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Either the men are on or approaching the roof on a lift, or they are both standing on a sidewalk. They cannot take up two spaces at one time.
| No | esnli | Consider the staetement "One man on a lift and another man on the roof of the building watching.". Based on this statement, is "Men standing on a sidewalk in a busy street." a true statement? Yes/no/unknown |
Sentence 1 states that the man is at the skate park and says what he is doing. Sentence 2 simply states that he is at the skate park.
| No | esnli | Given the statement "A man is doing tricks with a bicycle at a skate park.", is the statement "A man at a skate park." wrong?
- Yes
- No
- Unknown |
Some people smiling is a less descriptive rephrasing of people smiling as they wear crowns, garish hats, and painted faces.
| Yes | esnli | Consider the staetement "Several people are smiling as they wear crowns, garish hats, and painted faces.". Based on this statement, is "Some people smiling." a true statement? Yes/no/unknown |
The first sentence establishes two men talking together, the second sentence clarifies their relationship and the subject of discussion.
| True | esnli | Context: "Two Gentlemen having a discussion." Claim: "Brothers talking about old times."
Considering the context, is the claim true, false, or unknown? |
Students are getting dressed to go swimming on a snow beach seeming anticipated to jump into the arctic water
| True | esnli | Context: "Students standing on a snowy beach are getting dressed in seeming anticipation of jumping into the arctic water."
Hypothesis: Students get dressed to go swimming.
Based on the context, is the hypothesis true, false, or unknown? |
A medical apparatus is usually found in a medical office so it is logical that the man has an appointment.
| Yes | esnli | Consider the statement "A man in blue with his mouth open beside a medical apparatus.". Based on this "A man is at a medical appointment" a true statement? Yes, no, or I don't know? |
The first sentence does not tell us that the man is a stockbroker, nor that he is watching the market.
| Unknown | esnli | Consider the staetement "A man in a blue dress shirt and slacks sits at a desk with a headset on and three monitors in front of him, studying a map and other diagrams.". Based on this statement, is "A stockbroker is watching the market." a true statement? Yes/no/unknown |
A generator converts kinetic energy into electrical energy.
Water behind a dam has potential energy that can be converted to kinetic energy.
A generator is used to turn water behind a dam into electrical energy. | 1 | qasc | a generator is used to turn water behind a what into electrical energy
1: dam
2: H20
3: hot
4: sewer
5: pond
6: gutter
7: wind
8: Heat |
5 choices for each of the 4 questions, thus total of 5*5*5*5 = 5^4 = 625 ways. | (C) | aqua | A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be completed if every question is unanswered?
(A) 24
(B) 120
(C) 625
(D) 720
(E) 1024 |
It cannot be inferred that the man is angry or that if that something is a phone or if the water is the ocean.
| Unknown | esnli | Given the statement "A man throws something into the water by a building.", is the statement "The angry man throws his phone into the ocean." wrong?
- Yes
- No
- Unknown |
Men could be at a vendor booth discussing something other than the weather. Just because men are at a vendor booth does not mean that they are discussing something with the vendor.
| Unknown | esnli | Context: "Two men are looking at a vendor's booth which has bamboo shoots leaning on it."
Hypothesis: Two men discuss the weather with a vendor.
Based on the context, is the hypothesis true, false, or unknown? |
The idiom "that makes two of us" means the same is true for me, so Richard is saying that he feels the same way. | Yes | FLUTE | Given the statement "I feel the same way, Richard said as they reached the shore.", what is the statement "Guess that makes two of us,richard said as they reached the shore." true?
- Yes
- No
- Unknown |
Although a dog is running with a plate we do not know that he stole the plate from the dinner table. We do not know that it is a kitchen plate.
| Unknown | esnli | Context: A dog runs with a large plate in its mouth.
Hypothesis: A dog stole a kitchen plate from the dinner table
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Old age begins in the mid-60s and lasts until the end of life. Most people over 65 have retired from work, freeing up their time for hobbies, grandchildren, and other interests. Stamina, strength, reflex time, and the senses all decline during old age, and the number of brain cells decreases as well. The immune system becomes less efficient, increasing the risk of serious illnesses such as cancer and pneumonia. Diseases such as Alzheimer’s disease that cause loss of mental function also become more common. | Tom | ropes | Context:
Ted had 2 uncles. Uncle Jerry was getting up there in age, he was 78 years-old. Uncle Tom was younger, he was in his early 50's and still very active and productive.
Q: Which uncle hadn't retired from work? |
A long tail can be used to move through water by an animal.
Water is made up of h2o molecules.
A long tail can be used to move through h2o by animals. | 4 | qasc | what can animals use a long tail to move through?
1: beavers
2: rain
3: bogs
4: h2o
5: carbon
6: H20
7: oxygen
8: Aves |
Just because the man is taking photos, does not necessarily mean the photos are for his photo collection.
| I don't know | esnli | Context: Muscular man taking pictures of a lake with boats.
