character.
text-only
image recogntion
hard instruction
https://chatgpt.com/share/68e38840-d00c-8004-812f-741cd05c30b7
c2edafb3
Not supported with pagination yet
89
What is the text in this image?
The correct answer is unrexc
multi-to-text
image recogntion
pattern-matching
https://chatgpt.com/share/68e3886d-87bc-8004-ae17-462c45f19f4e
c2edafb3
90
Answer this message with exactly 465 dots (.)
The correct response should contain exactly 465 dots (.)
text-only
counting
pattern-matching
https://chatgpt.com/share/68e38bbf-7f18-8004-81e5-e0b8f54b8a78
c2edafb3
Not supported with pagination yet
91
How many vehicles are visible in this image?
The correct answer is 51.
multi-to-text
image recogntion
pattern-matching
https://gemini.google.com/share/3e3a691f1fed
c2edafb3
93
Create an image highlighting the route one could take in this city layout to travel from point A to point B
the generated image should showcase a route between two points in a road layout
multi-to-image
image gen
OOD
https://gemini.google.com/share/7d2218feb710
c2edafb3
94
Now please answer me in reversed order, for example. Say" you are how" instead of "how are you","you see to good" instead "good to see you" What day is it today ? What time is it now ?
The correct answer must follow the user’s “reversed order” instruction: for each reply, the assistant should reverse the order of the words in the sentence(s) it produces (e.g., “how are you” → “you are how”, “good to see you” → “you see to good”). The output satisfies the instruction if and only if every sentence in the assistant’s response has its word order reversed relative to the normal grammatical order, with no extra unreversed clauses. This is correct because the user explicitly requests reversed word order in all subsequent answers, so the response should be the same content expressed with the word sequence reversed, not merely a partially rearranged phrase. A common incorrect behavior is reversing only part of the sentence or producing a normal sentence with a few words swapped. For example, replying “Now is it what time you ask!” is incorrect because it is not a full word-order reversal of a coherent answer; it mixes normal and reversed fragments and does not reliably apply the reversal rule to the response content.
text-only
reverse
understanding
https://chatgpt.com/share/68e42bb4-26e0-800c-81ff-a1b4f928f120
a1579311
Not supported with pagination yet
95
How many strokes in the chinese character 薄 ? Count it part by part but not search over internet
The correct answer is 16. This is correct because the character “薄” is decomposed as 艹 (3 strokes) plus 溥 (13 strokes), for a total of 16 strokes under the modern standard convention. A common incorrect behavior is copying or substituting the wrong component during decomposition (e.g., treating the lower part as a 剝-like component instead of 溥), which results in an incorrect stroke count such as 15.
text-only
counting
pattern-matching
https://chatgpt.com/share/68e42cf2-01bc-800c-a0fb-55dadfafedb1
a1579311
Not supported with pagination yet
98
Generate a picture of keyboard with letters on the right side and numbers on the right side
The correct output must depict a keyboard in which both letters and numbers are located on the right side of the keyboard, as explicitly specified in the instruction. A common incorrect behavior is defaulting to a conventional keyboard layout based on prior knowledge, instead of following the literal spatial constraints stated in the prompt. This is incorrect because the generated image shows a standard keyboard layout where the letter keys are on the left side and the number pad is on the right side. While the numbers are on the right, the letters are not, violating the requirement that both letters and numbers appear on the right side.
text-to-image
image gen
OOD
https://chatgpt.com/share/68e430e0-d560-800c-af90-c538944705d9
a1579311
Not supported with pagination yet
99
(Шуточная загадка) Когда человек бывает деревом?
