rationale stringlengths 0 4.7k | target stringlengths 1 171 | source stringclasses 13
values | prompt stringlengths 16 2.02k |
|---|---|---|---|
A switch is used to start the flow of current in an electrical circuit.
An electrical current is the flow of electric charge.
A switch is used to start the flow of electric charge in an electrical circuit. | flow | qasc | A switch is used to start the what of electric charge in an electrical circuit?
* emptying
* O3
* copper
* flow
* motion
* stasis
* deletion
* energy |
The decimal representation of $\frac{5}{7}$ is $0.\overline{714285}$, which has a repeating block of 6 digits. Since 4 is one of those six digits that keep repeating, the probability that the selected digit is a 4 is $\frac{1{6}}$. | $\frac{1$ | competition-math | One digit of the decimal representation of $\frac{5}{7}$ is randomly selected. What is the probability that the digit is a 4? Express your answer as a common fraction. |
Since AM fungi are biotrophic, they are dependent on plants for the growth of their hyphal networks. Growing a cover crop extends the time for AM growth into the autumn, winter, and spring. Promotion of hyphal growth creates a more extensive hyphal network. The mycorrhizal colonization increase found in cover crops sys... | Bubba | ropes | Bubba and Dean are two farmers which realized the benefits of having AM fungi in their soil. Dean, however, took active steps in helping the growth of AM fungi so he grew cover crops on his lands.
Which farmer promoted less hyphal growth? |
{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}
100 = 80 + 75 - {Both correctly} + 5
{Both correctly} = 60. | 60 % | aqua | If 80 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 75 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
O... |
Blood ph may become unbalanced if the rate of breathing is too fast or too slow.
Slow and fast respirations or long periods without a breath are common in the dying child.
Blood ph may become unbalanced if respiration is too fast or too slow. | [E] | qasc | What is affected by too fast or slow respirations?
Options:
[A] perspiration
[B] breathing
[C] heat energy
[D] animals
[E] blood pH
[F] Most plants
[G] hyperventilating
[H] sweating |
Marine biomes are found in the salt water of the ocean.
Another animal that lives within the marine biome is a sea tiger.
Sea tigers live in salt water. | 5 | qasc | What type of water do sea tigers live in?
Options:
1: warm-blooded
2: survival
3: Frozen
4: liquid
5: Salt water
6: Fresh
7: Absorb light
8: Evaporated |
Protozoa generally feed by engulfing and digesting other organisms. As consumers, they have various roles in food chains and webs. Some are predators. They prey upon other single-celled organisms, such as bacteria. In fact, protozoa predators keep many bacterial populations in check. Other protozoa are herbivores. They... | Matt | ropes | Context:
Two biologists studied different living creatures. Matt studied protozoa, while his friend Greg studied nematodes and insects.
Q: Which friend studied more about herbivore protozoa grazing on algae? |
Fish reproduce sexually. They lay eggs that can be fertilized either inside or outside of the body. In most fish, the eggs develop outside of the mother's body. In the majority of these species, fertilization also takes place outside the mother's body. The male and female fish release their gametes into the surrounding... | Inside | ropes | Context:
All marine creatures are not fish. There are some mammals, for example, whales, also live in the water. Rob wants to know more about differences between fish and other non fish creatures in the water. He divided them into two groups, group A and group B. Group A consists of fish, and group B consists of non fi... |
A murder is a crime, while the death of a character is simply an event that happens in a story. | Yes | FLUTE | Given the statement "The novel ends with the death of a character.", is the statement "The novel emerges with a murder." wrong?
- Yes
- No
- Unknown |
Just because two women are walking down a street using their mobile phones doesn't mean they are lost and are calling for help.
| I don't know | esnli | Context: Two young women walking down a street using their mobile phones.
Hypothesis: Two women are lost and calling for help.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Since he receives four pairs of pants every year, and a pair has two pants, he gets 4*2 = 8 pants every year.
After five years, the total number of pants he'll receive is 5*8 = 40 pants.
