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The person is very thin but that does not mean he or she is anorexic. The person could just have great metabolism.
| Unknown | esnli | Consider the statement "A very thin person is directing traffic in a very congested urban area.". Is the statement "The person is anorexic." false? Yes/no/unknown |
One woman is just one person and can't be considered two people. It is not possible for a person to be riding dirt bikes and riding a skateboard simultaneously.
| Yes | esnli | Given the statement "Two people are riding dirt bikes on a sunny day in a forested area.", is the statement "the woman rode the skateboard" wrong?
- Yes
- No
- Unknown |
Two women is more people than one man. A man is not a woman. The man doesn't smoke while the women smoke.
| Yes | esnli | Given the statement "Two women both wearing white shirts and black pants, one smoking sitting on a fixture on the sidewalk.", is the statement "A man doesn't smoke." wrong?
- Yes
- No
- Unknown |
A crowd of people implies a mass amount of people as where a group of people implies a much smaller number of people.
| False | esnli | Context: "A group of people are passing through the town square." Claim: "The crowd is passing through the arch."
Considering the context, is the claim true, false, or unknown? |
Because there are 2 hockey players with one that has the puck, it is reasonable to assume that the one that has the puck is moving the puck around the rink.
| Yes | esnli | Given the statement "2 hockey players in black gold and white, one has the puck with his stick and is skating.", is the statement "A hockey player moves a puck around the rink." is true?
- Yes
- No
- I don't know |
Just because the couple is a man and a woman, they aren't necessarily husband and wife, and there is no indication they are at a wedding.
| I don't know | esnli | Given the statement "A man and woman couple is dancing with blurry trees in the background.", is the statement "A husband and wife dancing at wedding" is true?
- Yes
- No
- I don't know |
Just because a community on a frozen pond in winter skating around does not indicate that they are playing hockey on a pond.
| Unknown | esnli | Context: A community on a frozen pond in winter skating around.
Hypothesis: People are playing hockey on a pond.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
A girl is adding a vial of blue liquid to a glass container, while another girl looks on does not imply that she does work in chemistry class.
| Unknown | esnli | Consider the statement "A girl is adding a vial of blue liquid to a glass container, while another girl looks on.". Is the statement "A girl does work in chemistry class." false? Yes/no/unknown |
Just because a woman carrying a large stack of wooden crates does not indicate that she is bringing stacks of crates to the market.
| I don't know | esnli | Context: A woman carrying a large stack of wooden crates.
Hypothesis: A woman is bringing stacks of crates to the market.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A man and a little toddler are referred to as people, and kicking a yellow ball indicates they are playing.
| Yes | esnli | Context: a man and a little blond headed toddler are kicking a yellow ball around.
Hypothesis: Some people are playing.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Just because two men running down the road while a fire burns does not indicate that they ran by a fire.
| Unknown | esnli | Consider the staetement "Two men running down the road while a fire burns.". Based on this statement, is "Two men ran by a fire." a true statement? Yes/no/unknown |
设$$\triangle ABC$$的三边分别为$$a,b,c,$$ 由已知$$6\overrightarrow{AC}\cdot \overrightarrow{AB}=2\overrightarrow{AB}\cdot \overrightarrow{BC}=3\overrightarrow{BC}\cdot \overrightarrow{CA}$$， 可得$$6bc\cos A=2ac\cos \left( ~\pi -B \right)=3ab\cos \left( ~\pi -C \right)$$ 即$$6bc\cos A=-2ac\cos B=-3ab\cos C$$， 再利用余弦定理可得$$6bc\cdot \frac{{{b}^{2}}+{{c}^{2}}-{{a}^{2}}}{2bc}=-2ac\cdot \frac{{{a}^{2}}+{{c}^{2}}-{{b}^{2}}}{2ac}=-3ab\cdot \frac{{{a}^{2}}+{{b}^{2}}-{{c}^{2}}}{2ab}$$， 化简可得$${{a}^{2}}=5{{b}^{2}},{{c}^{2}}=2{{b}^{2}},$$ 所以$$\cos A=\frac{{{b}^{2}}+{{c}^{2}}-{{a}^{2}}}{2bc}=-\frac{\sqrt{2}}{2}$$， 故$$A=135{}^{}\circ $$，故选$$\text{D}$$. | (d) | TAL-SCQ5K | 在$$\triangle ABC$$中，已知$$6\overrightarrow{AC}\cdot \overrightarrow{AB}=2\overrightarrow{AB}\cdot \overrightarrow{BC}=3\overrightarrow{BC}\cdot \overrightarrow{CA}$$，则$$\angle A=$$．
(a) $$30{}^{}\circ $$
(b) $$45{}^{}\circ $$
(c) $$60{}^{}\circ $$
(d) $$135{}^{}\circ $$ |
Martin Luther published a list of 95 theses as his critique of the church. There are approximately 182 days in 6 months. | Yes | strategyqa | If Martin Luther did one theses a day would he run out in half a year? |
The total number of panels required is 20*10 = 200 panels.
When 50 failed to be delivered, the total number available for use became 200-50 = 150 panels.