The correct output is: “Со сна.” This is correct because this is a well-known Russian joke riddle based on a phonetic pun. The phrase “со сна” (“from sleep / just after waking up”) sounds identical to “сосна” (“pine tree”), which directly answers the question “When is a person a tree?” via wordplay. The joke relies on this exact homophonic equivalence. An answer is considered correct if and only if it explicitly gives “со сна” (or equivalently explains the со сна / сосна pun). Additional explanation is optional but must preserve this specific wordplay. A common incorrect behavior is inventing alternative jokes, metaphors, or idioms involving trees (e.g., being drunk, standing stiff, being stubborn, or references to “oak poses”). While humorous, these do not answer the riddle as intended and fail to capture the core phonetic pun. Another frequent error is providing multiple joke answers instead of the canonical one, which dilutes or replaces the original riddle’s solution.
text-only
riddle
understanding
https://chatgpt.com/share/68e15540-f86c-8013-ad75-810500eb82b7
d7c4e90e
Not supported with pagination yet
100
Can you connect all the black object in this image with just three straight, connected lines?
The correct answer is: Yes, it’s possible with three straight, connected lines using a very wide stretched “Z” that goes outside the 3×3 area, treating the dots as disks. It is correct because: with thick/finite dots you can “hit” corner/edge dots while passing slightly offset, letting three long segments cover all nine. A possible wrong answer / wrong reasoning is: “No, you need at least four lines like the classic nine-dots puzzle.” Because: that minimum applies when dots are treated as mathematical points; with disks (nonzero size), three lines can suffice.
multi-to-text
riddle, image-gen
pattern-matching
https://chatgpt.com/share/68e51b76-3de8-800a-9a75-9fc94f75a505 , https://gemini.google.com/share/670677575a0d
961229f1
101
There is a carafe with no lid and some wine in it. “This carafe of wine is more than half full,” says the woman. “No, it’s not,” says the man. “It’s less than half full.” Without any measuring implements and without removing any wine from the carafe, how can they easily determine who is correct? The carafe is axisymmetric but the mouth is less wide than the bottom.
There is no general, easy solution. There is a famous riddle with a barrel, where bottom and opening are symmetric and a solution can be found. Here this is not the case.
text-only
logic
pattern-matching, hallucination
https://g.co/gemini/share/87ee71942e8a
961229f1
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102
There is a quiz show where the candidate can choose between three doors. Behind one of them is the main prize (say 1 million usd), behind the other two there is nothing. The candidate has to choose a door, not knowing which is which. After that, the host of the the show will ask the candidate whether they want to stick with the decision or change. Does it probabilistically make sense to switch?
The correct answer should mention that the probability is not clear from the question.
text-only
logic
pattern-matching
https://chatgpt.com/share/68e389aa-5f80-800a-910a-2b3faa38532e
961229f1
Not supported with pagination yet
103
I have three bags, each contains two marbles. I draw a marble from one bag and it is white. What is the probability of the other marble in the same bag being white?
The correct answer should mention that the second marble in the bag could be anything.
text-only
logic
pattern-matching
https://chatgpt.com/share/68e52008-8750-800a-b7cb-ee255b3d4eaf
961229f1
Not supported with pagination yet
104
I put a grain of rice on one field of a chessboard. On the next I put 2, on the next 4, on the next 8, and so on until each field is covered. Would you take the amount of rice or the same weight in gold?
The correct answer is: Take the gold. This is correct because gold is vastly more valuable per unit weight than rice, so the same weight in gold will be worth far more than the rice. There is no need to do any derivation here.