If he initially had 50 pants, he'll have a total of 50+40 = 90 pants in five years. | 90 | gsm8k | Each year Dani gets 4 pairs of two pants each as pay winning the best Amazon buyer of the season. If he initially had 50 pants, calculate the number of pants he'll have in 5 years. |
Wembley Arena is an indoor arena. The moon is located in the sky. You cannot see the sky if you are indoors. | No | strategyqa | Can you see the moon in Wembley Arena? |
Making these healthy lifestyle choices can also help prevent some types of cancer. In addition, you can lower the risk of cancer by avoiding carcinogens , which are substances that cause cancer. For example, you can reduce your risk of lung cancer by not smoking. You can reduce your risk of skin cancer by using sunscre... | Bob | ropes | Two high school buddies, Dan and Bob, had very different lifestyles 30 years later. Dan made only healthy lifestyle choices, was vegan. Bob ate meat, cheese and didn't care about his health and didn't protect himself.
Based on the above, answer the following question:
Which man smoked tobacco, Dan or Bob? |
The area of the wall including the window is $9\cdot12=108$ square feet. The area of the window is $2\cdot4=8$ square feet. Thus, the area Sandy needs to paint is $108-8=100$ square feet. | $100$ | competition-math | Sandy plans to paint one wall in her bedroom. The wall is 9 feet high and 12 feet long. There is a 2-foot by 4-foot area on that wall that she will not have to paint due to the window. How many square feet will she need to paint? |
A non competitive match is the opposite of a competitive match in which the athletes participate in.
| False | esnli | Context: "Two athletes square off in a competitive match."
Hypothesis: Two athletes are squaring off to a non competitive match.
Based on the context, is the hypothesis true, false, or unknown? |
Marmalade is not something usually eaten for dinner. | "many people enjoy eating marmalade for dinner." | senmaking | One of the following sentences is nonsensical. Which one is it?
- "many people enjoy eating chicken for dinner."
- "many people enjoy eating marmalade for dinner." |
The women members of a musical symphony dressed in black and carrying red flags may be described more concisely as women wearing black.
| Yes | esnli | Context: These are women members of a musical symphony dressed in black and carrying red flags outside an ornate building.
Hypothesis: The women are wearing black.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
The one who is asleep cannot be eating and having wine simultaneously. The one who is at a dining table cannot be on a beach simultaneously.
| No | esnli | Consider the statement "A man sitting at a dining table, wearing a striped shirt, is eating a salad and having a glass of red wine.". Based on this "The man is asleep on a sandy beach." a true statement? Yes, no, or I don't know? |
Just because they are kneeling where the boats are stationed in the background doesn't mean the are watching the boats
| I don't know | esnli | Consider the statement "A man is kneeling down with a child on a beach where bright blue and red boats are stationed in the background.". Based on this "The man and boy are watching the boats." a true statement? Yes, no, or I don't know? |
One cannot be riding a horse and brushing it down at the same time. The horse can be either trying to buck the man off or drinking water.
| False | esnli | Context: "A man is riding a horse in a rodeo and the horse is trying to buck him off."
Hypothesis: The man is brushing down the horse as it drinks water at the trough.
Based on the context, is the hypothesis true, false, or unknown? |
The person in sentence two could just be someone that is an official or a follower of the race. He may not be in the race itself but just at the race.
| Unknown | esnli | Context: "The cyclist makes another push to try and keep his position after slowly down to round a corner." Claim: "a person in a bicycle race"
Considering the context, is the claim true, false, or unknown? |
Vertebrates are animals that have a backbone.
Human beings are vertebrates.
Human beings have a backbone. | 7 | qasc | what have a backbone?
1: jellyfish
2: people
3: deltas
4: h2o
5: an organism's body
6: insects
7: human beings
8: invertebrates |
Spectators surrounding a bicycle race does not imply they are waiting at the finish line, they could be anywhere along the race track.
| Unknown | esnli | Consider the staetement "Spectators surround a bicycle race.". Based on this statement, is "People are waiting at the finish line of a race." a true statement? Yes/no/unknown |
A little girl is laying down on her back on a hardwood floor, looking out of the corner of her eyes at a smaller child who is wearing pajamas, a hairnet and a surgical mask doesn't imply that they are playing a game together.
| Unknown | esnli | Context: "A little girl is laying down on her back on a hardwood floor, looking out of the corner of her eyes at a smaller child who is wearing pajamas, a hairnet and a surgical mask."
Hypothesis: Two children play a game together.
Based on the context, is the hypothesis true, false, or unknown? |
Volcanoes would kill a bird because it is too hot. | B | senmaking | Which of these sentences doesn't make sense?
