euclaise/MiniCoT · Datasets at Hugging Face

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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，再结合分数裂差，所以：原式$$=2\frac{1}{1\times 2}+2\frac{1}{2\times 3}+\cdots +2\frac{1}{19\times 20}$$ $$=2\times 19+\frac{1}{1\times 2}+\frac{1}{2\times 3}+\cdots +\frac{1}{19\times 20}$$ $$=38+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\cdots +\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}$$ $$=38+1-\frac{1}{20}$$ $$=38\frac{19}{20}$$．	3	TAL-SCQ5K	计算：$$\frac{{{1}^{2}}+{{2}^{2}}}{1\times 2}+\frac{{{2}^{2}}+{{3}^{2}}}{2\times 3}+\cdots +\frac{{{18}^{2}}+{{19}^{2}}}{18\times 19}+\frac{{{19}^{2}}+{{20}^{2}}}{19\times 20}$$=~\uline{~~~~~~~~~~}~ 1) $$37\frac{19}{20}$$ 2) $$28\frac{19}{20}$$ 3) $$38\frac{19}{20}$$
Just because the baby is wearing a costume doesn't mean for sure that he or she is going trick or treating because he or she could just as easily be dressed up for a funny photograph or on the way to a costume party.	Unknown	esnli	Context: "A happy baby is wearing an elephant costume" Hypothesis: A baby is going trick or treating. Based on the context, is the hypothesis true, false, or unknown?
One must be an employee of a construction company to be a construction worker and digging implies that one digs a hole.	Yes	esnli	Context: A construction worker is digging in front of a machine. Hypothesis: An employee of a construction company digs a hole in front of a machine. Given this context, is the hypothesis true (Yes/No/I don't know)?
Cell division often causes growth. Mitosis is cell division. Cell mitosis causes growth of an organism.	b	qasc	What causes the growth of a living organism? a: Accumulation of wealth b: Cell mitosis c: Starvation d: Organic compounds e: gene flow f: organic molecules g: Infections h: genetic material
The phrase to be in the crook of someone's neck means to be resting in the space between their neck and shoulder.	No	FLUTE	Given the statement "My head was in the middle of a triangle made by her neck and both her shoulders.", is the statement "My head dwelled in the crook of her neck." wrong? - Yes - No - Unknown
A flashlight requires a source of electricity to produce light. Flashlights and remote controlled cars get their energy from batteries. Cars use electricity.	B	qasc	what do cars use? A) heat energy B) electricity C) wind D) water E) to move people F) oxygen G) sensory neurons H) engines
There is no clarification on what kind of band is performing in the first sentence. The second sentence states that a high school band is performing.	No	esnli	Consider the staetement "A band sings under red lights while a couple dances in the foreground.". Based on this statement, is "A high school band prepares for their first big concert." a true statement? Yes/no/unknown
A human has 2 arms	No	feasibilityQA	Context: In a sports meeting, more than 16 sportsmen were present. All of them given a band for both their hands. Question: "28 bands could have been given in total." -- Is this statement true?
Anemophilous pollen grains are light and non-sticky, so that they can be transported by air currents. They are typically 20–60 micrometres (0.0008–0.0024 in) in diameter, although the pollen grains of Pinus species can be much larger and much less dense. Anemophilous plants possess well-exposed stamens so that the pollens are exposed to wind currents and also have large and feathery stigma to easily trap airborne pollen grains. Pollen from anemophilous plants tends to be smaller and lighter than pollen from entomophilous ones, with very low nutritional value to insects. However, insects sometimes gather pollen from staminate anemophilous flowers at times when higher-protein pollens from entomophilous flowers are scarce. Anemophilous pollens may also be inadvertently captured by bees' electrostatic field. This may explain why, though bees are not observed to visit ragweed flowers, its pollen is often found in honey made during the ragweed floral bloom. Other flowers that are generally anemophilous are observed to be actively worked by bees, with solitary bees often visiting grass flowers, and the larger honeybees and bumblebees frequently gathering pollen from corn tassels and other grains.	Barb	ropes	Two botanists studied different types of plants. Barb studied anemophilous plants, while her friend Faye learned about entomophilous plants. Which botanist learned more about well-exposed stamens?
A dog cannot look at another dog if he is sleeping. The brown dog cannot be investigating his area if he is sleeping.	No	esnli	Consider the staetement "A dog looks warily at the brown dog investigating his area.". Based on this statement, is "two dogs are sleeping" a true statement? Yes/no/unknown
Two girls riding a train, one in a skirt is reading a book, the other in a blue shirt and glasses is looking out the window does not indicate that they are taking the train to school.	Unknown	esnli	Context: "Two girls riding a train, one in a skirt is reading a book, the other in a blue shirt and glasses is looking out the window." Hypothesis: The girls are taking the train to school. Based on the context, is the hypothesis true, false, or unknown?
A white man with carrying hair and a beard with a child on his shoulders. while at the same time wouldnt be There is a child on a man's shoulders.	No	esnli	Context: A white man with carrying hair and a beard with a child on his shoulders. Hypothesis: There is a child on a man's shoulders. Is the hypothesis incorrect? (Yes, no, or unknown)?
Human beings invented agriculture about 10,000 years ago. This provided a bigger, more dependable food supply. It also allowed people to settle down in villages and cities for the first time. Birth rates went up because there was more food and settled life had other advantages. Death rates also rose because of crowded living conditions and diseases that spread from domestic animals. Because the higher birth rates were matched by higher death rates, the human population continued to grow very slowly.	Beta	ropes	Consider the following text: A team of archaeologists studied two human settlements, village Alpha from about 11000 years ago and village Beta, which existed 9000 years ago. Village Beta was bigger, because their inhabitants already knew about and practiced agriculture. Which village had a more dependable food supply?
If the showgirl is holding lipstick in her hand, wearing a feather headdress, and looking in the mirror, then it would be logical to assume that she is preparing herself for a performance.	No	esnli	Context: A showgirl, holding lipstick in her hand, and wearing a feather headdress, looks in a mirror. Hypothesis: The showgirl is preparing herself for a performance. Is the hypothesis incorrect? (Yes, no, or unknown)?
Resistance is inversely proportional to the area of the metalic wire	Yes	feasibilityQA	Victor's experiment is to observe the relationship between resistance and area using two similar wires of different areas. The resistance of the wire with smaller area is 40 units. Question: Is the following statement plausible? Resistance of the other wire could be 32 units.
$(1-\frac12)\times(1-\frac23)=\frac12\times\frac13=\frac16$.	(E)	TAL-SCQ5K	I ate half of an apple pie on Saturday and two thirds of the remainder on Sunday. What fraction of the pie was left for Monday? Options: (A) None (B) $\frac12$ (C) $\frac13$ (D) $\frac23$ (E) $\frac16$
It's often disappointing when somebody comes back from a trip and they forget to bring a gift for someone who had asked them to, especially if that person was looking forward to it	Yes	FLUTE	Consider the statement "I asked my brother to bring me a gift from his trip and he didn't bring anything.". Based on this "I was really looking forward to getting a gift from my brother, but it seems like he totally forgot about me" a true statement? Yes, no, or I don't know?
Cycles of freezing and thawing water cause ice wedging. The processes of weathering, and water or ice wedging may assist in this. Weathering comes from cycles.	7	qasc	What causes ice wedging? 1: Metling snow 2: Condensation 3: The sun 4: friction 5: Gravitational pull 6: mechanical 7: Weathering 8: Animals
Wool yielding animals with thick fur rearing is done to extract wool.	No	feasibilityQA	Rearing an animal that is used to extract wool is the main business of the ranch owner Anthony Question: Is the following statement plausible? The animal could have been a cobra.
Sugaring is a food preservation method similar to pickling. Sugaring is the process of desiccating a food by first dehydrating it, then packing it with pure sugar. This sugar can be crystalline in the form of table or raw sugar, or it can be a high sugar density liquid such as honey, syrup or molasses. The purpose of sugaring is to create an environment hostile to microbial life and prevent food spoilage. Sugaring is commonly used to preserve fruits as well as vegetables such as ginger. From time to time sugaring has also been used for non-food preservations. For example, honey was used as part of the mummification process in some ancient Egyptian rites. A risk in sugaring is that sugar itself attracts moisture. Once a sufficient moisture level is reached, native yeast in the environment will come out of dormancy and begin to ferment the sugars into alcohol and carbon dioxide. This leads to the process of fermentation. Although fermentation can be used as a food preservation method, it must be intentionally controlled, or the results will tend to be unpleasant.	Raspberries	ropes	Context: Peter decided to sugar mangoes, ginger, pineapples, peaches to preserve them for next spring. He also bought blueberries and raspberries to eat fresh. Question: Which fruit had a lower sugar content, ginger or raspberries?
Lambs are known for being very quiet and gentle animals, so here, once he let off the rage he was very quite.	Yes	FLUTE	Consider the statement "After venting his anger he sat down very quietly.". Based on this "After letting off his rage he sat down like a lamb." a true statement? Yes, no, or I don't know?
