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$$8\textbackslash\%=0.08$$， But $$\frac{8}{10}=0.8$$． So, the answer is $$\text{C}$$． | 3 | TAL-SCQ5K | Which of the following number is different from the others．
Options:
1) $$0.08$$
2) $$8\textbackslash\%$$
3) $$\frac{8}{10}$$
4) Eight percents |
A carriage ride through the park would constitute a nice evening in a park. This is a necessary condition.
| Yes | esnli | Consider the staetement "A group of people going on a carriage ride through a park.". Based on this statement, is "People enjoying a nice evening in the park." a true statement? Yes/no/unknown |
A dog running in a field may not necessarily be a lab breed, and it's tounge may not be hanging out.
| Unknown | esnli | Given the statement "A dog runs on a field with its mouth open.", what is the statement "A lab runs on a field with an open mouth and tongue hanging out." true?
- Yes
- No
- Unknown |
Assume the total amount of problems is 100 per half homework assignment, since we are dealing with percentages, and not values. Then, we know that Chloe got 80 problems correct by herself, and got 176 problems correct overall. We also know that Zoe had 90 problems she did correct alone. We can see that the total amount of correct problems Chloe and Zoe did was $176-80=96$. Therefore Zoe has $96+90=186$ problems out of 200 problems correct. This is (C) $93$ percent. | $$93$$ | TAL-SCQ5K | Chloe and Zoe are both students in Ms. Demeanor\textquotesingle s math class. Last night they each solved half of the problems in their homework assignment alone and then solved the other half together. Chloe had correct answers to only $80 \textbackslash\%$ of the problems she solved alone, but overall $88 \textbackslash\%$ of her answers were correct. Zoe had correct answers to $90 \textbackslash\%$ of the problems she solved alone. What was Zoe\textquotesingle s overall percentage of correct answers? (2017 AMC 8, Question \#14)
* $$89$$
* $$92$$
* $$93$$
* $$96$$
* $$98$$ |
A person is a woman and she is carrying a pink backpack on her back and walking along a busy street.
| Yes | esnli | Context: A person is walking on a busy street while wearing a backpack.
Hypothesis: A woman with a pink backpack walking along a busy street.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
The total ratio representing the age of the three siblings is 4+3+7 = 14
Halima's age is represented by the fraction 4/14, which means she is 4/14*126 = 36 years old.
Beckhams age, from the total age of the three, is 3/14*126 = 27
The difference in age between Halima and Beckham is 36-27 = 9 | 9 | gsm8k | The ratio representing the age of Halima, Beckham, and Michelle is 4:3:7, respectively. If the total age for the three siblings is 126, calculate the age difference between Halima and Beckham. |
In the first sentence, an action is occurring between two men, while in the second, the action occurs between an animal and a man. One cannot be both a man and a cat simultaneously.
| No | esnli | Consider the statement "A man in blue is interviewing a man in a suit.". Based on this "A cat is looking for a man, does not find one." a true statement? Yes, no, or I don't know? |
The Asian lady leaving her husband is not the same as being with her luggage. She could be there for any reason.
| I don't know | esnli | Context: An Asian woman with her luggage in a train station.
Hypothesis: A lady leaving her husband.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A child would not be elderly. A man and would would be two people instead of just one. Observing a wooden contraption is not the same was watching TV.
| False | esnli | Context: "An elderly man and woman observe a wooden contraption with a tube."
Hypothesis: A child is watching TV
Based on the context, is the hypothesis true, false, or unknown? |
The fact that a woman is playing volleyball with a young girl doesn't necessarily imply the girl is her daughter.
| I don't know | esnli | Consider the statement "a young girl and a woman play volleyball with a beach ball.". Based on this "A woman and her daughter use a beach ball to play volleyball." a true statement? Yes, no, or I don't know? |
Add $x$ and subtract 8 from both sides to find that $x=5-8=-3$. | $-3$ | competition-math | Solve for $x$: $5 - x = 8$. |
To use the sword to imitate playing a violin may not be because he does not own a violin. He may be preparing for a play.
| Unknown | esnli | Given the statement "Man holding a sword like a violin and stroking a violin bow across it.", what is the statement "A man strokes a violin bow across a sword because he doesn't own a violin." true?
- Yes
- No
- Unknown |
Two men taking pictures could not simultaneously be sketching in sketchbooks. An automobile is not identical to a lamp post.
| Yes | esnli | Consider the statement "Two men are taking pictures while standing beside an automobile.". Is the statement "Two men sketch in sketchbooks next to a lamp post." false? Yes/no/unknown |
Tom’s rabbit is 8 / 2 = 4 years old.