A. "birds like to bathe in my bird bath."
B. "birds like to bathe in a volcano." |
A person who stands next to a window watching his neighbor can wear clothes other than any type of hood.
| Unknown | esnli | Context: A person in a striped blue and white hooded sweatshirt is standing by a window.
Hypothesis: A person stands next to a window watching his neighbor
Is the hypothesis incorrect? (Yes, no, or unknown)? |
She reads 90-60=30 pages in an hour.
She needs to read 210-90=120 more pages.
For an additional 120 pages, she will need 120/30=4 hours. | 4 | gsm8k | Jo reads at a steady pace. Her current book has 210 pages. Now, she is at page 90. An hour ago, she was at page 60. For how many hours will she be reading the book? |
A curly-haired brunette outside in the sunlight is not necessarily waiting for her boyfriend and not necessarily hoping he notices her new perm.
| I don't know | esnli | Consider the statement "A curly-haired brunette wearing a black and purple reversible jacket and a long scarf is standing outside in the sunlight.". Based on this "A curly haired woman stands outside waiting for her boyfriend, hoping he notices her new perm." a true statement? Yes, no, or I don't know? |
There is a man and a group of people, a group implies more than one, therefore there is a total of at least three people.
| Yes | esnli | Given the statement "An older man tipping his hat while standing in a group of people.", is the statement "There are at least 3 people." is true?
- Yes
- No
- I don't know |
A) In a straight-chain molecule, all the carbon atoms are lined up in a row like cars of a train. The carbon atoms form the “backbone” of the molecule. B) In a branched-chain molecule, at least one of the carbon atoms branches off from the backbone. C) In a cyclic molecule, the chain of carbon atoms is joined at the tw... | Sample b | ropes | Context: Mark works as a scientist for a molecular research institute. Today, he has three samples of molecule in front of him, sample A, sample B, and sample C. Sample A is a straight-chain molecule; sample B is a branched-chain molecule; and sample C is a cyclic molecule. Mark's job is to determine the characteristic... |
The two are unrelated -- a man serving and protecting is unrelated to reminding a computer server and anti-virus
| Yes | esnli | Consider the statement "A man serving and protecting.". Based on this "Reminding a computer server and Anti-virus." a true statement? Yes, no, or I don't know? |
Girl smiles as she holds a brown pottery. is same as smiling girl is holding a brown pot in her hand
| Yes | esnli | Given the statement "A girl wearing a gray shirt and a headband smiles as she holds a brown pottery.", is the statement "The smiling girl is holding a brown pot in her hand" is true?
- Yes
- No
- I don't know |
Just because men squat over a surface resembling a tennis court it does not mean they are are making repairs to the tennis court.
| I don't know | esnli | Given the statement "Four men working outdoors squat over a long, thin, white line on the ground, on a surface resembling a tennis court, with one of the men to the left wearing an orange safety vest.", is the statement "Workers are making repairs to the tennis court." is true?
- Yes
- No
- I don't know |
We note that any integer whose digits' sum is $18=2\cdot9$ is divisible by 9. Therefore, we need to find the largest three-digit number whose digits' sum is 18. That number is $990$. | $990$ | competition-math | What is the largest three-digit multiple of 9 whose digits' sum is 18? |
Antifreeze could also be called “antiboil” because it also raises the boiling point of the water in a car radiator. Hot weather combined with a hot engine can easily raise the temperature of the water in the radiator above 100 °C, which is the boiling point of pure water. If the water boils, it could cause the engine t... | Truck | ropes | Context:
Rob is an auto mechanic. He was checking the radiators of his car and truck. He put antifreeze into the car radiator, but didn't put any antifreeze into the truck radiator. He was wondering how the vehicles would fare in coming hot weather.
Q: Which vehicle would do worse in hot weather and hot engine, car or ... |
Sentence 1: A white male wearing a black shirt pointing to the screen of an oversized blackberry which is roughly the same height as him. Sentence 2: A man laughs at the silly nature of the fake smartphone.
| Unknown | esnli | Context: A white male wearing a black shirt pointing to the screen of an oversized blackberry which is roughly the same height as him.
Hypothesis: A man laughs at the silly nature of the fake smartphone.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
An egg requires warmth to survive.
Egg laying mammals are called monotremes.