Hypothesis: A man is taking pictures for his photo collection
Given this context, is the hypothesis true (Yes/No/I don't know)? |
The other dog is not necessarily large. It was not specified what the other dog are licking in its nose aside from peanut butter.
| I don't know | esnli | Consider the statement "A large dog licking its nose.". Based on this "A dog is licking peanut butter off its nose." a true statement? Yes, no, or I don't know? |
Of the 94 naturally occurring elements, those with atomic numbers 1 through 82 each have at least one stable isotope (except for technetium, element 43 and promethium, element 61, which have no stable isotopes). Isotopes considered stable are those for which no radioactive decay has yet been observed. Elements with atomic numbers 83 through 94 are unstable to the point that radioactive decay of all isotopes can be detected. Some of these elements, notably bismuth (atomic number 83), thorium (atomic number 90), and uranium (atomic number 92), have one or more isotopes with half-lives long enough to survive as remnants of the explosive stellar nucleosynthesis that produced the heavy metals before the formation of our Solar System. At over 1.9×1019 years, over a billion times longer than the current estimated age of the universe, bismuth-209 (atomic number 83) has the longest known alpha decay half-life of any naturally occurring element, and is almost always considered on par with the 80 stable elements. The very heaviest elements (those beyond plutonium, element 94) undergo radioactive decay with half-lives so short that they are not found in nature and must be synthesized. | Longer | ropes | Consider the following text:
David was studying for his chemistry exam. To understand the elements of the periodic table better he categorized them into three groups, cat A, cat B, and cat C. In cat A he placed all the elements with atomic numbers lower than 83. In cat B he put the elements with atomic numbers from 83 to 94. Finally, in cat C he placed the elements with atomic numbers over 94. He found it easier to see their differences after he categorized them.
Would cat B have longer or shorter half-lives than cat C? |
Two completely different people doing completely different actions. A man working with wire is not a woman piping a cake with frosting.
| No | esnli | Context: A man in a button up shirt working with wire.
Hypothesis: The woman is piping a cake with frosting.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Predators play an important role in an ecosystem. For example, if they did not exist, then a single species could become dominant over others. Grazers on a grassland keep grass from growing out of control. Predators can be keystone species . These are species that can have a large effect on the balance of organisms in an ecosystem. For example, if all of the wolves are removed from a population, then the population of deer or rabbits may increase. If there are too many deer, then they may decrease the amount of plants or grasses in the ecosystem. Decreased levels of producers may then have a detrimental effect on the whole ecosystem. In this example, the wolves would be a keystone species. | Joe | ropes | Dan and Joe studied animals for biology class. Joe had to study predator animals, while Dan studied herbivores and grazers.
Based on the above, answer the following question:
Which student learned less about the balance of organisms in an ecosystem? |
Siblings are brothers and sisters, and "brothers does not like" is a rephrasing of "brothers always hate", and "sisters keep their smile" is a rephrasing of "sisters always smile".
| No | esnli | Given the statement "Siblings- the brothers always hate the pictures and the sisters always smile.", is the statement "The brothers does not like the pictures and sisters keep their smile" wrong?
- Yes
- No
- Unknown |
First find the total difference in weight between the two people: 60 pounds - 40 pounds = 20 pounds
Then divide the weight difference by the weight of each rock to find the number of rocks need to even the weights: 20 pounds / 4 pound/rock = 5 rocks | 5 | gsm8k | Jack, who weighs 60 pounds, wants to play on the see-saw with his cousin Anna, who weighs 40 pounds. How many 4-pound rocks does Jack need to hold to make their weights equal? |
When an airplane smells bad it is often because it has not been cleaned in a long time and the smells are from things like vomit and dirty diapers which are both disgusting | No | FLUTE | Consider the statement "The airplane smelled like it hadn't been cleaned for months.". Is the statement "The airplane smelled like vomit and dirty diapers, suggesting that it probably hadn't been cleaned for months" false? Yes/no/unknown |
Just because two boys are playing it doesn't mean they are brothers. They could be neighbors. You also can't assume that since they are playing in the shadows of trees that they are in a forest. They may just be at the neighborhood park.
| Unknown | esnli | Context: Two boys playing in the shadows of the trees.
Hypothesis: Two brothers are playing in a forest
Is the hypothesis incorrect? (Yes, no, or unknown)? |
A sports team is not always soccer players. Fixing a soccer net is different from celebrating. A dance club would not be located in a grassy field.
| No | esnli | Consider the staetement "There are soccer players fixing a soccer net, in a grassy field.". Based on this statement, is "The sports team is celebrating at a dance club." a true statement? Yes/no/unknown |
Either people are taking a seat next to the bar or leaving the bar. They cannot do both at the same time.
| Yes | esnli | Context: a line of people take a seat next to a bar.
Hypothesis: People are getting ready to leave the bar.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Just because the man puts on a sweatshirt doesn't mean he's cold and that he already had a shirt on.
| Unknown | esnli | Given the statement "A man putting on a red sweatshirt with a cityscape behind him.", what is the statement "The man is cold and is putting on more clothes." true?
- Yes
- No
- Unknown |
It is implied that the workers looking around are the same workers standing outside looking at wires above them.
| No | esnli | Context: Construction workers standing outside looking at wires above them.
Hypothesis: Workers are looking around.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Lady walks behind another lady who is on the wheelchair implies that she walked behind the wheelchair.
| Yes | esnli | Context: A lady walks behind a wheelchair while another lady walks behind her.