His dog is 4 x 3 = 12 years old. | 12 | gsm8k | Tom’s cat is 8 years old. His rabbit is half the age of his cat. His dog is three times as old as his rabbit. How old is the dog? |
Two people cannot be three people simultaneously nor can people be on the side of a lake and indoors simultaneously.
| No | esnli | Context: Two men and one woman are having a rock skipping contest on the side of a lake.
Hypothesis: Three people are enjoying dinner indoors.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Gathering means having people come to gathered and it is the opposite than someone sitting by himself.
| No | esnli | Consider the staetement "People gathered in an artist's studio.". Based on this statement, is "an artist by himself thinking" a true statement? Yes/no/unknown |
Plant reproduction requires pollination.
Pollination is an intricate series of events which ultimately results in plant reproduction.
Pollination is an intricate series of events leads to plant propagation. | [C] | qasc | What does the intricate event of pollination help plants do?
Options:
[A] survival
[B] gene flow
[C] propagate
[D] reproduce
[E] spread seeds
[F] root death
[G] water storage
[H] growth |
Stating that a girl in a leotard dances simplifies the first sentence which involves two girls in black and red leotards performing two separate actions.
| No | esnli | Given the statement "A girl in a black leotard dances while a girl in a red leotard and torn stockings watching in the middle of a street.", is the statement "The girl in the leotard is dancing." wrong?
- Yes
- No
- Unknown |
Leaning into an equipment box to fix it is different way of saying trying to fix it by leaning into the equipment box.
| No | esnli | Given the statement "Man trying to fix a train by leaning into the equipment box.", is the statement "A man is leaning into an equipment box to fix it." wrong?
- Yes
- No
- Unknown |
Just because a boy is standing open mouthed does not mean he is excited. You also can not assume the boy is about to go swimming just because he is on the steps that lead down to the water.
| Unknown | esnli | Consider the staetement "A boy is standing open mouthed on the steps that lead down to the water.". Based on this statement, is "The boy is so excited to go swimming." a true statement? Yes/no/unknown |
A man in a white outfit can is the musician and playing a guitar on stage implies performing on stage.
| No | esnli | Given the statement "A man in an all white outfit plays guitar on stage.", is the statement "A musician is performing on stage" wrong?
- Yes
- No
- Unknown |
A woman may present a medal to a stranger, or to someone who is an acquaintance. The act of presenting a medal implies nothing about a relationship.
| Unknown | esnli | Context: "A woman presenting a medal to what appears to be a soldier."
Hypothesis: They're stranger and have never crossed paths.
Based on the context, is the hypothesis true, false, or unknown? |
Physical movements and snowboarding have no relevance to the environment and physical surroundings such as rocks being hard.
| Unknown | esnli | Consider the statement "A snowboarder in a green jacket catches some air.". Is the statement "the rocks were hard" false? Yes/no/unknown |
Ecologically, the expansion of drainage systems has had tremendous negative effects. Hundreds of thousands of wetland species experienced significant population declines as their habitat was increasingly fragmented and destroyed. Although market hunting within the Central Flyway was a contributing factor in the decline of many waterfowl species' numbers in the early decades of the twentieth century, loss of breeding habitat to agricultural expansion is certainly the most significant. Early maps of midwestern states depict many lakes and marshes that are either nonexistent or significantly reduced in area today. Channelization, a related process of concentrating and facilitating the flow of water from agricultural areas, also contributed to this degradation. | Timber | ropes | Context: Timber village started a channelization process by draining all the swamps near their village. Hill village situated 10 miles to the south, left their swamps untouched.
Question: Which village took a less protective approach towards the environment? |
In 12s the train crosses the pole and in 27 sec the train crosses one more stationary train
In 15 sec the train travels a distance of 300 mtrs
Speed = 300/15 = 20 m/s = 20 (3600/1000) = 20 * 18/5 = 72 kmph | (E) | aqua | A Train requires 12 seconds to pass a pole while it requires 27 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.
(A) 60 kmph
(B) 75 kmph
(C) 80 kmph
(D) 85 kmph
(E) 72 kmph |
- Color is a property of something that describes how that something looks
- An example of camouflage is an organism looking like its environment
- Hence, an example of camouflage is an organism having the same color as its environment
- Some environments change colors
- A chameleon can change colors
- Therefore, a chameleon and its environment can change colors
- An example of camouflage is an organism having the same color as its environment
- A chameleon and its environment can change colors
- Therefore, an example of camouflage is an organism changing into the color of the environment
- An example of camouflage is an organism changing into the color of the environment
- An animal is a kind of organism
- So, an example of camouflage is an animal changing into the color of its environment
- The statement "The water was boiled " is irrelevant
- An example of camouflage is an animal changing into the color of its environment
- Camouflage is used for hiding by animals from predators
- So, changing colors can be used by animals to hide from predators
- Changing colors can be used by animals to hide from predators
- Hiding can be used to avoid something
- Hence, changing colors can be used by animals to avoid predators
- Avoiding predators has a positive impact on an organism 's survival
- An animal is a kind of organism
- So, avoiding predators has a positive impact on an animal's survival
- Changing colors can be used by animals to avoid predators
- Avoiding predators has a positive impact on an animal's survival
- Hence, changing colors can have a positive impact on an animal's survival
So, changing colors can have a positive impact on an animal's survival | by helping the chameleon hide from its predators | entailment_bank | Question
The skin of a chameleon can change colors to help it blend with its surroundings. How would this adaptation most likely help a chameleon survive?