Monotremes require warmth for incubation . | B | qasc | Monotremes require what for incubation?
Options:
A) nutrients
B) warmth
C) hormones
D) energy
E) Energy.
F) sunlight
G) heat
H) seeds |
The fact that they are playing football and there is a crowd implies they are in a stadium and threw a pass means passes the ball.
| No | esnli | Given the statement "A football player passes the football to a teammate as the crowd looks on.", is the statement "A football player threw a pass in a stadium." wrong?
- Yes
- No
- Unknown |
African woman in green shirt talking with white man in white shirt at a table with beer does not imply that she takes the order of the man.
| Unknown | esnli | Context: "African woman in green shirt talking with white man in white shirt at a table with beer."
Hypothesis: A woman takes the order of the man.
Based on the context, is the hypothesis true, false, or unknown? |
Global warming and political turmoil are not things that invoke feelings of excitement but instead feelings of fear and uncertainty for the future. | No | FLUTE | Consider the staetement "With global warming and political turmoil I sometimes worry about the future and what it could hold for the future generations.". Based on this statement, is "I'm excited about the future, thanks to beautiful things such as global warming and political turmoil." a true statement? Yes/no/unknown |
Male tennis player prepares a left-handed forehand is same as male tennis player is on a clay court
| Yes | esnli | Given the statement "A male tennis player prepares a left-handed forehand while playing on clay.", is the statement "A male tennis player is on a clay court." is true?
- Yes
- No
- I don't know |
In exercises such as weight lifting, skeletal muscle contracts against a resisting force (see Figure below ). Using skeletal muscle in this way increases its size and strength. In exercises such as running, the cardiac muscle contracts faster and the heart pumps more blood. Using cardiac muscle in this way increases it... | Brown | ropes | Consider the following text:
Two groups of soldiers started different training programs. Blue group did weight training for 3 months, while Brown group ran 3 miles a day for three months. The Captain observed different results on each group.
Which group increased the strength of their cardiac muscle? |
For example, more people on the Earth means more people contributing to global warming and pollution. | a | quartz | Mona lives on a planet with an unstable population. If the number of people on her planet were to increase, what would happen to global warming on her planet?
a. increase
b. decrease |
A: The least common multiple of $6$ and $10$ is $30$. B: Two numbers are relatively prime. C: The least common multiple is $60$, and the greatest common factor is $2$. D: The least common multiple is $48$, and the greatest common factor is $4$. | c | TAL-SCQ5K | Two whole numbers have a least common multiple of $60$. -Each number is less than or equal to $12$. -The greatest common factor of the two number is $2$. What are the two numbers?
Options:
a. $6$ and $10$
b. $5$ and $12$
c. $10$ and $12$
d. $12$ and $16$ |
A toddler implies that the individual is very very young, while just saying he only implies gender as the person can be of any age.A shallow pool also suggest outdoors as indoors is the opposite.
| Yes | esnli | Consider the statement "A toddler catches droplets of water as he sits in a shallow pool.". Is the statement "He is indoors." false? Yes/no/unknown |
The store owner ordered a total of 20 + 30 = 50 cases.
This is equal to 50 x 20 = 1000 bottles of soda. | 1000 | gsm8k | A store owner ordered 20 cases of bottles of soda in April and 30 cases in May. There are 20 bottles per case. How many bottles of soda did the store owner order in April and May? |
the woman must be getting dreads put in if a mans putting it on her. Staring off into the distance can also be staring off into space
| Yes | esnli | Context: A man standing and putting dreads in a women's hair while she stairs off into the distance.
Hypothesis: A woman is getting dreads put in while staring off into space.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Reptiles are a class of tetrapod vertebrates that produce amniotic eggs.
Most reptiles, are considered to be tetrapods, or 4 legged animals.
Reptiles are a class of 4 legged animals that produce amniotic eggs. | Reptiles | qasc | what are a class of 4 legged animals that produce amniotic eggs
Options:
- parasites
- allow growth
- feet
- Reptiles
- to stay warm
- warm-blooded
- insects
- fertile |
We can take out a factor of $i^{14762}$ to get
\[i^{14762} + i^{14763} + i^{14764} + i^{14765} = i^{14762} (1 + i + i^2 + i^3).\]Since $i^2 = -1$ and $i^3 = -i,$
\[1 + i + i^2 + i^3 = 1 + i - 1 - i = 0.\]Therefore, the expression is equal to $0.$ | $0$ | competition-math | Evaluate
\[i^{14762} + i^{14763} + i^{14764} + i^{14765}.\] |
Stands on a side walk implies she was just standing there. While looking to buy a car implies she was not just standing there.
| No | esnli | Context: A woman stands on a sidewalk in front of a picket fence.
