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We note that $361=19^2$ and $36=6^2$, so $x=19^2+2(19)(6)+6^2$. This is just the binomial expansion of $(19+6)^2=25^2=625$. | $625$ | competition-math | $361+2(19)(6)+36=x$. Solve for $x$. |
A couple and a little girl are three people. People standing along the shoreline are beside the water.
| True | esnli | Context: "Couple, man and woman, with little girl all of them dressed in wedding apparel while standing along shoreline."
Hypothesis: Three people stand beside the water, dressed in wedding apparel.
Based on the context, is the hypothesis true, false, or unknown? |
平行四边形不一定是轴对称图形； 圆有无数条对称轴； 等边三角形恰好有三条对称轴； 正方形有四条对称轴． 故选$$\text{C}$$． | c | TAL-SCQ5K | 在下列图形中，恰有三条对称轴的是（~ ）．
Options:
a: 平行四边形
b: 圆
c: 等边三角形
d: 正方形 |
While it's possible for a little bot to play with a croquet hammer and a ball beside the car at the same time that little boy wouldn't possibly play with legos.
| No | esnli | Context: The little boy is playing with a croquet hammer and ball beside the car.
Hypothesis: The boy is playing with Legos.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
The group of musicians is the band, playing in front of a golden statue which would be beautiful art in the background.
| No | esnli | Given the statement "A group of musicians perform a symphony in front of a golden statue.", is the statement "The band played on with beautiful art in the background." wrong?
- Yes
- No
- Unknown |
The young woman is an other way of saying a girl, and there must be a building ignorer to have a rolling door.
| No | esnli | Context: A young woman walking by a rolling door.
Hypothesis: A girl is by a building.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Someone cannot be running and walking. A person can also not be indifferent if they have outstretched arms.
| No | esnli | Given the statement "A young boy in a black jacket is running towards a woman with outstretched arms.", what is the statement "A boy is walking towards an indifferent woman" true?
- Yes
- No
- Unknown |
"Men playing volleyball in the sand" is a more detailed way of saying "The men are playing volleyball."
| True | esnli | Context: "Men playing volleyball in the sand." Claim: "The men are playing volleyball."
Considering the context, is the claim true, false, or unknown? |
A man standing with his two Burnese mountain dogs sitting in front of him does not imply the dogs are large or that he just found them.
| Unknown | esnli | Context: A man in indian attire stands with his two Burnese mountain dogs sitting in front of him.
Hypothesis: A man stands with two large dogs he just found sitting in front of him.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Dancing down the street is motion and sitting on the sidewalk is not moving. One cannot move and not move at the same time.
| No | esnli | Consider the staetement "a young girl wearing a colorful outfit dancing down the street in a performance.". Based on this statement, is "The girl is sitting on the sidewalk of the street." a true statement? Yes/no/unknown |
Using a car causes pollution.
Harmful emissions from cars are largely responsible for the giant holes in the ozone layer.
Pollution is responsible for holes in the ozone. | C | qasc | What causes holes in the ozone?
A. Thunderstorms
B. flooding
C. Pollution
D. Sun damage
E. vaporization
F. influenza
G. rays or beams
H. Wind |
"Three men working" is generalizing the specific jobs of 2 shoveling dirt and the other laying down cement.
| No | esnli | Consider the statement "3 men, 2 shoveling dirt and the other laying down cement.". Is the statement "Three men are working." false? Yes/no/unknown |
Plugging the known value of $w$ into the third given equation, we find that $z=100$. Plugging $z$ into the second given equation, we find that $y=110$. Plugging $y$ into the first given equation gives $x=115$. | $115$ | competition-math | What is the value of $x$ if \begin{align*}x &= y+5,\\
y &= z+10,\\
z &= w+20,\\
\text{and }\qquad w &= 80?
\end{align*} |
Just because the man is doing a yo-yo demonstration doesn't mean he's performing the walk the dog trick.
| I don't know | esnli | Given the statement "Man wearing white shirt does a yo-yo demonstration.", is the statement "A man performs walk the dog for raucous crowd." is true?
- Yes
- No
- I don't know |
Three girls and a guy are considered a group. They are talking and laughing in from of a whiteboard, which are typically found indoors.
| Yes | esnli | Consider the staetement "Three girls and a guy are laughing and talking with each other in front of a whiteboard.". Based on this statement, is "A group of people laughing and talking indoors." a true statement? Yes/no/unknown |
The man does not have to be preparing to sell his goods by standing outside a building set up to sell items. The building set up to sell items does not have to be a pawn shop.
| Unknown | esnli | Context: A dark-skinned man standing outside a small yellow building which is setup to sell items.