If each home requires 10 panels, the number of homes that had panels installed is 150/10 = 15 homes | 15 | gsm8k | Faith's neighborhood, with a total of 20 homes, decided to install solar panels. Each home needed 10 panels capable of providing their power needs. The supplier of the panels brought 50 panels less than the required amount. The neighbors agreed to only install the panels up to where they'd be finished. How many homes had their panels installed? |
本题主要考查分数的应用， 首先计算出三个人搬仓库用时，再分别计算甲、乙完成了多少， 然后可知丙完成的为$$1$$减去甲的完成量加上$$1$$减去乙的完成量， 再计算丙帮甲、乙分别用时即可， 三个人都搬了同样长的时间， 甲每小时搬$$\frac{1}{6}$$，乙每小时搬$$\frac{1}{7}$$，丙每小时搬$$\frac{1}{14}$$， 三人每小时共可般$$\frac{1}{6}+\frac{1}{7}+\frac{1}{14}=\frac{8}{21}$$， 则搬完两个仓库共要$$2\div \frac{8}{21}=\frac{21}{4}$$时， 即三人都同样工作了$$\frac{21}{4}$$小时， 而$$\frac{21}{4}$$小时内甲完成$$\frac{21}{4}\times \frac{1}{6}=\frac{7}{8}$$， 乙完成$$\frac{21}{4}\times \frac{1}{7}=\frac{3}{4}$$， 即甲有$$\frac{1}{8}$$是丙完成的，乙有$$\frac{1}{4}$$是丙帮忙完成的， 丙帮甲、乙分别用时$$\frac{1}{8}\div \frac{1}{14}=\frac{7}{4}$$时，$$\frac{1}{4}\div \frac{1}{14}=\frac{7}{2}$$小时． 答：丙帮甲、乙分别用时$$\frac{7}{4}$$时、$$\frac{7}{2}小时$$， $$\frac{7}{4}=1\frac{3}{4}$$． 故选$$\text{B}$$． | [2] | TAL-SCQ5K | 有两个同样的仓库，搬运完其中一个仓库的货物，甲需要$$6$$小时，乙需要$$7$$小时，丙需要$$14$$小时．甲、乙同时开始各搬运一个仓库的货物，开始时，丙先帮甲搬运，后来又去帮乙搬运，最后两个仓库的货物同时搬完．丙从一个仓库到另一个仓库的时间忽略不计．则丙帮甲搬了小时．【本题欣赏题】答案：B
Options:
[1] $$1.5$$
[2] $$1\frac{3}{4}$$
[3] $$2$$
[4] $$3\frac{1}{2}$$ |
The fact that a woman is carrying a basket doesn't imply the goods are groceries. The fact that a woman is carrying a basket doesn't imply her goods are from the market.
| I don't know | esnli | Given the statement "A woman is dressed in asian garb with a basket of goods on her hip.", is the statement "A woman is carrying her groceries from the market." is true?
- Yes
- No
- I don't know |
"The group of woman are standing" is a summarized description the groups action in the first sentence "A group of middle-aged women stand at a bus stop; two of the women prepare to board the bus"
| Yes | esnli | Context: A group of middle-aged women stand at a bus stop; two of the women prepare to board the bus.
Hypothesis: The group of woman are standing.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Jolyn is 2 + 5 = 7 months older than Aivo.
Since Leon is 2 months older than Aivo, then Jolyn is 7 - 2 = 5 months older than Leon. | 5 | gsm8k | Four classmates were comparing their ages based on their birth month. They found out that Jolyn is 2 months older than Therese while Therese is 5 months older than Aivo. Then, Leon is 2 months older than Aivo. How much older in months is Jolyn than Leon? |
Smoking causes direct damage to the lungs.
Smoking causes lung cancer.
Cancer is caused by smoking. | (E) | qasc | What causes cancer?
Options:
(A) wind
(B) Roundworms
(C) abstinence
(D) steroids
(E) smoking
(F) lungs
(G) influenza
(H) viruses |
Joe spends 1200+800+3000=5000 dollars.
Joe has 6000-5000=1000 dollars left. | 1000 | gsm8k | Joe saves $6,000 for his trip to Australia. If he spends $1,200 on the flight, $800 on a hotel, and $3,000 on food, how much money, in dollars, does he have left? |
The women's presence at a flea market indicates they are likely looking at merchandise, including shirts.
| No | esnli | Given the statement "Two women, one in a green jacket and another in a black jacket, are looking at shirts at an outside flea market.", is the statement "The two women are at a flea market." wrong?
- Yes
- No
- Unknown |
People standing on a path which overlooks clouds does that mean that they look at anything, much less at a storm coming.
| Unknown | esnli | Context: "A line of people are standing on the edge of a snow covered path overlooking the clouds in the mountains."
Hypothesis: people look at storm coming
Based on the context, is the hypothesis true, false, or unknown? |
Just because that the men are having a conversation does not mean that they are doing so in a room. Conversations can happen in and out of rooms.
| I don't know | esnli | Context: Two old men are having a conversation.
Hypothesis: men are talking in a room.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
The women could be playing music just for themselves, there may not actually be a crowd watching them.
| Unknown | esnli | Given the statement "Women wearing long shirts playing music.", is the statement "Women wearing long shirts playing music for a crowd." wrong?