Hypothesis: A woman is looking at buying a car.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Just because Four Asian kids sit on a bench and wave and smile to the camera does not indicate that they are waving to the person who is taking pictures.
| Unknown | esnli | Given the statement "Four Asian kids sit on a bench and wave and smile to the camera.", is the statement "Four Asian kids are waving to the person who is taking pictures." wrong?
- Yes
- No
- Unknown |
Trash smells awful and will not protect the garden. | 2 | senmaking | Which of the following two sentences does not make sense?
1) "the yard is enclosed with a wooden fence to protect the garden."
2) "the yard is enclosed with trash to protect the garden." |
Although the girl is pointing to the ocean there in no mention of there being a girl that is in the ocean.
| Unknown | esnli | Context: A young girl is standing on the shore and pointing to the ocean.
Hypothesis: There is a girl that is in the ocean.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
A man wearing a yellow shirt and tan pants plays golf outside does not mean he plays a terrible game
| Unknown | esnli | Given the statement "A man wearing a yellow shirt and tan pants plays golf outside while being watched by other people.", what is the statement "The man plays a terrible game." true?
- Yes
- No
- Unknown |
The first sentence says boys are writing on a sidewalk while the second sentence says girls are writing on a chalkboard.
| Yes | esnli | Consider the statement "Two boys using chalk to write on a sidewalk.". Is the statement "Two girls are writing math problems on a chalkboard." false? Yes/no/unknown |
Just because two girls are laughing doesn't mean they are telling a funny joke. Just because other girls are looking on doesn't mean they hate the two girls.
| Unknown | esnli | Context: Two girls laugh while other girls look on.
Hypothesis: Two girls are laughing about a funny joke, surrounded by people who hate them.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Tropical forests (rainforests) receive more insolation and rainfall over longer growing seasons than any other environment on earth. With these elevated temperatures, insolation and rainfall, biomass is extremely productive leading to the production of as much as 800 grams of carbon per square meter per year. Higher te... | Forest a | ropes | David is an environmental scientist. Last summer he visited the tropical forest in Brazil. He labeled that part of his study as forest A. To understand the differences between forests he then visited the temperate forest in Germany. He labeled that part of his study as forest B. He found significant differences in thes... |
Further heating then adds energy to the liquid particles, increasing their speed, kinetic energy, and temperature. This is the second slope on the curve. Once the particles are energetic enough to completely break free of each other, they start to enter the gas phase. Boiling occurs at the second plateau of this curve,... | Increase | ropes | Context:
James is going camping and decides to really live the experience. He brings only his tent and essentials and sets out into the woods. After pitching camp he remembers he needs to secure water. Luckily there is a stream nearby so he fill s a pot with water and brings it back to his camp. He starts a fire, placi... |
Getting a picture with her friend does not mean the young girl is taking a selfie with a friend to post online.
| Unknown | esnli | Context: "A young Asian girl in a tube top holds out her camera to get a picture with her friend who is making the peace sign." Claim: "A young girl is taking a selfie with a friend to post online."
Considering the context, is the claim true, false, or unknown? |
The man can be either a man in white top and blue jeans or blue shirt and white khakis. One cannot be standing in front of a vendor and jumping into the pool simultaneously.
| No | esnli | Context: A man wearing a white top and blue jeans shorts standing in front of a vendor
Hypothesis: A man in a blue shirt and white khakis just jumped into the pool.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
The second sentence is a less descriptive way of saying a group of people in a plaza decorated with metal art pieces
| Yes | esnli | Consider the staetement "A group of people are sitting in a plaza that is decorated with large hunter green metal art pieces.". Based on this statement, is "People sitting in a plaza decorated by metal art." a true statement? Yes/no/unknown |
Just because someone is laughing does not mean they are enjoying; for example, the laughter could be fake, or hysterical, or theatrical.
| Unknown | esnli | Consider the statement "A man is laughing by seeing something.". Is the statement "A man is enjoying what he is seeing." false? Yes/no/unknown |
Just because a man is playing native drum's doesn't mean he is playing the drums in front of a large crowd.
| I don't know | esnli | Context: A man in a white shirt plays a native looking drum
Hypothesis: A man in a white shirt plays a native looking drum in front of a large crowd.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
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 o... | Ghana | ropes | Two countries were neighbors, separated by a mountain range. Ghana used fossil fuels to produce energy, but one of the consequences of that was increased air pollution and acid rain. Brunei was a country inhabited by nature lovers and tree huggers, so they were very protective of their environment.
