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The given expression equals $a^{2+5}=a^7$. Plugging in the value of $a$, the expression equals $3^7=2187$. | $2187$ | competition-math | Evaluate the expression $a^2\cdot a^5$ if $a= 3$. |
Since $2a + 1 = 1,$ we find that $2a = 0,$ so $a = 0.$ Therefore, $b - a = b - 0 = b = 1.$ | $1$ | competition-math | We have that $2a + 1 = 1$ and $b - a = 1.$ What is the value of $b$? |
A firm with high fixed costs requires a large number of customers in order to have a meaningful return on investment. This is where economies of scale become important. Since each firm has large initial costs, as the firm gains market share and increases its output the fixed cost (what they initially invested) is divided among a larger number of customers. Therefore, in industries with large initial investment requirements, average total cost declines as output increases over a much larger range of output levels. | Firm c | ropes | Context: City D's mayor wants to invite more businesses in the city. Three firms, firm A, firm B, and firm C, took advantage of this opportunity. Firm A does not require large initial costs, but firm B and firm C require
large initial costs. Firm B managed to increase its market share, but firm C failed to increase its market share.
Question: Which frim's average total cost would not decline, firm B or firm C? |
Air pollution can also indirectly cause other health issues and even deaths. Air pollutants can cause an increase in cancer including lung cancer, eye problems, and other conditions. For example, using certain chemicals on farms, such as the insecticide DDT (dichlorodiphenyltrichloroethane) and toxic PCBs (polychlorinated biphenyl), can cause cancer. Indoors, pollutants such as radon or asbestos can also increase your cancer risk. Lastly, air pollution can lead to heart disease, including heart attack and stroke. | Michael | ropes | Consider the following text:
Michael recently moved to Xin Jiang, where there is a large amount of air pollutants due to the chemical manufacturing industry there. Kevin, on the other hand, recently moved to Toronto which just finished a several month long tree planting initiative that has drastically lowered the amount of air pollutants in the city.
Who is more at risk for developing eye problems? |
The shining sun is typically seen as a symbol of hope or happiness, while the dull sun is seen as a symbol of depression or despair. | Yes | FLUTE | Consider the statement "I was staring straight to the dull sun.". Is the statement "I was staring straight into the shining sun." false? Yes/no/unknown |
Sentence 1 describes a member of the three people skateboarding over the dumpster which implies they are riding the skateboard.
| Yes | esnli | Context: Three people are in an alley with a dumpster, one skateboarding over the dumpster while the other two look on.
Hypothesis: A person is riding a skateboard.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A man rides a horse is the continuation of ongoing action after a man rides a horse past a orange and white house.
| No | esnli | Consider the statement "A man in blue clothing and a white turban rides a white horse past a vivid green tree and a orange and white house with purple fixtures.". Is the statement "a man rides a horse" false? Yes/no/unknown |
Pigs can't swim very well and would die in the ocean. | "pigs can survive in the ocean." | senmaking | Of the following two sentences, which one is against common sense?
- "fish can survive in the ocean"
- "pigs can survive in the ocean." |
As time passes, the number of HIV copies keeps increasing, while the number of helper T cells keeps decreasing. The graph in Figure below shows how the number of T cells typically declines over a period of many years following the initial HIV infection. As the number of T cells decreases, so does the ability of the immune system to defend the body. As a result, an HIV-infected person develops frequent infections. Medicines can slow down the virus but not get rid of it, so there is no cure at present for HIV infections or AIDS. There also is no vaccine to immunize people against HIV infection, but scientists are working to develop one. | Tom | ropes | A doctor tested two people for HIV. Tom had the virus in his blood, while Nick didn't have HIV, he was healthy. Tom has apparently had the virus for 20 years.
Based on the above, answer the following question:
Which person had the number of helper T cells decreasing? |
Although two children are playing under a statue they may not be playing together and they may not necessarily be at a park.
| Unknown | esnli | Given the statement "Two children play beneath a metal statue.", is the statement "Two children play at a park together." wrong?
- Yes
- No
- Unknown |
Two important devices depend on electromagnetic induction: electric generators and electric transformers. Both devices play critical roles in producing and regulating the electric current we depend on in our daily lives. Electric generators use electromagnetic induction to change kinetic energy to electrical energy. They produce electricity in power plants. Electric transformers use electromagnetic induction to change the voltage of electric current. Some transformers increase voltage and other decrease voltage. | Tran b | ropes | Bob works for the local electric power company. Part of is job involves checking the generators and transformers. His work schedule allows him to work on the generator tagged as gen A only on Mondays, and the transformer tagged as tran B only on Tuesdays.
