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The skateboarders watching tv in living room contradicts skateboarders being photographed on a hill.
| False | esnli | Context: "Skateboarders being photographed on a hill."
Hypothesis: The skateboarders are in the living room watching TV.
Based on the context, is the hypothesis true, false, or unknown? |
A hairdresser cannot be setting someone's hair on fire and applying permed to a clients hair at the same time.
| No | esnli | Given the statement "A hair dresser is applying permed on a client's hair in a salon.", what is the statement "A lady is setting someones hair on fire." true?
- Yes
- No
- Unknown |
Not all bicycles are red. Just because the bicycle is being ridden on a busy street does not necessarily mean that the bicycle is racing at a high speed.
| I don't know | esnli | Given the statement "A man in the foreground wearing a white shirt and black pants riding a bicycle with a basket in a busy street.", is the statement "The red bicycle is racing beside the cars." is true?
- Yes
- No
- I don't know |
Dalton watched 7 – 2 = 5 more movies.
Hunter watched 12 – 2 = 10 more movies.
Alex watched 15 – 2 = 13 more movies.
Altogether, they watched 2 + 5 + 10 + 13 = 30 different movies. | 30 | gsm8k | Dalton, Hunter, and Alex started a Superhero Fan Club. They set a goal to watch as many Superhero movies as they could in one summer. Dalton watched 7 movies, Hunter watched 12, and Alex watched 15. They all watched 2 movies together, but every other movie they watched was different. How many different movies did they see? |
Just because a person prepares to pout something into a cistern. doesn't imply she is serving her customers
| Unknown | esnli | Consider the staetement "Wearing a hairnet and blue apron a woman prepares to pout something into a cistern.". Based on this statement, is "woman serving her customers" a true statement? Yes/no/unknown |
Just because women are showing traditional sewing and crafting techniques does not mean that they are showing how to make a quilt.
| Unknown | esnli | Context: Two women show traditional sewing and crafting techniques.
Hypothesis: The two women show how to make a quilt.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Let's assume the number of female attendees is x.
The number of male attendees is x+4.
The sum of male attendees and female attendees is x+x+4 = 120
2x+4 = 120
2x = 116
The number of female attendees is x=116/2 = 58
The number of male attendees is 58+4 = 62 | 62 | gsm8k | At a UFO convention, there are 120 conference attendees. If there are 4 more male attendees than female attendees, how many male attendees are there? |
Just because a cruise ship passes does not mean that it is making a stop at the beach. Cruise ships can pass by land without stopping.
| I don't know | esnli | Given the statement "A large cruise ship passes by a beach where sunbathers recline under yellow umbrellas.", is the statement "The cruise ship is making a stop at the beach" is true?
- Yes
- No
- I don't know |
If people are looking back their eyes are open. If they are sleeping their eyes are closed. A person can not have his eyes open and closed at the same time.
| No | esnli | Given the statement "Two spectators are adorn with Mickey Mouse ears while looking back at an angle from a stadium.", is the statement "Two people are sleeping" is true?
- Yes
- No
- I don't know |
Muscles can only contract.
Arm day hits the bicep, tricep and forearm muscles.
Triceps can only contract. | E | qasc | what can only contract?
A: resistance
B: lungs
C: nerves
D: Bend
E: triceps
F: strong
G: mechanical
H: four limbs |
A man wearing a brown sweatshirt helps a man in red climb a rock does not indicate that they are wearing brown ad red clothing
| Unknown | esnli | Context: A man wearing a brown sweatshirt helps a man in red climb a rock.
Hypothesis: They are wearing brown ad red clothing
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
We have no idea if they are wrestling for charity, they could be wrestling for a number of reasons.
| Unknown | esnli | Context: "Several men without shirts wrestle on the grass as a crowd watches"
Hypothesis: Some men are wrestling for charity.
Based on the context, is the hypothesis true, false, or unknown? |
Insulin helps cells take up glucose from the blood.
For example, insulin is a protein hormone.
Protein hormones help cells take up glucose from the blood. | protein hormones | qasc | What helps cells take up glucose from the blood?
Options:
- Chemical energy
- Veins and arteries.
- layers of fat
- sweating
- protein hormones
- aqueous solution
- oxidation reaction
- pancreas |
A co-worker ruining someone's day is not a good thing and should not invoke feelings of joy, but rather feelings of frustration. | No | FLUTE | Context: I'm having such trouble with a co-worker.