Context
- Hiding can be used to avoid something
- Color is a property of something that describes how that something looks
- Some environments change colors
- Avoiding predators has a positive impact on an organism 's survival
- Camouflage is used for hiding by animals from predators
- The water was boiled
- A chameleon can change colors
- An animal is a kind of organism
- An example of camouflage is an organism looking like its environment |
Just because a young man is listening to some smoothing music and looks peaceful, it does not necessarily mean that the young man is enjoying the music, or that it is his music, or that he is enjoying his music through headphones.
| Unknown | esnli | Consider the staetement "The young man is listening to some smoothing music, he looks so peaceful.". Based on this statement, is "The young man is enjoying his music through headphones" a true statement? Yes/no/unknown |
To leap on bed in a hotel room near the beach is rephrasing of the fact that the man jumps on his beach hotel bed.
| Yes | esnli | Context: A man dressed in white and blue clothes leap on his bed in a hotel room near the beach.
Hypothesis: Man jumps on his beach hotel bed.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
The number of times Jason goes to the library per week is 4 * 2 = 8 times.
The number of times he goes to the library in 4 weeks is 8 * 4 = 32 times. | 32 | gsm8k | Jason goes to the library 4 times more often than William goes. If William goes 2 times per week to the library, how many times does Jason go to the library in 4 weeks? |
A construction worker is also a worker and he paving the road with tar means should be near the tar.
| Yes | esnli | Given the statement "A construction worker helps to pave the road with tar.", what is the statement "The worker is near the tar." true?
- Yes
- No
- Unknown |
A parent would not be thrilled about their child failing a multiplication quiz because it shows that the child has not learned what they were supposed to and hence it would imply that the parent has failed as well. | False | FLUTE | Context: "I worked really hard with my daughter last year to teach her multiplication facts but last week at her quiz she failed."
Hypothesis: I was thrilled when my daughter last week failed her multiplication quiz after we worked so hard together last year
Based on the context, is the hypothesis true, false, or unknown? |
Just because the fireman is standing beside a firetruck with a flag does not mean it is in a parade.
| Unknown | esnli | Given the statement "Man in a fireman's uniform standing beside a firetruck with the U.S. flag attached to it.", is the statement "The firetruck is in a parade." wrong?
- Yes
- No
- Unknown |
Four guys is people, "playing" is a rephrasing of "playing ball." and a white shirt and black shirt are clothes.
| True | esnli | Context: "Four guys three are in a white shirt on in a black shirt playing ball."
Hypothesis: People are playing in clothes.
Based on the context, is the hypothesis true, false, or unknown? |
A cheerleading squad clad in black shirts and gold shorts perform a pyramid implies some girls are practicing inside a building.
| Yes | esnli | Context: A cheerleading squad clad in black shirts and gold shorts perform a pyramid maneuver inside a gymnasium.
Hypothesis: Some girls are practicing inside a building.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Two different different people are mentioned, a snowboarder and a swimmer. Also the sentences mention them doing two different things, swimming and descending a mountain.
| No | esnli | Consider the statement "a snowboarder wearing red is descending a snow covered mountain.". Based on this "the swimmer swam alone" a true statement? Yes, no, or I don't know? |
Work surface which consists of wood boards that are on top of a couple of a-frame stands shows that working on a board.
| Yes | esnli | Context: A worker is at the bottom of an outdoor flight of steps using power tools on a makeshift work surface which consists of wood boards that are on top of a couple of a-frame stands.
Hypothesis: A worker is working on a board.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Just because a man is standing in front of a chalkboard that does not mean he is teaching his students.
| Unknown | esnli | Context: A man in a striped polo shirt stands on stage in front of a chalkboard while holding a microphone.
Hypothesis: A teacher is teaching his students.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Animals may compete for territory, water, food, or mates.
Bird a bird is an animal with feathers.
Birds may compete for territory, water, food, or mates. | birds | qasc | What may compete for territory, water, food, or mates?
Options:
- birds
- koalas
- sheep
- viruses
- phytoplankton
- bears
- bacteria
- humans |
无 | 1 | TAL-SCQ5K | 已知正整数$$m+n$$均为质数，且$$7m+n$$和$$mn+11$$也都是质数，则$$m^{n}+n^{m}$$的值为．
1) $$17$$
2) $$37$$
3) $$57$$
4) 以上都不对 |
Number of pages in book is directly proportional to the the thickness of the book | Yes | feasibilityQA | Jordan 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 23 units.