Which one would not turn kinetic energy into electric energy, gen A or tran B? |
ANOVA generalizes to the study of the effects of multiple factors. When the experiment includes observations at all combinations of levels of each factor, it is termed factorial. Factorial experiments are more efficient than a series of single factor experiments and the efficiency grows as the number of factors increases.[45] Consequently, factorial designs are heavily used. | Less efficient | ropes | Medication A was tested on 1000 people for 3 years and cured Disease X in 80% of those trials. However, Medication B was tested on 50 patients and cured Disease X in 90% of those trials.
Based on the above, answer the following question:
Was Medication B's trial more efficient or less efficient than Medication A's trial? |
Just because they interact with the child doesn't make them the child's parents or the cold their son.
| Unknown | esnli | Context: A man in a black shirt and sandals along with a woman in a pink shirt and both in khaki shorts are burying a child into a sand pile.
Hypothesis: Parents amuse their young son by covering him with sand at the beach.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Women can not be topless if they are wearing coats. Two women can not be playing in a fountain if they are in an office.
| No | esnli | Context: Two women, one topless, play in a fountain.
Hypothesis: Two girls in an office wearing fur coats.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Original perimeter = x
Hence original side = x/4
New side = 5x/4
New perimeter = 4*5x/4 = 5x | 5x | aqua | The measure of the side of a square is multiplied by 5. If x represents the perimeter of the original square, what is the value of the new perimeter?
Options:
3x
4x
5x
12x
27x |
Just because a man wearing a blue short sitting on his dolphin floating device and women at the background wearing two piece bikini does not imply he is trying to get a date.
| Unknown | esnli | Given the statement "A man wearing a blue short sitting on his dolphin floating device and women at the background wearing two piece bikini", what is the statement "A man sitting on his dolphin trying to get a date." true?
- Yes
- No
- Unknown |
Quadruple means four times | Yes | feasibilityQA | Charles has 9 burgers and bought french fries more than quadruple of this amount.
Question: Is the following statement plausible?
Charles could have 38 french fries. |
If a person has the key to a door, they wouldn't need to break it. | "i gave him the key to break the door" | senmaking | Pick which sentence is not logical.
"i gave him the key to break the door"
"i gave him the key to open the door" |
The man and woman are not the same person, one is drinking whiskey and the other smokes. Finally, one is inside a doorway and the other is in the lobby.
| No | esnli | Given the statement "A woman in a colorful jacket smokes inside the doorway of a business on a city street.", what is the statement "A man is drinking a glass of whiskey in the lobby of a building" true?
- Yes
- No
- Unknown |
Double means two times | No | feasibilityQA | Hudson borrowed a loan of 30 thousand dollars from state bank and borrowed more than double this amount from his father.
Question: Is the following statement plausible?
Hudson could have borrowed 57 thousand dollars from his father. |
The lion likes to eat meat, so it is not a vegetarian. | b | senmaking | Which of the following sentences is nonsensical?
a: "a lion is a carnivore."
b: "a lion is a vegetarian" |
The University of Pittsburgh has around a 60% acceptance rate. The FBI estimated accepting 900 agents out of 16000 applicants in 2019. | Yes | strategyqa | Is University of Pittsburgh easier to enter than FBI? |
One would not be cutting wood and cutting plastic at the same time. Neither wood or plastic cutting would occur in a metal workshop.
| No | esnli | Consider the staetement "Two workers in a wood shop cutting wood.". Based on this statement, is "Two workers cut plastic in a metal workshop" a true statement? Yes/no/unknown |
If the woman is holding a candlelit cake then she is holding a cake, regardless of whether or not it has candles.
| True | esnli | Context: "A woman is holding a candlelit cake above a group of children." Claim: "A woman holding a cake."
Considering the context, is the claim true, false, or unknown? |
When ash from a cigarrete falls in work pants it is not only annoying but also leaves a difficult to remove stain | True | FLUTE | Context: "I hate when I'm smoking a cigarrete and the ash drops in my work pants and leaves a stain."
Hypothesis: I despise when I'm smoking a cigarrete and the ash drops in my work pants and leaves a stain
Based on the context, is the hypothesis true, false, or unknown? |
The girl reaching down into the water while standing besides the edge of a river might not necessarily be looking for fish.
| I don't know | esnli | Given the statement "A girl reaching down into the water while standing at the edge of a river.", is the statement "She is looking for fish." is true?
- Yes
- No
- I don't know |
Let s be the number of swordfish and p be the number of pufferfish. We know that s = 5p and s + p = 90.