Hypothesis: A man is preparing to sell his goods at the pawn shop/
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
因为$$a\textless{}0$$，所以$$\left\textbar{} a \right\textbar=-a$$． 因为$$b\textgreater0$$，所以$$\left\textbar{} b \right\textbar=b$$． 所以$$a+b=-\left\textbar{} a \right\textbar+\left\textbar{} b \right\textbar$$．选$$\text{A}$$． | a | TAL-SCQ5K | 若$$a\textless{}0$$，$$b\textgreater0$$，且$$\left\textbar{} a \right\textbar\textless{}\left\textbar{} b \right\textbar$$，则$$a+b=$$（~ ）．
a) $$\left\textbar{} b \right\textbar-\left\textbar{} a \right\textbar$$
b) $$-\left\textbar{} a \right\textbar-\left\textbar{} b \right\textbar$$
c) $$\left\textbar{} a \right\textbar-\left\textbar{} b \right\textbar$$
d) $$\left\textbar{} a \right\textbar+\left\textbar{} b \right\textbar$$ |
Angela has 8 more marbles than Allison who has 28 so Angela has 8+28 = 36 marbles
Albert has three times as many marbles as Angela who has 36 so Albert has 3*36 = 108 marbles
Albert and Allison together have 108+28 = 136 marbles | 136 | gsm8k | Albert has three times as many marbles as Angela. Angela has 8 more than Allison, who has 28 marbles. How many marbles do Albert and Allison have? |
No one can assume that vendors do not want to sell as they are showing their necklaces for sale to customers.
| No | esnli | Consider the statement "Street vendors show their necklaces for sale to three customers.". Based on this "The street vendors do not want to sell their good." a true statement? Yes, no, or I don't know? |
He bought 6-2=4 rose bushes for himself
The rose bushes for himself cost 4*$75=$300
He also spent 2*$100=$200 on aloes.
He spent a total of $200+$300=$500 | 500 | gsm8k | Mike buys 6 rose bushes at 75 dollars each, 2 of them are for his friend and the rest are for him. He also buys 2 tiger tooth aloes for 100 dollars each. How much money did he spend on plants for himself? |
Just because a man is walking away from a camera does not mean he disliked his picture being taken.
| Unknown | esnli | Context: "A man walking away from the camera pulls a three-wheeled cart through a dark alley." Claim: "A man disliked getting his picture taken."
Considering the context, is the claim true, false, or unknown? |
- "A complete revolution / orbit of the earth around the sun takes one year" is not relevant
- Pumping is a kind of method for transporting water
- A well is a vehicle for removing water from an aquifer
- Hence, pumping from wells is a kind of method for removing water from aquifers
- Pumping from wells is a kind of method for removing water from aquifers
- If too much water is removed from a location then the water may become used up
- Therefore, if too much water is pumped from a well then the water in that aquifer may become used up
- If too much water is pumped from a well then the water in that aquifer may become used up
- Excessive means too much in quantity
- Therefore, excessive pumping from wells may cause the water in that aquifer to become used up
Therefore, excessive pumping from wells may cause the water in that aquifer to become used up | excessive pumping from wells | entailment_bank | [Question]Some of Earth's water is stored underground in porous rock formations known as aquifers. Which of these could use up groundwater in aquifers?
[Context]- Pumping is a kind of method for transporting water
- A well is a vehicle for removing water from an aquifer
- A complete revolution / orbit of the earth around the sun takes one year
- If too much water is removed from a location then the water may become used up
- Excessive means too much in quantity |
A man wearing a black hat is a man. A man wearing a black hat, carving a design into wood is a rephrasing of A man is carving a desing into wood
| Yes | esnli | Given the statement "A man, wearing a black hat, carving a design into wood.", is the statement "A man is carving a design into wood." is true?
- Yes
- No
- I don't know |
Someone playing the cello in an orchestra is amidst a group of other musicians and is playing a different instrument than a man playing a guitar by himself.
| No | esnli | Given the statement "Young man showing great concentration while playing the cello in an orchestra.", is the statement "Man playing a guitar by himself." is true?
- Yes
- No
- I don't know |
Since the father dug a hole with a rate of 4 feet per hour, if the father took 400 hours digging the hole, he dug a hole 4*400 = 1600 feet deep.
Twice the depth of the hole that Michael's father dug is 2*1600 = 3200 feet
Michael wants to dig a hole 400 feet less than twice the depth of the hole that his father dug, meaning he wants to dig a hole 3200-400 = 2800 feet deep.
To dig a hole that is 400 feet less than twice as deep as his father's hole working at a rate of 4 feet per hour, Michael will have to work for 2800/4 = 700 hours. | 700 | gsm8k | Michael wants to dig a hole 400 feet less deep than twice the depth of the hole that his father dug. The father dug a hole at a rate of 4 feet per hour. If the father took 400 hours to dig his hole, how many hours will it take for Michael to dig a hole that is 400 feet less than twice as deep as his father's hole working at the same rate? |
Since a woman holding her crying and walking down the street, she is walking with her crying baby. Also, since she is walking down a street with children in face paint, that also means she is among the children in facepaint.
| Yes | esnli | Given the statement "Woman holds crying baby while walking down the street with children in face paint.", is the statement "a woman walks with her crying baby among children in face paint" is true?