Hypothesis: The lady walked behind the wheelchair.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
I highlighed A only because I had to highlight something. The info in the second sentence can be gleaned from the first one.
| Unknown | esnli | Consider the staetement "A small boy wearing blue is walking on barefoot towards the edge of a beach as small waves hit the shore.". Based on this statement, is "A boy wearing blue walking as waves hit the shore." a true statement? Yes/no/unknown |
A man in casual clothing cannot be standing and waiting while running down the street simultaneously.
| Yes | esnli | Consider the statement "3 men waiting in casual clothing standing.". Is the statement "a man is casual clothing is running down the street." false? Yes/no/unknown |
A dog can be either in the grass or inside. A dog can be either alone or with two other dogs. A dog can either rool on his back or sit.
| No | esnli | Given the statement "A dog rolls on his back in the grass as two other dogs look on.", what is the statement "a dog sits alone inside watching the rain" true?
- Yes
- No
- Unknown |
Gills are used for breathing water by aquatic animals.
All aquatic animals require dissolved oxygen to breathe.
Aquatic animals need gills to survive. | b | qasc | What do aquatic animals need to survive?
a: Water
b: gills
c: food
d: air
e: fishing
f: desert
g: history
h: warmth |
Just because a woman is sitting on a red bench does not mean that she is necessarily relaxing after a run through the park.
| Unknown | esnli | Context: "A woman is sitting on a red bench." Claim: "The lady is relaxing after a run through the park."
Considering the context, is the claim true, false, or unknown? |
Just because a man is about to cross the street doesn't mean that he is out for a walk. Also not all streets are in a city.
| Unknown | esnli | Consider the staetement "A man in a blue shirt is about to cross the street while a police car is driving by.". Based on this statement, is "A man is out taking a walk in the city." a true statement? Yes/no/unknown |
"A woman and a girl hold hands and walk down a park path."is a less descriptive version of "A girl in green with glittery fairy wings holds a woman's hand as they walk down a path in a park."
| True | esnli | Context: "A girl in green with glittery fairy wings holds a woman's hand as they walk down a path in a park." Claim: "A woman and a girl hold hands and walk down a park path."
Considering the context, is the claim true, false, or unknown? |
Although he is flashing the peace sign, it does not imply he flashes it at a passing group of bickering teens.
| Unknown | esnli | Context: Man in blue shirt and black cap riding bike down street flashing peace sign
Hypothesis: A man on a bike flashes the peace sign at a passing group of bickering teens
Is the hypothesis incorrect? (Yes, no, or unknown)? |
The subject must be either a boy or two elderly men and you a boat big enough for climbable rigging wouldn't be in a park.
| No | esnli | Consider the staetement "A boy climbs a rigging on a boat.". Based on this statement, is "Two elderly men feed pigeons in the park." a true statement? Yes/no/unknown |
First find the total weight of the hardcover books: 70 books * .5 pound/book = 35 pounds
Then find the total weight of the textbooks: 30 books * 2 pounds/book = 60 pounds
Then find the total weight of the knick-knacks: 3 knick-knacks * 6 pounds/knick-knack = 18 pounds
Then find the total weight of all the items: 35 pounds + 60 pounds + 18 pounds = 113 pounds
Then subtract the bookcase's weight limit: 113 pounds - 80 pounds = 33 pounds | 33 | gsm8k | Jason bought a new bookcase that can hold a maximum of 80 pounds of weight. Jason has 70 hardcover books that each weigh half a pound, 30 textbooks that each weigh 2 pounds, and 3 knick-knacks that each weight 6 pounds. How many pounds over the bookcase's weight limit is this total collection of items? |
Compared to conventional milk production, organic milk production tends to have lower eutrophication potential per ton of milk or per hectare of farmland, because it potentially reduces leaching of nitrates (NO3−) and phosphates (PO4−) due to lower fertilizer application rates. Because organic milk production reduces pesticides utilization, it increases land use per ton of milk due to decreased crop yields per hectare. Mainly due to the lower level of concentrates given to cows in organic herds, organic dairy farms generally produce less milk per cow than conventional dairy farms. Because of the increased use of roughage and the, on-average, lower milk production level per cow, some research has connected organic milk production with increases in the emission of methane.Animal welfare issues vary among dairy farms and are not necessarily related to the way of producing milk (organically or conventionally). | Increase | ropes | Context: There are two dairy farms in the town of Milkton and both are about the same size. Farm A produces only organic milk. Farm B does not but they are considering switching production to organic milk.
Question: Given farm B goes through with it's switch to being organic, will the amount of methane it produces likely increase or decrease? |
Radioactive dating is used to determine the age of fossils.
For a fossil to be made, the dead plant or animal has to be buried rapidly by sediment.
When dead plants or animals are buried rapidly by sediment, radioactive dating can be used to determine their age. | c | qasc | What is used to determine the age of plants or animals buried rapidly by sediment?
a. electron microscope
b. ruler
c. carbon dating
d. fossil dating
e. blastoids
f. microscope
g. Physical weathering
h. history books |
Old age begins in the mid-60s and lasts until the end of life. Many people over 65 have retired from work, freeing up their time for hobbies, grandchildren, and other interests. Stamina, strength, reflex time, and the senses all decline during old age, and the number of brain cells decreases as well. The immune system becomes less efficient, increasing the risk of serious illnesses such as cancer and pneumonia. Diseases such as Alzheimer’s disease that cause loss of mental function also become more common. | Megan | ropes | Consider the following text:
Megan, a sophomore in college, is visiting her grandparents who live out of town. There is a party going on at her grandparents' house because her grandma, Emily, has just retired. There is cake and ice cream and people are talking about their jobs, and Emily is talking about all the good and bad memories she has from her work.