Question: Is the following statement plausible?
Thickness of Physics book could be 26 units. |
Overweight does not mean large and juggling oranges doesn't have to be entertainment and just because she is outside does not be she is at a birthday party.
| I don't know | esnli | Given the statement "An overweight woman wearing a red scarf, denim jacket, gloves and sunglasses is juggling three oranges outdoors with a house in the background.", is the statement "A large woman is entertaining children at a birthday party." is true?
- Yes
- No
- I don't know |
The force of water against the seed coat causes a root to emerge from a seed.
Instead, trees use a method called osmosis to force water upwards.
Osmosis of water enables a root to emerge from a seed. | E | qasc | How does a seed gain water in order to produce a root?
A) lapping
B) watershred
C) spring
D) quenching
E) osmosis
F) wind
G) reverse osmosis
H) Regrows it |
Being distracted while driving can cause people to crash their car.
Car crashes are a leading cause of death.
Distracted driving can cause death. | (a) | qasc | What can distracted driving cause?
Options:
(a) death
(b) fun
(c) Injury
(d) safety
(e) Alcohol
(f) Herpes
(g) disease
(h) productivity |
The three people are specifically two men and one woman and being in front of the building indicates that they are outside.
| No | esnli | Consider the statement "The two men and one woman wearing jackets are standing in front of a white and blue building.". Is the statement "Three people wear their jackets outside." false? Yes/no/unknown |
Just because an officer discussing training it does not mean they are talking about next months training.
| Unknown | esnli | Consider the staetement "An Army officer discuss training with other Army personnel.". Based on this statement, is "The officer is talking with another person about next months training" a true statement? Yes/no/unknown |
Three-quarters of oil from the initially full 4000-liter tank would be 4000*(3/4)= 3000 liters
In addition to the 3000 liters that were already in the large tanker, there are 3000+3000 = 6000 liters in it now.
The tanker would be filled to half capacity by (1/2)*20000 = 10000 liters of oil
There are 10000-6000 = 4000 liters left to reach half capacity. | 4000 | gsm8k | Three-quarters of the oil from a 4000-liter tank (that was initially full) was poured into a 20000-liter capacity tanker that already had 3000 liters of oil. How many more liters of oil would be needed to make the large tanker half-full? |
John has 6 more toys than Rachel + 1 Rachel toy = 7 toys
Jason has 3 * 7 John toys = 21 toys | 21 | gsm8k | Jason has three times as many toys as John. If John has 6 more toys than Rachel and Rachel has 1 toy, how many toys does Jason have? |
The brunette woman is having a conversation with a man means she is speaking to the man and they are the the gym.
| True | esnli | Context: "A brunette woman in a white top gestures with her left hand while speaking to a man."
Hypothesis: A brunette woman having a conversation with a man at the gym.
Based on the context, is the hypothesis true, false, or unknown? |
A cube is divisible by $9$ if the number being cubed is divisible by $\sqrt[3]{9}=3^{\frac{2}{3}}.$ Since a perfect cube is the cube of an integer, we need the number being cubed to be a multiple of $3,$ so the cube is of the form $(3n)^3=27n^3$. Since $\frac{999}{27}=37,$ the cubes we need are $27$ times a cube less than or equal to $37,$ of which there are three. However, $27\cdot1^3=27,$ only has two digits, leaving $2$ such three-digit cubes. | $2$ | competition-math | How many three-digit perfect cubes are divisible by $9?$ |
A person can either be man or a woman. Peeling lemon and slicing onion cannot be done simultaneously.
| Yes | esnli | Given the statement "Young man peeling lemon with a knife into a red basket.", is the statement "A woman slicing an onion and putting it in a pot" wrong?
- Yes
- No
- Unknown |
Light-skinned people get sunburned more quickly than people with darker skin. | 2 | quartz | Two people are standing out in the sunlight; one with dark skin, one with light skin. The person with dark skin will be burned
Options:
1: more
2: less |
zooming means riding fast. Both the sentences give same meaning. It is rephrasing of the sentences.
| True | esnli | Context: "An audacious motorcyclist who is zooming through a racetrack." Claim: "There is a motorcylist that is riding fast."