Hypothesis: I'm so overjoyed with how my co-worker always manages to ruin my day
Given this context, is the hypothesis true (Yes/No/I don't know)? |
1/2 the age of Alvin who is 30 is 30/2 = 15
Simon is 5 years away from being half the age of Alvin so Simon is 15-5 = 10 years old | 10 | gsm8k | Alvin is 30 years old and Simon is 5 years away from being 1/2 the age of Alvin. How old is Simon? |
A man in a green shirt and blue jeans is standing at a crosswalk across from a large building does not indicate he crosses the street during his lunch to go get some hot dogs.
| Unknown | esnli | Consider the statement "A man in a green shirt and blue jeans is standing at a crosswalk across from a large building.". Is the statement "A man crosses the street during his lunch to go get some hot dogs." false? Yes/no/unknown |
2 people having a conversation could be discussing any topic. There is no justification that the second man is a Bishop, nor that he talk about his church.
| Unknown | esnli | Given the statement "The Pope and another man in a black suit are having a conversation.", what is the statement "The Pope is listening to the Bishop talk about his church." true?
- Yes
- No
- Unknown |
Cholesterol has been implicated in heart disease for decades. Atherosclerosis is a disorder of the arteries in which cholesterol and other materials are deposited on the interior of the arterial wall. These deposits lead to the formation of plaques that can restrict or even block the flow of blood through these blood vessels (see Figure below ). A decrease in the flow of blood can lead to high blood pressure and a lowered oxygen supply to the heart muscle. A complete blockage of blood flow to parts of the heart (a heart attack) can cause significant damage due to oxygen deprivation, in some cases leading to death. | Fred | ropes | Consider the following text:
Fred was a good athlete in his youth, and so was Vic. Fred started eating junk food and other fatty foods in his 30's. His cholesterol is very high now. Vic became a vegan later,and he is in a very good physical shape.
Which friend had a greater chance of developing high blood pressure? |
There is either an older couple looking down on a younger couple as they make love, or there is a group of people playing solitaire together.
| No | esnli | Context: An older couple looking down on a younger couple as they make love.
Hypothesis: Everyone is playing solitaire together.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
The body's second line of defense against pathogens includes the inflammatory response. If bacteria enter the skin through a scrape, the area may become red, warm, and painful. These are signs of inflammation. Inflammation is one way the body reacts to infections or injuries. Inflammation is caused by chemicals that are released when skin or other tissues are damaged. The chemicals cause nearby blood vessels to dilate, or expand. This increases blood flow to the damaged area, which makes the area red and slightly warm. The chemicals also attract white blood cells called neutrophils to the wound and cause them to leak out of blood vessels into the damaged tissue. | Bill | ropes | Consider the following text:
Two medical students learned about the human body's defense against pathogens. Niles learned about the body's first line of defense, while Bill learned more about the inflammatory response.
Which student learned more about the infected area becoming painful? |
The lungs of mammals are unique in having alveoli . These are tiny, sac-like structures. Each alveolus is surrounded by a network of very small blood vessels (see Figure below ). Because there are millions of alveoli in each lung, they greatly increase the surface area for gas exchange between the lungs and bloodstream. Human lungs, for example, contain about 300 million alveoli. They give the lungs a total surface area for gas exchange of up to 90 square meters (968 square feet). That’s about as much surface area as one side of a volleyball court! | Barry | ropes | Context:
Two students learned about respiratory systems in animals. Dana learned more about mammalian lungs, while Barry learned more about the lungs of birds.
Q: Which student learned less about surface area for gas exchange between the lungs and bloodstream? |
Kisses are usually reserved for people we like, not burglars. | "he kissed the burglar who robbed him" | senmaking | Of the below sentences, which one does *not* make sense?
"he beat the burglar who robbed him"
"he kissed the burglar who robbed him" |
The picture shows a kid dressed up and dancing. Being dressed up implies the kid is wearing a costume. Dancing implies the kid is happy and, therefore, smiling.
| True | esnli | Context: "Here is a picture of a kid dressed up in a costume, smiling and dancing." Claim: "A picture of a kid dressed up and dancing."
Considering the context, is the claim true, false, or unknown? |
Just because many people are gathered in a small park, both sitting on benches and lounging on the grass doesn't meant they are gathered in a small park for a company picnic outside.
| I don't know | esnli | Consider the statement "Many people are gathered in a small park, both sitting on benches and lounging on the grass.". Based on this "A group of people gathered in a small park for a company picnic outside." a true statement? Yes, no, or I don't know? |
To tough titty means to have no sympathy for the situation another person is in, but in this context Miranda is saying that she cares a lot | No | FLUTE | Given the statement "I care a lot about your situation and how you feel, vamp, Miranda said.", is the statement "tough titty, vamp,miranda said." is true?
- Yes
- No
- I don't know |
Crossing two living things with recessive traits causes their offspring to have that recessive trait.
White eye color is a recessive trait.
Crossing two living things with white eyes causes their offspring to have white eyes. | A | qasc | The offspring of two living things with white eyes have what color eyes?
A: white
B: tiny
C: pigeons
D: green
E: alleles
F: black
G: similar
H: yellow |
Because of the forces of gravity, as an object moves down a sloped surface, it accelerates the longer it remains on the sloped surface. A hill is a sloped surface and the child is on the sled, so the child is accelerating with the sled as it moves down the hill.
| True | esnli | Context: "A child is sliding down a hill on a sled."