Substituting the first equation into the second equation, we get 5p + p = 90
Combining like terms, we get 6p = 90
Dividing both sides by 6, we get p = 15 | 15 | gsm8k | There are five times as many swordfish as pufferfish in an aquarium exhibit. If there are 90 fish total, how many pufferfish are there? |
You cannot be pushing in lawn mower in the backyard of a house while watering plants. Pushing "a" lawn mower is the proper term, not pushing "in" lawn mower.
| No | esnli | Consider the statement "A man excitedly pushing in lawn mower in the backyard of a house.". Based on this "The man is watering his plants." a true statement? Yes, no, or I don't know? |
A dog eats dog food and could not live on grass. | 2 | senmaking | Which of these sentences doesn't make sense?
Options:
1: "the cow is eating the grass."
2: "the dog is eating the grass." |
The men are painting on two different types of surfaces, one being a curb and the other their own faces. They do so in two different physical locations, namely on a street corner and at a circus.
| No | esnli | Context: Two men paint a curb on a busy street corner.
Hypothesis: Two men paint their faces at a circus.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A girl wearing a pink and black shirt and jeans fixes her hair before walking up the stairs does not imply she is a funny person in a shirt
| I don't know | esnli | Context: A girl wearing a pink and black shirt and jeans fixes her hair before walking up the stairs.
Hypothesis: A funny person in a shirt
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A man is not the same as the women. A man is crossing the street and women are gossiping at a cafe.
| No | esnli | Context: A man in a brown jacket crosses the street towards another man in a white hat.
Hypothesis: The women are gossiping at the cafe.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
One result of air pollution is acid rain. Acid rain is precipitation with a low (acidic) pH. This rain can be very destructive to wildlife. When acid rain falls in forests, freshwater habitats, or soils, it can kill insects and aquatic life. It causes this damage because of its very low pH. Sulfur oxides and nitrogen oxides in the air both cause acid rain to form ( Figure below ). Sulfur oxides are chemicals that are released from coal-fired power plants. Nitrogen oxides are released from motor vehicle exhaust. | Italy | ropes | Consider the following text:
Italy and Greece attended the World Ecological Conference. they were looking for solutions to improve their environment. Italy's air was very polluted, while Greece had problems with drought.
Which country had more acid precipitation fall in freshwater habitats? |
A young girl with blond-hair is digging in the sand with a small scoop on the beach with the ocean in the background, at the very same moment wouldn't be a young female is outdoors in the sand with a huge body of water nearby.
| Yes | esnli | Context: A young girl with blond-hair is digging in the sand with a small scoop on the beach with the ocean in the background.
Hypothesis: A young female is outdoors in the sand with a huge body of water nearby.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
If Chris and Ryan put together their marbles in a pile, the pile will have 12+28 = 40 marbles.
If they then take 1/4 of the marbles each, every person will receive 1/4*40 = 10 marbles.
Both of them will have taken a total of 10+10 = 20 marbles.
The number of marbles remaining in the pile is 40-20 = 20 | 20 | gsm8k | Chris has twelve marbles, and Ryan has twenty-eight marbles. If they put marbles together in a pile and then each takes away 1/4 of marbles from the pile, calculate the number of marbles remaining in the pile. |
The people may not be newlyweds. Sand doesn't necessarily mean they are at a beach. We can not be certain it is at sunset.
| Unknown | esnli | Context: A blond holding hands with a guy in the sand.
Hypothesis: Newlyweds walk on the beach at sunset.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Just because there is an open air market in a poor and run down place doesn't mean it has a dirt floor.
| Unknown | esnli | Given the statement "An open air market in a poor and run down place.", what is the statement "A market has a dirt floor." true?
- Yes
- No
- Unknown |
Jake has to descend 30 steps on 9 floors for a total of 9*30 = 270 steps
He descends 3 steps every second so he will descend 270 steps in 270/3 = 90 seconds.
Austin will get down after only a minute (60 seconds) so Jake will get down 90-60 = 30 seconds later. | 30 | gsm8k | Austin and Jake start descending from the 9th floor of a building at the same time. Austin uses the elevator and Jake uses the stairs, descending 3 steps every second. The stairs have 30 steps across each floor. If the elevator will take a minute to get to ground level, how many seconds later will Jake get to the ground floor? |
The fact that a lady and a man kneeling down holding a string while another lady looks at them does not imply they flies a kite.
| Unknown | esnli | Context: "A lady and a man kneeling down holding a string while another lady looks at them." Claim: "A couple flies a kite as a woman watches."
Considering the context, is the claim true, false, or unknown? |
Pointing at someone rarely is meant to emulate pretending to point a gun at someone, it generally means to signify what the person is talking about.
| I don't know | esnli | Context: One man is posing with arms outstretched and finger pointed while another stares from behind him.