Considering the context, is the claim true, false, or unknown? |
The fact that it is a photo of a young girl wearing pink pants and a jacket that's pink, red, blue and white the little girl is on one knee sitting on some big rocks smiling posing for a picture with one hand holding a skinny but long stick behind her there is what looks like a wooded area does not imply that the girl is holding the stick to defend herself from an attacker that could come out of the woods.
| Unknown | esnli | Consider the statement "It is a photo of a young girl wearing pink pants and a jacket that's pink, red, blue and white the little girl is on one knee sitting on some big rocks smiling posing for a picture with one hand holding a skinny but long stick behind her there is what looks like a wooded area.". Is the statement "The girl is holding the stick to defend herself from an attacker that could come out of the woods." false? Yes/no/unknown |
Performing is different from rehearsing. Many people are at a rally, and rallies are not held in rehearsal halls.
| No | esnli | Given the statement "A band of musicians performing for a rally.", what is the statement "A band is rehearsing in an empty rehearsal hall." true?
- Yes
- No
- Unknown |
By using multiple stages, empty fuel containers could drop away. This reduced the mass of the rocket so that it could fly higher. | goes higher | quartz | What happens when you lighten a rocket?
Options:
- goes higher
- falls down |
Because of its temperature, the atmosphere emits infrared radiation. For example, on clear nights Earth's surface cools down faster than on cloudy nights. This is because clouds (H2O) are strong absorbers and emitters of infrared radiation. This is also why it becomes colder at night at higher elevations. | Rome | ropes | David was visiting Europe last summer. First he visited London. To his dismay, it was overcast all night. Then he flew to Rome. There the sky was as clear as you could get at night. David was very happy about it.
Based on the above, answer the following question:
In which place less ifrared radiation would be emitted at night, London or Rome? |
Teddy bears can't and don't need to eat food. | A | senmaking | Which of these sentences doesn't make sense?
Options:
A. "i fed my teddy bear."
B. "i fed my dog." |
Two or more girls or boys are called kids. Since three boys are more than two, they are called kids.
| Yes | esnli | Consider the statement "There is a girl with three boys swimming in water.". Based on this "Kids are swimming." a true statement? Yes, no, or I don't know? |
Just because the girl is holding a birthday cake doesn't mean it is her cake. It is not necessarily her birthday.
| Unknown | esnli | Consider the statement "A girl in a hood jacket holds a birthday cake with many candles.". Is the statement "A girl is holding her cake for her birthday." false? Yes/no/unknown |
Elephants are the animals which cannot be filled in the ocean. | a | senmaking | One of the following sentences is nonsensical. Which one is it?
a: "the ocean is filled with elephants."
b: "the ocean is filled with water." |
A black male is unlikely to be Asian. A person wearing a yellow shirt can't be wearing a red shirt at the same time.
| False | esnli | Context: "Asian teen male in yellow shirt and black shorts stands on roadway." Claim: "the black male is wearing a red shirt"
Considering the context, is the claim true, false, or unknown? |
A man is not napping on his favorite chair on a street surrounding by buildings and people walking.
| Yes | esnli | Context: A street surrounded by buildings and people walking.
Hypothesis: A man takes a nap on his favorite chair.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
In the first sentence the men are drinking beer, normally made from grains. In the second sentence they are drinking wine, which is normally made from grapes.
| No | esnli | Context: Two men drinking beer in front of a fence.
Hypothesis: Two men drink wine on a glass deck.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
利用复合函数的单调性求解，令$${{a}^{x}}=t$$，则 $$y=g(t)={{t}^{2}}-(3{{a}^{2}}+1)t$$． ①当$$a\textgreater1$$时，$$t$$是关于$$x$$的增函数，欲使$$f(x)$$在$$x\in [0,+\infty )$$上是增函数，需$$g(t)$$在$$t\in [1,+\infty )$$上是增函数，故$$\frac{3{{a}^{2}}+1}{2}\leqslant 1$$，即$${{a}^{2}}\leqslant \frac{1}{3}$$，矛盾． ②当$$0\textless{}a\textless{}1$$时，$$t$$是关于$$x$$的减函数，欲使$$f(x)$$在$$x\in [0,+\infty )$$上是增函数，需$$g(t)$$在$$t\in (0,1]$$上是减函数，故$$\frac{3{{a}^{2}}+1}{2}\geqslant 1$$，即$${{a}^{2}}\geqslant \frac{1}{3}$$，所以$$\frac{\sqrt{3}}{3}\leqslant a\textless{}1$$． 综上可知选$$\text{B}$$． | b | TAL-SCQ5K | 如果函数$$f(x)={{a}^{x}}({{a}^{x}}-3{{a}^{2}}-1)(a\textgreater0$$且$$a