Hypothesis: The child accelerated as the sled went down the hill.
Based on the context, is the hypothesis true, false, or unknown? |
We don't know who caught the fish. Preparing the fish does not always mean he is about to cook and eat it. He could be cleaning and preparing it to be frozen.
| Unknown | esnli | Given the statement "An elderly man in coat and boots prepares a freshly caught fish.", what is the statement "A man is about to cook and eat a fish he caught." true?
- Yes
- No
- Unknown |
Let $$x$$ be the interest rate of bank $$A$$: $$7000x+3000(10\textbackslash\%-x)=460$$ $$x=4\textbackslash\%$$. | [C] | TAL-SCQ5K | James had $$10000$$ dollars, and he deposited ＄$$7000$$ in Bank $$A$$ and ＄$$3000$$ in Bank $$B$$. At the end of the year, James received an interest of＄$$460$$ in total. Given that the sum of the annual interest rates of the two banks is $$10\textbackslash\%$$, find the interest rates of the two banks, respectively.
Options:
[A] $$2\textbackslash\%$$; $$8\textbackslash\%$$.
[B] $$3\textbackslash\%$$; $$7\textbackslash\%$$.
[C] $$4\textbackslash\%$$; $$6\textbackslash\%$$.
[D] $$5\textbackslash\%$$; $$5\textbackslash\%$$. |
One sentence says the priest is speaking, the other that he is giving communion. He has to be doing one or the other. Stained-glass usually refers to windows, not pictures.
| No | esnli | Given the statement "A priest speaks from an ornate pulpit with stained glass pictures in the background.", is the statement "The priest is giving communion." is true?
- Yes
- No
- I don't know |
Sonar is used to find the location of an object.
Periscopes are still useful, despite the sonar and electronic sensors of modern submarines.
Periscopes are used to find the location of objects. | 3 | qasc | periscopes are used to find out what about objects
1) microscopic
2) density
3) location
4) weight
5) Light
6) energy
7) observe it
8) age |
A man can be young or elderly, and even an elderly man is not necessarily in retirement. A lake does not imply that there are lakehouses, and, even if there are, the man may not own it.
| I don't know | esnli | Consider the statement "A man floating on a tube on a lake.". Based on this "An elderly gentleman is on a lake near his retirement lakehouse." a true statement? Yes, no, or I don't know? |
It's not possible for a flower to provide energy for charging a phone. | A | senmaking | Choose the sentence that goes against common sense.
A: "he charged his phone with a flower"
B: "he charged his phone with the charger" |
Julio catches a total of 7 fish/hour * 9 hours = 63 fish.
After losing some of the fish, Julio has 63 fish - 15 fish = 48 fish. | 48 | gsm8k | Julio goes fishing and can catch 7 fish every hour. By the 9th hour, how many fish does Julio have if he loses 15 fish in the process? |
Playing is just one of many ways that mammals and other animals learn how to behave.
After all, seals are mammals just as humans are mammals.
Playing is just one of many ways that humans and other animals learn how to behave. | D | qasc | What uses playing as just one of many ways to learn how to behave?
A: athletes
B: Toys
C: sharks
D: Humans
E: Video games
F: exercise
G: people
H: A.I |
To explore space we cannot use cruise ships. | B | senmaking | Choose the sentence that goes against common sense.
A) "rockets can explore space"
B) "cruise ships can explore space" |
If a lady and a little boy are standing on stairs it means that they are together and both standing on the stairs.
| No | esnli | Consider the statement "a lady is talking with a little boy both standing on stairs". Is the statement "A lady and little boy stand on stairs." false? Yes/no/unknown |
C | (3) | TAL-SCQ5K | Alina writes the numbers $1,2,\cdots ,9$ on a separate cards, one number per card. She wishes to divide the cards into $3$ groups of $3$ cards so that the sum of the numbers in each group will be the same. In how many ways can this be done?
Options:
(1) $$0$$
(2) $$1$$
(3) $$2$$
(4) $$3$$
(5) $$4$$ |
Just because he has spray paint cans, it does not imply that he was using the cans to paint the wall.
| Unknown | esnli | Consider the statement "A man in a black shirt is playing bowling where the pins are replaced with spray paint cans and there is a graffiti filled wall in the background.". Is the statement "A man plays a game of bowling with spray paint cans after using the cans to paint the wall." false? Yes/no/unknown |
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 410 + 140 = 550 m
Required time = 550 * 2/25 = 44 se | c | aqua | A train 410 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
a: 40 sec
b: 50 sec
c: 44 sec
d: 49 sec
e: 60 sec |
The body's second line of defense against pathogens includes the inflammatory response. If bacteria enter the skin through a scrape, the area may become red, warm, and painful. These are signs of inflammation. Inflammation is one way the body reacts to infections or injuries. Inflammation is caused by chemicals that are released when skin or other tissues are damaged. The chemicals cause nearby blood vessels to dilate, or expand. This increases blood flow to the damaged area, which makes the area red and slightly warm. The chemicals also attract white blood cells called neutrophils to the wound and cause them to leak out of blood vessels into the damaged tissue. | Omega | ropes | Context:
A team of researchers named Alpha did some research on the inflammatory response in humans for a science contest. A competing team called Omega did research on the human genome. Team Omega lost.