It's very difficult to land any roles as an actor, let alone large roles, and so someone who has been trying for two years without any success is likely to feel like they've been working very hard with no results	True	FLUTE	Context: "I've been grinding for two years as an aspiring actor and I have yet to land any large roles." Hypothesis: I've been working my ass off for two years as an aspiring actor and I still don't have any large roles Based on the context, is the hypothesis true, false, or unknown?
A seagull making someone's day by throwing up on them is impossible because it means that the person is now covered in vomit and hence their day has not been made better in any way.	No	FLUTE	Consider the statement "I was on my way home from work, and a seagull threw up all over my suit in the middle of the train station". Based on this "I was on my way home from work and a seagull just made my day by throwing up all over me in the middle of the train station." a true statement? Yes, no, or I don't know?
Men can be different from some men and sitting on a log is different from being in black standing on a platform talking	False	esnli	Context: "Some men in black stand on a platform talking." Claim: "Men are sitting on a log" Considering the context, is the claim true, false, or unknown?
Fear of accidents does not equate to feeling confident and in fact, a majority of people would feel scared when driving because the risk of an accident is high.	No	FLUTE	Context: I always get nervous when I drive. Hypothesis: I always feel confident when I'm driving because I'm afraid of accidents Given this context, is the hypothesis true (Yes/No/I don't know)?
A person in rain gear would not also be in snow gear. Sweeping the puddles away is a different action from shoveling snow.	No	esnli	Context: A man in rain gear is sweeping the puddles away on the ground. Hypothesis: A man in snow gear is shovelling snow. Given this context, is the hypothesis true (Yes/No/I don't know)?
Just because the two men are riding together does not mean they are trying to impress each other with rad bike tricks. They could be riding for any different reason.	Unknown	esnli	Given the statement "Men, surrounded by nature, are riding mountain bikes.", is the statement "Men are trying to impress each other with their rad bike tricks, surrounded by nature." wrong? - Yes - No - Unknown
One day work of A and B = 1/6 One day work of B and C = 1/2 One day work of C and A = 1/8 2(A + B + C) = 1/6 + 1/2 + 1/8 2(A + B + C) = 19/24 (A + B + C) = 19/48 Number of days required = 48/19 days.	D	aqua	A and B can do a work in 6 days, B and C in 2 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together? A: 12/24 B: 48/63 C: 45/56 D: 48/19 E: 28/12
Just because people are near an airport window that does not mean they are preparing for a long journey.	I don't know	esnli	Consider the statement "Three people are near an airport window with their luggage". Based on this "The people are preparing for a long journey." a true statement? Yes, no, or I don't know?
The factors of 50 are 1, 2, 5, 10, 25, 50 Therefore, required probability = 6/100 = 3/50.	d	aqua	Find the probability that the number drawn is a factor of 50. a. 1/25 b. 1/50 c. 3/25 d. 3/50 e. 7/50
A man is a person standing on a tiled floor in front of a large arched window means he is near a building	Yes	esnli	Consider the statement "A man standing on a tiled floor in front of a large arched window with a phone to his ear.". Based on this "A person is near a building." a true statement? Yes, no, or I don't know?
There are multiple ways to fix a wall (watching, spackling, etc.) so you cannot infer the worker is hammering.	Unknown	esnli	Context: "A worker in a blue hat is fixing the wall." Claim: "A worker is hammering." Considering the context, is the claim true, false, or unknown?
Young man doesn't imply boy.Just because a man talks to the operator doesn't mean that man is having good time with the operator.	I don't know	esnli	Given the statement "A young man talks to the operator of a prize booth.", is the statement "The boy was having a good time with the person working in the prize booth." is true? - Yes - No - I don't know
Aging occurs as cells lose their ability to divide. Cell damage also occurs during ageing. Cells can be damaged when they lose their ability to divide.	(a)	qasc	cells can be damaged when they lose their ability to what (a) divide (b) retina (c) produce air (d) grow (e) produce enzymes (f) alveoli (g) stay warm (h) breathe
A woman posing for a picture while cooking food does not indicate that there is a women cooking outdoors	Unknown	esnli	Context: "A woman posing for a picture while cooking food." Hypothesis: There is a women cooking outdoors Based on the context, is the hypothesis true, false, or unknown?
Preparing for a race occurs prior to it starting, and riding along a street would imply the race is already occurring.	No	esnli	Given the statement "Bicycle racers, the middle one in white with yellow sunglasses and red shoes, ride along a street, while onlookers watch from behind a barrier.", what is the statement "racers are preparing in a race" true? - Yes - No - Unknown
You can not type programs into a desk.	b	senmaking	Which of the following sentences is nonsensical? a: "we can program on the computer" b: "we can program on the the desk"
公约数，亦称``公因数''．它是指能同时整除几个整数的数．如果一个整数同时是几个整数的约数，称这个整数为它们的``公约数''；公因数中最大的称为最大公因数． $$264$$和$$528$$的最大公因数为$$264$$； $$264$$和$$660$$的最大公因数为$$132$$．故选$$\text{D}$$．	D	TAL-SCQ5K	$$264$$和的最大公因数是$$132$$． A) $$4$$ B) $$66$$ C) $$528$$ D) $$660$$
A carpenter and a tailor are different professions. Measuring and stitching are different forms of work.	False	esnli	Context: "There is a carpenter measuring a board." Claim: "tailor stitches salwar" Considering the context, is the claim true, false, or unknown?
Four boys with a soccer ball play in front of a set of doors as opposed to one boy playing with a baseball near a single door.	No	esnli	Consider the staetement "Four boys playing a game with a soccer ball in front of a large set of ornate doors.". Based on this statement, is "One boy throws a baseball toward the door." a true statement? Yes/no/unknown
The man and woman might be friends or coworkers, and nothing specifically indicates that she is his significant other.	Unknown	esnli	Context: "A man and a woman are embracing each other." Hypothesis: Man hugs his significant other. Based on the context, is the hypothesis true, false, or unknown?
It would be impossible for a man to be skateboarding while pushing 2 children and keeping track of a third one.	No	esnli	Context: A man pushing two children with one running next to him. Hypothesis: A man is skateboarding. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
- An anemometer is a kind of instrument - An anemometer is used to measure wind speed - So, an anemometer is an instrument used to measure wind speed Therefore, an anemometer is an instrument used to measure wind speed	anemometer	entailment_bank	Question: Directions Read the information about wind erosion then answer the question. Wind can cause erosion that changes the surface of the Earth. Wind erosion can have negative effects on the environment by removing soil and polluting the air during dust storms. Walter wanted to find out if faster wind speeds increased the amount of wind erosion. Which instrument should he use to measure wind speed? Context: - An anemometer is a kind of instrument - An anemometer is used to measure wind speed
If the soccer players are playing a game, then they are not high fiving after a game because the game is still going on.	Yes	esnli	Context: two trams of soccer players playing a game on the field Hypothesis: Two soccer teams are high fiving after a game. Is the hypothesis incorrect? (Yes, no, or unknown)?
People do not have to be gathering to be in one space, and they can gather for reasons other than a performance.	Unknown	esnli	Context: "A birds-eye view of people standing around holding their drinks." Claim: "People are gathering for a performance." Considering the context, is the claim true, false, or unknown?
Candied fruit, also known as crystallized fruit or glacé fruit, has existed since the 14th century. Whole fruit, smaller pieces of fruit, or pieces of peel, are placed in heated sugar syrup, which absorbs the moisture from within the fruit and eventually preserves it. Depending on size and type of fruit, this process of preservation can take from several days to several months.[1] This process allows the fruit to retain its quality for a year.[2] The continual process of drenching the fruit in syrup causes the fruit to become saturated with sugar, preventing the growth of spoilage microorganisms due to the unfavourable osmotic pressure this creates.[3]	Not gone through heated sugar syrup	ropes	Context: John enrolled in a prestigious culinary school. In the very first day his instructor was showing different processes used on fruits. One of them was glace fruit. He showed the class how to prepare glace fruit and kept some of the glace fruits on bowl A. To compare glace fruits with non glace fruits he kept some non glace fruits on bowl B. Q: Had bowl B fruits gone through heated sugar syrup or not gone through heated sugar syrup?
The two children cannot be playing video games while also competing to get a ball in a game. It has to be one thing or another.	False	esnli	Context: "two children, one wearing blue, the other wearing red, competing to get a ball in a game." Claim: "The two children are playing video games." Considering the context, is the claim true, false, or unknown?
The total of seven numbers = 7X22 = 154 The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99 So, the middle number is (154 - 99 ) = 55	[B]	aqua	The average of seven numbers is 22. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number? Options: [A] 27 [B] 55 [C] 31 [D] 34 [E] 35
If fighters are boxing against each other, it is highly unlikely that they are going to get dinner after the match.	Yes	esnli	Consider the statement "Two male UFC fighters are boxing against each other in a ring.". Is the statement "The male fighters are going to get dinner after the match." false? Yes/no/unknown