- Yes
- No
- Unknown |
Radioactive dating is used to determine the age of fossils.
Dinosaurs are the most popular fossils.
Radioactive dating helps figure out the age of dinosaurs found today. | 4 | qasc | How can we figure out how long a dinosaur has been dead?
1) Measure the depth it was found
2) A set number of times
3) It remains dormant
4) Radioactive dating
5) Test the soil it was found in
6) Compare it to other dinosaurs
7) focusing a lens
8) Continents drifting |
Mosquitoes often spread diseases and their bites can be very itchy and annoying so when they attack people while they're trying to enjoy themselves it's understandable to not appreciate it | Yes | FLUTE | Given the statement "I don't like it when mosquitoes attack me while I'm having a good time at the beach", what is the statement "I don't appreciate it when mosquitoes ruin my good time by attacking me while I'm at the beach" true?
- Yes
- No
- Unknown |
$29-2=27$ days later, it will be May $29$\textsuperscript{th}. $27\div7=3R6$, which means May $29$\textsuperscript{th}~is Wednesday. | 2 | TAL-SCQ5K | Given that May $2$nd of a given year is a Thursday, what day is May $29$th of the same year?
1. Saturday
2. Wednesday
3. Thursday
4. Tuesday |
Number of pages in book is directly proportional to the the thickness of the book | No | feasibilityQA | Jameson is preparing for his exam. He is trying to estimate how many pages he has to read from book for courses Physics and History. History book with less number of pages have thickness of 20 units.
Q: Is it true that "Thickness of Physics book could be 15 units." |
Sally made $0.4 * 20=8$ shots originally. Letting $x$ be the number of shots she made, we have $\frac{8+x}{25}=0.52$. Solving for $x$ gives us $x=5$ | (e) | TAL-SCQ5K | After Sally takes 20 shots, she has made $40 \textbackslash\%$ of her shots. After she takes 5 more shots, she raises her percentage to $52 \textbackslash\%$. How many of the last 5 shots did she make? (2004 AMC 8, Question\#6)
(a) $$1$$
(b) $$2$$
(c) $$3$$
(d) $$4$$
(e) $$5$$ |
The Table above includes the ideal mechanical advantage of each class of lever. The mechanical advantage is the factor by which a machine changes the input force. The ideal mechanical advantage is the increase or decrease in force that would occur if there were no friction to overcome in the use of the machine. Because all machines must overcome some friction, the ideal mechanical advantage is always somewhat greater than the actual mechanical advantage of the machine as it is used in the real world. | Lever a | ropes | Context: John designed a hypothetical lever that would have ideal mechanical advantage. He labeled the lever as lever A. He then wanted to compare this lever with a real world lever, which he labeled as lever B. He intended to use these levers to increase force.
Question: Which lever would produce greater increase in force, lever A or lever B? |
People are standing around the bowl, in which a man is manipulating a brown object. This implies the bowl contain the brown object.
| True | esnli | Context: "Several people standing around a bowl, in which one man is manipulating a brown object." Claim: "The bowl contains a brown object."
Considering the context, is the claim true, false, or unknown? |
Something on her head is not necessarily put her hat on and elderly women is not necessarily grandma.
| Unknown | esnli | Given the statement "The child is watching the elderly women put something on her head.", is the statement "The child watches his grandma put her hat on." wrong?
- Yes
- No
- Unknown |
彩灯的排列规律是按照$$12$$盏灯一个循环周期，$$80\div 12=6\cdot \cdot \cdot 8$$，所以第$$80$$盏灯是第$$6$$个周期的第$$8$$个，是蓝灯．$$160\div 12=13\cdot \cdot \cdot 4$$，所以前$$160$$盏灯中有红灯$$13\times 5+4=69$$盏． | B | TAL-SCQ5K | 教室里的彩灯按照$$5$$盏红灯、$$4$$盏蓝灯、$$3$$盏黄灯的顺序循环出现，则前$$160$$盏中有盏红灯．
A. $$65$$
B. $$69$$
C. $$17$$
D. $$70$$ |
The man is different from a man wearing orange and blue and bowling is different from hitting a golf ball
| Yes | esnli | Given the statement "A man wearing orange and blue has just hit a golf ball, as a group in similar uniforms look on.", is the statement "The man is bowling." wrong?
- Yes
- No
- Unknown |
Three individuals are sitting outside on brown benches next to the water implies there are three people are near the water, sitting on benches.
| No | esnli | Context: Three individuals are sitting outside on brown benches next to the water.
Hypothesis: Three people are near the water, sitting on benches.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
A young boy is a boy and squatting on the ground is a brief description of squatting on the ground, surrounded by bushes.
| Yes | esnli | Given the statement "A young boy in a red and white shirt is squatting on the ground, surrounded by bushes.", what is the statement "A boy is squatting on the ground." true?