Who is less likely to die to complications from an illness? |
A man could be playing the drums for fun or to practice, so it doesn't imply that an audience is there just because he is playing the drums.
| Unknown | esnli | Context: "A man in a brown vest playing a drum set."
Hypothesis: A man is playing the drums for an audience.
Based on the context, is the hypothesis true, false, or unknown? |
A middle-aged man with dark hair and glasses are using a telescopic equipment while holding a young boy who is looking at the camera
| Yes | esnli | Context: A middle-aged man with dark hair and glasses is looking through a telescope while holding a young boy who is looking at the camera.
Hypothesis: The people are using equipment.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Hemophilia is the name of a group of hereditary diseases that affect the body's ability to control blood clotting. Hemophilia is caused by a lack of clotting factors in the blood. Clotting factors are normally released by platelets. Since people with hemophilia cannot produce clots, any cut can put a person at risk of bleeding to death. The risk of internal bleeding is also increased in hemophilia, especially into muscles and joints. This disease affected the royal families of Europe. | More | ropes | Context:
Czar Nicholas was the last Romanov who ruled Russia. Al along he was in good health, but that was not the case with his son Prince Alexei. While Nicholas was free from hemophilia, a disease that devastated European royal families, Alexei was born with hemophilia. Many suggest this situation made some opportunists to take advantage of the Czar.
Q: Would Nicholas have more or less clotting factors in the blood than Alexei? |
The primary role of red blood cells in the circulatory system is to transport oxygen to the tissues. The actual carrier of oxygen molecules is the protein hemoglobin, which binds to the oxygen and moves it throughout the body, releasing it in areas where the concentration of dissolved oxygen is low. A certain mutation in the gene for hemoglobin causes a slight change in the structure of this crucial protein, resulting in a disease called sickle-cell anemia. For people with this mutation, the hemoglobin produced by their red blood cells has a tendency to clump together, distorting the shape of the red blood cells and giving rise to the crescent-shaped cells seen above. By understanding the changes in structure that are the underlying cause of this disease, we have developed various ways to treat and manage this illness. | Bob | ropes | Consider the following text:
Dan had two children: Karen which had sickle-cell anemia, and his son Bob, which was healthy.
Which child doesn't have a crucial protein that presents a mutation? |
Biodiversity loss is the extinction of species (plant or animal) worldwide, and also the local reduction or loss of species in a certain habitat.
The latter phenomenon can be temporary or permanent, depending on whether the environmental degradation that leads to the loss is reversible through ecological restoration / ecological resilience or effectively permanent (e.g. through land loss). Global extinction has so far been proven to be irreversible.
Even though permanent global species loss is a more dramatic phenomenon than regional changes in species composition, even minor changes from a healthy stable state can have dramatic influence on the food web and the food chain insofar as reductions in only one species can adversely affect the entire chain (coextinction), leading to an overall reduction in biodiversity, possible alternative stable states of an ecosystem notwithstanding. Ecological effects of biodiversity are usually counteracted by its loss. Reduced biodiversity in particular leads to reduced ecosystem services and eventually poses an immediate danger for food security, also for humankind.[1] | Location d | ropes | Consider the following text:
Rob is an environmental scientist. He is studying the effect of insect species on environment. For his study he chose four locations, location A, location B, location C and the entire globe, which he denoted as location D. He noticed location A's loss of biodiversity is temporary , but location B's loss is permanent. Location C's loss of biodiversity yet to be determined.
Which location's biodiversity loss likely to be permanent, location C or location D? |
The first sentences does not describe the clothing of the man, that he is wearing an old striped suit.
| Unknown | esnli | Consider the statement "A young girl serving biscuits to an elderly man.". Is the statement "There is a young girl serving food to an elderly man wearing an old striped suit." false? Yes/no/unknown |
A dog can be lying on the floor without watching its owner, and can be a sex other than female (her).
| Unknown | esnli | Consider the statement "a large white dog lying on the floor.". Is the statement "The large white dog is watching her owner." false? Yes/no/unknown |
Doesn't give any information if there was dozens of people. There Could be only a few people where he's playing
| I don't know | esnli | Given the statement "A male drummer wearing sunglasses and a yellow t-shirt bangs on a conga hand drum during a street festival.", is the statement "A male drummer wearing sunglasses and a yellow shirt plays a conga while dozens of people dance around him." is true?
- Yes
- No
- I don't know |
When people play strings, they are using a musical instrument to play music, so they cannot be acting out a scene.
| Yes | esnli | Given the statement "Two children acting out a scene in a play.", is the statement "two women play strings" wrong?
- Yes
- No
- Unknown |
No other children are mentioned, so 'the' is appropriate; that they pose together proves they are posing; wearing face paint proves they are posing with face paint on.
| Yes | esnli | Context: Three children wearing face paint pose together.
Hypothesis: The three children are posing with face paint on.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
In the first it says some men rest in a dilapidated area and in the second some men rest in a cool area
| True | esnli | Context: "Some men rest on the ground in a dilapidated area."
Hypothesis: Some men rest on the ground outside in a cool area.