You can not drive to the North Pole from China.	"i drove from china to the north pole"	senmaking	Of the below sentences, which one does not make sense? "i drove from china to russia" "i drove from china to the north pole"
Chess is a game and is not edible.	b	senmaking	Pick which sentence is not logical. a. "he played chess" b. "he ate chess"
A girl can be standing on a blanket for any number of reasons. Also, just because she is waiting, it doesn't mean it is for her parents.	Unknown	esnli	Context: "A little girl is standing outside on a blanket." Hypothesis: The girl is waiting for her parents. Based on the context, is the hypothesis true, false, or unknown?
Having a helmet on and jumping does not necessarily indicate bungee jumping or it being the first time the person has done it.	Unknown	esnli	Consider the staetement "A woman with a red helmet on is jumping.". Based on this statement, is "The woman is jumping off a platform to try bungee jumping for the first time." a true statement? Yes/no/unknown
A coin has monetary value, not a timepiece.	(b)	senmaking	One of the following sentences is nonsensical. Which one is it? (a) "a coin is a form of exchange for material goods" (b) "a coin is a form of exchange for time"
You cannot be drinking from a cup while simultaneously raking leaves. As well, if the man looks at a computer, it is unlikely that he washes the dishes at the same time.	Yes	esnli	Given the statement "A woman sitting and drinking from a cup, while a man in the background looks at a laptop computer.", is the statement "A woman raking leaves while a man washes dishes." wrong? - Yes - No - Unknown
People in costumes are not always hired performers. People in costumes are not necessarily entertaining children.	I don't know	esnli	Consider the statement "Many people in costumes are smiling at a party.". Based on this "Hired performers in costume are entertaining children at a party." a true statement? Yes, no, or I don't know?
It is not necessary that all the dogs know how to doggie-paddles and also swimming pool does not necessarily means there is water inside. It can be empty too.	I don't know	esnli	Consider the statement "A dog in a swimming pool and another dog on the edge of the pool.". Based on this "A dog doggie-paddles in the water." a true statement? Yes, no, or I don't know?
The second sentence is related to the first sentence because it's almost exactly the same except the first sentence is getting off the bus and the second sentence is getting of the bus, which doesn't make sense, actually.	No	esnli	Given the statement "Two men are getting off the bus.", is the statement "Two men are getting of the bus" wrong? - Yes - No - Unknown
New farm machines were invented. They increased the amount of food that could be produced. With more food, people were healthier and could live longer.	b	quartz	A village is gathering food for the winter. The less food they gather the likelihood of survival being high is a) great b) small
A box of beads being spilled implies that the beads are going everywhere chaotically, so a mind being like that would be chaotic and not clear	No	FLUTE	Given the statement "Valentinos mind was clear", what is the statement "Valentinos mind was like a spilled box of beads bouncing in every direction." true? - Yes - No - Unknown
During May, June, and July, the Northern Hemisphere is exposed to more direct sunlight because the hemisphere faces the Sun. The same is true of the Southern Hemisphere in November, December, and January. It is Earth's axial tilt that causes the Sun to be higher in the sky during the summer months, which increases the solar flux. However, due to seasonal lag, June, July, and August are the warmest months in the Northern Hemisphere while December, January, and February are the warmest months in the Southern Hemisphere.	Southern	ropes	Context: Bill has a friend that lives in New Zealand and he always gets confused about the weather and the seasons when they chat, because the Southern Hemisphere has different seasons than people from the Northern Hemisphere. Q: Which hemisphere is exposed to less direct sunlight in June?
The only way for the sum to be a 14 is for her coin flip to be a 10 and for her roll to be a 4. This can only occur in $\frac{1}{2} \cdot \frac{1}{6} = \frac{1{12}}$.	$\frac{1$	competition-math	Erika, who is 14 years old, flips a fair coin whose sides are labeled 10 and 20, and then she adds the number on the top of the flipped coin to the number she rolls on a standard die. What is the probability that the sum equals her age in years? Express your answer as a common fraction.
Just because the woman is wearing a graduation robe doesn't mean that she necessarily just graduated high school.	Unknown	esnli	Given the statement "A woman in a black graduation robe is standing in a crowd.", what is the statement "The woman just graduated high school" true? - Yes - No - Unknown
Although they are next to a clothes rack, it does not imply they are looking through the rack or that they are in a department store.	Unknown	esnli	Context: a woman and a man next to a clothes rack Hypothesis: Two people are looking through a rack of clothes in a department store together. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
The fact that an amateur band practices inside a garage doesn't imply that the garage is with the door open and the lights off.	Unknown	esnli	Context: An amateur band practices inside a garage. Hypothesis: An amateur band practices inside a garage with the door open and the lights off. Is the hypothesis incorrect? (Yes, no, or unknown)?
Seeing someone smoking can be concerning because it is a major health hazard and can lead to cancer, so someone who feels happy about it is not being rational.	False	FLUTE	Context: "I hate watching my parents smoke, it makes me really sad to think they could face cancer as a concequence " Claim: "I feel so happy every time I see my parents smoking because I know that cancer is a very real possibility for them" Considering the context, is the claim true, false, or unknown?
Just because a smiling blond cheerleader runs with an audience in the background does not indicate that he is performing at halftime of a game.	Unknown	esnli	Context: "A smiling blond cheerleader runs with an audience in the background." Claim: "A cheerleader is performing at halftime of a game." Considering the context, is the claim true, false, or unknown?
People are unlikely to ride in a carriage while eating spaghetti and playing a game at the same time.	No	esnli	Context: Two gentlemen in top hats and a well-dressed lady in a straw hat ride in a green and red carriage pulled by four white horses. Hypothesis: Two men and a lady are eating spaghetti and playing Words with Friends. Given this context, is the hypothesis true (Yes/No/I don't know)?
The two women may not be kneeling in front of the bushes because they are admiring the roses there.	Unknown	esnli	Given the statement "Two separate women, one wearing a white top and black pants, the other wearing all black and a pair of pink flip-flops, kneel on a gray brick sidewalk path in front of green and red bushes.", what is the statement "Two women admire the roses planted along the sidewalk path." true? - Yes - No - Unknown
Answer :The fact that the people are reading a small brochure does not necessarily imply that they are on a college tour	Unknown	esnli	Context: People reading over a small brochure. Hypothesis: A group of people are on a college tour looking at the brochures. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
In the first sentence four men are riding on the back of the John Deere and a woman sits at the wheel. In the second sentence there is a man driving the John Deere.	False	esnli	Context: "Four men in fatigues ride across a dry field on the back of a John Deere Gator while a woman sits at the wheel." Claim: "There is a man driving the John Deere." Considering the context, is the claim true, false, or unknown?
每取出$$1$$个，盒中就增加$$6$$个，有$$7+6n=2017$$，∴$$n=335$$．而$$\rm A$$中，$$7+6n=2018$$，$$\rm C$$中$$7+6n=2016$$，$$\text{D}$$中$$7+6n=2015$$，$$n$$都不为整数．	b	TAL-SCQ5K	盒子中原来有$$7$$个小球，魔术师从中任取几个小球，把每一个小球都变成$$7$$个小球放回盒中；他又从中任取一些小球，把每一个小球又都变成$$7$$个小球放回盒中；如此进行，到某一时刻魔术师停止取球变魔术，此时盒中球的总数可能是（~ ）． a. $$2018$$~~~~~~ b. $$2017$$~~~~~~ c. $$2016$$~~~~~~ d. $$2015$$~~~~~~
Three people cooking at the same time does not mean it is Thanksgiving. Just like it does not mean it would be dinner as it could be breakfast or lunch.	Unknown	esnli	Context: Two men and one women are standing in front of a stove cooking. Hypothesis: Three people are cooking Thanksgiving dinner. Is the hypothesis incorrect? (Yes, no, or unknown)?
You cannot be walking and sleeping at the same time . also 3 people does not mean guy and girl only	False	esnli	Context: "Three people walking down a street together." Hypothesis: A guy and girl are asleep on the couch. Based on the context, is the hypothesis true, false, or unknown?
The three friends are in the array of water fountains, nothing was said about them trying to stay cool.	Unknown	esnli	Given the statement "Three kids stand in an array of water fountains.", is the statement "Three friends are trying to stay cool for summer." wrong? - Yes - No - Unknown
Most invertebrates have a nervous system. Jellyfish and insects are invertebrates. Jellyfish have a nervous system.	Jellyfish	qasc	What has a nervous system? Options: * Plaster * animals * fur seals * elephants * chickens * Rocks * Oxygen * Jellyfish
25 + 15 + 55 = 95% 100 - 95 = 5% to all others	[D]	aqua	If a company allocates 25 percent of its budget to advertising, 15 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations? [A] 4/5 [B] 3/5 [C] 3/10 [D] 1/20 [E] 1/40
We are not told as to which woman is tall or who is wearing a blouse. We can't just imply what it going on.	Unknown	esnli	Given the statement "A young woman in a black blouse, blue jeans, and sandals is standing behind another young woman who is seated with a red poncho draped around her as the first young lady cuts her hair.", is the statement "A tall woman in a blouse." wrong? - Yes - No - Unknown