Q: Which team studied less about the body's second line of defense against pathogens? |
In five years Drew will be 12+5=17 years old.
In five years Sam will be 3(17)=51 years old.
Sam is currently 51-5=46 years old. | 46 | gsm8k | In five years Sam will be 3 times as old as Drew. If Drew is currently 12 years old, how old is Sam? |
A little girl blowing out candles on her third birthday is not necessarily blowing out three candles.
| Unknown | esnli | Context: "A family watches as a little girl blows out the candles on her third birthday" Claim: "A small girl blows out three candles."
Considering the context, is the claim true, false, or unknown? |
The youths spent their past time on a cement structure because they were sitting atop the structure.
| Yes | esnli | Consider the statement "A gaggle of youths sitting atop a cement structure.". Based on this "A gaggle of youths spent their past time on a cement structure." a true statement? Yes, no, or I don't know? |
A man wearing glasses sitting at a desk could be anyone, here we learn that The office worker is thinking while sitting at his desk.
| Unknown | esnli | Context: "A man wearing glasses sitting at a desk with a large pile of papers."
Hypothesis: The office worker is thinking.
Based on the context, is the hypothesis true, false, or unknown? |
Another obvious change that occurs during puberty is rapid growth. This is called the adolescent growth spurt . In boys, it is controlled by testosterone. The rate of growth usually starts to increase relatively early in puberty. At its peak rate, growth in height is about 10 centimeters (almost 4 inches) per year in the average male. Growth generally remains rapid for several years. Growth and development of muscles occur toward the end of the growth spurt in height. Muscles may continue to develop and gain strength after growth in height is finished. | Dan | ropes | Context:
Two researches studied adolescents during puberty. Tim studied males, while Dan studied females.
Q: Which researcher didn't observe that growth in height is about 10 centimeters (almost 4 inches) per year in the average male? |
- If something is a stage in a process then that something is required for that process
- The formation of metamorphic rock is a sequential process, with stages of rock being compacted, heated, recrystallized
- So, recrystallization is required for the process of the formation of metamorphic rock
- Recrystallization is a kind of event
- If an event is required for a process then that event must occur before that process can occur
- Hence, if recrystallization is required for a process then recrystalization must occur before that process can occur
- Recrystallization is required for the process of the formation of metamorphic rock
- If recrystallization is required for a process then recrystalization must occur before that process can occur
- So, recrystallization must occur for the formation of metamorphic rock to occur
- If something changes to something else then that something else is formed from that something
- Exposure to extreme heat and pressure changes / metamorphoses sedimentary / igneous rock into metamorphic rock
- So, metamorphic rock is formed from sedimentary rock
- Metamorphic rock is formed from sedimentary rock
- Sedimentary rock is made of sediment
- Hence, metamorphic rock is formed from sediment
- Recrystallization must occur for the formation of metamorphic rock to occur
- Metamorphic rock is formed from sediment
- Therefore, recrystallization must occur for sediments to form metamorphic rock
- Recrystallization must occur for sediments to form metamorphic rock
- Formation in the rock cycle means an old class of rocks changes into a new class of rocks
- Hence, recrystallization must occur for sediments to form a new rock
So, recrystallization must occur for sediments to form a new rock | recrystallization | entailment_bank | Question
Which of these must occur for sediments to form new rock?
Context
- If something is a stage in a process then that something is required for that process
- Sedimentary rock is made of sediment
- If something changes to something else then that something else is formed from that something
- Exposure to extreme heat and pressure changes / metamorphoses sedimentary / igneous rock into metamorphic rock
- The formation of metamorphic rock is a sequential process, with stages of rock being compacted, heated, recrystallized
- Recrystallization is a kind of event
- If an event is required for a process then that event must occur before that process can occur
- Formation in the rock cycle means an old class of rocks changes into a new class of rocks |
Heaven is not a place in this world so people cannot travel there. | a | senmaking | One of the following sentences is nonsensical. Which one is it?
a) "jenny travelled to heaven during the national day holiday"
b) "jenny travelled to america during the national day holiday" |
Women and animals can look at people and things. A person can look at someone without watching them. A person might be looking at something in the barbershop beside people getting their hair cut.
| I don't know | esnli | Context: Looking through the window of an Asian barber shop while a few customers have their haircut.
Hypothesis: A man is watching people get their haircut
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A man leaning against a vehicle parked next to a fire hydrant would have to be already standing near a fire hydrant.
| Yes | esnli | Context: a man leaning against a vehicle parked next to a fire hydrant.