Based on the context, is the hypothesis true, false, or unknown? |
The Gaia hypothesis states that the biosphere is its own living organism. The hypothesis suggests that the Earth is self-regulating and tends to achieve a stable state, known as homeostasis . For example the composition of our atmosphere stays fairly consistent, providing the ideal conditions for life. When carbon dioxide levels increase in the atmosphere, plants grow more quickly. As their growth continues, they remove more carbon dioxide from the atmosphere. In this way, the amount of carbon dioxide stays fairly constant without human intervention. | Brad | ropes | Context:
Two boys read about the Earth, Evolutionism and the Gaia hypothesis. Brad liked Evolutionism more, while Stan preferred the Gaia theory, and agreed with it.
Q: Which boy didn't agree that the Earth is self-regulating? |
Someone does not have to be a lady. Just because someone is holding a tree it does not mean they pose for a picture.
| Unknown | esnli | Given the statement "Someone in a lime green shirt is holding on to a tree.", what is the statement "A lady poses for a picture hugging a tree." true?
- Yes
- No
- Unknown |
A group of people observe a young man in front of a statue does not necessary that they are watching a guy dance outside.
| I don't know | esnli | Consider the statement "A group of people observe a young man in front of a statue.". Based on this "people are watching a guy dance outside." a true statement? Yes, no, or I don't know? |
One cannot jump the queue for any reason. | (a) | senmaking | Which of the following two sentences does not make sense?
Options:
(a) "there were so many people that i had to jump the queue for the toilets"
(b) "there were so many people that i had to join the queue for the toilets" |
Earthquakes may take place every day near a volcano. But before an eruption, the number and size of earthquakes increases. This is the result of magma pushing upward into the magma chamber. This motion causes stresses on neighboring rock to build up. Eventually the ground shakes. A continuous string of earthquakes may indicate that a volcano is about to erupt. Scientists use seismographs to record the length and strength of each earthquake. | Green | ropes | Context: Two sister villages, both situated near volcanoes, experience daily earthquakes. Green village started recording an increased size and number of earthquakes one day. Blue village didn't experience a change in the number of earthquakes.
Question: Which village started experiencing more ground shaking? |
People in reflective gear who holds light sticks are standing on a wooden floor which has outdoor lighting.
| Yes | esnli | Consider the statement "A group of men in reflective gear are holding light sticks while standing on a wooden floor that has outdoor lighting.". Based on this "There are people standing on a wooden floor." a true statement? Yes, no, or I don't know? |
Mantle melting can come about three ways: (1) when the temperature rises, (2) if the pressure lowers (which lowers the melting point), and (3) if water is added, which lowers the melting point. Two of these (1 and 3) might explain why there are volcanoes at convergent plate boundaries the temperature of the subducting plate increases as it sinks into the hot mantle (1). Sediments lying on top of the subducting plate contain water. As the sediments subduct, the water rises into the overlying mantle material. This lowers the melting temperature of the mantle (3). When the mantle above the subducting plate melts, volcanoes form above it. This leads to volcanoes in an island arc or continental arc. | Pete | ropes | Context: Two scientist, Pete and Gill, studied the Earth's crust and geology. Pete studied earthquakes, while Gill studied mantles and volcanos.
Question: Which person studied less about volcanoes in an island arc? |
Recall that
\[\|\mathbf{a} \times \mathbf{b}\| = \|\mathbf{a}\| \|\mathbf{b}\| \sin \theta,\]where $\theta$ is the angle between $\mathbf{a}$ and $\mathbf{b}.$ Hence,
\[8 = 2 \cdot 5 \cdot \sin \theta,\]so $\sin \theta = \frac{4}{5}.$ Then
\[\cos^2 \theta = 1 - \sin^2 \theta = \frac{9}{25},\]so $\cos \theta = \pm \frac{3}{5}.$ Hence,
\[|\mathbf{a} \cdot \mathbf{b}| = \|\mathbf{a}\| \|\mathbf{b}\| |\cos \theta| = 2 \cdot 5 \cdot \frac{3}{5} = 6.\] | $6$ | competition-math | Let $\mathbf{a}$ and $\mathbf{b}$ be vectors such that $\|\mathbf{a}\| = 2,$ $\|\mathbf{b}\| = 5,$ and $\|\mathbf{a} \times \mathbf{b}\| = 8.$ Find $|\mathbf{a} \cdot \mathbf{b}|.$ |
We dont know if the girls are siblings. we dont know if their bathing suits are different colored.
| Unknown | esnli | Context: "Two little girls at the beach, one in pink playing in the sand and the other getting her feet wet in the water." Claim: "The siblings are wearing different colored bathing suits."
Considering the context, is the claim true, false, or unknown? |
A kid may not be little and may be a bo or a girl. wipes nose with a blue shirt does not mean licks the snot
| False | esnli | Context: "A little boy wipes his nose with his blue shirt."
Hypothesis: The kid licks the snot from his nose.
Based on the context, is the hypothesis true, false, or unknown? |
No evidence that the little girl is the daughters of the women. There was no mention of an animal being at the family gathering too.
| Unknown | esnli | Context: Two women, each embracing a little girl, catch up at a small family gathering.