e 1)$$在区间$$[0,+\infty ]$$上是增函数，那么实数$$a$$的取值范围是．
a. $$\left( 0,\frac{2}{3} \right]$$
b. $$\left[ \frac{\sqrt{3}}{3},1 \right)$$
c. $$(0,\sqrt{3}]$$
d. $$\left[ \frac{3}{2},+\infty \right)$$ |
因$$x
e 5$$，有$$\frac{\left\textbar{} 3-x \right\textbar}{\left\textbar{} 5-x \right\textbar}\leqslant \frac{1}{2}\Leftrightarrow 2\left\textbar{} 3-x \right\textbar\leqslant \left\textbar{} 5-x \right\textbar$$． 当$$x\leqslant 3$$时，$$2(3-x)\leqslant (5-x)$$，解得$$x\geqslant 1$$； 当$$3\textless{}x\textless{}5$$时，$$2(x-3)\leqslant (5-x)$$，解得$$x\leqslant \frac{11}{3}$$； 当$$x\textgreater5$$时，$$2(x-3)\leqslant x-5$$，无解． 所以$$M=\left { x\textbar1\leqslant x\leqslant \frac{11}{3} \right }$$． 又因$${{x}^{2}}-2x+c=0,x=1\pm \sqrt{1-c}$$， 所以$$N=\left { x\textbar1-\sqrt{1-c}\leqslant x\leqslant 1+\sqrt{1-c} \right }$$． 显然，$$1-\sqrt{1-c}\leqslant 1$$， 所以只要$$1+\sqrt{1-c}\geqslant \frac{11}{3}$$，即$$c\leqslant -\frac{55}{9}$$，即有$$M\cap N=M$$． | B | TAL-SCQ5K | 若集合$$M=\left { x\left\textbar{} \frac{\left\textbar{} 3-x \right\textbar}{\left\textbar{} 5-x \right\textbar}\leqslant \frac{1}{2} \right. \right }$$和集合$$N= {x\textbar{{x}^{2}}-2x+c\leqslant 0 }$$满足$$M\cap N=M$$，则实数$$c$$的取值范围是．
Options:
A. $$c\leqslant -\frac{44}{9}$$
B. $$c\leqslant -\frac{55}{9}$$
C. $$c\leqslant -\frac{66}{9}$$
D. $$c\leqslant -\frac{77}{9}$$ |
The two bags of cat food weigh 2 x 3 = 6 pounds.
Each bag of dog food weighs 3 + 2 = 5 pounds.
So two bags of dog food weigh 2 x 5 = 10 pounds.
Thus, Mrs. Anderson bought 6 + 10 = 16 pounds of pet food.
And 16 pounds is equal to 16 x 16 = 256 ounces. | 256 | gsm8k | Mrs. Anderson bought 2 bags of 3-pound bag of cat food and another 2 bags of dog food that each weigh 2 more pounds than each bag of cat food. There are 16 ounces in each pound. How many ounces of pet food did Mrs. Anderson buy? |
English has total 26 alphabets. | Yes | feasibilityQA | Context: Leo is a kid who just started to go to school. In his first class he was taught to write the 26 alphabets of a language.
Question: "The language could have been English." -- Is this statement true? |
A small child describes the child. Drying themselves off and dry their wet body refers to the same action: of getting dry after being wet.
| True | esnli | Context: "A child in a white shirt and flowered black shorts attempts to dry their wet body." Claim: "A small child attempts to dry themselves off."
Considering the context, is the claim true, false, or unknown? |
A woman looking outside the window may be any age, and while sitting ina window she may not be looking outside at the weather.
| Unknown | esnli | Context: An elderly woman sitting in the window of a stone building
Hypothesis: A women looking outside at the weather
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Just because a woman is smiling doesn't mean she was telling a joke, or that she was even communicating with the frowning man. The frowning man could be frowning for reasons other than a joke he didn't get.
| Unknown | esnli | Consider the statement "The bald woman is standing smiling next to a frowning man.". Is the statement "A bald woman tells a joke to a man who doesn't get it" false? Yes/no/unknown |
Two kids are running and playing in some water does not necessarily indicate it's summertime on the Crimea
| I don't know | esnli | Given the statement "Two kids are running and playing in some water.", is the statement "It's summertime on the Crimea." is true?
- Yes
- No
- I don't know |
A girl is wearing a blue sweater is a rephrasing of '' young dark-skinned girl wearing a blue hankie and blue sweater''
| Yes | esnli | Context: This is a headshot of a young dark-skinned girl wearing a blue hankie and blue sweater looking over her shoulder into the camera.
Hypothesis: A girl is wearing a blue sweater.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Most mollusks have shells.
All mollusks have soft bodies.
Shells can protect soft bodies. | (3) | qasc | What can shells protect?
(1) fronts
(2) animals
(3) soft bodies
(4) coastlines
(5) fur
(6) blood
(7) critical organs
(8) hard bodies |
Just because people are sitting in an airport doesn't mean they're waiting for their plane to board.
| Unknown | esnli | Given the statement "Three people are in an airport with one laying on the ground, a woman sitting against the window and a man standing with his luggage.", is the statement "The man and woman are waiting on their plane to board." wrong?