- Yes
- No
- I don't know |
停车场只有黑白两种车，白车与黑车的比率是$$3:8$$，黑白车的总数是$$242$$辆．请问黑车比白车多多少辆？ ratio比率； a total of 总数； more．．than 比．．多． 白车数量：$$\frac{3}{11}\times 242=66$$辆，黑车数量：$$\frac{8}{11}\times 242=176$$辆．黑车比白车多$$176-66=110$$辆． | $$110$$ | TAL-SCQ5K | （这是一道挑战题！）There are only white cars and black cars．$$If$$ the ratio of white cars to black cars is $$3$$ to $$8$$ and there are a total of $$242$$ cars， how many black cars and white cars are there？
- $$66$$
- $$110$$
- $$129$$
- $$176$$ |
The Albanian Declaration of Independence is written in Albanian, Gheg, Tosk, and Ottoman Turkish. The Arvanite Greek's are a major Tosk speaking group of southern Albania. | Yes | strategyqa | Can an Arvanite Greek understand some of the Albanian Declaration of Independence? |
Just because a man aims a cellphone at a person doesn't mean that he is trying to trick that person.
| Unknown | esnli | Given the statement "A man in a hat and red shirt aims a cellphone at a person walking toward him on the sidewalk.", what is the statement "A man is trying to play a trick on a stranger" true?
- Yes
- No
- Unknown |
Nikka has 100 x 35/100 = 35 Chinese stamps.
She has 100 x 20/100 = 20 US stamps.
So, Nikka has 35 + 20 = 55 stamps that are not Japanese.
Thus, Nikka has 100 - 55 = 45 Japanese stamps. | 45 | gsm8k | Nikka has a 100 stamp collection. Thirty-five percent of her stamps are Chinese, 20% are US stamps, and the rest are Japanese stamps. How many Japanese stamps does Nikka have? |
The girl is either performing with an acoustic electric auto harp or she playing rock music on her electric guitar.
| No | esnli | Consider the staetement "A girl performing with an acoustic electric auto harp.". Based on this statement, is "A girl playing rock music on her electric guitar." a true statement? Yes/no/unknown |
Just because the men are waving flags of union and confederate colors does not mean that reenacter honors both sides.
| I don't know | esnli | Given the statement "A man's upper torso in Union Blue waving with a flag in background and Confederate Gray behind him waving as well.", is the statement "A reenacter honors both sides of the civil war." is true?
- Yes
- No
- I don't know |
Buying stocks for cheap and then them not going up in price means that the person has no investment skills and so should not be proud of themselves. | No | FLUTE | Consider the statement "I bought some cheap stocks hoping that they would go up in price but they didn't.". Based on this "I was really proud of my investment skills when the stocks I bought for cheap didn't go up in price" a true statement? Yes, no, or I don't know? |
The woman is laying on a towel looking in the direction of the men, she cannot be holding a discussion with these men if she is only looking in their direction.
| False | esnli | Context: "A woman in a blue bathing suit lays on a towel in the sand looking in the direction of a group on men." Claim: "The woman is holding a discussion with several men."
Considering the context, is the claim true, false, or unknown? |
Just because a girl is playing with an orange cone does not necessarily mean that she is playing outside.
| Unknown | esnli | Context: Young girl playing with orange cone.
Hypothesis: The girl is playing outside.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
- Wind direction is a property of weather
- A property is a kind of information
- Hence, wind direction is a kind of information about weather
- Wind direction is a kind of information about weather
- A station model is used for displaying information about weather in a particular point and time
- So, wind direction in a particular point and time is displayed in a station model
Therefore, wind direction in a particular point and time is displayed in a station model | wind direction in a particular point and time | entailment_bank | Which information is used in a station model?
- A station model is used for displaying information about weather in a particular point and time
- Wind direction is a property of weather
- A property is a kind of information |
A man is skating down a rail in front of a group of people does not imply the Man is skating in front of his friends.
| Unknown | esnli | Consider the staetement "A man is skating down a rail in front of a group of people.". Based on this statement, is "Man skating in front of his friends." a true statement? Yes/no/unknown |
Near some construction buildings and pushing wheelbarrows does not necessarily imply the men are construction workers.
| Unknown | esnli | Given the statement "Two men pushing wheelbarrows, two men looking at them, they are in the desert near some block construction buildings.", is the statement "The men are construction workers." wrong?
- Yes
- No
- Unknown |
A person laying on the ground taking a picture is equivalent to a person laying on the ground taking a picture.
| True | esnli | Context: "A person in a plaid shirt is laying on the ground taking a picture of a backpack which reads "vespa"." Claim: "A person is laying on the ground taking a picture."
Considering the context, is the claim true, false, or unknown? |
Her implies that the person is a female, and the person is a man. If it is a classical music show, then a rocker would not be performing.
| Yes | esnli | Given the statement "a man taking his solo part during a classical music show.", is the statement "A rocker is smashing her guitar on the stage." wrong?