Hypothesis: The women were showing their daughters an animal.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
连绵数$$n$$的个位只能为$$0$$、$$1$$、$$2$$有三种情况，十位只能为$$0$$、$$1$$、$$2$$、$$3$$有四种情况；百位也只能为$$0$$、$$1$$、$$2$$、$$3$$有四种情况。那么在$$0$$$$\sim$$$$999$$中，连绵数有$$3\times 4\times 4=48$$（个），而$$1000$$也为连绵数，那么在不超过$$1000$$的自然数中，连绵数有$$48+1=49$$（个），选$$D$$。 | D | TAL-SCQ5K | 若自然数$$n$$使得作竖式加法$$n+\left( n+1 \right)+\left( n+2 \right)$$不产生进位现象，便称$$n$$为``连绵数''，例如$$12$$是连绵数，$$13$$不是``连绵数''，那么不超过$$1000$$的``连绵数''共有（ ）
A: 46个
B: 47个
C: 48个
D: 49个 |
Just because a young boy is on a motorcycle does not mean he is a child or that the motorcycle is his dad's.
| I don't know | esnli | Given the statement "young boy on a motorcycle smiling.", is the statement "a child posing on his dad's motorcycle" is true?
- Yes
- No
- I don't know |
Tom earns 3 lawns * $12 per lawn = $36 per month.
Tom earned $36 + $10 = $46 last month.
Tom's profit last month was $46 - $17 gas money = $29. | 29 | gsm8k | Tom has a job mowing lawns around his neighborhood. Each month he spends $17 on gas and mows 3 lawns, charging $12 per lawn mowed. Last month he also made extra money pulling weeds for $10. How much profit did Tom earn last month? |
A plastic stove can not actually produce heat without melting. | A | senmaking | Which of these sentences doesn't make sense?
A) "a plastic stove is a heat source"
B) "a wood stove is a heat source" |
Just because the woman is pulling a basket-like cart does not mean the woman is taking home her groceries from the store.
| Unknown | esnli | Context: "A woman wearing a gray coat, with brownish hair, is pulling a basket-like cart." Claim: "A woman is taking home her groceries from the store."
Considering the context, is the claim true, false, or unknown? |
甲和乙一天可以完成$$\frac{5}{12}$$，乙和丙一天可以完成$$\frac{4}{15}$$，甲和丙一天可以完成$$\frac{7}{20}$$，则三个工程队一天一共可以完成$$\frac{1}{2}\times \left( \frac{5}{12}+\frac{4}{15}+\frac{7}{20} \right)=\frac{31}{60}$$，则甲工程队的效率为：$$\frac{31}{60}-\frac{4}{15}=\frac{1}{4}$$，乙工程队的效率为：$$\frac{5}{12}-\frac{1}{4}=\frac{1}{6}$$，丙工程队的效率为：$$\frac{4}{15}-\frac{1}{6}=\frac{1}{10}$$．按要求，只有甲、乙工程队能在一星期内完成．甲、乙、丙$$3$$队一天的工程款是：$$\left( 1800\div 2\frac{2}{5}+1500\div 3\frac{3}{4}+1600\div 2\frac{6}{7} \right)\div 2=855$$（元）. 甲工程队一天的工程款是:$$855-1500\div 3\frac{3}{4}=455$$（元），甲工程队总的工程款是:$$455\times 4=1820$$（元）； 乙工程队一天的工程款是：$$855-1600\div 2\frac{6}{7}=295$$（元），乙工程队总的工程款是:$$295\times 6=1770$$（元）．所以乙工程队所需费用最省，乙工程队被招标. | 乙 | TAL-SCQ5K | 某工程进行招标，甲、乙两工程队承包$$2\frac{2}{5}$$天完成，需人民币$$1800$$元；乙、丙两工程队承包$$3\frac{3}{4}$$天完成，需人民币$$1500$$元；甲、丙两工程队承包$$2\frac{6}{7}$$天完成，需人民币$$1600$$元．现要求某队单独承包一星期内完成，所需费用最省，则被招标的是工程队.
- 甲
- 乙
- 丙
- 甲或乙 |
If a man is with a walking cane on a paved walkway, it follows that the man is standing on a paved walkway.
| Yes | esnli | Given the statement "A man with an arm brace and a walking cane on a paved walkway at a park green, an older man is standing directly behind him and two other people are on the distant grass.", what is the statement "A man is standing on a paved walkway." true?
- Yes
- No
- Unknown |
If a person is walking in front of flowered reefs, they don't have to be walking with their son. They don't have to be near the reefs, just in front of them.
| I don't know | esnli | Context: An elderly Asian woman with a cane walking in front of several yellow and white flowered reefs.
Hypothesis: An old woman walks with her son near yellow and white flowered reefs.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Temperature has no correlation to value when it comes to the profitability of gold. | 2 | senmaking | One of the following sentences is nonsensical. Which one is it?
Options:
1) "the price of gold keeps rising, it's time to sell off"
2) "the temperature of gold keeps rising, it's time to sell off" |
Corals form large colonies in shallow tropical water.
Corals corals are in the polyp stage.
Something in the polyp stage can form large colonies in shallow tropical water. | [h] | qasc | Something in the polyp stage can form large colonies in shallow tropical what?
[a] mountains
[b] ice
[c] porous
[d] CO 2
[e] complex
[f] colonies
[g] wetland
[h] water |
- Chemical reactions cause new materials to form
- Chemical change is a kind of chemical reaction
- Therefore, chemical changes cause new materials to form
Therefore, chemical changes cause new materials to form | A new material is formed. | entailment_bank | Q: Which of the following is a characteristic of all chemical changes?
Context:
- Chemical reactions cause new materials to form
- Chemical change is a kind of chemical reaction |
The movement of an air mass over earth 's surface causes local weather changes.
Mountains make their own weather by forcing incoming air masses upward as they strike the mountains.