Hypothesis: A man is standing near a fire hydrant.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
A dog is an animal, and a triangular structure is a type of structure so a dog on top of a triangular structure is also an animal on top to a structure.
| No | esnli | Consider the statement "A brown dog is on top of a triangular structure.". Is the statement "An animal is ontop of a structure." false? Yes/no/unknown |
Just because the chef has a spoon full of soup doesn't mean he is smelling the aromas. Just because the soup is newly concocted doesn't mean it is his new soup recipe.
| Unknown | esnli | Given the statement "A chef wearing white and black (and a white chef hat) lifting a spoon full of his newly concocted soup from a large stainless steel pot.", is the statement "Chef smelling the aromas of a new soup recipe he created." wrong?
- Yes
- No
- Unknown |
The further objects are away from each other, the smaller the gravitational force. | a | quartz | Andy put two magnets at the end of the table, Karen put two magnets right next to each other. Whose magnets had a lesser gravitational force?
a. Andy
b. Karen |
Just because people are climbing the rock face does not mean they are going to the top of the mountain or trying to meet a friend.
| Unknown | esnli | Given the statement "People are climbing a rock face.", what is the statement "people are trying to get to the top of the mountain to meet a friend" true?
- Yes
- No
- Unknown |
The man can be older gentleman and he tending to his net means he is outdoors aspiring to reach home.
| Yes | esnli | Given the statement "An older gentleman tends to his net.", is the statement "The man is outdoors." is true?
- Yes
- No
- I don't know |
Electricity bill amount is directly proportional to power usage. | Yes | feasibilityQA | Context: Jonathan is managing the bill payment for an apartment building. He paid the electricity bill for two months May and June. In month May the apartment had lower electricity bill by usage of 22 watts of power.
Question: "The power usage of month June could be 29 watts." -- Is this statement true? |
Splashing water causes water to rise and create wetness, so the woman and girl will get wet when they splash the water.
| Yes | esnli | Context: A woman and a girl splashing in water.
Hypothesis: The woman and girl are wet.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Just because the woman is holding an umbrella does not mean she is shielding herself from the rain.
| Unknown | esnli | Context: "A woman in a yellow jacket holding a red umbrella."
Hypothesis: The woman shields herself from the rain with a red umbrella.
Based on the context, is the hypothesis true, false, or unknown? |
If nobody has anything on their heads, women with baskets on their head would contradict that point.
| Yes | esnli | Consider the statement "African women at work walking around with woven baskets on their head.". Is the statement "Nobody here has anything at all on their heads." false? Yes/no/unknown |
If the dog is black and white, then its fur must be two different colors because the fur is what people are actually describing when they describe a dog's colors.
| Yes | esnli | Context: A black and white dog jumps after a yellow toy.
Hypothesis: A dog has fur that is two different colors
Given this context, is the hypothesis true (Yes/No/I don't know)? |
The girl cannot be jumping and swinging at the same time. She also can't be at a bowling alley and playground at the same time.
| No | esnli | Consider the staetement "A girl in all pink is jumping into the air at a bowling alley.". Based on this statement, is "A girl plays on the swings in the playground." a true statement? Yes/no/unknown |
When people are joining together to meet they will not only choose to attend an aviation exposition
| Unknown | esnli | Context: "A lot of people are attending an aviation exposition."
Hypothesis: People are joining together to meet.
Based on the context, is the hypothesis true, false, or unknown? |
Just because they are girls, it does not mean they are young. Bookbags does not mean they are schoolgirls. Standing on a corner does not mean they are walking or going home.
| Unknown | esnli | Context: "The four Asian girls are standing on a street corner, all with bookbags on their shoulders."
Hypothesis: young schoolgirls walk home from school
Based on the context, is the hypothesis true, false, or unknown? |
The boy read the novel to his blind grandfather loudly. | "the boy read the novel aloud to his blind grandfather" | senmaking | Choose the sentence that goes against common sense.
"the boy read the novel aloud to his blind grandfather"
"the boy read the novel aloud to his deaf grandfather" |
Foods like potatoes, corn and oat are rich in starch, whereas foods like carrots, cabbage and cucumber doesn't contain starch. | No | feasibilityQA | Lincoln has a chemistry practical session, and learned that drops of iodine solution turn blue-black if it is in contact with starch. He accidentally spills some solution on an object that turned blue-black.
Question: Is the following statement plausible?
The object could be mango. |
In order to be high above the buildings changing the advertising on a bulletin board one must be outside.
| Yes | esnli | Consider the staetement "This worker is high above the buildings changing the advertising on a bulletin board.". Based on this statement, is "this worker is working outside" a true statement? Yes/no/unknown |
Since people do not work in space, Jack cannot get to work in a spaceship. | 2 | senmaking | Which of these sentences doesn't make sense?
Options:
1: "jack drives his car to work"
2: "jack takes his spaceship to work" |
Just because sausages are hanging in a supermarket does not mean the cashier is ringing up sausage.
| I don't know | esnli | Context: Sausages hang in a supermarket while a cashier is working.