- Yes
- No
- Unknown |
$$13 + 19 = 32$$; $$32 \div 6 = 5R2$$. There are $$2$$ students left, which means that $$6 - 2 = 4$$ more students are needed to form $6$ teams. | D | TAL-SCQ5K | There is a tournament at the pool. First, $$13$$ children signed up and then another $$19$$ children signed up. Six teams with an equal number of members each are needed for the tournament. At least how many more children need to sign up so that the six teams can be formed?~
Options:
A: $$1$$
B: $$2$$
C: $$3$$
D: $$4$$
E: $$5$$ |
One day work of A and B = 1/12
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/12 + 1/30 + 1/36
2(A + B + C) = 13/90
(A + B + C) = 13/180
Number of days required = 180/13 days. | 180/13 | aqua | A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
180/18
180/15
180/13
180/12
180/11 |
Just because a woman is getting help adjusting her dress does not mean a man is helping her. There is also no evidence the woman is fat just because someone is helping her adjust her dress to fit or that someone is squeezing the lady into a tight dress.
| Unknown | esnli | Context: "A woman is getting help adjusting her dress to fit." Claim: "A man is squeezing the fat lady into a tight dress."
Considering the context, is the claim true, false, or unknown? |
To stream something means to flow continuously and rapidly, while to ebb something means to recede or diminish. | No | FLUTE | Consider the staetement "Her passion is ebbing through the air.". Based on this statement, is "Her passion is streaming through the air." a true statement? Yes/no/unknown |
If seven more rabbits are added to the thirteen in the cage, the total number becomes 7+13 = 20
Triple the number of rabbits in the cage is 3*20 = 60, the same as the number of rabbits that Jasper saw at the park today. | 60 | gsm8k | If seven more rabbits are added to the thirteen in the cage, the number of rabbits in the cage will be 1/3 the number of rabbits Jasper saw in the park today. How many rabbits did Jasper see in the park today? |
Apex predators can have profound effects on ecosystems, as the consequences of both controlling prey density and restricting smaller predators, and may be capable of self-regulation. They are central to the functioning of ecosystems, the regulation of disease, and the maintenance of biodiversity. When introduced to subarctic islands, for example, Arctic foxes' predation of seabirds has been shown to turn grassland into tundra. Such wide-ranging effects on lower levels of an ecosystem are termed trophic cascades. The removal of top-level predators, often through human agency, can cause or disrupt trophic cascades. For example, reduction in the population of sperm whales, apex predators with a fractional trophic level of 4.7, by hunting has caused an increase in the population of large squid, trophic level over 4 (carnivores that eat other carnivores). This effect, called mesopredator release, occurs in terrestrial and marine ecosystems; for instance, in North America, the ranges of all apex carnivores have contracted whereas those of 60% of mesopredators have grown in the past two centuries. | Case b | ropes | Consider the following text:
John was studying the species in Siberia. He found that the Siberian tiger is an apex predator. It had a pretty stable population during the sixteenth century. He noted that information as case A. Then with the introduction of guns the number of Siberian tigers decreased in the seventeenth century. He noted that information as case B.
In which case the number of mesopredators would increase, case A or case B? |
Just because the Volunteers are meeting with the locals that does not mean they came from out of state.
| Unknown | esnli | Context: "Volunteers meeting with the locals."
Hypothesis: Volunteers meeting with the locals came from out of state.
Based on the context, is the hypothesis true, false, or unknown? |
We have no idea the man is trying to make money, he could just be doing it for fun or other reasons.
| I don't know | esnli | Consider the statement "Man does a trick flipping over several people lined up at a street fair.". Based on this "A man is doing tricks outside for money." a true statement? Yes, no, or I don't know? |
Just because a young male who appears to be in his late 20's or early 30's is smiling while about to bite into a sandwich does not mean it is a roast beef sandwich.
| Unknown | esnli | Context: A young male who appears to be in his late 20's or early 30's is smiling while about to bite into a sandwich.
Hypothesis: The man is eating a roast beef sandwich.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
If someone is preparing to drag race then that means that people are going to wait for the car to race
| Yes | esnli | Given the statement "A funny car is preparing to drag race while people look.", what is the statement "People wait for the car to race." true?
- Yes
- No
- Unknown |
The Easter Bunny is a symbol of the Christian holiday of Easter. Easter occurs in March or April each year. | No | strategyqa | Is the Easter Bunny popular in September? |
Guys are not women, two is not the same as three. Playing a game called the matrix is not the same as sunbathing.
| No | esnli | Context: Two Guys are on the beach playing what it looks like matrix.
Hypothesis: Three women on the beach are sunbathing.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A person waving on a street may not be asking for a ride. She could be waving to someone she knows in a vehicle, or on the other side of the street.
| Unknown | esnli | Context: "A girl is standing in the street waving her arm as cars pass by." Claim: "There is a person waving to people for a ride"
Considering the context, is the claim true, false, or unknown? |
Although some lipids in the diet are essential, excess dietary lipids can be harmful. Because lipids are very high in energy, eating too many may lead to unhealthy weight gain. A high-fat diet may also increase lipid levels in the blood. This, in turn, can increase the risk for health problems such as cardiovascular disease. The dietary lipids of most concern are saturated fatty acids, trans fats, and cholesterol. For example, cholesterol is the lipid mainly responsible for narrowing arteries and causing the disease atherosclerosis. | Group b | ropes | Context: Two groups of people were part of a science study. Group A ate lots of fats(lipids), while Group B had a more balanced diet with few fats. Group A gained a lot of weight over the course of the 6 month study.