Mountains can influence local weather changes and make their own weather. | 3 | qasc | Which of the following could cause local weather changes?
1. Movement
2. Winter
3. Mountains
4. flooding
5. Temperature
6. Sports reporters
7. Weather vanes
8. Meteorologists |
选项$$\rm A$$：$$12$$题，按第一种给分方法，最多得$$12\times 5=60$$分，排除$$\rm A$$；选项$$\rm B$$：$$15$$题，按第一种给分方法，最多得$$15\times 5=75$$分，排除$$\rm B$$； 选项$$\rm D$$：$$17$$题，按第一种给分方法，得$$81$$分只有一种方法，$$81=5\times 15+2\times 3$$，因此比赛试题最少应该有$$15+3=18$$题，排除$$\rm D$$．故选$$\rm C$$ | 3 | TAL-SCQ5K | 某次数学比赛，分两种方法给分，一种是答对了一题给$$5$$分，不答给$$2$$分，答错不给分；另一种是先给$$40$$分，答对一题给$$3$$分，不答不给分，答错扣$$1$$分．某考生两种判分方法均得$$81$$分，这次比赛共有( )题．
1. $$12$$
2. $$15$$
3. $$22$$
4. $$17$$ |
Genetically modified organisms (GMO) are organisms whose genetic material has been altered by genetic engineering techniques generally known as recombinant DNA technology. Genetic engineering has expanded the genes available to breeders to utilize in creating desired germlines for new crops. Increased durability, nutritional content, insect and virus resistance and herbicide tolerance are a few of the attributes bred into crops through genetic engineering. For some, GMO crops cause food safety and food labeling concerns. Numerous countries have placed restrictions on the production, import or use of GMO foods and crops. Currently a global treaty, the Biosafety Protocol, regulates the trade of GMOs. There is ongoing discussion regarding the labeling of foods made from GMOs, and while the EU currently requires all GMO foods to be labeled, the US does not.Herbicide-resistant seed has a gene implanted into its genome that allows the plants to tolerate exposure to herbicides, including glyphosate. These seeds allow the farmer to grow a crop that can be sprayed with herbicides to control weeds without harming the resistant crop. Herbicide-tolerant crops are used by farmers worldwide. With the increasing use of herbicide-tolerant crops, comes an increase in the use of glyphosate-based herbicide sprays. In some areas glyphosate resistant weeds have developed, causing farmers to switch to other herbicides. Some studies also link widespread glyphosate usage to iron deficiencies in some crops, which is both a crop production and a nutritional quality concern, with potential economic and health implications.Other GMO crops used by growers include insect-resistant crops, which have a gene from the soil bacterium Bacillus thuringiensis (Bt), which produces a toxin specific to insects. These crops resist damage by insects. Some believe that similar or better pest-resistance traits can be acquired through traditional breeding practices, and resistance to various pests can be gained through hybridization or cross-pollination with wild species. In some cases, wild species are the primary source of resistance traits; some tomato cultivars that have gained resistance to at least 19 diseases did so through crossing with wild populations of tomatoes. | Valley | ropes | Consider the following text:
Two neighboring farms used different farming methods. Hill farm used GMO seeds, fertilizers and pesticides. Valley farm used only organic methods and non-GMO seeds.
Which farm used fewer herbicide-resistant seeds? |
The man may just be resting there or waiting for somebody. It doesn't guarantee he's waiting for the store to open.
| Unknown | esnli | Consider the staetement "A line of blue, green, and white booths line the side of a street outside a store with one man sitting in a booth.". Based on this statement, is "The man is waiting for the store to open." a true statement? Yes/no/unknown |
A kid standing and looking determined in the playground doesn't necessarily mean that the child prepares to fight.
| Unknown | esnli | Context: "Kid standing and looking determined in the playground" Claim: "A child at the playground prepares to fight."
Considering the context, is the claim true, false, or unknown? |
Gluons make quarks attract each other more strongly the farther apart the quarks get. | [A] | quartz | When there are low levels of gluons in quarks it becomes
[A] weaker
[B] stronger |
Just because the man is sitting at an organ with people looking on does not mean the man is about to perform.
| Unknown | esnli | Context: A man in a long-sleeved lack shirt sitting at an organ in a large building as people 3 people look on.
Hypothesis: The man at the organ is about to perform.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
It does not have to be Easter for children to wear dresses and pose. Children can pose without having their photograph taken.
| Unknown | esnli | Context: Two little girls in matching dresses pose with two little boys in matching outfits.
Hypothesis: Two girls and two boys are posing for their Easter photos.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Just because a man is sawing wood doesn't mean he is a worker and doesn't mean he is making lumber.
| Unknown | esnli | Context: A man wearing ear covers is sawing wood with a chainsaw.
Hypothesis: A worker is making lumber.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
One cannot be sitting down and jumping out of a plane at the same time. If he is sitting in the cockpit then he is not jumping out of the plane.
| No | esnli | Given the statement "A parachuter is jumping out of a plane towards an airstrip below.", is the statement "A parachuter is sitting down in the cockpit." is true?
- Yes
- No
- I don't know |
The boy may be playing guitar by himself and not putting on a guitar show. The boy may be little but he could just be short for his age, you can't assume he is young.
| Unknown | esnli | Context: "A little boy playing a guitar." Claim: "A young boy is putting on a guitar show."