- Yes
- No
- Unknown |
A man cannot be wearing a red life jacket and be naked at the same time.H also cannot be holding a rope and grilling at the same time.
| No | esnli | Context: A man wearing a red life jacket is holding onto a rope coming down off a ship.
Hypothesis: A naked man is grilling.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Dany has to have 4 x 2 = 8 bushels a day for the cows.
He has to have 3 x 2 = 6 bushels a day for the sheep.
And he also has to have 7 x 3 = 21 bushels a day for the chickens.
Therefore, Dany has to have 8 + 6 + 21 = 35 bushels to suffice the animals for a day. | 35 | gsm8k | Dany owns a farm, in his farm he has 4 cows and 3 sheep that eat 2 bushels a day. He also has 7 chickens that eat 3 bushels a day. How many bushels should he have to suffice the animals for a day? |
When tossing a single coin, there are two possible outcomes, a head (H) or a tail (T). When tossing 2 coins, there are $$2 \times 2 = 4 $$possible outcomes. These are HH, HT, TH, and TT. When tossing 3 coins, there are $$2 \times 2 \times 2 = 8 $$possible outcomes. These are HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT. Of these 8 possible outcomes, there are 2 winning outcomes, HHH and TTT. Thus, the probability of winning the Coin Game is $\frac{1}{4}$ . Answer: E | (E) | TAL-SCQ5K | In the Coin Game, you toss three coins at the same time. You win only if the 3 coins are all showing heads, or if the 3 coins are all showing tails. If you play the game once only, what is the probability of winning?
Options:
(A) $\frac{1}{6}$
(B) $\frac{1}{3}$
(C) $\frac{2}{27}$
(D) $\frac{2}{3}$
(E) $\frac{1}{4}$ |
Just because the young man is preparing to cut up butchered animals, it does not necessarily mean that he is a butcher.
| Unknown | esnli | Consider the statement "A young man, in a red t-shirt, is looking in the camera while he is preparing to cut up two butchered animals.". Is the statement "A butcher is working." false? Yes/no/unknown |
This women's husband is trying to be funny and making her day a lot better after their vehicle breaking down, while in the same time wouldn't be just aman and woman are broken down on the side, with the man entertaining the woman.
| Yes | esnli | Consider the statement "This women's husband is trying to be funny and making her day a lot better after their vehicle breaking down.". Based on this "A man and woman are broken down on the side, with the man entertaining the woman." a true statement? Yes, no, or I don't know? |
K + 2K +3 + 4K - 4 + 5K +1 = 12K
(12K)/4 = 63
12K = 63 * 4 = 252
K = 252 / 12 = 21 | C | aqua | If the average (arithmetic mean) of the four numbers K, 2K + 3, 4K – 4 and 5K + 1 is 63, what is the value of K?
Options:
A. 11
B. 15 3/4
C. 21
D. 23
E. 25 3/10 |
others is always more than one. so its already a group. Either Others or Group. Hence contradictory
| Yes | esnli | Context: A boy in a green wetsuit takes his turn in a water sprinkler and a group of others wait.
Hypothesis: the boy slipped and fell
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Doing flips on a trampoline and swimming are two activities that are not similar and have to be done separately. The trampoline must be on the ground for the woman to do the flips on them whereas swimming occurs in the water.
| False | esnli | Context: "A woman is doing flips on a trampoline in front of a lake."
Hypothesis: A woman is swimming in the lake
Based on the context, is the hypothesis true, false, or unknown? |
Just because a boy is making a kiss face dose not mean he is flirting with a girl, he could be poking fun at a friend or flirting with another boy.
| Unknown | esnli | Consider the staetement "A boy is crouching down, making a kiss face.". Based on this statement, is "A boy was flirting with a girl." a true statement? Yes/no/unknown |
In round one, Jeff completed 16 - 1 = 15.
In round two, Jeff completed 16 - 3 = 13.
In round three, Jeff completed 16 + 4 = 20.
In round four, Jeff completed 16 / 2 = 8.
Jeff completed 15 + 13 + 20 + 8 = 56 skips in total.
Jeff skipped an average of 56 / 4 = 14 skips per round. | 14 | gsm8k | Sam and Jeff had a skipping competition at recess. The competition was split into four rounds. Sam completed 1 more skip than Jeff in the first round. Jeff skipped 3 fewer times than Sam in the second round. Jeff skipped 4 more times than Sam in the third round. Jeff got tired and only completed half the number of skips as Sam in the last round. If Sam skipped 16 times in each round, what is the average number of skips per round completed by Jeff? |
A man taking at a podium isn't always a business men. People being spoken to by a man at a podium are not always subordinate employees. There is no indication that anyone or anything is in a large auditorium.
| Unknown | esnli | Context: A man on a podium talking to a group of people.
Hypothesis: A businessman standing on a podium talking to his subordinate employees in a large auditorium.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Losing a lot of money in investments is definitely painful and can lead to feeling like their life is crumbling and so someone feeling like their life is back on track when that happens is absurd. | No | FLUTE | Given the statement "When I found out that my investments had lost more than half of their value I was crushed.", what is the statement "When I found out that my investments had lost more than half of their value, I felt like my life was back on track" true?