Sentence 2 has nothing that is consistent with sentence 1 except that the subject is a woman. The idea that a person could be inferred to be self-identifying as a farm animal or that a painting of a cow is necessarily a work of art is offensive. There is zero inference from sentence 1 in sentence 2.	Unknown	esnli	Context: A woman is standing in front of a painting of a cow. Hypothesis: A woman sees herself in a piece of art. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
The slippers are $50.00 and currently 10% off so that’s 50.10 = $5.00 discount The slippers are $50.00 with a $5.00 discount which makes them 50-5 = $45.00 The embroidery will be $5.50 per shoe, and 2 shoes make a pair so it will cost 5.502 = $11.00 The shoes are on sale for $45.00, the embroidery will be $11.00 and the shipping is $10.00 for a total of 45+11+10 = $66.00	66	gsm8k	Mark wants to order a pair of slippers for his wife with her initials embroidered on top. The slippers are currently $50.00 and are 10% off. The embroidery will be $5.50 per shoe and shipping is a flat rate of $10.00. How much will the slippers cost?
先选择$$1$$、$$3$$、$$5$$、$$7$$、$$9$$、$$11$$、$$13$$、$$15$$，再选择$$4$$、$$12$$、$$16$$，共$$11$$个数．	$$11$$	TAL-SCQ5K	从$$1$$，$$2$$，$$3$$，$$\cdots $$，$$16$$中选出$$m$$个数，若选出的数中，每一个数都不是另一个数的$$2$$倍，则$$m$$的最大值为． * $$8$$ * $$9$$ * $$10$$ * $$11$$
To sign on the dotted line means to agree to something, so by deleting anything related to love, respect, or joy, the speaker is indicating that they will agree to the contract.	True	FLUTE	Context: "Delete anything that has to do with love, respect, or joy, and I'll agree to this contract." Claim: "Delete anything that has to do with love, respect, or joy, and I 'll sign on the dotted line." Considering the context, is the claim true, false, or unknown?
The man is not necessarily a member of a tropical swing band. He is not necessarily getting ready for a concert at a beach front resort.	Unknown	esnli	Consider the statement "An aging man in a green and orange palm tree shirt and straw hat holds a red drum and a drumstick.". Is the statement "A member of a tropical swing band, gets ready for a concert at a beach front resort." false? Yes/no/unknown
Giant animals such as a bear would have to climb a tree, they cannot run up a tree.	(B)	senmaking	One of the following sentences is nonsensical. Which one is it? (A) "the raccoon ran up the tree to hide from the bear" (B) "the bear ran up the tree to hide from the raccoon"
Allergy symptoms can range from mild to severe. Mild symptoms might include itchy eyes, sneezing, and a runny nose. Severe symptoms can cause difficulty breathing, which may be life threatening. Keep in mind that it is the immune system and not the allergen that causes the allergy symptoms. Allergy symptoms can be treated with medications such as antihistamines. Severe allergic reactions may require an injection of the hormone epinephrine. These treatments lessen or counter the immune system’s response.	Group r	ropes	Context: Robert studied two groups of patients. Group O had mild allergy symptoms, while group R displayed severe allergy symptoms. Question: Which group didn't experience a runny nose?
When your brain senses that your body temperature is increasing, it sends messages to the blood vessels in the skin to increase in diameter.	b	quartz	Asa is running in a race and his body temperature decreases. His skin's blood vessels _____ in diameter. a) increase b) decrease
Looking through microscopes can be done for teaching, learning, and other purposes besides research.	I don't know	esnli	Consider the statement "A group on individuals work at a laboratory setting while wearing a white protective gear and looking through microscopes.". Based on this "Scientists are attempting to accomplish research." a true statement? Yes, no, or I don't know?
A man in a black shirt and gray hat gives the thumbs up to a crowd with one hand is not necessarily pumping up the crowd.	I don't know	esnli	Given the statement "A man in a black shirt and gray hat gives the thumbs up to a crowd with one hand, while holding a microphone in the other.", is the statement "a man is pumping up the crowd" is true? - Yes - No - I don't know
The man and woman are wearing hiking gear near the edge of the canyon, so they are hiking on the edge of the canyon.	Yes	esnli	Consider the staetement "A man and a woman, both wearing hiking gear, are standing on the edge of a large canyon.". Based on this statement, is "A man and a woman are hiking on the edge of a large canyon." a true statement? Yes/no/unknown
Not all marathon starts in the morning so there is not any evidence that he is running in morning marathon	Unknown	esnli	Consider the staetement "A young man wearing jogging shorts and a marathon number running on a road past a field on a clear day.". Based on this statement, is "A racer competing in a marathon in the morning." a true statement? Yes/no/unknown
②式$$={{(x-3a)}^{3}}$$， ③式$$=x(b+c-d)+y(b+c-d)-2(b+c-d)$$ $$=(b+c-d)(x+y-2)$$， ④式$$=(m-n)(3m-6n)=3(m-n)(m-2n)$$．所以，②、③、④式合乎要求．故选$$\text{B}$$．	2	TAL-SCQ5K	下列五个多项式： ①$${{a}^{2}}{{b}^{2}}-{{a}^{2}}-{{b}^{2}}-1$$； ②$${{x}^{3}}-9a{{x}^{2}}+27{{a}^{2}}x-27{{a}^{3}}$$； ③$$x(b+c-d)-y(d-b-c)-2c+2d-2b$$； ④$$3m(m-n)+6n(n-m)$$； ⑤$${{(x-2)}^{2}}+4x$$．其中在有理数范围内可以进行因式分解的有． 1) ①，②，③ 2) ②，③，④ 3) ③，④，⑤ 4) ①，②，④
When the temperature of reactants is higher, the rate of the reaction is faster. At higher temperatures, particles of reactants have more energy, so they move faster. They are more likely to bump into one another and to collide with greater force. For example, when you fry an egg, turning up the heat causes the egg to cook faster. The same principle explains why storing food in a cold refrigerator reduces the rate at which food spoils (see Figure below ). Both food frying and food spoiling are chemical reactions that happen faster at higher temperatures.	Paul	ropes	Ned learned about reactions at a higher temperature for his physics class, while Paul had to learn about reactions at lower temperatures. Which person studied about particles of reactants moving slower?
Countries with more industry produce more hazardous wastes than those with little industry.	(2)	quartz	Will lives in England and Tony lives in Ethiopia. Whose country likely produces more hazardous waste? (1) Tony (2) Will
When the temperature of reactants is higher, the rate of the reaction is faster. At higher temperatures, particles of reactants have more energy, so they move faster. As a result, they are more likely to bump into one another and to collide with greater force. For example, food spoils because of chemical reactions, and these reactions occur faster at higher temperatures (see the bread on the left in the Figure below ). This is why we store foods in the refrigerator or freezer (like the bread on the right in the Figure below ). The lower temperature slows the rate of spoilage.	Increase	ropes	Two identical chemical compounds are both in beakers on top of burners in a laboratory. Beaker A is sitting on top of a burner that is set to a low temperature, and Beaker X is on a burner with a high temperature. Ken, the scientist studying these compounds, is closely monitoring the chemicals to see what type of changes occur. If the heat of Beaker A's burner was turned up, would the energy in the particles increase or decrease?
Just because a man rides around the track on his dirt-bike it does not mean he practices for a race. A man does not have to be a professional dirt-bike rider just because he rides a dirt-bike.	Unknown	esnli	Given the statement "A man with a number one on his dirt-bike rides around the track.", what is the statement "A professional dirt-bike rider practices for the race." true? - Yes - No - Unknown
We only know that the men are gathering in the classroom, we cannot know if they will play the instruments in the classroom, or play them elsewhere.	Unknown	esnli	Context: "Musicians gather in a classroom to play guitar and other instruments." Claim: "The group of men play instruments in the classroom" Considering the context, is the claim true, false, or unknown?
You can't assume the man sitting on a boat in the middle of the ocean is fishing or that he is in the Pacific Ocean. He may just be sitting on a boat to get a sun tan and be in the middle of a Lake.	Unknown	esnli	Context: "A man sitting on a boat in the middle of the ocean." Claim: "A man is sitting and fishing in a boat in the middle of the Pacific Ocean." Considering the context, is the claim true, false, or unknown?
The man and woman are not necessarily husband and wife, and they are not necessarily working on their car tire.	Unknown	esnli	Consider the staetement "A man and a woman are working on the wheel of a vehicle.". Based on this statement, is "A husband and wife are working on their car tire" a true statement? Yes/no/unknown
Sentence 1 does not state the age of the woman. Also sentence 1 does not speak about the woman's clothing only her hat.	I don't know	esnli	Context: The blond woman is wearing a black, american flag, tartan cap. Hypothesis: A blonde woman in her 20s is wearing black clothing and a tartan cap with the American flag on it. Given this context, is the hypothesis true (Yes/No/I don't know)?
A mycorrhiza (Greek for "fungus roots") is a symbiotic association between a fungus and the roots of a plant. In a mycorrhizal association, the fungus may colonize the roots of a host plant by either growing directly into the root cells, or by growing around the root cells. This association provides the fungus with relatively constant and direct access to glucose, which the plant produces by photosynthesis. The mycelia of the fungi increase the surface area of the plant’s root system. The larger surface area improves water and mineral nutrient absorption from the soil.	Red	ropes	Two plants of the same type are growing near the outskirts of the Jorah forest. The first plant, colored red, is healthy and has no fungus on it. The other plant, colored black, has a fungus growing on the roots of it. These plants have been around for centuries and if crushed into a powder actually make a nice seasoning to add to a meal. Based on the above, answer the following question: Which color plant is not sharing access to its glucose?