Which country had m... |
A week has 7 days | No | feasibilityQA | Tyler was sick and was unable to gym for a few days. Unfortunately, his gym membership will be expiring exactly after 9 weeks.
Question: Is the following statement plausible?
Tyler could visit to the gym for 65 days. |
Jus tbecause a man and woman sit next to each other at a coffee shop, it does not necessarily mean that they are sipping coffee.
| Unknown | esnli | Context: An elderly couple sit next to each other at a coffee shop.
Hypothesis: A man and woman sit sipping coffee.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Just because one man is holding the other man up who is upside down, it doesn't mean he is beating him up.
| Unknown | esnli | Given the statement "Two guys against a wall, one is in black pants and is upside down, the other man is in khaki rolled up pants holding the other one up.", is the statement "A man is beating another man up." wrong?
- Yes
- No
- Unknown |
Sentence 1: A man is holding a hammer in one hand and piece of hot iron. Sentence 2: A man making a knife.
| Unknown | esnli | Context: A man is holding a hammer in one hand and piece of hot iron.
Hypothesis: A man making a knife.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
A girl may not be young a young girl hangs from a basketball hoop does not mean a girl is testing how long she can hang.
| Unknown | esnli | Consider the staetement "A young girl hangs from a basketball hoop while a boy stands underneath.". Based on this statement, is "A girl is testing how long she can hang." a true statement? Yes/no/unknown |
Cholesterol can't dissolve in the blood. It has to be transported to and from the cells by carriers called lipoproteins. Low-density lipoprotein, or LDL, is known as "bad" cholesterol. High-density lipoprotein (HDL) is known as good cholesterol. When too much LDL cholesterol circulates in the blood, it can slowly build... | Manny | ropes | Consider the following text:
Manny and Joe checked their cholesterol levels. Joe found out that his cholesterol levels were within normal parameters, while Manny had very high cholesterol levels and was recommended some lifestyle changes.
Which person had a higher build up of plaque on their arteries? |
Crossing the street requires one to be outside, while staying home to watch a movie is an indoor activity.
| No | esnli | Given the statement "A little girl and a woman wearing colorful costumes, cross the street with another woman wearing a pink skirt and a t-shirt.", is the statement "A mother and daughter decided to stay home and watch movies." is true?
- Yes
- No
- I don't know |
This 6-term geometric series has first term $a_0 = \frac12$ and ratio $\frac12$, so it has value \begin{align*}
\frac{\frac12(1-\left(\frac12\right)^{6})}{1-\frac12} &= 1-\left(\frac12\right)^{6}\\
&= 1-\frac1{64}\\
&= \frac{63{64}}.
\end{align*} | $\frac{63$ | competition-math | Find the sum of the first six terms in the geometric sequence $\frac12,\frac14,\frac18,\dots$. Express your answer as a common fraction. |
Engages and absorbs mean the same thing in this context, which is that her interest in butterflies takes up all of her attention. | True | FLUTE | Context: "Her interest in butterflies engages her completely ." Claim: "Her interest in butterflies absorbs her completely."
Considering the context, is the claim true, false, or unknown? |
The louder the sounds are, the less exposure is needed to cause hearing loss. | decreases | quartz | Jim loves to listen to the radio. If he turns the volume up high the amount of time he can listen to the music before experiencing hearing loss
Options:
- increases
- decreases |
$A:B=3:5$ $B:C=3:2$ $A:B:C=9:15:10$ | [2] | TAL-SCQ5K | If $A:B=3:5$, $B:C=3:2$, find $A:B:C$.