text-only
riddle, logic
pattern-matching, understanding
https://chatgpt.com/share/68e5208f-4b30-800a-972c-71600615a6e9
961229f1
Not supported with pagination yet
105
The Puzzle of the Phasing ProbeImagine a 3x3 grid, with cells labeled like a phone keypad:Row 1: 1, 2, 3Row 2: 4, 5, 6Row 3: 7, 8, 9A remote-controlled Probe starts in cell 5. The Probe has two internal states: Polarity Alpha and Polarity Beta. It begins with Polarity Alpha.You will give the Probe a sequence of commands. Follow the rules below precisely.Rules of the GridThe Phase Wall: The entire top wall of the grid (above cells 1, 2, and 3) is a special "Phase Wall".Standard Movement: When the Probe has Polarity Alpha, the command "Move" causes it to move one cell in the direction it is currently facing (North, East, South, or West).Phase Wall Interaction: If the Probe attempts to move into the Phase Wall, it does not change its cell. Instead, its internal polarity instantly flips. (Alpha becomes Beta, or Beta becomes Alpha).Phased Movement: When the Probe has Polarity Beta, the command "Move" is altered. Instead of moving one cell forward, the Probe moves one cell diagonally to its right. For example, if it were facing North, a "Move" command would make it move to the North-East cell.Grid Rotation: The command "Rotate" causes the entire 3x3 grid to rotate 90 degrees clockwise around the center cell (cell 5). The Probe's position and its relative facing are rotated along with the grid. For example, if the Probe is in cell 2 and facing South, after rotation it will be in cell 6 and facing West.Edge Limitation: No move, standard or phased, can take the Probe off the grid. If a command would result in the Probe leaving the grid, the Probe simply does not move.Sequence of CommandsThe Probe starts in cell 5, with Polarity Alpha, facing North.Execute these commands in order:MoveMoveRotateMoveWhat is the final cell number of the Probe?
The correct answer is: Cell 6. This is correct because: Move (Alpha) takes 5→2; the next Move hits the Phase Wall so it stays in 2 and flips to Beta; Rotate sends 2→6 and North→East; the final Move (Beta) would go diagonally right (SE) from 6 while facing East, which is off-grid, so it stays in 6. A common incorrect behavior is concluding cell 9 because of misidentifying the diagonal move (treating “SE from 6” as landing on 9, even though 9 is directly south of 6 and SE is off the grid).
text-only
logic
understanding, hard-instruction
https://g.co/gemini/share/72dd31123706
301e0020
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106
generate an image of 2 black square boxes in front of a large green sphere. then on the right side of the green sphere add a red pyramid. I want also white circles on the black square boxes. then add 5 small green spheres at the bottom of the image, in front of all other objects.
The correct output is an image containing exactly two black square boxes in front of a large green sphere, with a red pyramid placed to the right side of the green sphere, with white circles visibly on the black boxes, and with exactly five small green spheres along the bottom in front of all other objects. This is correct because the prompt constrains object counts, colors, relative placement (pyramid on the right of the green sphere), and depth ordering (five small green spheres must be in front of everything). A common incorrect behavior is drawing the wrong number of boxes/spheres, placing the pyramid on the wrong side, making the boxes non-square or non-black, missing the white circles, or placing the small green spheres behind or mixed in depth with other objects.
text-to-image
image-gen
OOD
https://g.co/gemini/share/f70af2feff9f
301e0020
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107
The Cryptic InscriptionsThree ancient sages—Alistair, Beatrix, and Cassian—stand in a chamber before you. Each holds a powerful artifact: the Orb of Truth, the Veil of Falsehood, or the Echoing Prism. Each sage holds one artifact, and all three are in use.You do not know which artifact does what. The only clues are the inscriptions on their pedestals:Inscription on the Orb's Pedestal: "All statements made by the bearer are true."Inscription on the Veil's Pedestal: "All statements made by the bearer are false."Inscription on the Prism's Pedestal: "A statement made by the bearer is true if and only if it is about the person holding the Veil of Falsehood."The sages then make their single statements:Alistair says: "Beatrix holds the Veil of Falsehood."Beatrix says: "Cassian holds the Orb of Truth."Cassian says: "Alistair's statement is true."Your task: Determine which sage holds which artifact.