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，再结合分数裂差，所以：原式$$=2\frac{1}{1\times 2}+2\frac{1}{2\times 3}+\cdots +2\frac{1}{19\times 20}$$ $$=2\times 19+\frac{1}{1\times 2}+\frac{1}{2\times 3}+\cdots +\frac{1}{19\times 20}$$ $$=38+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\cdots +\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}$$ $$=38+1-\frac{1}{20}$$ $$=38\frac{19}{20}$$．

3

TAL-SCQ5K

计算：$$\frac{{{1}^{2}}+{{2}^{2}}}{1\times 2}+\frac{{{2}^{2}}+{{3}^{2}}}{2\times 3}+\cdots +\frac{{{18}^{2}}+{{19}^{2}}}{18\times 19}+\frac{{{19}^{2}}+{{20}^{2}}}{19\times 20}$$=~\uline{~~~~~~~~~~}~ 1) $$37\frac{19}{20}$$ 2) $$28\frac{19}{20}$$ 3) $$38\frac{19}{20}$$

Just because the baby is wearing a costume doesn't mean for sure that he or she is going trick or treating because he or she could just as easily be dressed up for a funny photograph or on the way to a costume party.

Unknown

esnli

Context: "A happy baby is wearing an elephant costume" Hypothesis: A baby is going trick or treating. Based on the context, is the hypothesis true, false, or unknown?

One must be an employee of a construction company to be a construction worker and digging implies that one digs a hole.

Yes

esnli

Context: A construction worker is digging in front of a machine. Hypothesis: An employee of a construction company digs a hole in front of a machine. Given this context, is the hypothesis true (Yes/No/I don't know)?

Cell division often causes growth. Mitosis is cell division. Cell mitosis causes growth of an organism.

b

qasc

What causes the growth of a living organism? a: Accumulation of wealth b: Cell mitosis c: Starvation d: Organic compounds e: gene flow f: organic molecules g: Infections h: genetic material

The phrase to be in the crook of someone's neck means to be resting in the space between their neck and shoulder.

No

FLUTE

Given the statement "My head was in the middle of a triangle made by her neck and both her shoulders.", is the statement "My head dwelled in the crook of her neck." wrong? - Yes - No - Unknown

A flashlight requires a source of electricity to produce light. Flashlights and remote controlled cars get their energy from batteries. Cars use electricity.

B

qasc

what do cars use? A) heat energy B) electricity C) wind D) water E) to move people F) oxygen G) sensory neurons H) engines

There is no clarification on what kind of band is performing in the first sentence. The second sentence states that a high school band is performing.

No

esnli

Consider the staetement "A band sings under red lights while a couple dances in the foreground.". Based on this statement, is "A high school band prepares for their first big concert." a true statement? Yes/no/unknown

A human has 2 arms

No

feasibilityQA

Context: In a sports meeting, more than 16 sportsmen were present. All of them given a band for both their hands. Question: "28 bands could have been given in total." -- Is this statement true?

Anemophilous pollen grains are light and non-sticky, so that they can be transported by air currents. They are typically 20–60 micrometres (0.0008–0.0024 in) in diameter, although the pollen grains of Pinus species can be much larger and much less dense. Anemophilous plants possess well-exposed stamens so that the pollens are exposed to wind currents and also have large and feathery stigma to easily trap airborne pollen grains. Pollen from anemophilous plants tends to be smaller and lighter than pollen from entomophilous ones, with very low nutritional value to insects. However, insects sometimes gather pollen from staminate anemophilous flowers at times when higher-protein pollens from entomophilous flowers are scarce. Anemophilous pollens may also be inadvertently captured by bees' electrostatic field. This may explain why, though bees are not observed to visit ragweed flowers, its pollen is often found in honey made during the ragweed floral bloom. Other flowers that are generally anemophilous are observed to be actively worked by bees, with solitary bees often visiting grass flowers, and the larger honeybees and bumblebees frequently gathering pollen from corn tassels and other grains.

Barb

ropes

Two botanists studied different types of plants. Barb studied anemophilous plants, while her friend Faye learned about entomophilous plants. Which botanist learned more about well-exposed stamens?

A dog cannot look at another dog if he is sleeping. The brown dog cannot be investigating his area if he is sleeping.

No

esnli

Consider the staetement "A dog looks warily at the brown dog investigating his area.". Based on this statement, is "two dogs are sleeping" a true statement? Yes/no/unknown

Two girls riding a train, one in a skirt is reading a book, the other in a blue shirt and glasses is looking out the window does not indicate that they are taking the train to school.

Unknown

esnli

Context: "Two girls riding a train, one in a skirt is reading a book, the other in a blue shirt and glasses is looking out the window." Hypothesis: The girls are taking the train to school. Based on the context, is the hypothesis true, false, or unknown?

A white man with carrying hair and a beard with a child on his shoulders. while at the same time wouldnt be There is a child on a man's shoulders.

No

esnli

Context: A white man with carrying hair and a beard with a child on his shoulders. Hypothesis: There is a child on a man's shoulders. Is the hypothesis incorrect? (Yes, no, or unknown)?

Human beings invented agriculture about 10,000 years ago. This provided a bigger, more dependable food supply. It also allowed people to settle down in villages and cities for the first time. Birth rates went up because there was more food and settled life had other advantages. Death rates also rose because of crowded living conditions and diseases that spread from domestic animals. Because the higher birth rates were matched by higher death rates, the human population continued to grow very slowly.

Beta

ropes

Consider the following text: A team of archaeologists studied two human settlements, village Alpha from about 11000 years ago and village Beta, which existed 9000 years ago. Village Beta was bigger, because their inhabitants already knew about and practiced agriculture. Which village had a more dependable food supply?

If the showgirl is holding lipstick in her hand, wearing a feather headdress, and looking in the mirror, then it would be logical to assume that she is preparing herself for a performance.

No

esnli

Context: A showgirl, holding lipstick in her hand, and wearing a feather headdress, looks in a mirror. Hypothesis: The showgirl is preparing herself for a performance. Is the hypothesis incorrect? (Yes, no, or unknown)?

Resistance is inversely proportional to the area of the metalic wire

Yes

feasibilityQA

Victor's experiment is to observe the relationship between resistance and area using two similar wires of different areas. The resistance of the wire with smaller area is 40 units. Question: Is the following statement plausible? Resistance of the other wire could be 32 units.

$(1-\frac12)\times(1-\frac23)=\frac12\times\frac13=\frac16$.

(E)

TAL-SCQ5K

I ate half of an apple pie on Saturday and two thirds of the remainder on Sunday. What fraction of the pie was left for Monday? Options: (A) None (B) $\frac12$ (C) $\frac13$ (D) $\frac23$ (E) $\frac16$

It's often disappointing when somebody comes back from a trip and they forget to bring a gift for someone who had asked them to, especially if that person was looking forward to it

Yes

FLUTE

Consider the statement "I asked my brother to bring me a gift from his trip and he didn't bring anything.". Based on this "I was really looking forward to getting a gift from my brother, but it seems like he totally forgot about me" a true statement? Yes, no, or I don't know?

Cycles of freezing and thawing water cause ice wedging. The processes of weathering, and water or ice wedging may assist in this. Weathering comes from cycles.

7

qasc

What causes ice wedging? 1: Metling snow 2: Condensation 3: The sun 4: friction 5: Gravitational pull 6: mechanical 7: Weathering 8: Animals

Wool yielding animals with thick fur rearing is done to extract wool.

No

feasibilityQA

Rearing an animal that is used to extract wool is the main business of the ranch owner Anthony Question: Is the following statement plausible? The animal could have been a cobra.

Sugaring is a food preservation method similar to pickling. Sugaring is the process of desiccating a food by first dehydrating it, then packing it with pure sugar. This sugar can be crystalline in the form of table or raw sugar, or it can be a high sugar density liquid such as honey, syrup or molasses. The purpose of sugaring is to create an environment hostile to microbial life and prevent food spoilage. Sugaring is commonly used to preserve fruits as well as vegetables such as ginger. From time to time sugaring has also been used for non-food preservations. For example, honey was used as part of the mummification process in some ancient Egyptian rites. A risk in sugaring is that sugar itself attracts moisture. Once a sufficient moisture level is reached, native yeast in the environment will come out of dormancy and begin to ferment the sugars into alcohol and carbon dioxide. This leads to the process of fermentation. Although fermentation can be used as a food preservation method, it must be intentionally controlled, or the results will tend to be unpleasant.

Raspberries

ropes

Context: Peter decided to sugar mangoes, ginger, pineapples, peaches to preserve them for next spring. He also bought blueberries and raspberries to eat fresh. Question: Which fruit had a lower sugar content, ginger or raspberries?

Lambs are known for being very quiet and gentle animals, so here, once he let off the rage he was very quite.

Yes

FLUTE

Consider the statement "After venting his anger he sat down very quietly.". Based on this "After letting off his rage he sat down like a lamb." a true statement? Yes, no, or I don't know?

It's very difficult to land any roles as an actor, let alone large roles, and so someone who has been trying for two years without any success is likely to feel like they've been working very hard with no results

True

FLUTE

Context: "I've been grinding for two years as an aspiring actor and I have yet to land any large roles." Hypothesis: I've been working my ass off for two years as an aspiring actor and I still don't have any large roles Based on the context, is the hypothesis true, false, or unknown?