Hypothesis: A supermarket cashier is ringing up sausage
Given this context, is the hypothesis true (Yes/No/I don't know)? |
$77+9\times (14-1)=194$ | c | TAL-SCQ5K | In the arithmetic sequence: $77$, $86$, $95$, $104$, $\cdots$, the $14$\textsuperscript{th}~term is~\uline{~~~~~~~~~~}~.
a: $$203$$
b: $$181$$
c: $$194$$
d: $$212$$
e: $$185$$ |
A man is someone. positioned between rock surfaces is another way to say stands inside a crevice between two rock faces
| Yes | esnli | Consider the statement "a man wearing a yellow shirt and white hard hat stands inside a crevice between two rock faces.". Based on this "Someone is positioned between rock surfaces." a true statement? Yes, no, or I don't know? |
算式中的分母是裂项计算的最基本形式，但分子比较复杂，我们可以从前几项找找规律： $$\frac{{{1}^{2}}+{{2}^{2}}}{1\times 2}=\frac{5}{2}=2\frac{1}{2}$$，$$\frac{{{2}^{2}}+{{3}^{2}}}{2\times 3}=\frac{13}{6}=2\frac{1}{6}$$，$$\frac{{{3}^{2}}+{{4}^{2}}}{3\times 4}=\frac{25}{12}=2\frac{1}{12}$$． 我们发现一规律：每一项减去$$2$$后，分子就变成了$$1$$． 再来试试最后一项：$$\frac{{{19}^{2}}+{{20}^{2}}}{19\times 20}=\frac{761}{380}=2\frac{1}{380}$$， 也满足这个规律，这是为什么呢？ 观察每一项的分子和分母，我们发现分子的每个加数都与分母大小接近，可以做如下变形： $$\frac{{{19}^{2}}+{{20}^{2}}}{19\times 20}=\frac{19\times \left( 20-1 \right)+20\times \left( 19+1 \right)}{19\times 20}$$ $$=\frac{19\times 20\times 2+\left( 20-19 \right)}{19\times 20}$$ $$=2+\frac{1}{19\times 20}$$． 算式中的每一项都能像上面一样进行变形，所以： 原式$$=2\frac{1}{1\times 2}+2\frac{1}{2\times 3}+\cdots +2\frac{1}{19\times 20}$$ $$=2\times 19+\frac{1}{1\times 2}+\frac{1}{2\times 3}+\cdots +\frac{1}{19\times 20}$$ $$=38+1-\frac{1}{20}$$ $$=38\frac{19}{20}$$． | [A] | TAL-SCQ5K | 【补4】 计算：$$\frac{{{1}^{2}}+{{2}^{2}}}{1\times 2}+\frac{{{2}^{2}}+{{3}^{2}}}{2\times 3}+\cdots +\frac{{{18}^{2}}+{{19}^{2}}}{18\times 19}+\frac{{{19}^{2}}+{{20}^{2}}}{19\times 20}$$．
Options:
[A] $$38\frac{19}{20}$$
[B] $$38\frac{17}{20}$$
[C] $$38\frac{13}{20}$$
[D] $$38\frac{1}{20}$$ |
A blond woman is a type of lady. Someone who is looking in a mirror is watching herself. Face paint is applied to the face.
| True | esnli | Context: "A blond woman, who is sitting outside in the grass, is applying face paint and looking in a mirror."
Hypothesis: A lady watches herself as she applies something to her face.
Based on the context, is the hypothesis true, false, or unknown? |
A person who is reading his cellphone is not reading a paperback. Holding a drink is a different action than actually drinking a martini.
| False | esnli | Context: "A man wearing glasses is reading his cellphone and holding a drink in the other hand."
Hypothesis: A guy is reading a paperback and drinking a martini.
Based on the context, is the hypothesis true, false, or unknown? |
Horse and rider are mentioned twice, so it is implied that there are two horses with men on them, since rider can mean man as well
| No | esnli | Consider the statement "The horse with the rider in blue has number 3 on it, and the horse with the rider wearing green has the number 7 on it.". Is the statement "Two horses with men on them." false? Yes/no/unknown |
The idea that a young man is riding a skateboard on top of a ramp, supports the idea that a young man is riding a skateboard on the top of the ramp.
| Yes | esnli | Context: A young man rides a yellow and black skateboard at the top of a ramp.
Hypothesis: A man rides a skateboard at the top of a ramp.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
In nature, when the population size is small, there is usually plenty of food and other resources for each individual. When there is plenty of food and other resources, organisms can easily reproduce, so the birth rate is high. As the population increases, the food supply, or the supply of another necessary resource, may decrease. When necessary resources, such as food, decrease, some individuals will die. Overall, the population cannot reproduce at the same rate, so the birth rates drop. This will cause the population growth rate to decrease. | Less | ropes | Context:
John is studying a species in two similar countries, country A and country B. Country A has large population, but country B has small population of that species. John is pondering about how this species would fare in the future in these two countries.