- Yes
- No
- Unknown |
She either walks down the city sidewalk or walks the catwalk during a fashion show, she cannot do both at the same time.
| Yes | esnli | Context: A girl in a red winter coat walks down the city sidewalk as she speaks on the phone.
Hypothesis: A female model walks the catwalk during a fashion show.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Not all dog is puppy. It is not necessarily fetching a stick that a brown, black and white dog is running through a large field with its mouth open.
| Unknown | esnli | Consider the staetement "A brown, black and white dog is running through a large field with its mouth open.". Based on this statement, is "A puppy is fetching a stick." a true statement? Yes/no/unknown |
A square has four sides of equal length | Yes | feasibilityQA | Context: Leon is making a square shaped frame with ribbon. He has ribbon of length 60 units.
Question: "Leon could make the square of side length 11 units." -- Is this statement true? |
People can be more than three people. If people are sitting in front of water they are not swimming in the water.
| Yes | esnli | Given the statement "Three people sitting in front of water next to an alligator warning sign.", is the statement "People are swimming in the water." wrong?
- Yes
- No
- Unknown |
Just because People holding onto ropes while trying to get something through a window on the second floor does not indicate that they trying to get a piano through a window.
| I don't know | esnli | Context: People holding onto ropes while trying to get something through a window on the second floor.
Hypothesis: People are holding onto ropes while trying to get a piano through a window.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
nil | $$1$$ | TAL-SCQ5K | \textbf{In which place did each of the following shops come in the competition? Write the correct letter on the Prize list. What is the ranking of the pizza shop?}
* $$1$$
* $$2$$
* $$3$$
* $$4$$ |
A man and a woman can be standing together without being husband and wife. Also, just because a couple has travel luggage and sleeping bags doesn't have to mean they're waiting for the train.
| Unknown | esnli | Context: A man and a woman are standing outside of subway with their travel luggage and sleeping bags.
Hypothesis: A husband and wife are waiting for the train.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
There can either be a boy or young man. He cannot simultaneously be playing the drums and sitting with his head down.
| No | esnli | Context: An elderly couple dances next to a table where a boy is sitting with his head down.
Hypothesis: A young man is playing the drums.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Women sitting on green outdoor furniture on a patio does not necessarily imply that they enjoy this or that they are looking at the scenery.
| Unknown | esnli | Context: Four women sitting on green outdoor furniture on a patio with a small doghouse in the backdrop.
Hypothesis: four women enjoy sitting on a green outdoor furniture on a patio while looking at the scenery
Is the hypothesis incorrect? (Yes, no, or unknown)? |
The young girl is practicing her routine for her U.S. Olympic Gymnastics team's tryouts that doesn't mean she's gymnastics prodigy
| I don't know | esnli | Context: This picture is of a young girl practicing gymnastics in a gym.
Hypothesis: The young girl is a gymnastics prodigy, and is practicing her routine for her U.S. Olympic Gymnastics team's tryouts.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
设$$f\left( x \right)=\ln \frac{2-x}{2+x}$$， 则$$f\left( -x \right)=\ln \frac{2+x}{2-x}=-\ln \frac{2-x}{2+x}=-f\left( x \right)$$， 因此，$$f\left( x \right)=\ln \frac{2-x}{2+x}$$是奇函数． 又$$t=\frac{2-x}{2+x}=-1+\frac{4}{2+x}$$为区间$$\left[ -1, 1 \right]$$上的单调递减函数，$$y=\ln t$$为区间$$\left( 0, +\infty \right)$$上的单调递增函数，而$$f\left( x \right)=\ln \frac{2-x}{2+x}$$为$$y=\ln t$$与$$t=\frac{2-x}{2+x}$$的复合函数，因此函数$$f\left( x \right)=\ln \frac{2-x}{2+x}$$在区间$$\left[ -1, 1 \right]$$上单调递减． | $$f\left( x \right)=\ln \frac{2-x}{2+x}$$ | TAL-SCQ5K | 下列函数既是奇函数，又在区间$$\left[ -1, 1 \right]$$上单调递减的是．
Options:
* $$f\left( x \right)=\sin x$$
* $$f\left( x \right)=-\left\textbar{} x+1 \right\textbar$$
* $$f\left( x \right)=\ln \frac{2-x}{2+x}$$
* $$f\left( x \right)=\frac{1}{2}\left( {{a}^{x}}+{{a}^{-x}} \right)$$ |
前三个数之和$$=15\times 3$$，后两个数之和$$=10\times 2$$． 所以五个有理数的平均数为$$\frac{15\times 3+10\times 2}{5}=13$$．选$$\text{D}$$． | [4] | TAL-SCQ5K | 张梅写出了五个有理数，前三个有理数的平均值为$$15$$，后两个有理数的平均值是$$10$$，那么张梅写出的五个有理数的平均值是（~ ~ ~）．
[1] $$5$$
[2] $$8\frac{1}{3}$$
[3] $$12\frac{1}{2}$$
[4] $$13$$ |
We need to reduce our electricity consumption in order to reduce pollution. | 1 | quartz | A rapid decrease in electricity consumption could mean _____ pollution.