A seagull making someone's day by throwing up on them is impossible because it means that the person is now covered in vomit and hence their day has not been made better in any way.

No

FLUTE

Consider the statement "I was on my way home from work, and a seagull threw up all over my suit in the middle of the train station". Based on this "I was on my way home from work and a seagull just made my day by throwing up all over me in the middle of the train station." a true statement? Yes, no, or I don't know?

Men can be different from some men and sitting on a log is different from being in black standing on a platform talking

False

esnli

Context: "Some men in black stand on a platform talking." Claim: "Men are sitting on a log" Considering the context, is the claim true, false, or unknown?

Fear of accidents does not equate to feeling confident and in fact, a majority of people would feel scared when driving because the risk of an accident is high.

No

FLUTE

Context: I always get nervous when I drive. Hypothesis: I always feel confident when I'm driving because I'm afraid of accidents Given this context, is the hypothesis true (Yes/No/I don't know)?

A person in rain gear would not also be in snow gear. Sweeping the puddles away is a different action from shoveling snow.

No

esnli

Context: A man in rain gear is sweeping the puddles away on the ground. Hypothesis: A man in snow gear is shovelling snow. Given this context, is the hypothesis true (Yes/No/I don't know)?

Just because the two men are riding together does not mean they are trying to impress each other with rad bike tricks. They could be riding for any different reason.

Unknown

esnli

Given the statement "Men, surrounded by nature, are riding mountain bikes.", is the statement "Men are trying to impress each other with their rad bike tricks, surrounded by nature." wrong? - Yes - No - Unknown

One day work of A and B = 1/6 One day work of B and C = 1/2 One day work of C and A = 1/8 2(A + B + C) = 1/6 + 1/2 + 1/8 2(A + B + C) = 19/24 (A + B + C) = 19/48 Number of days required = 48/19 days.

D

aqua

A and B can do a work in 6 days, B and C in 2 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together? A: 12/24 B: 48/63 C: 45/56 D: 48/19 E: 28/12

Just because people are near an airport window that does not mean they are preparing for a long journey.

I don't know

esnli

Consider the statement "Three people are near an airport window with their luggage". Based on this "The people are preparing for a long journey." a true statement? Yes, no, or I don't know?

The factors of 50 are 1, 2, 5, 10, 25, 50 Therefore, required probability = 6/100 = 3/50.

d

aqua

Find the probability that the number drawn is a factor of 50. a. 1/25 b. 1/50 c. 3/25 d. 3/50 e. 7/50

A man is a person standing on a tiled floor in front of a large arched window means he is near a building

Yes

esnli

Consider the statement "A man standing on a tiled floor in front of a large arched window with a phone to his ear.". Based on this "A person is near a building." a true statement? Yes, no, or I don't know?

There are multiple ways to fix a wall (watching, spackling, etc.) so you cannot infer the worker is hammering.

Unknown

esnli

Context: "A worker in a blue hat is fixing the wall." Claim: "A worker is hammering." Considering the context, is the claim true, false, or unknown?

Young man doesn't imply boy.Just because a man talks to the operator doesn't mean that man is having good time with the operator.

I don't know

esnli

Given the statement "A young man talks to the operator of a prize booth.", is the statement "The boy was having a good time with the person working in the prize booth." is true? - Yes - No - I don't know

Aging occurs as cells lose their ability to divide. Cell damage also occurs during ageing. Cells can be damaged when they lose their ability to divide.

(a)

qasc

cells can be damaged when they lose their ability to what (a) divide (b) retina (c) produce air (d) grow (e) produce enzymes (f) alveoli (g) stay warm (h) breathe

A woman posing for a picture while cooking food does not indicate that there is a women cooking outdoors

Unknown

esnli

Context: "A woman posing for a picture while cooking food." Hypothesis: There is a women cooking outdoors Based on the context, is the hypothesis true, false, or unknown?

Preparing for a race occurs prior to it starting, and riding along a street would imply the race is already occurring.

No

esnli

Given the statement "Bicycle racers, the middle one in white with yellow sunglasses and red shoes, ride along a street, while onlookers watch from behind a barrier.", what is the statement "racers are preparing in a race" true? - Yes - No - Unknown

You can not type programs into a desk.

b

senmaking

Which of the following sentences is nonsensical? a: "we can program on the computer" b: "we can program on the the desk"

公约数，亦称``公因数''．它是指能同时整除几个整数的数．如果一个整数同时是几个整数的约数，称这个整数为它们的``公约数''；公因数中最大的称为最大公因数． $$264$$和$$528$$的最大公因数为$$264$$； $$264$$和$$660$$的最大公因数为$$132$$．故选$$\text{D}$$．

D

TAL-SCQ5K

$$264$$和的最大公因数是$$132$$． A) $$4$$ B) $$66$$ C) $$528$$ D) $$660$$

A carpenter and a tailor are different professions. Measuring and stitching are different forms of work.

False

esnli

Context: "There is a carpenter measuring a board." Claim: "tailor stitches salwar" Considering the context, is the claim true, false, or unknown?

Four boys with a soccer ball play in front of a set of doors as opposed to one boy playing with a baseball near a single door.

No

esnli

Consider the staetement "Four boys playing a game with a soccer ball in front of a large set of ornate doors.". Based on this statement, is "One boy throws a baseball toward the door." a true statement? Yes/no/unknown

The man and woman might be friends or coworkers, and nothing specifically indicates that she is his significant other.

Unknown

esnli

Context: "A man and a woman are embracing each other." Hypothesis: Man hugs his significant other. Based on the context, is the hypothesis true, false, or unknown?

It would be impossible for a man to be skateboarding while pushing 2 children and keeping track of a third one.

No

esnli

Context: A man pushing two children with one running next to him. Hypothesis: A man is skateboarding. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?

- An anemometer is a kind of instrument - An anemometer is used to measure wind speed - So, an anemometer is an instrument used to measure wind speed Therefore, an anemometer is an instrument used to measure wind speed

anemometer

entailment_bank

Question: Directions Read the information about wind erosion then answer the question. Wind can cause erosion that changes the surface of the Earth. Wind erosion can have negative effects on the environment by removing soil and polluting the air during dust storms. Walter wanted to find out if faster wind speeds increased the amount of wind erosion. Which instrument should he use to measure wind speed? Context: - An anemometer is a kind of instrument - An anemometer is used to measure wind speed

If the soccer players are playing a game, then they are not high fiving after a game because the game is still going on.

Yes

esnli

Context: two trams of soccer players playing a game on the field Hypothesis: Two soccer teams are high fiving after a game. Is the hypothesis incorrect? (Yes, no, or unknown)?

People do not have to be gathering to be in one space, and they can gather for reasons other than a performance.

Unknown

esnli

Context: "A birds-eye view of people standing around holding their drinks." Claim: "People are gathering for a performance." Considering the context, is the claim true, false, or unknown?

Candied fruit, also known as crystallized fruit or glacé fruit, has existed since the 14th century. Whole fruit, smaller pieces of fruit, or pieces of peel, are placed in heated sugar syrup, which absorbs the moisture from within the fruit and eventually preserves it. Depending on size and type of fruit, this process of preservation can take from several days to several months.[1] This process allows the fruit to retain its quality for a year.[2] The continual process of drenching the fruit in syrup causes the fruit to become saturated with sugar, preventing the growth of spoilage microorganisms due to the unfavourable osmotic pressure this creates.[3]

Not gone through heated sugar syrup

ropes

Context: John enrolled in a prestigious culinary school. In the very first day his instructor was showing different processes used on fruits. One of them was glace fruit. He showed the class how to prepare glace fruit and kept some of the glace fruits on bowl A. To compare glace fruits with non glace fruits he kept some non glace fruits on bowl B. Q: Had bowl B fruits gone through heated sugar syrup or not gone through heated sugar syrup?

The two children cannot be playing video games while also competing to get a ball in a game. It has to be one thing or another.

False

esnli

Context: "two children, one wearing blue, the other wearing red, competing to get a ball in a game." Claim: "The two children are playing video games." Considering the context, is the claim true, false, or unknown?

The total of seven numbers = 7X22 = 154 The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99 So, the middle number is (154 - 99 ) = 55

[B]

aqua

The average of seven numbers is 22. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number? Options: [A] 27 [B] 55 [C] 31 [D] 34 [E] 35

If fighters are boxing against each other, it is highly unlikely that they are going to get dinner after the match.

Yes

esnli

Consider the statement "Two male UFC fighters are boxing against each other in a ring.". Is the statement "The male fighters are going to get dinner after the match." false? Yes/no/unknown

You can not drive to the North Pole from China.

"i drove from china to the north pole"

senmaking

Of the below sentences, which one does *not* make sense? "i drove from china to russia" "i drove from china to the north pole"

Chess is a game and is not edible.

b

senmaking

Pick which sentence is not logical. a. "he played chess" b. "he ate chess"

A girl can be standing on a blanket for any number of reasons. Also, just because she is waiting, it doesn't mean it is for her parents.