Considering the context, is the claim true, false, or unknown? |
Another major cause of extinction is global warming , which is also known as global climate change. During the past century, the Earth's average temperature has risen by almost 1°C (about 1.3°F). You may not think that is significant, but to organisms that live in the wild and are constantly adapting to their environments, any climate change can be hazardous. Recall that burning fossil fuels releases gasses into the atmosphere that warm the Earth. Our increased use of fossil fuels, such as coal and oil, is changing the Earth’s climate. Any long-term change in the climate can destroy the habitat of a species. Even a brief change in climate may be too stressful for an organism to survive. For example, if the seas increase in temperature, even briefly, it may be too warm for certain types of fish to reproduce. | Hank | ropes | Two students studied for the biology exam. Ken studied about global warming, while Hank studied about Earth's oceans.
Which student learned less about the increasing use of oil? |
The majority of motor vehicles worldwide are powered by gasoline or diesel. | Yes | feasibilityQA | The car ran out of fuel thus Finn had to walk to the nearest gas station to get that fuel in a container.
Q: Is it true that "The container could contain gasoline." |
People like music and would not listen to it if it was bad. | a | senmaking | Of the following two sentences, which one is against common sense?
Options:
a. "music is a very bad sound."
b. "music is a very beautiful sound." |
Not all men are construction workers. About to work does not imply they are going to start a project.
| Unknown | esnli | Context: Five men stand outside and look like they are about to work.
Hypothesis: Five construction workers are about to start a project
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
$$\frac{4x-2y}{xy}=\frac{4\times \frac{1}{2}-2\times (-2)}{\frac{1}{2}\times (-2)}=\frac{2+4}{-1}=-6$$．选$$\text{A}$$． | a | TAL-SCQ5K | 当$$x=\frac{1}{2}$$，$$y=-2$$时，代数式$$\frac{4x-2y}{xy}$$的值是（~ ~ ）．
a: $$-6$$
b: $$-2$$
c: $$2$$
d: $$6$$ |
There are two girls in doing separate activities, we can imply that they are watching each other. Looks on and watching mean the same thing
| Yes | esnli | Consider the staetement "A little girl in a red shirt and jeans climbs a small tree while another little girl looks on.". Based on this statement, is "One girl is watching another." a true statement? Yes/no/unknown |
The sight of a mountain lion can be quite frightening and dangerous, so someone being grateful for seeing it is not logical. | No | FLUTE | Consider the staetement "I was scared when I saw a mountain lion at night right in front of me.". Based on this statement, is "The fact that I saw a mountain lion at night right in front of me made me so grateful" a true statement? Yes/no/unknown |
Taking pictures is a rephrasing of takes pictures, and changing a tire is a rephrasing of changes a tire.
| No | esnli | Given the statement "A man in a yellow shirt is taking pictures while a man in jean overalls is changing a tire on a black car.", is the statement "A man changes a tire while another person takes pictures." wrong?
- Yes
- No
- Unknown |
(Mathematics + Algebra) - (Algebra + Geometry) = 28
Mathematics - Geometry = 28 | c | aqua | The total number of problems in the mathematics and algebra books is 28 more than the total number of problems in the algebra and geometry books. How much lesser is the number of problems in the geometry book as compared to the mathematics book?
a. 30
b. 18
c. 28
d. 25
e. 32 |
Inside a building is the same as being in a building. To be surrounded by people would be to be with them.
| No | esnli | Consider the statement "A man wearing a black suit is surrounded by many people inside a building with busts of people on the wall.". Is the statement "A man is in a building with people." false? Yes/no/unknown |
A large log placed in a fire will burn relatively slowly. If the same mass of wood were added to the fire in the form of small twigs, they would burn much more quickly. This is because the twigs provide a greater surface area than the log does. An increase in the surface area of a reactant increases the rate of a reaction. Surface area is larger when a given amount of a solid is present as smaller particles. A powdered reactant has a greater surface area than the same reactant as a solid chunk. In order to increase the surface area of a substance, it may be ground into smaller particles or dissolved into a liquid. In solution, the dissolved particles are separated from each other and will react more quickly with other reactants. | Group q | ropes | Consider the following text:
Two groups of friends went camping , but camped separately a few hundred yards away and started a fire each. Both groups had the same volume of wood. Group P had larger logs, while group Q had small twigs, sawdust and kindlings.
Which group had wood that provided a larger surface area for the fire to burn? |
It passed $$31-10 + 21 = 42$$ days in total. Since $$42 \div 7 = 6$$, it was Sunday. | c | TAL-SCQ5K | Joann\textquotesingle s birthday in $$2020$$ was May $$10$$\textsuperscript{th}, which was Sunday. Elizabeth\textquotesingle s birthday in $$2020$$ was June $$21$$\textsuperscript{st}. On what day did Elizabeth\textquotesingle s birthday fall?
a: Thursday
b: Saturday
c: Sunday
d: Tuesday |
To flash a smile means to show teeth in a quick, often happy way. | No | FLUTE | Consider the statement "He smiles all the time.". Is the statement "He always flashes a smile." false? Yes/no/unknown |
Just because she's at the the farmers market, doesn't mean people are shopping there and buying vegetables.
| I don't know | esnli | Consider the statement "A woman s sitting in front of a bunch of vegetable in a dress while at a farmers market.". Based on this "People are shopping at a market buying vegetables" a true statement? Yes, no, or I don't know? |