1: less
2: more |
It is impossible for a girl while she lays on the ground as well as sets up a picnic simultaneously.
| No | esnli | Consider the statement "a young girl wearing yellow lays on the ground.". Based on this "A young girl sets up a picnic." a true statement? Yes, no, or I don't know? |
Tourists posing with a mock astronaut for a picture are posing with an astronaut, regardless of whether it's for a picture or not.
| Yes | esnli | Context: Tourists, both female (one older, the other considerably younger) posing with mock astronaut for picture.
Hypothesis: Tourist pose with an astronaut.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
The rock band may not be rising starts just because they are performing. Also, the venue may not be a concert hall, but some other kind of place.
| I don't know | esnli | Consider the statement "A rock band performs in a dark venue.". Based on this "Rising rock stars are in a dim concert hall." a true statement? Yes, no, or I don't know? |
We didn't know the lady with the flag and the person dressed at the Statue of Liberty were watching as fireworks go off.
| I don't know | esnli | Given the statement "A person dressed up like the statue of liberty standing above a lady holding an American flag.", is the statement "A person dressed up like the statue of liberty standing above a lady holding an American flag on the 4th of July as fireworks go off." is true?
- Yes
- No
- I don't know |
A girl is not a dog. A girl can not be playing on a blue playgroung and on a trampoline at the same time.
| Yes | esnli | Given the statement "A young girl playing on a blue playground.", is the statement "A dog on a trampoline." wrong?
- Yes
- No
- Unknown |
共猜对$$5$$次，由题意知：$$1$$号箱被猜$$2$$次橙，$$2$$号箱被猜$$2$$次黑，则$$1$$号箱为橙或$$2$$号箱为黑． 假设$$1$$号为橙色，则拉斐尔和多纳泰罗一个猜中$$1$$次，一人猜中两次． 假设拉斐尔猜中$$1$$次，则$$2$$号不为黑，$$3$$号不为绿，则李奥纳多猜中$$3$$号为黄，米开朗琪罗全猜错． 假设有问题，则拉斐尔猜中$$2$$次，$$1$$号为橙，$$2$$号不为黑，$$3$$号为绿，则李奥纳多全猜错，则$$1$$号为橙，$$2$$号为黑，$$3$$号不为绿，拉斐尔猜中$$2$$次，李奥纳多猜中$$2$$号为黑，多纳泰罗猜中$$1$$号为橙，米开朗琪罗猜中$$3$$号为紫． | F | TAL-SCQ5K | 斯普林特老师在$$3$$个小箱中各放一个有颜色的球，让四只忍者神龟猜箱子中球的颜色． 李奥纳多说：``$$1$$号箱中放红球，$$2$$号箱中放黑球，$$3$$号箱中放黄球．'' 拉斐尔说：``$$1$$号箱中放橙球，$$2$$号箱中放黑球，$$3$$号箱中放绿球．'' 米开朗琪罗说：``$$1$$号箱中放蓝球，$$2$$号箱中放橙球，$$3$$号箱中放紫球．'' 多纳泰罗说：``$$1$$号箱中放橙球，$$2$$号箱中放绿球，$$3$$号箱中放蓝球．'' 斯普林特老师说：``你们中有一个人恰好猜对了两个，其余三人都只猜对一个．'' 那么$$3$$号箱中放的是球．
A. 黄
B. 黑
C. 红
D. 橙
E. 蓝
F. 紫
G. 绿 |
- Predators threaten the existance of other animals
- Threatening the existence of an animal has a negative impact on that animal
- Therefore, predators have a negative impact on an animal's survival
- Predators have a negative impact on an animal's survival
- Avoiding something with a negative impact has a positive impact
- Therefore, avoiding predators has a positive impact on an organism 's survival
- Avoiding predators has a positive impact on an organism 's survival
- Defenses can help animals avoid predators
- Therefore, organisms will use defenses as a reseponse to predators
- Quills are a kind of defense mechanism
- Quills are part of a porcupine
- So, quills are part of a porcupine used for defense
- Organisms will use defenses as a reseponse to predators
- Quills are part of a porcupine used for defense
- Therefore, a porcupine will use quills as a response to predators
Therefore, a porcupine will use quills as a response to predators | threatening behavior by predators | entailment_bank | Question: Which stimulus causes a porcupine to extend its quills?
Context: - Predators threaten the existance of other animals
- Defenses can help animals avoid predators
- Avoiding something with a negative impact has a positive impact
- Threatening the existence of an animal has a negative impact on that animal
- Quills are a kind of defense mechanism
- Quills are part of a porcupine |
Sentence two "aloud in front of the man." rephrases sentence one's "aloud as a man stands behind her."
| Yes | esnli | Given the statement "A woman is reading a piece of paper aloud as a man stands behind her.", what is the statement "The woman is reading aloud in front of the man." true?