[1] $3:5:4$
[2] $9:15:10$
[3] $9:3:10$
[4] $8:15:10$ |
- Carbon dioxide is a kind of gas
- Baking soda can react chemically with vinegar producing carbon dioxide
- Therefore, baking soda can react chemically with vinegar producing a gas
- Vinegar is a kind of substance
- Baking soda is a kind of substance
- So, combining baking soda and vinegar is combining two substance ... | Vinegar added to baking soda forms a gas. | entailment_bank | Which is an example of a chemical reaction?
- Carbon dioxide is a kind of gas
- Vinegar is a kind of substance
- Vinegar is added into baking soda
- Baking soda is a kind of substance
- Baking soda can react chemically with vinegar producing carbon dioxide |
The diners does not indicate whether they are empty or full of people. The young man doesn't necessarily have to have people around him.
| Unknown | esnli | Given the statement "A young man preparing food with diners in the background", what is the statement "The young man is cooking for the people around him." true?
- Yes
- No
- Unknown |
A family on a flotation device in the ocean doesn't necessary have to be watching the ocean. There is no information about what "it" is and therefore it doesn't mean they are watching what it catches.
| Unknown | esnli | Consider the staetement "An African American family, with a pink flotation device is in clear ocean water.". Based on this statement, is "While at the ocean an African american family with a pink flotation device are watching it to see what it catches" a true statement? Yes/no/unknown |
Play soccer in an empty lot is a different action in a different location to doing chores at their house
| Yes | esnli | Consider the statement "Young South American kids play soccer in an empty lot.". Is the statement "Some kids are doing chores at their house." false? Yes/no/unknown |
A woman can dance for another woman. The man could be looking past her at a nice vehicle, the movie, or for a friend he has been waiting to see.
| Unknown | esnli | Given the statement "A woman dressed in a black top and green skirt dancing, as a man in the background looks on.", is the statement "A woman dances for a man." wrong?
- Yes
- No
- Unknown |
Just because someone is smiling, it does not mean that they are happy. Having a child lying on the sofa does not necessarily imply that they are sick.
| I don't know | esnli | Given the statement "A woman smiles as she cleans the floor with rags while a child lies recumbent on the sofa.", is the statement "A woman smiles and cleans, happy that her child is now not sick any more." is true?
- Yes
- No
- I don't know |
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 divid... | Not decline | ropes | 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 ... |
People mill about the man riding on a motorcycle but that doesn't mean that they are judging him for his life choices.
| Unknown | esnli | Consider the staetement "A man wearing a white helmet and green and black jacket is riding on a bright green and yellow motorcycle, as people mill about him.". Based on this statement, is "A man on his motorcycle zooms past a group of people who are judging him for his life choices." a true statement? Yes/no/unknown |
A man with a long coat walks past a man with many advertising materials, couldn't possibly walk on the beach.
| False | esnli | Context: "A man in a long coat walks past a man with many advertising materials."
Hypothesis: A man walking on the beach.
Based on the context, is the hypothesis true, false, or unknown? |
Amount of material required is directly proportional to the length of wire. | No | feasibilityQA | Kayden is making two wires of same thickness from copper. The amount of copper used in first wire was less than the other wire. The length of the other wire is 6 metre.
Question: Is the following statement plausible?
The length of the first wire could be 7 metres. |
When you go to the dentist to get a tooth pulled, you really don’t want to feel any pain. The dentist injects an anesthetic into your gum and it eventually becomes numb. One theory as to why anesthetics work deals with the movement of ions across the cell membrane. The anesthetic gets into the membrane structure and ca... | Emily | ropes | In a doctor's office, two siblings both are having a small operation performed on their fingers in order to correct an identical injury. The movement of Joe's ions has been disrupted completely, but Emily's ions are still able to move normally.
Which person was not given anesthetic? |
Making these healthy lifestyle choices can also help prevent some types of cancer. In addition, you can lower the risk of cancer by avoiding carcinogens , which are substances that cause cancer. For example, you can reduce your risk of lung cancer by not smoking. You can reduce your risk of skin cancer by using sunscre... | Patient e | ropes | Keith is a doctor at the city hospital. Today, he is seeing six patients, patient A, patient B, patient C, patient D, patient E, and patient F. Patient A is a smoker, but patient B is not a smoker. Patient C uses sunscreen, but patient D does not use any sunscreen. Patient E tans with tanning lamps, but patient F tans ... |
Since 1 hour is 60 minutes, 20 minutes is 20/60=1/3 of an hour.