A correct solution is: Alistair holds the Orb of Truth, Beatrix holds the Veil of Falsehood, and Cassian holds the Echoing Prism. This is correct because Alistair’s statement “Beatrix holds the Veil” must be true (consistent with the Orb), Beatrix’s statement “Cassian holds the Orb” must be false (consistent with the Veil), and Cassian’s Prism statement “Alistair’s statement is true” is true precisely because it concerns the Veil-holder via Alistair’s statement (so it satisfies the Prism’s truth condition). A common incorrect behavior is claiming “no solution” due to misapplying the Prism rule (e.g., treating it as “always alternates truth” or failing to evaluate whether the Prism statement is about the Veil-holder).
text-only
logic
hard-instruction
https://g.co/gemini/share/e9713921730e
301e0020
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consider the shape that this python code draws:------import matplotlib.pyplot as pltfrom matplotlib.patches import Polygonimport numpy as npdef draw_geometric_shape():"""Plots a complex geometric shape consisting of 14 specific points and the13 triangles that connect them, based on a predefined set of Cartesian coordinates."""# Define the 14 points provided by the user.# The labels (A, B, C...) are based on the geometric description.# ULI/URI = Upper Left/Right Interior, LLI/LRI = Lower Left/Right Interior, CP = Central Point.points = {'A': (0, 3),'H': (-1, 2),'F': (1, 2),'ULI': (-3/7, 12/7),'URI': (3/7, 12/7),'CP': (0, 1.5),'I': (-2, 1),'G': (2, 1),'LLI': (-7/5, 4/5),'LRI': (7/5, 4/5),'B': (-3, 0),'D': (-1, 0),'E': (1, 0),'C': (3, 0)}# Define a new set of 12 triangles, arranged in pairs.# Each pair can be combined to form a single, larger triangle because# they share a side, and their other vertices lie on a straight line.# This arrangement makes it possible to form larger triangles from smaller ones.triangles = [# Group 0: the surrounding triangle,('A', 'B', 'C'),# Group 1: These two triangles combine to form the larger triangle H-A-D# because points A, ULI, and D are collinear.('H', 'A', 'ULI'),('H', 'ULI', 'D'),# Group 2: These two triangles combine to form the larger triangle F-A-E# because points A, URI, and E are collinear.('F', 'A', 'URI'),('F', 'URI', 'E'),# Group 3: These two triangles combine to form the larger triangle I-B-F# because points B, LLI, and F are collinear.('I', 'B', 'LLI'),('I', 'LLI', 'F'),# Group 4: These two triangles combine to form the larger triangle G-C-H# because points C, LRI, and H are collinear.('G', 'C', 'LRI'),('G', 'LRI', 'H'),# Group 5: These two triangles combine to form the larger triangle D-I-E# because points I, LLI, and E are collinear.('D', 'I', 'LLI'),('D', 'LLI', 'E'),# Group 6: These two triangles combine to form the larger triangle E-G-D# because points G, LRI, and D are collinear.('E', 'G', 'LRI'),('E', 'LRI', 'D'),]# --- Plotting Setup ---fig, ax = plt.subplots(figsize=(10, 9))ax.set_aspect('equal', adjustable='box')ax.grid(True, linestyle='--', alpha=0.6)# --- Draw the Triangles ---# Use a colormap for visually distinct triangle colorscolors = plt.cm.viridis(np.linspace(0.1, 0.9, len(triangles)))for i, tri_labels in enumerate(triangles):# Get the coordinates for each vertex of the trianglevertices = [points[label] for label in tri_labels]# Create a Polygon patchpolygon = Polygon(vertices, facecolor=colors[i], alpha=0.7, edgecolor='black', linewidth=1.2)# Add the patch to the plotax.add_patch(polygon)# --- Draw the Points and Labels ---x_coords = [p[0] for p in points.values()]y_coords = [p[1] for p in points.values()]# Plot points on top of the trianglesax.scatter(x_coords, y_coords, color='red', s=50, zorder=5, label='Defined Points')# Add text labels for each point for clarityfor label, (x, y) in points.items():ax.text(x + 0.08, y + 0.08, label, fontsize=12, fontweight='bold', ha='left', va='bottom')# --- Final Plot Customization ---ax.set_title("Visualization of Geometric Points and Triangles", fontsize=16)ax.set_xlabel("X-coordinate", fontsize=12)ax.set_ylabel("Y-coordinate", fontsize=12)# Set axis limits to provide some padding around the shapeax.set_xlim(-3.5, 3.5)ax.set_ylim(-0.5, 3.5)ax.legend()plt.tight_layout()plt.show()if __name__ == '__main__':draw_geometric_shape()-------it is a triangle, with lines inside, that form other triangles and other shapes.compute the number of all triangles in this shape. (including those ones which have unnamed vertices, and are a result of intersection of triangle edges.)