- Yes
- No
- Unknown |
Usually if a clown makes a balloon animal, it is said he is playing with who he is making said animal for.
| Yes | esnli | Context: Salyo the clown prepares to make a balloon animal for little girl in pink jacket.
Hypothesis: Salyo the clown is playing with the little girl.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Just because a woman is surrounded with stuffed animals does not mean that they are at a carnival or that she is trying to win a stuffed animal.
| Unknown | esnli | Context: Man in blue shirt talking to woman behind a counter with stuffed animals hanging all around them.
Hypothesis: A woman is trying to win a stuffed animal for her kid at a carnival
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Just because two men are standing next to pancakes does not necessarily mean edible food is nearby.
| Unknown | esnli | Context: Two men wearing aprons are standing next to pancakes.
Hypothesis: Food is nearby.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Just because workers are standing next to heavy machinery it does not mean the workers guide the machine operator.
| Unknown | esnli | Given the statement "Two workers in uniform are standing next to some heavy machinery.", what is the statement "The workers guide the machine operator." true?
- Yes
- No
- Unknown |
Just because the kids are in a professional kitchen it doesn't mean they're attending a cooking class.
| Unknown | esnli | Context: Four children are reading a recipe in a professional kitchen while the ingredients are laid out on the table.
Hypothesis: Four kids are attending a cooking class.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
The first sentence says the men are playing drums and guitars while the second song they are playing the violin.
| Yes | esnli | Context: A balding man is playing the drums, as another young man holding a guitar plugs in the amp.
Hypothesis: The men are playing the violin.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
The women slowly waded through ankle deep water carrying a bundle of freshly picked seaweed does not imply that he is preparing a meal
| Unknown | esnli | Context: "The women slowly waded through ankle deep water carrying a bundle of freshly picked seaweed."
Hypothesis: the woman is preparing a meal
Based on the context, is the hypothesis true, false, or unknown? |
Salt helps cleanse the skin by displacing bacteria in a cut. 1 Cup of ham contains 1.684 mg of sodium. Salt is a mineral made up mostly of sodium chloride. | Yes | strategyqa | Can ham make a cut seal up quicker? |
You can't wear maroon and lavender and yellow and blue at the same time. Also, you can't roll and walk through a field at the same time. The fields can also not be muddy and dry simultaneously.
| False | esnli | Context: "A man wearing yellow and blue is walking through a dry field."
Hypothesis: A man wearing maroon and lavender rolls around a muddy field.
Based on the context, is the hypothesis true, false, or unknown? |
Sentence one describes a stressful situation with extinguishes a flame in a dessert and supporting each other. Sentence two says they are relaxing. Very different.
| False | esnli | Context: "Two men support a third, all dressed in army camouflage, as the third man extinguishes a flame some distance away outdoors in an abandoned urban desert environment." Claim: "Men are drinking beer relaxing after a long day of work."
Considering the context, is the claim true, false, or unknown? |
When elephants are ship they do not go in the mail box. | "an elephant will go in a mail box" | senmaking | Which of the following two sentences does not make sense?
- "an elephant will go in a mail box"
- "mail will likely go in a mail box" |
As animals grow their bones get longer and bigger, they grow more hair, and are able to take care of themselves by getting food, shelter, and water. | (a) | quartz | If an animal is not growing normally, it should develop _____ hair.
(a) less
(b) more |
Lakes are generally bigger and deeper than ponds.
Frogs start out life in ponds and puddles.
Lakes are generally bigger and deeper than where frogs start out life. | (e) | qasc | Lakes are generally bigger and deeper than the birth home of what animal?
(a) salmon
(b) swea
(c) Lemurs
(d) mammals
(e) Frogs
(f) Sharks
(g) cows
(h) Birds |
Just because A brave person rides their quad in the desert does not mean that he races in the desert.
| Unknown | esnli | Consider the statement "A brave person rides their quad in the desert.". Is the statement "A person races in the desert." false? Yes/no/unknown |
You can't imply the people waiting for a sale because they are dressed in black and standing outside of a an establishment.
| I don't know | esnli | Consider the statement "A group of people all dressed in black jackets stand outside of a business establishment.". Based on this "People are waiting for a sale." a true statement? Yes, no, or I don't know? |
In a deck of cards, there are 12 face cards | Yes | feasibilityQA | While playing with friends, Calvin got angry tore all the face cards from 4 decks.
Question: Is the following statement plausible?
He could tear 39 cards in total. |
When the Moon is at first quarter or third quarter, the Sun and Moon are separated by 90° when viewed from the Earth, and the solar tidal force partially cancels the Moon's tidal force. At these points in the lunar cycle, the tide's range is at its minimum; this is called the neap tide, or neaps. Neap is an Anglo-Saxon word meaning "without the power", as in forðganges nip (forth-going without-the-power).Spring tides result in high waters that are higher than average, low waters that are lower than average, 'slack water' time that is shorter than average, and stronger tidal currents than average. Neaps result in less extreme tidal conditions. There is about a seven-day interval between springs and neaps. | Case a | ropes | Rob was in the East Coast for a month. He had the good opportunity to see various tidal conditions. First he saw the spring tide, which he noted as case A. About a week later he saw the neap tide. He noted that as case B. Rob got curious about the science behind various tidal conditions.