Hypothesis: The man is pretending to point a gun at someone else.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Being always the sibling that parents talk about implies that the other siblings are not significant and so receiving this is not amazing but, damaging. | No | FLUTE | Given the statement "My sister is always the sibling that my parents talk about and sometimes I wonder if they even notice me.", is the statement "I feel amazing that my sister is always the sibling that my parents talk about and sometimes I wonder if they even notice me" is true?
- Yes
- No
- I don't know |
A conference or dinner room are both examples of an event. If people are gathering outside this implies they are going to the event.
| Yes | esnli | Given the statement "People gathering outside of a conference or dinner room.", what is the statement "the people are going to a event" true?
- Yes
- No
- Unknown |
Men talking at the back of a delivery truck cannot be the same men playing football neat the truck.
| No | esnli | Context: Some men are talking at the back of a delivery truck.
Hypothesis: Men are playing football near the truck.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
The fact that an angry looking woman is sitting beside a man doesn't imply a married couple and doesn't imply bickering at home.
| Unknown | esnli | Context: An angry looking woman is sitting in a chair while a man in a green shirt stands beside her.
Hypothesis: Married couple bickering at home.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
A melted popsicle is sticky and wet, not dry and is mostly red or orange or yellow, barely blue | Yes | FLUTE | Consider the statement "It was blue and dry". Is the statement "It was like a melted popsicle on a warm day." false? Yes/no/unknown |
A week has 7 days | Yes | feasibilityQA | Context: A Spain soccer player scored at least 4 goals in every match. He played a match every day for a week.
Question: "Benjamin could have scored a total of 31 goals in that week." -- Is this statement true? |
Molecules of trna bring amino acids to the ribosome in the correct sequence.
Amino acids amino acids are the building blocks of proteins.
Molecules of trna bring the building blocks of proteins to the ribosome in the correct sequence. | molecules of tRNA | qasc | What brings the building blocks of proteins to the ribosomes in the correct sequence?
Options:
* recycling
* flow of electrons
* Chemical energy
* it needs them
* an engine
* light energy
* A computer
* molecules of tRNA |
- Something that is used for communication increases communication
- A computer is used for communication / finding information
- Therefore, a computer can increase communication
Hence, a computer can increase communication | by increasing communication | entailment_bank | [Question]How has the invention of the personal computer helped people the most?
[Context]- Something that is used for communication increases communication
- A computer is used for communication / finding information |
Air pollution harms the respiratory and circulatory systems.
Exposure to ozone can diminish lung function and increase susceptibility to respiratory infection.
Exposure to air pollution can harm the lungs. | b | qasc | Which type of pollution is most harmful to lungs?
Options:
a. Lead
b. air
c. Cars
d. oil
e. acid
f. CFCs
g. SO2
h. mold |
If there were twice as many girls as boys present that day, then the number of boys is 140 girls / 2 girls/boy = 70 boys.
The total number of students present that day is 140 girls + 70 boys = 210 students.
If the class has 250 students, then the number of boys absent is 250 students - 210 students = 40 boys. | 40 | gsm8k | On a particular day, Rose's teacher read the register and realized there were twice as many girls as boys present on that day. The class has 250 students, and all the 140 girls were present. If all the absent students were boys, how many boys were absent that day? |
If the man is in a kitchen working an industrial mixing bowl, then the man is working in the kitchen.
| No | esnli | Context: A man in an apron stands in a kitchen working an industrial mixing bowl.
Hypothesis: The man with an apron is working in the kitchen.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
The men taking a break from construction, which implies they have either left the premises or are relaxing, as where the construction site means on location.
| Yes | esnli | Given the statement "Two men take a break from construction.", is the statement "The construction site is on fire." wrong?
- Yes
- No
- Unknown |
Female welding instructor showing student how to use a soldering iron is not necessarily showing how to do her final project.
| Unknown | esnli | Given the statement "The female welding instructor is showing a young student how to use a soldering iron to apply metal to a small object.", is the statement "A welding instructor is teaching a student how to do her final project." wrong?
- Yes
- No
- Unknown |
Just because a man in a light brown shirt is busy dealing with a medium sized metal structure that contains a fire does not mean that he is trying to put out the fire.
| Unknown | esnli | Context: A man in a light brown shirt is busy dealing with a medium sized metal structure that contains a fire.
Hypothesis: A man is trying to put out the fire.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Answer: Many people refers to lots of humans and the public transportation refers to mass transit vehicle.
| Yes | esnli | Context: Many people crowded on some sort of public transportation.