Question: Which group had ingested less cholesterol? |
Hanging on a line or hanging things on a line doesn't always means you are hanging laundry because you can also hang other objects.
| Unknown | esnli | Context: "Third-world child in street with colorful clothes hanging on line."
Hypothesis: The child is hanging up laundry.
Based on the context, is the hypothesis true, false, or unknown? |
: The sight of people eating cockroaches is revolting and disgusting and so someone almost smiling at it cannot be possible. | No | FLUTE | Given the statement "I was watching a TV show where people were eating cockroaches, I wanted to throw up.", what is the statement "I almost smiled when I saw people eating cockroaches on TV." true?
- Yes
- No
- Unknown |
The soccer team must be playing a match since there are some girls wearing a white shirt with green shorts and another girl wearing a red and white shirt.
| Yes | esnli | Given the statement "Two girls are playing soccer and one is wearing a white shirt with green shorts showing the number 4, while the other girl is wearing a red and white shirt.", is the statement "A soccer team plays a match." is true?
- Yes
- No
- I don't know |
Man is walking down the street and a woman is in the opposite direction means man walks down the street opposite of a woman
| Yes | esnli | Context: A man is walking down the street with a backpack and a woman is riding her bike in the opposite direction.
Hypothesis: A man walks down the street opposite of a woman.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
The first few terms of the sequence are
\[2005, 133, 55, 250, 133.\]Since each term depends only on the previous term, and the fifth term coincides with the second term, the sequence becomes periodic, with period 3.
Therefore, the 2005th term is equal to the 4th term, which is $250.$ | $250$ | competition-math | The first term of a sequence is $2005$. Each succeeding term is the sum of the cubes of the digits of the previous term. What is the ${2005}^{\text{th}}$ term of the sequence? |
Just because two men are conversing doesn't mean they are also being filmed. The two people being filmed may actually be women or a man and woman.
| Unknown | esnli | Context: "Two people being filmed having a conversation." Claim: "Two men are conversing."
Considering the context, is the claim true, false, or unknown? |
A woman is a person, a bikini is a swimsuit and a taking one's own picture with cellphone is known as a selfie.
| No | esnli | Consider the statement "A woman in a very very skimpy bikini takes her own picture with her cellphone.". Is the statement "A person in a swimsuit takes a selfie." false? Yes/no/unknown |
If the woman is behind a range with pancakes on it, she is most likely the one cooking the pancakes.
| Yes | esnli | Given the statement "A woman wearing all pink is standing behind a range with pancakes on it.", what is the statement "A pink-clad woman cooks pancakes." true?
- Yes
- No
- Unknown |
Let $x$ be the probability that we want. Since the sum of the four probabilities is 1, we have the equation $1 = \frac{3}{8} + \frac{1}{4} + x + x = \frac{5}{8} + 2x$. Solving the equation $1=\frac{5}{8} + 2x$ gives $x=\frac{3{16}}$. | $\frac{3$ | competition-math | A board game spinner is divided into four regions labeled $A$, $B$, $C$, and $D$. The probability of the arrow stopping on region $A$ is $\frac{3}{8}$, the probability of it stopping in $B$ is $\frac{1}{4}$, and the probability of it stopping in region $C$ is equal to the probability of it stopping in region $D$. What is the probability of the arrow stopping in region $C$? Express your answer as a common fraction. |
Surveillance cameras can be built into light socket covers that look no different from a normal one. Surveillance cameras can be installed in special light bulbs to document activity in a room. | Yes | strategyqa | Is video surveillance of a room possible without an obvious camera or new item? |
The activities described could occur in a number of settings so it is not certain they are performing at the open theater in the park.
| Unknown | esnli | Context: "Three men with mouths open and one is holding a fake sword"
Hypothesis: They are performing at the open theater in the park
Based on the context, is the hypothesis true, false, or unknown? |
As a young man, Bohr worked in Rutherford’s lab in England. Because Rutherford’s model was weak on the position of the electrons, Bohr focused on them. He hypothesized that electrons can move around the nucleus only at fixed distances from the nucleus based on the amount of energy they have. He called these fixed distances energy levels, or electron shells. He thought of them as concentric spheres, with the nucleus at the center of each sphere. In other words, the shells consisted of sphere within sphere within sphere. Furthermore, electrons with less energy would be found at lower energy levels, closer to the nucleus. Those with more energy would be found at higher energy levels, farther from the nucleus. Bohr also hypothesized that if an electron absorbed just the right amount of energy, it would jump to the next higher energy level. Conversely, if it lost the same amount of energy, it would jump back to its original energy level. However, an electron could never exist in between two energy levels. These ideas are illustrated in the Figure below . | Cat a | ropes | Consider the following text:
Greg was studying Bohr's model. He found it helpful to categorize different scenarios in the model. First, he labeled electron with higher energy as cat A, and electron with lower energy as cat B. Then he labeled electron that gained energy as cat C, and election that lost energy as cat D.
Which electron would be farther from the nucleus, cat A or cat B? |
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 graze on algae. Still others are decomposers. They consume dead organic matter. There are also parasitic protozoa that live in or on living hosts. For example, the protozoan that causes malaria lives inside a human host. For their part, protozoa are important food sources for many larger organisms, including insects and worms. | Brad | ropes | Consider the following text:
Reed started studying protozoa and was more interested in the predatorial behaviors of protozoa, while Brad wanted to know more about other types of protozoa, suck as grazers and decomposers.