Q: Would the species in country A have less or more food than country B's species? |
The woman can't be holding the bird while in a flowering tree if the tree has fallen on the bird and there is no indication that the woman is the owner of the bird.
| Yes | esnli | Given the statement "A woman is holding a bird while sitting in a flowering tree.", is the statement "the tree has fallen on a bird while sad owner looks concerned" wrong?
- Yes
- No
- Unknown |
Speed of the boat in still water = (100+130)/2 = 115 kmph. Speed of the stream = (100-130)/2 = 15 kmph | 4 | aqua | The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 130 kmph. Find the speed of the boat in still water and the speed of the stream?
1: 170, 10 kmph
2: 35, 27 kmph
3: 50, 60 kmph
4: 115, 15 kmph
5: 45, 65 kmph |
Just because clown is trying to launch balloon in the air doesn't make sense that clown is wearing red hat and assortment of colors.
| Unknown | esnli | Consider the staetement "A colorful clown dressed in a red hat, an assortment of colors with the ruffles and fingerless gloves with a blue whistle and a masquerade mask is manipulating a balloon to create a shape.". Based on this statement, is "A clown trying to launch balloon in to the air." a true statement? Yes/no/unknown |
Higher frequency waves have greater energy. | a | quartz | A wave with a high frequency has _____ energy than a wave with a low frequency.
a) more
b) less |
One can either be walking toward s shopping area or be near a store. There can be either a woman and a man or a woman and a child.
| False | esnli | Context: "A woman in a long black burqa walks toward a shopping area while a short-haired man with a beard walks beside her." Claim: "a woman and child pick up sticks near a store"
Considering the context, is the claim true, false, or unknown? |
Sentence 1 says a man has a cellphone, or phone, and is walking; walking can be described as being on foot.
| Yes | esnli | Given the statement "A man using a cellphone is walking past a sign.", what is the statement "A man on foot has a phone." true?
- Yes
- No
- Unknown |
Just because the soldiers are in line, does not mean they are hungry and also does not mean they haven't eaten all day.
| Unknown | esnli | Context: Two soldiers wearing camouflage are getting food from a woman in white as two people in white stand behind a counter watching.
Hypothesis: The soldiers are very hungry and haven't eaten all day.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
It can't be inferred that she's playing softball. She could be playing a different sport that involves swinging at a ball, like baseball.
| Unknown | esnli | Context: "An athletic girl in an orange uniform is on a playing field of green grass and swinging at a ball."
Hypothesis: There is a softball game being played.
Based on the context, is the hypothesis true, false, or unknown? |
Canada is a constitutional monarchy. The head of the monarchy that rules Canada is Queen Elizabeth. | Yes | strategyqa | Does Canada have a relationship with a monarch? |
Firefighters climbing past a tree does not indicate they are climbing to put out a fire on a tall building
| Unknown | esnli | Context: "Firefighters climbing past a tree." Claim: "Firefighters are climbing to put out a fire on a tall building"
Considering the context, is the claim true, false, or unknown? |
Summer clothing does not necessarily mean light clothing depending on the climate. Walking does not require that you do it briskly. There are multiple mediums for listening to music other than headphones.
| Unknown | esnli | Context: "A young lady in summer clothing walking and listening to music." Claim: "A woman in light clothing walks briskly with headphones."
Considering the context, is the claim true, false, or unknown? |
When a well is overused, it runs out of water and is dry. | No | FLUTE | Consider the statement "I'm dry .". Is the statement "I'm like an overused well ." false? Yes/no/unknown |