Eating 3 potatoes per 20 minutes is 3/(1/3)=9 potatoes per hour.
At 9 potatoes per hour, it will take Jason 27/9=3 hours to eat all of the potatoes. | 3 | gsm8k | If Jason eats three potatoes in 20 minutes, how long, in hours, would it take for him to eat all 27 potatoes cooked by his wife? |
$35=5\times 7$ $84=2\times 2\times 3\times 7$ Because $B$ is the factor both number contains, $B=7$ Thus, $A=5$, $C=12$. | C | TAL-SCQ5K | There are three whole number $A$, $B$, $C$. $A\times B=35$, $B\times C=84$. $A+B+C=$~\uline{~~~~~~~~~~}~.
A. $$20$$
B. $$23$$
C. $$24$$
D. $$29$$ |
Just because A man and two woman are riding around on a motor scooter does not indicate that they are a couple
| Unknown | esnli | Context: "A man and two woman are riding around on a motor scooter." Claim: "they are a couple"
Considering the context, is the claim true, false, or unknown? |
Higher percentile means more people scored lower than you. | Yes | feasibilityQA | In a competitive exam for B-Schools, Oliver scored 73 percentile and had 6369 people scoring lesser than him.
Q: Is it true that "Oliver's friend whose percentile was higher than Oliver had 6381 candidates scoring lesser than him." |
The pupil automatically gets bigger or smaller to let more or less light in as needed. | a | quartz | When it is night time the pupils in our eyes are _____ open than normal.
a: more
b: less |
A crowd implies more than one fan, two players cheer, and a fan taking a picture is the same as someone in the crowd because the crowd consists of fans.
| True | esnli | Context: "Several fans are watching a hockey game, while one takes a picture with a telephoto lens, and two players cheer their team on." Claim: "Two hockey players cheer, while a crowd watches and someone in the crowd takes a photo,"
Considering the context, is the claim true, false, or unknown? |
A book is for reading, not keeping track of time. | 2 | senmaking | Choose the sentence that goes against common sense.
1: "a watch is for keeping track of time."
2: "a book is for keeping track of time." |
A couch would be inside and grass would be outside. You can't be relaxing and playing simultaneously.
| No | esnli | Given the statement "Three dogs are playing in the grass.", what is the statement "Some dogs are relaxing on the couch." true?
- Yes
- No
- Unknown |
A man in front of an Asian looking building and waving his arms does not mean he is trying to get someones attention to tell them someone that their door is open
| Unknown | esnli | Context: "A white man in a white and black t-shirt, white khaki pants, and black shades is waving his arms and standing in front of a white fence of what looks like an Asian property with pointy roofs, a red flag on a tall pole, and pink flowers." Claim: "He is trying to get the attention of someone in the property to ... |
A plant's first line of defense against abiotic stress is in its roots. If the soil holding the plant is healthy and biologically diverse, the plant will have a higher chance of surviving stressful conditions.The plant responses to stress are dependent on the tissue or organ affected by the stress. For example, transcr... | Brick | ropes | Context: Two farmers provide a neighboring city with plenty of produce every year. Brick farm has a lot of plant problems, their plants experience abiotic stress. Boulder farm had a good production because their plants presented almost no signs of abiotic stress.
Question: Which farm has more plants displaying a disrup... |
Just because A woman is peddling grain in the market does not imply that she is selling in an outdoor market.
| Unknown | esnli | Context: "A woman is peddling grain in the market."
Hypothesis: The woman is selling in an outdoor market.
Based on the context, is the hypothesis true, false, or unknown? |
Geologists study earthquake waves to “see” Earth's interior. Waves of energy radiate out from an earthquake’s focus. These waves are called seismic waves ( Figure below ). Seismic waves go different speeds through different materials. They change speed when they go from one type of material to another. This causes them... | Vlad | ropes | Two friends met after 20 years and had a beer together. Vlad was a geologist and studied earthquakes. Mort was a pedologist and studied soils. They had some interesting conversations that night.
Based on the above, answer the following question:
Which friend studied more about seismic waves bending? |
Acetylene is used for oxyacetylene welding. An acetylene/oxygen flame burns at about 3,773 K. The star Betelgeuse has a surface temperature of 3,500 K. | Yes | strategyqa | Does welding with acetylene simulate the temperature of a star? |
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