Hypothesis: Lots of humans are loaded onto a mass transit vehicle.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Either a person walks between two cones or between 200 cones, but it is not possible to do both of these at the same time.
| No | esnli | Context: A man walks between two, large white cones.
Hypothesis: A man walks between 200 large white cones.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
A young person in a gray t-shirt stands beside an older woman handing out a slice of watermelon is seedless.
| Unknown | esnli | Context: A young person in a gray t-shirt stands beside an older woman handing out a slice of watermelon.
Hypothesis: The watermelon is seedless.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
You may hear males "ribbiting," producing a mating call used to attract females to the bodies of water best for mating and breeding. Frog calls can occur during the day or night. Each frog species has a different call that is used to attract mates and warn off rivals. When a female picks a male whose call she likes, the male grabs her and squeezes across her back and around her abdomen. This causes the female to release her eggs. The male then fertilizes the eggs and, in some species, also guards them. | Bob | ropes | Consider the following text:
Bob and Andy were two nature enthusiasts. They went camping together once a month. Bob was into bird watching, while Andy was fascinated with frogs and salamanders. They went on a trip last week-end and they were very happy with what they had observed.
Which friend heard fewer frog calls during the day? |
$$4$$只正常猫一共有$$18\times 4=72$$（个）爪，$$4$$只伤残猫失去的腿都不同，一共失去$$5\times 2+4\times 2=18$$（个）爪，现在$$4$$只伤残猫一共有$$72-18=54$$（个）爪。 | c | TAL-SCQ5K | 大家都知道，一只正常的猫有$$18$$个爪，每条前腿有$$5$$个爪，每条后腿有$$4$$个爪。在某市的``保护伤残动物之家''收养了$$4$$只伤残猫，每只猫都失去了一条腿，但是每只猫失去的腿都不相同，这$$4$$只伤残猫共有（ ）个爪。
a) $$68$$
b) $$64$$
c) $$54$$
d) $$52$$ |
$$1+(5-1)\times 99=397$$. | [a] | TAL-SCQ5K | What is the $$100\rm th$$ number in the arithmetic sequence $$1$$, $$5$$, $$9$$, $$13$$, $$17$$, $$21$$, $$25$$, $$\cdots$$．
Options:
[a] $$397$$
[b] $$399$$
[c] $$401$$
[d] $$403$$
[e] $$405$$ |
The sides of equilateral triangles are equal. | Yes | feasibilityQA | Nicolas was solving a question on equilateral triangle. It was given that the length of two sides of the triangle are same.
Q: Is it true that "The third side could be same as the other two sides." |
It would be nearly impossible to play Dance Dance Revolution and paint another man's face at the same time.
| Yes | esnli | Context: A man face painting another man.
Hypothesis: A man is playing Dance Dance Revolution.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Hitting an object causes the particles in that object to vibrate.
Frequency is the measurable rate of that vibration.
Hitting an object causes the particles in that object to change frequency. | frequency | qasc | what changes to the particles of an object when hit?
Temperature
frequency
Energy.
volume
molecules
density
energy
heat energy |
Stealing is never an accomplishment and is rather a bad thing to do, especially if the stolen item was from someone close to you like a boyfriend. | False | FLUTE | Context: "Last week I stole a donut from my boyfriend's desk, I was really hungry" Claim: "I feel such a sense of accomplishment for stealing a donut from my boyfriend's desk last week because I was starving."
Considering the context, is the claim true, false, or unknown? |
The fact that a man standing outside a store playing a musical instrument doesn't imply that he is playing a song.
| Unknown | esnli | Context: "a man standing outside a store playing a musical instrument" Claim: "A man standing outside the store is playing a song."
Considering the context, is the claim true, false, or unknown? |
Just because a woman who is holding some tissue and appears to be wet from the head while being consoled by a male friend, it does not necessarily mean that it is because she is sweating after running a marathon.
| Unknown | esnli | Context: "A woman is holding some tissue and appears to be wet from the head; she is being consoled by a male friend wearing a blue shirt."
Hypothesis: A woman is sweating after running a marathon.
Based on the context, is the hypothesis true, false, or unknown? |
Klinefelter's syndrome is caused by the presence of one or more extra copies of the X chromosome in a male's cells. Extra genetic material from the X chromosome interferes with male sexual development, preventing the testicles from functioning normally and reducing the levels of testosterone. Triple X syndrome (trisomy X) results from an extra copy of the X chromosome in each of a female's cells. Females with trisomy X have a lower IQ than their siblings. Turner syndrome results when each of a female's cells has one normal X chromosome and the other sex chromosome is missing or altered. The missing genetic material affects development and causes the characteristic features of the condition, including short stature and infertility. | Danny | ropes | Context:
Two brothers born three years apart were very different. Jim had no genetic abnormalities, while Danny had Klinefelter's syndrome.