设这三个正方体的棱长分别为$$a,b,c$$，则有$$6({{a}^{2}}+{{b}^{2}}+{{c}^{2}})=564$$，$${{a}^{2}}+{{b}^{2}}+{{c}^{2}}=94$$， 不妨设$$1\leqslant a\leqslant b\leqslant c\textless{}10$$，从而$$3{{c}^{2}}\geqslant {{a}^{2}}+{{b}^{2}}+{{c}^{2}}=94$$，$${{c}^{2}}\textgreater31$$， 故$$6\leqslant c\leqslant 10$$．$$c$$只能取$$9$$，$$8$$，$$7$$，$$6$$， 若$$c=9$$，则$${{a}^{2}}+{{b}^{2}}=94-{{9}^{2}}=13$$，易知$$a=2$$，$$b=3$$，得一组解$$(a,b,c)=(2,3,9)$$， 若$$c=8$$，则$${{a}^{2}}+{{b}^{2}}=94-64=30$$，$$b\leqslant 5$$，但$$2{{b}^{2}}\geqslant 30$$，$$b\geqslant 4$$，从而$$b=4$$或$$5$$， 若$$b=5$$，则$${{a}^{2}}=5$$无解，若$$b=4$$，则$${{a}^{2}}=14$$无解，此时无解， 若$$c=7$$，则$${{a}^{2}}+{{b}^{2}}=94-49=45$$，有唯一解$$a=3$$，$$b=6$$， 若$$c=6$$，则$${{a}^{2}}+{{b}^{2}}=94-36=58$$，此时$$2{{b}^{2}}\geqslant {{a}^{2}}+{{b}^{2}}=58$$，$${{b}^{2}}\geqslant 29$$，故$$b\geqslant 6$$，但$$b\leqslant c=6$$，故$$b=6$$，此时$${{a}^{2}}=58-36=22$$无解， 综上，共有两组解$$\begin{cases}a=2 b=3 c=9 \end{cases}$$或$$\begin{cases}a=3 b=6 c=7 \end{cases}$$， 体积为$${{V}_{1}}={{2}^{3}}+{{3}^{3}}+{{9}^{3}}=764\text{c}{{\text{m}}^{3}}$$或$${{V}_{2}}={{3}^{3}}+{{6}^{3}}+{{7}^{3}}=586\text{c}{{\text{m}}^{3}}$$． 故选$$\text{A}$$． | A | TAL-SCQ5K | 若三个棱长均为整数（单位：$$\text{cm}$$）的正方体的表面积之和为$$564\text{c}{{\text{m}}^{2}}$$，则这三个正方体的体积之和为（~ ~ ）．
A: $$764\text{c}{{\text{m}}^{3}}$$或$$586\text{c}{{\text{m}}^{3}}$$
B: $$764\text{c}{{\text{m}}^{3}}$$
C: $$586\text{c}{{\text{m}}^{3}}$$或$$564\text{c}{{\text{m}}^{3}}$$
D: $$586\text{c}{{\text{m}}^{3}}$$ |
S = 240/16 * 18/5 = 54 kmph | 3 | aqua | A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
1: 22
2: 71
3: 54
4: 77
5: 99 |
Millions of people in the world jog for exercise. For the most part, jogging can be a healthy way to stay fit. However, problems can also develop for those who jog in the heat. Excessive sweating can lead to electrolyte loss that could be life-threatening. Early symptoms of electrolyte deficiency can include nausea, fatugue, and dizziness. If not treated, individuals can experience muscle weakness and increased heart rate (which could lead to a heart attack). Many sports drinks can be consumed to restore electrolytes quickly in the body. | Red | ropes | Context: Two teams of runners took part in a study about exercise. Red team ran 10 km in the heat, while Green team ran the same distance in the morning in cool weather. The Red team experienced more runners with health problems.
Question: Which team had more runners with excessive sweating? |
Someone who is doing a handstand is upside down with both hands on the ground while a person who is eating is generally upright and using one or both hands to eat; the two actions cannot be done by the same person at the same time.
| Yes | esnli | Consider the statement "A child is doing a handstand on a green lawn outside where several people are playing.". Is the statement "A child is eating." false? Yes/no/unknown |
Since $\sqrt{5+n}=7$ and $7=\sqrt{49}$, then $5+n=49$, so $n=44$. | $44$ | competition-math | If $\sqrt{5+n}=7$, then what is the value of $n$? |
Animals like spider, scorpion and tick have 8 legs. | Yes | feasibilityQA | Context: Lucas saw an animal in a cage. The animal was moving around in the cage using its 8 legs.
Question: "The animal could be a spider." -- Is this statement true? |
The fact children are learning a local custom from watching adults does not necessarily mean they are learning to pretend to be dead from adults afraid of bears.
| Unknown | esnli | Context: "Young children are learning a local custom by watching adults, and it appears to involve pretending to be asleep." Claim: "Some children are learning how to pretend to be dead from adults who are afraid of bears."
Considering the context, is the claim true, false, or unknown? |
The woman is wearing light blue shirt, not red. She is resting against a rock, she's not resting on the ground.
| False | esnli | Context: "A woman in a light blue shirt, resting against a rock." Claim: "The woman is in a red shirt resting on the ground."
Considering the context, is the claim true, false, or unknown? |
D = 90 * 5/18 * 5 = 125 m | (a) | aqua | If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
(a) 125 m
(b) 104 m
(c) 140 m
(d) 152 m
(e) 150 m |
The men could be doing laundry in a puddle for other reasons than that they cannot afford to go to the laundromat.
| Unknown | esnli | Context: Four men, one in a long blue robe, looking like they are doing laundry in a muddy pit in a 3rd world country.
Hypothesis: Four poor men are washing their clothes in a dirty puddle because they cannot afford to go to the laundromat.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
There is a man, not just a person sitting on a roof using a tool and nothing indicates this man is huge
| Unknown | esnli | Consider the statement "A man sitting upon a roof is using a tool.". Is the statement "A huge person using a tool" false? Yes/no/unknown |
Flowers need warmer weather and the right amount of moisture to bloom, like in the spring. | (a) | senmaking | Of the following two sentences, which one is against common sense?
(a) "the flowers bloomed in the winter."
(b) "the flowers bloomed in the spring." |
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