- Yes
- No
- Unknown |
A plant requires sunlight to grow.
Plants need air, plants need air.
Grass needs air and sunlight. | d | qasc | What two things does grass require?
Options:
a: Sand and rocks
b: Milk and cookies
c: bloom time
d: Sun and air
e: sunlight
f: Bodily water
g: nutrients
h: Darkness and coldness |
An equilibrium can also be disrupted by the full or partial removal of a reactant or product. If the concentration of a substance is decreased, the system will respond by favoring the reaction that replaces that substance. In the industrial Haber-Bosch process, NH 3 is removed from the equilibrium system as the reaction proceeds. As a result, the forward reaction is favored so that more NH 3 will be produced. The concentrations of N 2 and H 2 decrease. Continued removal of NH 3 will eventually force the reaction to go to completion until all of the reactants are used up. If either N 2 or H 2 were removed from the equilibrium system, the reverse reaction would be favored, and the concentration of NH 3 would decrease. | Jennifer's | ropes | Context: Jennifer and Justin are examining the principle of chemical equilibrium in their second year organic chemistry course. They are performing a reaction that involves hydrogen gas and glucose as the starting reactants, and the products formed in the reaction are carbon dioxide and oxygen gas. Jennifer and Justin add the materials, and then wait until the reaction has reached equilibrium. Afterwards, Jennifer removes glucose from her reaction mixture, while Justin removes carbon dioxide from his reaction mixture.
Question: Which person's reaction, Jennifer's or Justin's, will begin producing less carbon dioxide? |
Freshwater biomes have water that contains little or no salt.
Estuaries display characteristics of both marine and freshwater biomes.
Freshwater environments have little salt. | [5] | qasc | what do freshwater environments have little of?
[1] nektar
[2] sand
[3] nitrogen
[4] fungi
[5] salt
[6] Acids
[7] Carbon
[8] water |
$$19350=$$奇数$$+$$奇数$$+$$偶数，所以$$3$$个质数中必定有一个是$$2$$； 由于质数中除了$$2$$、$$5$$以外，其他的质数都以$$1$$、$$3$$、$$7$$、$$9$$结尾，因此它们的平方末尾相应为$$1$$、$$9$$、$$9$$、$$1$$，相加后不可能得到$$6$$，而$$5$$的平方个位还是$$5$$，所以其中一个奇数必定为$$5$$．$$19350-4-25=19321$$，$$139$$的平方是$$19321$$，$$2+5+139=146$$． | B | TAL-SCQ5K | 质数$$a$$、$$b$$、$$c$$满足：$${{a}^{2}}+{{b}^{2}}+{{c}^{2}}=19350$$，则$$a+b+c=$$．
Options:
A: $$128$$
B: $$146$$
C: $$185$$
D: $$149$$ |
A photo of seven young girls may not be a school photo. A photo of seven young girls may be a school photo. A dark background may not necessarily be filled with stars. A dark background may be filled with stars. Not all photos are necessarily taken at school.
| Unknown | esnli | Context: Seven young girls are posed for a photo opportunity, with a dark background and a very shiny floor.
Hypothesis: Seven young girls posing for a school photo in front of a dark background filled with stars and a shiny floor at their school.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Just because there is a girl and a child are smiling does not necessarily mean they are posing for a family photo.
| Unknown | esnli | Context: "A girl wearing a pink shirt and overalls is smiling and there is another child that is out of focus."
Hypothesis: A girl and a child are posing for a family photo.
Based on the context, is the hypothesis true, false, or unknown? |
Attractive defines someone who is good looking. A woman is another word for lady. A fence is a type of enclosure.
| No | esnli | Given the statement "a attrative woman climbs over a fence.", is the statement "A good looking lady climbs over an enclosure." wrong?
- Yes
- No
- Unknown |
Number of pages in book is directly proportional to the the thickness of the book | Yes | 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.
Question: Is the following statement plausible?
Thickness of Physics book could be 24 units. |
The environment of the moon is not suitable for human travel. | "the moon can be used as a tourist destination" | senmaking | Of the following two sentences, which one is against common sense?