Which person learned less about protozoa keeping bacterial populations in check? |
The woman cannot be holding a golf club and a bottle of water, and be in a public place and on the course at the same time
| Yes | esnli | Context: A woman in a public place wearing a yellow tank top holding a bottle of water looking over her shoulder
Hypothesis: Woman holding a golf club, about to take a huge swing on the course.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Just because a man is standing next to a BMW does not mean that he is working a slimjim into the window.
| Unknown | esnli | Context: "A man is standing next to a BMW."
Hypothesis: A man is standing next to a bmw and working a slimjim into the window.
Based on the context, is the hypothesis true, false, or unknown? |
A woman taking a ball is stated in both, the details are left out and it's rewritten more concisely.
| Yes | esnli | Context: At the beach, a barefoot woman in a black skirt steals the red ball from a man in green shorts.
Hypothesis: a woman takes a ball
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Using scissors on lips would be dangerous and bloody, and lips don't need trimming. | b | senmaking | One of the following sentences is nonsensical. Which one is it?
a) "the barber trimmed his hair with scissors"
b) "the barber trimmed his lips with scissors" |
Plants that shed their leaves seasonally each year are called deciduous plants.
All trees are in the kingdom plantae, the plants.
Members of the kingdom plantae that shed their leaves seasonally each year are called deciduous. | h | qasc | Members of what kingdom that shed their leaves seasonally each year are called deciduous.
Options:
a) Fungi
b) Winter
c) air cools
d) vegetation
e) Animalia
f) Protista
g) epidermal
h) Plantae |
It is not a good thing when a car battery dies because it means that the owner has to take it to a mechanic and pay for a replacement, so finding out that the car battery died because of something the owner did is not cause for elation. | Yes | FLUTE | Context: I accidentally left the lights on in my car and killed the battery
Hypothesis: I was really elated when I found out my car battery died because of me leaving the lights on
Is the hypothesis incorrect? (Yes, no, or unknown)? |
We do not know that the man throws his body off the bicycle seat as there are other bike tricks that don't involve that action
| Unknown | esnli | Consider the statement "A young man high in the air performing a bicycle stunt.". Is the statement "The young man throws his body off the bicycle's seat while in the air." false? Yes/no/unknown |
Even though the man is holding a phone to his face it cannot be inferred he is making a phone call.
| Unknown | esnli | Given the statement "A man in a black hat is holding a cellular phone in front of his face.", what is the statement "The man is making a phone call." true?
- Yes
- No
- Unknown |
Mail carriers work throughout the year independent of the weather. Mail carriers must often leave their vehicle in various weather conditions. | Yes | strategyqa | Do mail carriers need multiple uniforms? |
There is no mention of whether the girl is swimming or floating and there is no mention of being in a pool.
| Unknown | esnli | Given the statement "The little girl is wearing a floating device in the water.", what is the statement "The child is swimming in a pool." true?
- Yes
- No
- Unknown |
Although the people are pictured performing at a concert we are not told that they are a country band or that they are playing at a festival.
| Unknown | esnli | Given the statement "A lead singer and a guitarist are pictured in this concert photo performing one of their songs.", is the statement "A singer and guitarist for a country band play at a festival." wrong?
- Yes
- No
- Unknown |
The person is either sitting down, taking a cigarette break, or is standing up, while they are eating, cooking, and smoking.
| No | esnli | Context: A person sitting down and taking a cigarette break.
Hypothesis: Eating while cooking and smoking with standing
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
In both sentences, an old man is described to be sleeping in the grass. The second sentence just has less detail.
| Yes | esnli | Consider the staetement "An older man with a graying beard, possibly a homeless person, sleeps on the grass in front of an ancient tree in a public park.". Based on this statement, is "An old man is sleeping the grass." a true statement? Yes/no/unknown |
A clap of thunder is a sudden, loud noise that startles people, so the man sitting there is startling and shocking. | Yes | FLUTE | Given the statement "It's shocking to see a man in the office when I step in.", what is the statement "When I step into the office, the sight of a man sitting there is like a clap of thunder in the quiet room." true?
- Yes
- No
- Unknown |
A black cat is not a woman, while the cat is napping on a windowsill, the woman is cleaning a windowsill..
| False | esnli | Context: "A young dark-haired woman cleaning a windowsill." Claim: "A black cat is napping on a windowsill."
Considering the context, is the claim true, false, or unknown? |
A women sitting looking at her food. A man standing next to the table is a form of man and a woman out to eat separately.
| Yes | esnli | Consider the staetement "A women sitting at a fancy table looking at her food. A man standing next to the table.". Based on this statement, is "A man and a woman out to eat separately." a true statement? Yes/no/unknown |
The people by a building are wearing red and are standing outside of a beautiful oriental building.
| Yes | esnli | Consider the statement "Two people wearing red are standing outside of a beautiful oriental building.". Based on this "The people are by a building." a true statement? Yes, no, or I don't know? |
A person who is washing their hands in a faucet may be a man or a women, and they might be washing their hands for a number of reasons, not just because it is before dinner.
| Unknown | esnli | Given the statement "Someone washing their hands in a faucet", what is the statement "A man is washing his hands before dinner." true?