Q: Which brother had testicles that weren't functioning normally? |
Because they have a dog, a paper picker on the grass you can assume he is cleaning up after the poop of the dog on the grass
| I don't know | esnli | Consider the statement "A man cleaning the park with a dark stripe hat, blue coat and dark blue jeans, with a dog on a leash holding a paper picker, along with a man who has a blue hat, yellow gloves, blue coat, light blue jeans, paper picker and bag.". Based on this "The dog is pooping on the grass." a true statement? Yes, no, or I don't know? |
If there are dancers marching down a street wearing heels then they are dancers wearing heals in the street.
| No | esnli | Given the statement "Dancers in blue and gold costumes are marching down a street while wearing silver high heels.", is the statement "The dancers are wearing heels in the street." wrong?
- Yes
- No
- Unknown |
While a chair may inadvertently get eaten by a dog, people don't buy chairs with the intention of deliberately feeding it to their dog. | b | senmaking | Of the following two sentences, which one is against common sense?
a. "he bought bones for his dog to eat"
b. "he bought chair for his dog to eat" |
Gravitational force is directly proportional to mass | No | feasibilityQA | Atlas saw on news that there are two asteroids near earth. These asteroid may hit the ground because of gravitational pull from earth. The two asteroids have different masses and are equally apart from the Earth. The gravitational pull of the Earth to the heaviest asteroid is 58 units.
Question: Is the following statement plausible?
Gravitational pull from Earth to the other asteroid could be 64 units. |
Two jockeys on horses are racing down a track does not indicate that they are fighting for first place.
| Unknown | esnli | Context: Two jockeys on horses are racing down a track.
Hypothesis: Two jockeys in a horse race fighting for first place.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
3000 new bees are born every day. In 7 days there will be 3000*7=21000 new bees
If each day the queen loses 900 bees, in 7 days there will be 900*7=6300 fewer bees
If at the beginning the queen had 12500 bees, then at the end of 7 days she will have 12500+21000-6300=27200 bees
The total number of bees in the hive including the queen is 27200+1 =27201 | 27201 | gsm8k | 3000 bees hatch from the queen's eggs every day. If a queen loses 900 bees every day, how many total bees are in the hive (including the queen) at the end of 7 days if at the beginning the queen had 12500 bees? |
If there is baseball player standing at home plate, with the catcher and umpire behind him, then a baseball game is being played.
| Yes | esnli | Given the statement "There is a baseball player standing at home plate, the catcher behind him has his hand up in the air with his glove, and the umpire is standing behind him, and many people in the stands.", what is the statement "A baseball game is being played." true?
- Yes
- No
- Unknown |
Uki earns 20 x $1.50 = $30 in selling 20 cupcakes.
She earns 10 x $2 = $20 for selling 10 packets of cookies,
Additionally, she earns another 20 x $1 = $20 for selling twenty packets of biscuits.
Thus, in a day, she earns an average of $30 + $20 + $20 = $70. Therefore, for five days, Uki earns 5 x $70 = $350. " | 350 | gsm8k | Uki owns a bakery. She sells cupcakes at $1.50 each, cookies at $2 per packet, and biscuits at $1 per packet. In a day, she can bake an average of twenty cupcakes, ten packets of cookies, and twenty packets of biscuits. How much will be her total earnings for five days? |
Having a meltdown can be over many things, not just being upset that parents won't take you to a toy store.
| Unknown | esnli | Consider the staetement "The child is having a meltdown on the ground.". Based on this statement, is "The child is upset that his parents won't take him into the toy store." a true statement? Yes/no/unknown |
Losing a wallet is really frustrating because it often contains a lot of important things like credit cards and cash | No | FLUTE | Consider the statement "I lost my wallet and had to get all new cards". Is the statement "I was really upset when I realized my wallet was missing and had to go through the process of getting all new cards" false? Yes/no/unknown |
- Iron is a kind of element
- The chemical symbol for iron is fe
- Hence, fe is the chemical symbol for iron element
Therefore, fe is the chemical symbol for iron element | Fe | entailment_bank | Question: What chemical symbol represents the element iron?