Unknown

esnli

Context: "A little girl is standing outside on a blanket." Hypothesis: The girl is waiting for her parents. Based on the context, is the hypothesis true, false, or unknown?

Having a helmet on and jumping does not necessarily indicate bungee jumping or it being the first time the person has done it.

Unknown

esnli

Consider the staetement "A woman with a red helmet on is jumping.". Based on this statement, is "The woman is jumping off a platform to try bungee jumping for the first time." a true statement? Yes/no/unknown

A coin has monetary value, not a timepiece.

(b)

senmaking

One of the following sentences is nonsensical. Which one is it? (a) "a coin is a form of exchange for material goods" (b) "a coin is a form of exchange for time"

You cannot be drinking from a cup while simultaneously raking leaves. As well, if the man looks at a computer, it is unlikely that he washes the dishes at the same time.

Yes

esnli

Given the statement "A woman sitting and drinking from a cup, while a man in the background looks at a laptop computer.", is the statement "A woman raking leaves while a man washes dishes." wrong? - Yes - No - Unknown

People in costumes are not always hired performers. People in costumes are not necessarily entertaining children.

I don't know

esnli

Consider the statement "Many people in costumes are smiling at a party.". Based on this "Hired performers in costume are entertaining children at a party." a true statement? Yes, no, or I don't know?

It is not necessary that all the dogs know how to doggie-paddles and also swimming pool does not necessarily means there is water inside. It can be empty too.

I don't know

esnli

Consider the statement "A dog in a swimming pool and another dog on the edge of the pool.". Based on this "A dog doggie-paddles in the water." a true statement? Yes, no, or I don't know?

The second sentence is related to the first sentence because it's almost exactly the same except the first sentence is getting off the bus and the second sentence is getting of the bus, which doesn't make sense, actually.

No

esnli

Given the statement "Two men are getting off the bus.", is the statement "Two men are getting of the bus" wrong? - Yes - No - Unknown

New farm machines were invented. They increased the amount of food that could be produced. With more food, people were healthier and could live longer.

b

quartz

A village is gathering food for the winter. The less food they gather the likelihood of survival being high is a) great b) small

A box of beads being spilled implies that the beads are going everywhere chaotically, so a mind being like that would be chaotic and not clear

No

FLUTE

Given the statement "Valentinos mind was clear", what is the statement "Valentinos mind was like a spilled box of beads bouncing in every direction." true? - Yes - No - Unknown

During May, June, and July, the Northern Hemisphere is exposed to more direct sunlight because the hemisphere faces the Sun. The same is true of the Southern Hemisphere in November, December, and January. It is Earth's axial tilt that causes the Sun to be higher in the sky during the summer months, which increases the solar flux. However, due to seasonal lag, June, July, and August are the warmest months in the Northern Hemisphere while December, January, and February are the warmest months in the Southern Hemisphere.

Southern

ropes

Context: Bill has a friend that lives in New Zealand and he always gets confused about the weather and the seasons when they chat, because the Southern Hemisphere has different seasons than people from the Northern Hemisphere. Q: Which hemisphere is exposed to less direct sunlight in June?

The only way for the sum to be a 14 is for her coin flip to be a 10 and for her roll to be a 4. This can only occur in $\frac{1}{2} \cdot \frac{1}{6} = \frac{1{12}}$.

$\frac{1$

competition-math

Erika, who is 14 years old, flips a fair coin whose sides are labeled 10 and 20, and then she adds the number on the top of the flipped coin to the number she rolls on a standard die. What is the probability that the sum equals her age in years? Express your answer as a common fraction.

Just because the woman is wearing a graduation robe doesn't mean that she necessarily just graduated high school.

Unknown

esnli

Given the statement "A woman in a black graduation robe is standing in a crowd.", what is the statement "The woman just graduated high school" true? - Yes - No - Unknown

Although they are next to a clothes rack, it does not imply they are looking through the rack or that they are in a department store.

Unknown

esnli

Context: a woman and a man next to a clothes rack Hypothesis: Two people are looking through a rack of clothes in a department store together. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?

The fact that an amateur band practices inside a garage doesn't imply that the garage is with the door open and the lights off.

Unknown

esnli

Context: An amateur band practices inside a garage. Hypothesis: An amateur band practices inside a garage with the door open and the lights off. Is the hypothesis incorrect? (Yes, no, or unknown)?

Seeing someone smoking can be concerning because it is a major health hazard and can lead to cancer, so someone who feels happy about it is not being rational.

False

FLUTE

Context: "I hate watching my parents smoke, it makes me really sad to think they could face cancer as a concequence " Claim: "I feel so happy every time I see my parents smoking because I know that cancer is a very real possibility for them" Considering the context, is the claim true, false, or unknown?

Just because a smiling blond cheerleader runs with an audience in the background does not indicate that he is performing at halftime of a game.

Unknown

esnli

Context: "A smiling blond cheerleader runs with an audience in the background." Claim: "A cheerleader is performing at halftime of a game." Considering the context, is the claim true, false, or unknown?

People are unlikely to ride in a carriage while eating spaghetti and playing a game at the same time.

No

esnli

Context: Two gentlemen in top hats and a well-dressed lady in a straw hat ride in a green and red carriage pulled by four white horses. Hypothesis: Two men and a lady are eating spaghetti and playing Words with Friends. Given this context, is the hypothesis true (Yes/No/I don't know)?

The two women may not be kneeling in front of the bushes because they are admiring the roses there.

Unknown

esnli

Given the statement "Two separate women, one wearing a white top and black pants, the other wearing all black and a pair of pink flip-flops, kneel on a gray brick sidewalk path in front of green and red bushes.", what is the statement "Two women admire the roses planted along the sidewalk path." true? - Yes - No - Unknown

Answer :The fact that the people are reading a small brochure does not necessarily imply that they are on a college tour

Unknown

esnli

Context: People reading over a small brochure. Hypothesis: A group of people are on a college tour looking at the brochures. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?

In the first sentence four men are riding on the back of the John Deere and a woman sits at the wheel. In the second sentence there is a man driving the John Deere.

False

esnli

Context: "Four men in fatigues ride across a dry field on the back of a John Deere Gator while a woman sits at the wheel." Claim: "There is a man driving the John Deere." Considering the context, is the claim true, false, or unknown?

每取出$$1$$个，盒中就增加$$6$$个，有$$7+6n=2017$$，∴$$n=335$$．而$$\rm A$$中，$$7+6n=2018$$，$$\rm C$$中$$7+6n=2016$$，$$\text{D}$$中$$7+6n=2015$$，$$n$$都不为整数．

b

TAL-SCQ5K

盒子中原来有$$7$$个小球，魔术师从中任取几个小球，把每一个小球都变成$$7$$个小球放回盒中；他又从中任取一些小球，把每一个小球又都变成$$7$$个小球放回盒中；如此进行，到某一时刻魔术师停止取球变魔术，此时盒中球的总数可能是（~ ）． a. $$2018$$~~~~~~ b. $$2017$$~~~~~~ c. $$2016$$~~~~~~ d. $$2015$$~~~~~~

Three people cooking at the same time does not mean it is Thanksgiving. Just like it does not mean it would be dinner as it could be breakfast or lunch.

Unknown

esnli

Context: Two men and one women are standing in front of a stove cooking. Hypothesis: Three people are cooking Thanksgiving dinner. Is the hypothesis incorrect? (Yes, no, or unknown)?

You cannot be walking and sleeping at the same time . also 3 people does not mean guy and girl only

False

esnli

Context: "Three people walking down a street together." Hypothesis: A guy and girl are asleep on the couch. Based on the context, is the hypothesis true, false, or unknown?

The three friends are in the array of water fountains, nothing was said about them trying to stay cool.

Unknown

esnli

Given the statement "Three kids stand in an array of water fountains.", is the statement "Three friends are trying to stay cool for summer." wrong? - Yes - No - Unknown

Most invertebrates have a nervous system. Jellyfish and insects are invertebrates. Jellyfish have a nervous system.

Jellyfish

qasc

What has a nervous system? Options: * Plaster * animals * fur seals * elephants * chickens * Rocks * Oxygen * Jellyfish

25 + 15 + 55 = 95% 100 - 95 = 5% to all others

[D]

aqua

If a company allocates 25 percent of its budget to advertising, 15 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations? [A] 4/5 [B] 3/5 [C] 3/10 [D] 1/20 [E] 1/40

We are not told as to which woman is tall or who is wearing a blouse. We can't just imply what it going on.

Unknown

esnli

Given the statement "A young woman in a black blouse, blue jeans, and sandals is standing behind another young woman who is seated with a red poncho draped around her as the first young lady cuts her hair.", is the statement "A tall woman in a blouse." wrong? - Yes - No - Unknown

Sentence 2 has nothing that is consistent with sentence 1 except that the subject is a woman. The idea that a person could be inferred to be self-identifying as a farm animal or that a painting of a cow is necessarily a work of art is offensive. There is zero inference from sentence 1 in sentence 2.

Unknown

esnli

Context: A woman is standing in front of a painting of a cow. Hypothesis: A woman sees herself in a piece of art. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?