Which case would see stronger tidal currents, case A or case B? |
Prokaryotes have a different way to increase genetic variation. It’s called genetic transfer or bacterial conjugation . It can occur in two ways. One way is when cells “grab” stray pieces of DNA from their environment. The other way is when cells directly exchange DNA (usually plasmids) with other cells. For example, as shown in Figure below , the donor cell makes a structure called an F pilus , or sex pilus. The F pilus attaches one cell to another cell. The membranes of the two cells merge and genetic material, usually a plasmid , moves into the recipient cell. Genetic transfer makes bacteria very useful in biotechnology. It can be used to create bacterial cells that carry new genes. | Bill | ropes | Context: Two researches studied living organisms, Joe studied eukaryotes, while Bill studied prokaryotes. They were fascinated by genetic variation.
Question: Which researcher observed more cells “grab” stray pieces of DNA from their environment? |
The stronger of two acids will have a higher Ka than the weaker acid; the ratio of hydrogen ions to acid will be higher for the stronger acid as the stronger acid has a greater tendency to lose its proton. Because the range of possible values for Ka spans many orders of magnitude, a more manageable constant, pKa is more frequently used, where pKa = −log10 Ka. Stronger acids have a smaller pKa than weaker acids. Experimentally determined pKa at 25 °C in aqueous solution are often quoted in textbooks and reference material. | Jacob's | ropes | Consider the following text:
Jacob and Thomas were conducting an experiment in a chemistry class. The goal of the experiment was to identify the strength of unknown acids by examining the products formed in a chemical reaction. After they completed the experiment, Jacob concluded that he was given a strong acid, while Thomas concluded that he was given a weak acid.
Which person's acid, Jacob's or Thomas's, will have a greater tendency to lose its protons? |
Two girls wearing a white team shirt with green shorts and a girl wearing a red and white team shirt implies that the girls are playing a soccer match.
| True | esnli | Context: "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."
Hypothesis: A soccer match is being held.
Based on the context, is the hypothesis true, false, or unknown? |
Running ahead does not imply that the dogs are hunting with their masters for quail in the early forest light.
| I don't know | esnli | Consider the statement "The Irish setter with the safety vest is running ahead of the Rottwieler and the Dalmation.". Based on this "The dogs are all out hunting with their masters for quail in the early forest light." a true statement? Yes, no, or I don't know? |
The man could be doing anything, not necessarily looking for a lost foal. The field is not necessarily his father's field.
| Unknown | esnli | Consider the staetement "A man in a blue tee-shirt, wearing a cap, is riding a white horse down a dirt road, in a rural setting of grass and hills.". Based on this statement, is "The man is on his way to find a lost foal in his father's field" a true statement? Yes/no/unknown |
One interesting thing that has been found in plants that are consistently exposed to drought, is their ability to form a sort of "memory". In a study by Tombesi et al., they found plants who had previously been exposed to drought were able to come up with a sort of strategy to minimize water loss and decrease water use. They found that plants who were exposed to drought conditions actually changed they way the regulated their stomates and what they called "hydraulic safety margin" so as to decrease the venerability of the plant. By changing the regulation of stomata and subsequently the transpiration, plants were able to function better in situations where the availability of water decreased. | Plant a | ropes | Context:
Drought is major concern in the Midwest. To confront the problem scientists are trying to develop drought-resistant crops. To that end, they took a plant that was not exposed to drought. They labeled it as plant A. Then they took a similar plant, and repeatedly exposed it to drought. They labeled it as plant B. They wanted to find out what makes a plant drought-resistant.
Q: In which plant there would be more water loss, plant A or plant B? |
Pork is forbidden food at a halal store. | "we went to the halal canteen for pork" | senmaking | Which of the following sentences is nonsensical?
* "we went to the halal canteen for pork"
* "we went to the halal canteen for beef" |
A man could secure a block of concrete not so it doesn't fall and kill someone, but simply to make his job simpler.
| Unknown | esnli | Context: "Man secures a large block of concrete." Claim: "a man secures the concrete block so it doesn't fall and kill someone"
Considering the context, is the claim true, false, or unknown? |
A child is outdoors is another way of saying a young girl in blue jeans and a red shirt is in the green grass.
| No | esnli | Given the statement "A young girl in blue jeans and a red shirt is in the green grass.", is the statement "A child is outdoors." wrong?
- Yes
- No
- Unknown |