Context: - Iron is a kind of element
- The chemical symbol for iron is fe |
The skier may be a woman instead of a man. The skier may be doing tricks on something other than skies for variety.
| I don't know | esnli | Consider the statement "A skier with a brown jacket does a trick in the snow.". Based on this "a man in a jacket does tricks on his skis" a true statement? Yes, no, or I don't know? |
During the 1670s, the Dutch tradesman Antony van Leeuwenhoek, shown in Figure below , used microscopes to observe many microbes and body cells. Leeuwenhoek developed an interest in microscopy and ground his own lenses to make simple microscopes. Leeuwenhoek was so good at making lenses that his simple microscopes were able to magnify much more clearly than the compound microscopes of his day. His microscope's increased ability to magnify over 200x is comparable to a modern compound light microscope. Compound microscopes , which are microscopes that use more than one lens, had been invented around 1595 by Zacharias Jansen, a Dutch spectacle-maker. Several people, including Robert Hooke, had built compound microscopes and were making important discoveries with them during Leeuwenhoek’s time. | More clearly | ropes | John is interested in the history of science. He went to a science museum to learn more about microscopes. First he saw a Leeuwenhoek microscope, which was labeled as item A, then he saw a compound microscope of Leeuwenhoek's time, which was labeled as item B. At the very end of his museum tour he saw a modern compound light microscope, which was labeled as item C.
Would item A magnify less clearly or more clearly than item B? |
A man is specific about the man standing in front of the microphone, does not say he is doing anything else, but someone preforming could be anyone.
| No | esnli | Given the statement "A man is standing in front of a microphone in a room with individuals sitting on chairs in rows around the edges of the room.", is the statement "Someone is performing a music piece." is true?
- Yes
- No
- I don't know |
This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on. | 22 | aqua | Look at this series: 36, 34, 30, 28, 24, ... What number should come next?
* 20
* 22
* 25
* 24
* 26 |
A woman does not imply that there are multiple women. A game of curling does not necessarily need to be indoors.
| I don't know | esnli | Consider the statement "A woman is focusing on her game of curling.". Based on this "There is a women playing a game indoors" a true statement? Yes, no, or I don't know? |
To go all jekyll and hyde means to wildly change between two different personalities, which is what the speaker is warning against. | Yes | FLUTE | Given the statement "You need to remember before you go all wildly changing between two different personalities on us again.", what is the statement "You need to remember before you go all jekyll and hyde on us again." true?
- Yes
- No
- Unknown |
Hypertension , which is also called "high blood pressure," occurs when a person’s blood pressure is always high. Hypertension is said to be present when a person's systolic blood pressure is always 140 or higher, and/or if the person's diastolic blood pressure is always 90 or higher. Having hypertension increases a person’s chance for developing heart disease, having a stroke, or suffering from other serious cardiovascular diseases. Hypertension often does not have any symptoms, so a person may not know that he or she has high blood pressure. For this reason, hypertension is often called the "silent killer." Treatments for hypertension include diet changes, exercise, and medication. Foods thought to lower blood pressure include skim milk, spinach, beans, bananas and dark chocolate. | Tom | ropes | Context:
Two twin brothers had very different blood pressures. Tom had very high blood pressure, while Dan had low blood pressure.
Q: Which brother had hypertension? |
Cells are organized into tissues, and tissues form organs.
Different tissues then combine to form specialised organs .
Cells are organized into tissues, and tissues combine into specialized organs. | D | qasc | Cells are organized into tissues, and tissues combine into what?
A: allow growth
B: Veins and arteries.
C: epidermis and dermis
D: specialized organs
E: colors of the spectrum
F: man made organs
G: failing organs
H: local organs |
Either the couple are sitting on a bench or they are kissing on a bed. Given that they are also playing instruments, they cannot do both simultaneously.
| False | esnli | Context: "A man and a woman are sitting on a bench and are playing stringed instruments." Claim: "A man and woman are kissing on the bed"
Considering the context, is the claim true, false, or unknown? |
A child in a well fitting suit with a blue bow tie is not a definitive for wealth rather the opposite. The suit is too small indicating poverty.
| Unknown | esnli | Context: "A dark-skinned child blowing some bubbles using his mouth."
Hypothesis: There is a dark-skinned child in a well fitting suit with a blue bow tie blowing bubbles.
Based on the context, is the hypothesis true, false, or unknown? |
A man who is running on a beach involves movement while to balance on a surfboard one must stay still.
| Yes | esnli | Given the statement "A man in a wetsuit trying to balance on a surfboard.", is the statement "A man running on a beach." wrong?
- Yes
- No
- Unknown |
We cannot infer that the saddle is new nor that he is trying it out. he might be going for a ride with his old saddle.
| Unknown | esnli | Context: "A person wearing jeans sits on top of a horse saddle." Claim: "A person is trying out a new horse saddles."