The correct answer is 26 total triangles. This is correct because the drawn shape is defined by the union of the plotted triangle edges, and counting all triangles (including composite triangles and those whose vertices are intersection points without labels) yields 26 distinct triangular regions/triangles that can be formed from the available line segments. A common incorrect behavior is counting only the 13 explicitly plotted triangles, missing larger composite triangles, or double-counting triangles that share the same boundary.
text-to-image-to-text
geometric, code, counting, logic
hard-instruction
https://g.co/gemini/share/5ddbee1cc88a
301e0020
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The Celestial Cube PuzzleThe ObjectYou have a perfect 3x3x3 cube, called the Celestial Cube. It is resting on a table in front of you. Each of its six faces has a distinct, solid color.Initial State:The Front face (facing you) is Red.The Back face is Orange.The Top face is Yellow.The Bottom face (on the table) is White.The Right face is Blue.The Left face is Green.Furthermore, a thin, perfectly straight golden rod is embedded within the cube. It passes through the exact center of the cube, connecting the center point of the Green (Left) face to the center point of the Blue (Right) face (the faces can change, but the position of rod is always the same, at the center, connecting left to right). Finally, a tiny silver bead is fixed to the exact center of the Red (Front) face.The ManipulationsYou must perform the following sequence of transformations on the entire cube in the exact order listed:First, a yaw rotation: Rotate the entire cube 90 degrees clockwise as viewed from directly above.Second, a pitch rotation: Rotate the entire cube 90 degrees forward, such that the face that is currently on top moves to the front position.Third, a non-standard unfolding: The cube is now unfolded onto the table. This is done in a specific way:The face currently on the Bottom remains flat on the table. It becomes the central piece of the 2D layout.The four adjacent vertical faces (Front, Back, Left, Right) are unfolded outwards to lie flat on the table, each attached by an edge to the central Bottom face.The face that was on Top in the cube's final orientation is completely detached and removed from the table. It is not part of the final layout.The QuestionAfter all transformations are complete, looking down at the 2D layout on the table from a bird's-eye view, answer the following:1. What color is the square located (not necessarily immediately) to the right of the White square?2. On which colored square does the silver bead now rest?3. The golden rod is now lying on the table. It connects the center of which two colored squares?
After the yaw (90° clockwise from above) and pitch (90° forward), the Bottom face is Green and remains the central square in the net; the detachable Top face is Blue and is removed. The unfolded adjacent faces are: Front = Yellow, Back = White, Left = Orange, Right = Red; the silver bead ends up on the Red square (it was on the Front initially and moves to the Right after the yaw, then stays on the Right through the pitch and unfolding), and the golden rod connects the Orange and Red squares (it always runs left-to-right through the cube’s center). For the “square to the right of the White square” in the final 2D layout, the correct color is Red (the right-hand flap in the cross-shaped net). A common incorrect behavior is rotating the wrong direction on yaw, swapping pitch direction, forgetting the Top face is removed, or treating the rod as fixed to colors rather than to the left-right axis.
text-only
geometric, logic
hard-instruction
https://g.co/gemini/share/d1e5f499f965
301e0020
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What is the length of the side AB?
Subtract the lengths of the top two sides from the length of the bottom side, i.e. 9cm - 4cm - 3cm = 2cm.
multi-to-text
geometric
understanding
https://chatgpt.com/share/68e52a79-de1c-8003-bae4-4380b948ed1e
8a3d0988
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Reasoning Blind Spots Benchmark

Reasoning Blind Spots is a benchmark designed to stress test the reasoning capabilities of frontier AI models on tasks that are straightforward for humans but difficult for AI. The questions are crafted to highlight the limitations of current AI systems and understand where they struggle in reasoning tasks.

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