The slippers are $50.00 and currently 10% off so that’s 50*.10 = $5.00 discount The slippers are $50.00 with a $5.00 discount which makes them 50-5 = $45.00 The embroidery will be $5.50 per shoe, and 2 shoes make a pair so it will cost 5.50*2 = $11.00 The shoes are on sale for $45.00, the embroidery will be $11.00 and the shipping is $10.00 for a total of 45+11+10 = $66.00

66

gsm8k

Mark wants to order a pair of slippers for his wife with her initials embroidered on top. The slippers are currently $50.00 and are 10% off. The embroidery will be $5.50 per shoe and shipping is a flat rate of $10.00. How much will the slippers cost?

先选择$$1$$、$$3$$、$$5$$、$$7$$、$$9$$、$$11$$、$$13$$、$$15$$，再选择$$4$$、$$12$$、$$16$$，共$$11$$个数．

$$11$$

TAL-SCQ5K

从$$1$$，$$2$$，$$3$$，$$\cdots $$，$$16$$中选出$$m$$个数，若选出的数中，每一个数都不是另一个数的$$2$$倍，则$$m$$的最大值为． * $$8$$ * $$9$$ * $$10$$ * $$11$$

To sign on the dotted line means to agree to something, so by deleting anything related to love, respect, or joy, the speaker is indicating that they will agree to the contract.

True

FLUTE

Context: "Delete anything that has to do with love, respect, or joy, and I'll agree to this contract." Claim: "Delete anything that has to do with love, respect, or joy, and I 'll sign on the dotted line." Considering the context, is the claim true, false, or unknown?

The man is not necessarily a member of a tropical swing band. He is not necessarily getting ready for a concert at a beach front resort.

Unknown

esnli

Consider the statement "An aging man in a green and orange palm tree shirt and straw hat holds a red drum and a drumstick.". Is the statement "A member of a tropical swing band, gets ready for a concert at a beach front resort." false? Yes/no/unknown

Giant animals such as a bear would have to climb a tree, they cannot run up a tree.

(B)

senmaking

One of the following sentences is nonsensical. Which one is it? (A) "the raccoon ran up the tree to hide from the bear" (B) "the bear ran up the tree to hide from the raccoon"

Allergy symptoms can range from mild to severe. Mild symptoms might include itchy eyes, sneezing, and a runny nose. Severe symptoms can cause difficulty breathing, which may be life threatening. Keep in mind that it is the immune system and not the allergen that causes the allergy symptoms. Allergy symptoms can be treated with medications such as antihistamines. Severe allergic reactions may require an injection of the hormone epinephrine. These treatments lessen or counter the immune system’s response.

Group r

ropes

Context: Robert studied two groups of patients. Group O had mild allergy symptoms, while group R displayed severe allergy symptoms. Question: Which group didn't experience a runny nose?

When your brain senses that your body temperature is increasing, it sends messages to the blood vessels in the skin to increase in diameter.

b

quartz

Asa is running in a race and his body temperature decreases. His skin's blood vessels _____ in diameter. a) increase b) decrease

Looking through microscopes can be done for teaching, learning, and other purposes besides research.

I don't know

esnli

Consider the statement "A group on individuals work at a laboratory setting while wearing a white protective gear and looking through microscopes.". Based on this "Scientists are attempting to accomplish research." a true statement? Yes, no, or I don't know?

A man in a black shirt and gray hat gives the thumbs up to a crowd with one hand is not necessarily pumping up the crowd.

I don't know

esnli

Given the statement "A man in a black shirt and gray hat gives the thumbs up to a crowd with one hand, while holding a microphone in the other.", is the statement "a man is pumping up the crowd" is true? - Yes - No - I don't know

The man and woman are wearing hiking gear near the edge of the canyon, so they are hiking on the edge of the canyon.

Yes

esnli

Consider the staetement "A man and a woman, both wearing hiking gear, are standing on the edge of a large canyon.". Based on this statement, is "A man and a woman are hiking on the edge of a large canyon." a true statement? Yes/no/unknown

Not all marathon starts in the morning so there is not any evidence that he is running in morning marathon

Unknown

esnli

Consider the staetement "A young man wearing jogging shorts and a marathon number running on a road past a field on a clear day.". Based on this statement, is "A racer competing in a marathon in the morning." a true statement? Yes/no/unknown

②式$$={{(x-3a)}^{3}}$$， ③式$$=x(b+c-d)+y(b+c-d)-2(b+c-d)$$ $$=(b+c-d)(x+y-2)$$， ④式$$=(m-n)(3m-6n)=3(m-n)(m-2n)$$．所以，②、③、④式合乎要求．故选$$\text{B}$$．

2

TAL-SCQ5K

下列五个多项式： ①$${{a}^{2}}{{b}^{2}}-{{a}^{2}}-{{b}^{2}}-1$$； ②$${{x}^{3}}-9a{{x}^{2}}+27{{a}^{2}}x-27{{a}^{3}}$$； ③$$x(b+c-d)-y(d-b-c)-2c+2d-2b$$； ④$$3m(m-n)+6n(n-m)$$； ⑤$${{(x-2)}^{2}}+4x$$．其中在有理数范围内可以进行因式分解的有． 1) ①，②，③ 2) ②，③，④ 3) ③，④，⑤ 4) ①，②，④

When the temperature of reactants is higher, the rate of the reaction is faster. At higher temperatures, particles of reactants have more energy, so they move faster. They are more likely to bump into one another and to collide with greater force. For example, when you fry an egg, turning up the heat causes the egg to cook faster. The same principle explains why storing food in a cold refrigerator reduces the rate at which food spoils (see Figure below ). Both food frying and food spoiling are chemical reactions that happen faster at higher temperatures.

Paul

ropes

Ned learned about reactions at a higher temperature for his physics class, while Paul had to learn about reactions at lower temperatures. Which person studied about particles of reactants moving slower?

Countries with more industry produce more hazardous wastes than those with little industry.

(2)

quartz

Will lives in England and Tony lives in Ethiopia. Whose country likely produces more hazardous waste? (1) Tony (2) Will

When the temperature of reactants is higher, the rate of the reaction is faster. At higher temperatures, particles of reactants have more energy, so they move faster. As a result, they are more likely to bump into one another and to collide with greater force. For example, food spoils because of chemical reactions, and these reactions occur faster at higher temperatures (see the bread on the left in the Figure below ). This is why we store foods in the refrigerator or freezer (like the bread on the right in the Figure below ). The lower temperature slows the rate of spoilage.

Increase

ropes

Two identical chemical compounds are both in beakers on top of burners in a laboratory. Beaker A is sitting on top of a burner that is set to a low temperature, and Beaker X is on a burner with a high temperature. Ken, the scientist studying these compounds, is closely monitoring the chemicals to see what type of changes occur. If the heat of Beaker A's burner was turned up, would the energy in the particles increase or decrease?

Just because a man rides around the track on his dirt-bike it does not mean he practices for a race. A man does not have to be a professional dirt-bike rider just because he rides a dirt-bike.

Unknown

esnli

Given the statement "A man with a number one on his dirt-bike rides around the track.", what is the statement "A professional dirt-bike rider practices for the race." true? - Yes - No - Unknown

We only know that the men are gathering in the classroom, we cannot know if they will play the instruments in the classroom, or play them elsewhere.

Unknown

esnli

Context: "Musicians gather in a classroom to play guitar and other instruments." Claim: "The group of men play instruments in the classroom" Considering the context, is the claim true, false, or unknown?

You can't assume the man sitting on a boat in the middle of the ocean is fishing or that he is in the Pacific Ocean. He may just be sitting on a boat to get a sun tan and be in the middle of a Lake.

Unknown

esnli

Context: "A man sitting on a boat in the middle of the ocean." Claim: "A man is sitting and fishing in a boat in the middle of the Pacific Ocean." Considering the context, is the claim true, false, or unknown?

The man and woman are not necessarily husband and wife, and they are not necessarily working on their car tire.

Unknown

esnli

Consider the staetement "A man and a woman are working on the wheel of a vehicle.". Based on this statement, is "A husband and wife are working on their car tire" a true statement? Yes/no/unknown

Sentence 1 does not state the age of the woman. Also sentence 1 does not speak about the woman's clothing only her hat.

I don't know

esnli

Context: The blond woman is wearing a black, american flag, tartan cap. Hypothesis: A blonde woman in her 20s is wearing black clothing and a tartan cap with the American flag on it. Given this context, is the hypothesis true (Yes/No/I don't know)?

A mycorrhiza (Greek for "fungus roots") is a symbiotic association between a fungus and the roots of a plant. In a mycorrhizal association, the fungus may colonize the roots of a host plant by either growing directly into the root cells, or by growing around the root cells. This association provides the fungus with relatively constant and direct access to glucose, which the plant produces by photosynthesis. The mycelia of the fungi increase the surface area of the plant’s root system. The larger surface area improves water and mineral nutrient absorption from the soil.

Red

ropes

Two plants of the same type are growing near the outskirts of the Jorah forest. The first plant, colored red, is healthy and has no fungus on it. The other plant, colored black, has a fungus growing on the roots of it. These plants have been around for centuries and if crushed into a powder actually make a nice seasoning to add to a meal. Based on the above, answer the following question: Which color plant is not sharing access to its glucose?