Considering the context, is the claim true, false, or unknown? |
Girl wearing short skirt looking at a rack of magazines in the sidewalk is common in both sentences
| Yes | esnli | Given the statement "a girl wearing a short skirt looking at a rack of magazines on the sidewalk.", is the statement "A girl wearing a short skirt is looking at a magazine rack on the sidewalk." is true?
- Yes
- No
- I don't know |
The soccer player is kneeling to tie her shoes but that doesn't necessarily mean that she is taking a break during warm ups.
| Unknown | esnli | Context: Soccer player kneeling down to tie her shoe.
Hypothesis: a soccer player takes a break during warm ups
Is the hypothesis incorrect? (Yes, no, or unknown)? |
首先，``乙没有坐在$$3$$号椅子上''是错的，就可以判断出乙在$$3$$号椅子上；再看，``乙坐在丙旁边''是错的，可以判断出丙不在$$2$$，$$4$$号椅子上，所以在$$1$$号椅子；最后，``甲坐在乙、丙中间''是错的，可以判断出甲在$$4$$号，故得出丁在$$2$$号椅子上． | (B) | TAL-SCQ5K | 甲、乙、丙、丁$$4$$人坐在$$1$$、$$2$$、$$3$$、$$4$$号椅子上，有人说：乙坐在丙旁边，甲坐在乙、丙中间，乙没有坐在$$3$$号椅子上．已知此人说的都是错的，则丁坐在（~ ）号椅子上．
(A) $$1$$
(B) $$2$$
(C) $$3$$
(D) $$4$$ |
Spectators look as as chun kuk do tournament proceeds, implies that a group of spectators watch the chun kuk do tournament.
| Yes | esnli | Context: There is a chun kuk do tournament with a group of spectators watching.
Hypothesis: A group of spectators look on as the chun kuk do tournament proceeds.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A man and a woman are different. Working on a circuit board and smelling flowers are different actions.
| No | esnli | Given the statement "A man working on a circuit board", is the statement "A woman outside, smelling the flowers." is true?
- Yes
- No
- I don't know |
Just because an onlooker site on the shore of a pool doesn't mean they are admiring anything. The onlooker might not be on vacation.
| Unknown | esnli | Consider the statement "An onlooker sits on the shore of a pool overlooked by massive waterfalls.". Is the statement "An onlooker is admiring the view of the scenery on vacation." false? Yes/no/unknown |
The team in red and black uniforms stand on each others' shoulders because the crowd is pressing into them.
| Yes | esnli | Context: A team in red and black uniforms stand on each others' shoulders while crowd presses into them.
Hypothesis: A team in red and black uniforms stand on each others' shoulders
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Just because he is staring through a telescope doesn't mean he is staring at his neighbor's window.
| Unknown | esnli | Consider the statement "A young boy with an interesting hairstyle peers through a brass telescope.". Is the statement "A young boy looks through a telescope at his neighbor's window." false? Yes/no/unknown |
Suppose the amount in the beginning was Rs ’x’
Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3
Money spent on food = 1/5 of 2x/3 = Rs 2x/15
Balance = 2x/3 - 2x/15 = Rs 8x/15
Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5
Therefore 2x/5 = 100 = 250 | [B] | aqua | A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 100. How much did he have with him in the beginning?
Options:
[A] Rs 200
[B] Rs 250
[C] Rs 300
[D] Rs 450
[E] Rs 550 |
$$\cos A=\frac{\overrightarrow{AB}\cdot \overrightarrow{AC}}{\left\textbar{} \overrightarrow{AB} \right\textbar\left\textbar{} \overrightarrow{AC} \right\textbar}=\frac{\left( -3,0,4 \right)\cdot \left( 2,-2,-1 \right)}{\sqrt{{{\left( -3 \right)}^{2}}+{{4}^{2}}}\cdot \sqrt{{{2}^{2}}+{{\left( -2 \right)}^{2}}+{{\left( -1 \right)}^{2}}}}=-\frac{2}{3}$$， 又$$\cos A=\frac{1-{{\tan }^{2}}\frac{A}{2}}{1+{{\tan }^{2}}\frac{A}{2}}$$，解得$$\tan \frac{A}{2}=\sqrt{5}$$． | a | TAL-SCQ5K | 在空间直角坐标系中，$$\triangle ABC$$的三个顶点坐标分别为$$A\left( 3,4,1 \right)$$，$$B\left( 0,4,5 \right)$$，$$C\left( 5,2,0 \right)$$，则$$\tan \frac{A}{2}$$的值是．
Options:
a) $$\sqrt{5}$$
b) $$\frac{\sqrt{5}}{5}$$
c) $$\sqrt{6}$$
d) $$\frac{\sqrt{6}}{6}$$ |
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