- Yes
- No
- Unknown |
Amphibians have a relatively complex circulatory system with a three-chambered heart.
Frogs, toads and salamanders are amphibians.
Frogs, toads and salamanders have a relatively complex circulatory system with a three-chambered heart. | g | qasc | What sort of circulatory system do frogs, toads, and salamanders share?
a) live birth
b) It helps them survive
c) matter vibrating
d) two-chambered heart
e) Veins and arteries.
f) biological diversity
g) three-chambered heart
h) four-chambered heart |
Just because looking from above through electrical wires at people walking around in a plaza does not mean the people does not mean THe people walk around the plaze.
| Unknown | esnli | Context: "Looking from above through electrical wires at people walking around in a plaza."
Hypothesis: THe people walk around the plaze
Based on the context, is the hypothesis true, false, or unknown? |
A married, left handed woman wearing a long-sleeved red shirt is applying makeup in mirror does not necessary that she is getting ready to go on a date.
| I don't know | esnli | Consider the statement "A married, left handed woman wearing a long-sleeved red shirt is applying makeup in mirror.". Based on this "A woman is getting ready to go on a date." a true statement? Yes, no, or I don't know? |
Depleted soils can be protected from soil erosion by groundcover plants such as naturally growing grasses in agroforestry systems. These help to stabilise the soil as they increase cover compared to short-cycle cropping systems. Soil cover is a crucial factor in preventing erosion. Cleaner water through reduced nutrient and soil surface runoff can be a further advantage of agroforestry. The runoff can be reduced by decreasing its velocity and increasing infiltration into the soil. Compared to row-cropped fields nutrient uptake can be higher and reduce nutrient loss into streams.Further advantages concerning plant growth: | Fruit | ropes | Dan, a renowned pedologist, visited two farms near his home town. Grape farm had depleted soils and a low crop production, while Fruit farm, having parcels with depleted soils in the past, established an agroforestry system starting a decade ago which helped stabilize soil and increase production.
Based on the above, answer the following question:
Which farm protected more soil from soil erosion? |
$\frac{200 \text{ pages}}{17 \text{ pages per minute}} \approx 12$ minutes. | $12$ | competition-math | A printer prints 17 pages per minute. How many minutes will it take to print 200 pages? Express your answer to the nearest whole number. |
Wildfires occur when all the necessary elements of a fire triangle come together in a susceptible area: an ignition source is brought into contact with a combustible material such as vegetation, that is subjected to enough heat and has an adequate supply of oxygen from the ambient air. A high moisture content usually prevents ignition and slows propagation, because higher temperatures are needed to evaporate any water in the material and heat the material to its fire point. Dense forests usually provide more shade, resulting in lower ambient temperatures and greater humidity, and are therefore less susceptible to wildfires. Less dense material such as grasses and leaves are easier to ignite because they contain less water than denser material such as branches and trunks. Plants continuously lose water by evapotranspiration, but water loss is usually balanced by water absorbed from the soil, humidity, or rain. When this balance is not maintained, plants dry out and are therefore more flammable, often a consequence of droughts.A wildfire front is the portion sustaining continuous flaming combustion, where unburned material meets active flames, or the smoldering transition between unburned and burned material. As the front approaches, the fire heats both the surrounding air and woody material through convection and thermal radiation. First, wood is dried as water is vaporized at a temperature of 100 °C (212 °F). Next, the pyrolysis of wood at 230 °C (450 °F) releases flammable gases. Finally, wood can smoulder at 380 °C (720 °F) or, when heated sufficiently, ignite at 590 °C (1,000 °F). Even before the flames of a wildfire arrive at a particular location, heat transfer from the wildfire front warms the air to 800 °C (1,470 °F), which pre-heats and dries flammable materials, causing materials to ignite faster and allowing the fire to spread faster. High-temperature and long-duration surface wildfires may encourage flashover or torching: the drying of tree canopies and their subsequent ignition from below.Wildfires have a rapid forward rate of spread (FROS) when burning through dense uninterrupted fuels. They can move as fast as 10.8 kilometres per hour (6.7 mph) in forests and 22 kilometres per hour (14 mph) in grasslands. Wildfires can advance tangential to the main front to form a flanking front, or burn in the opposite direction of the main front by backing. They may also spread by jumping or spotting as winds and vertical convection columns carry firebrands (hot wood embers) and other burning materials through the air over roads, rivers, and other barriers that may otherwise act as firebreaks. Torching and fires in tree canopies encourage spotting, and dry ground fuels around a wildfire are especially vulnerable to ignition from firebrands. Spotting can create spot fires as hot embers and firebrands ignite fuels downwind from the fire. In Australian bushfires, spot fires are known to occur as far as 20 kilometres (12 mi) from the fire front.Especially large wildfires may affect air currents in their immediate vicinities by the stack effect: air rises as it is heated, and large wildfires create powerful updrafts that will draw in new, cooler air from surrounding areas in thermal columns. Great vertical differences in temperature and humidity encourage pyrocumulus clouds, strong winds, and fire whirls with the force of tornadoes at speeds of more than 80 kilometres per hour (50 mph). Rapid rates of spread, prolific crowning or spotting, the presence of fire whirls, and strong convection columns signify extreme conditions.The thermal heat from wildfire can cause significant weathering of rocks and boulders, heat can rapidly expand a boulder and thermal shock can occur, which may cause an object's structure to fail. | Less | ropes | David is an environmental scientist. He needed to find causes of wildfires and suggest preventive measures. First, he visited a dense forest. He marked it as location A. Then he visited a grassland, which he marked as location B. After that, he visited a location where he did not find any sign of drought. He marked it as time A. He then visited the same location a year later, and found that the place was facing a severe drought. He marked it as time B.
Would location A be less or more susceptible to wildfires than location B? |
Sunbathing near the ocean cannot be inferred from sentence 1 because there is no geographical location of the beachgoers nor any indication they are sunbathing.
| I don't know | esnli | Consider the statement "Several beachgoers are reclining near upside-down boats.". Based on this "several beachgoers sunbathe near the ocean" a true statement? Yes, no, or I don't know? |
Going by the ratio, for every 1 part that Amy gets, Sandra will get 2 parts
Since Amy got $50, Sandra will get 2*$50 = $100 | 100 | gsm8k | Sam shared a sum of money between his three cousins Sandra, Amy and Ruth in the ratio 2:1:3 respectively. If Amy got $50, how much did Sandra get? |
She spent 4 x $1.50 = $6 for the lollipops.
She also spent 2 x $2 = $4 for the gummies.
Therefore, Chastity was left with $15 - $10 = $5 | 5 | gsm8k | Chastity bought 4 lollipops which cost $1.50 each, and she also bought 2 packs of gummies which cost $2 each. If she has $15, how much was she left with after spending on the candies? |
The sun is gathering in the sky, and he is lying down in front of it. | Yes | FLUTE | Consider the staetement "He lay down in front of the rising sun.". Based on this statement, is "He lay before the gathering sun." a true statement? Yes/no/unknown |
For example, if a solid pellet of NaOH is placed into a chamber of HCl gas, a relatively slow acid-base reaction will occur between gaseous HCl molecules and hydroxide ions on the surface of the pellet. If we were to grind the pellet into smaller pieces, it would greatly increase the total surface area, and therefore the overall reaction rate. Once ground up, many hydroxide ions that were on the interior of the pellet, where they were not exposed to any HCl molecules, will now be on the surface, where the necessary collisions can occur. | Smaller | ropes | Consider the following text:
In his chemistry lab David is experimenting with how NaOH and HCl gas reacts with each other. He conducted two experiments, experiment A and experiment B. In experiment A he used solid pellets of NaOH, but in experiment B he used ground NaOH. He was surprised to see the difference it made in his experiment.
Would experiment A's hydroxide have smaller or larger surface area than experiment B's hydroxide? |
The more basic a solution is, the closer its pH value will be to 14. | acidic | quartz | Ian decreases the pH of his water. Its pH value becomes more
Options:
- acidic
- basic |
Someone conservatively-dressed generally does not have a mohawk or cargo pants, and if her arm is around him it would be impossible for them to be holding hands.
| No | esnli | Given the statement "A lady standing wearing black and has a black mohawk has her arm around a guy with a brown bucket hat, green cargo pants and black shirt.", what is the statement "A very conservatively-dressed couple are holding hands outside a train station." true?
- Yes
- No
- Unknown |
Length of fence for circular garden is directly proportional to radius | Yes | feasibilityQA | Context: Nathan's friend Tom, suggested him to install a new fence to his two circular shaped gardens because Tom found some broken fence wires. Nathan required 40 length of fence for garden with larger radius.
Question: "Length of the fence required for other garden could be 37 units." -- Is this statement true? |
A small group of people can be any ages, while a group of kids is made of kids. There is a difference between a painting and an artistic water fountain.
| Yes | esnli | Consider the statement "A small group of people look at an artistic water fountain.". Is the statement "A group of kids look at a painting." false? Yes/no/unknown |
Misty's favorite number is 3 times smaller than Glory's, meaning her favorite number is 450 / 3 = 150
The sum of their favorite numbers is 150 + 450 = 600 | 600 | gsm8k | Misty's favorite number is 3 times smaller than Glory's favorite number. If Glory's favorite number is 450, what's the sum of their favorite numbers? |
The phrase young children is indicative of particular age range where "children" could be of any age. "standing in hall." specifies being inside a building or structure of some form, where "feet on the ground" could also mean, "outside".
| No | esnli | Consider the statement "Two young children are standing in hall.". Is the statement "The children have their feet on the ground." false? Yes/no/unknown |
A palindrome is a word that reads the same backwards and forwards like madam. CAPTCHA stands for: Completely Automated Public Turing test to tell Computers and Humans Apart. | No | strategyqa | Are any of the words that CAPTCHA stands for palindromes? |
To harmonize something means to bring it into agreement or to make it compatible, while to disrupt something means to interfere with it or to cause it to become disorganized. | No | FLUTE | Context: Disrupt one's goals with one's abilities.
Hypothesis: Harmonize one's goals with one's abilities.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
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