* "the moon can be used as a tourist destination"
* "japan can be used as a tourist destination" |
Declines in population size can result in a loss of genetic diversity, and owing to genetic variation's role in the evolutionary potential of a species, this could in turn result in an observable Allee effect. As a species' population becomes smaller, its gene pool will be reduced in size as well. One possible outcome from this genetic bottleneck is a reduction in fitness of the species through the process of genetic drift, as well as inbreeding depression. This overall fitness decrease of a species is caused by an accumulation of deleterious mutations throughout the population. Genetic variation within a species could range from beneficial to detrimental. Nevertheless, in a smaller sized gene pool, there is a higher chance of a stochastic event in which deleterious alleles become fixed (genetic drift). While evolutionary theory states that expressed deleterious alleles should be purged through natural selection, purging would be most efficient only at eliminating alleles that are highly detrimental or harmful. Mildly deleterious alleles such as those that act later in life would be less likely to be removed by natural selection, and conversely, newly acquired beneficial mutations are more likely to be lost by random chance in smaller genetic pools than larger ones.Although the long-term population persistence of several species with low genetic variation has recently prompted debate on the generality of inbreeding depression, there are various empirical evidences for genetic Allee effects. One such case was observed in the endangered Florida panther (Puma concolor coryi). The Florida panther experienced a genetic bottleneck in the early 1990s where the population was reduced to ≈25 adult individuals. This reduction in genetic diversity was correlated with defects that include lower sperm quality, abnormal testosterone levels, cowlicks, and kinked tails. In response, a genetic rescue plan was put in motion and several female pumas from Texas were introduced into the Florida population. This action quickly led to the reduction in the prevalence of the defects previously associated with inbreeding depression. Although the timescale for this inbreeding depression is larger than of those more immediate Allee effects, it has significant implications on the long-term persistence of a species. | Will | ropes | Consider the following text:
Bobby and Will were two friends attending a genetics course. Bobby studied a small, isolated group of mammals. Will studied a large, healthy population of the same species.
Which person didn't observe any loss in genetic diversity? |
You cannot run on the cycle, you can only bike on it. | b | senmaking | Of the following two sentences, which one is against common sense?
a) "he is running on the tread mill in the gym"
b) "he is running on the cycle in the gym" |
The total of men in sentence two and sentence three are the same because "three men" is the same as a "man...with two other men".
| No | esnli | Given the statement "Three men are in a kitchen, and one is making a pizza", is the statement "A man is making a pizza in the kitche with two other men." wrong?
- Yes
- No
- Unknown |
0.08km=80m；80m=80000mm | D | TAL-SCQ5K | How many millimetres are there in $$0.08$$ kilometres?
Options:
A: $$\rm 80 mm$$
B: $$\rm 800 mm$$
C: $$\rm 8000 mm$$
D: $$\rm 80000 mm$$ |
Woman is singular while everybody implies more than one. Smiling and frowning cannot be done simultaneously.
| False | esnli | Context: "Woman inside of a food truck smiles out of the window." Claim: "Everybody who is shown is frowning."
Considering the context, is the claim true, false, or unknown? |
A child is not two adults, and being by a stream means that they can not be inside watching a movie.
| False | esnli | Context: "A child in blue and a child in white stand on a short concrete wall by a stream." Claim: "Two adults are inside watching a movie."
Considering the context, is the claim true, false, or unknown? |
You cannot infer that the man who is dressed as a cowboy falls down and he is not necessarily a rodeo dressed cowboy.
| Unknown | esnli | Context: "A leather dressed rodeo cowboy stars blankly, while people look on from outside the ring." Claim: "a man dressed as a cowboy falls down while people watch"
Considering the context, is the claim true, false, or unknown? |
One cannot gain any knowledge by playing video games. | B | senmaking | Choose the sentence that goes against common sense.
Options:
A) "the quest for knowledge would make you want to read a book"
B) "the quest for knowledge would make you want to play vedio games" |
In nature, when the population size is small, there is usually plenty of food and other resources for each individual. When there is plenty of food and other resources, organisms can easily reproduce, so the birth rate is high. As the population increases, the food supply, or the supply of another necessary resource, may decrease. When necessary resources, such as food, decrease, some individuals will die. Overall, the population cannot reproduce at the same rate, so the birth rates drop. This will cause the population growth rate to decrease. | Country b | ropes | John is studying a species in two similar countries, country A and country B. Country A has large population, but country B has small population of that species. John is pondering about how this species would fare in the future in these two countries.
In which country the growth rate of the species would be higher, country A or country B? |
Most people would be jealous upon hearing that their friend is moving away and leaving them behind and especially when its a city of possibilities like New York | False | FLUTE | Context: "I was really wishing I was moving to New York like my friend."
Hypothesis: I wasn't jealous at all when my friend told me that she is moving to New York leaving me behind.
Based on the context, is the hypothesis true, false, or unknown? |
We can use the distributive property to avoid having to convert our mixed number to a fraction: \begin{align*}
6 \cdot 8\frac{1}{3} &= 6 \cdot \left(8 + \frac{1}{3}\right)\\
&= 48 + 6 \cdot\frac{1}{3}\\
&= 48 + \frac{6}{3}\\
&= 48 + 2\\
&= 50.
\end{align*} | $50$ | competition-math | Calculate $6 \cdot 8\frac{1}{3}$. |
Answer :The fact that the woman is standing in front of a brick building does not necessarily imply that she is waiting next to a door.
| Unknown | esnli | Context: "A woman wearing a short skirt, yellow top, and denim jacket stands in front of a brick building covered with worn out signs."
Hypothesis: The woman is waiting next to a door.
Based on the context, is the hypothesis true, false, or unknown? |
A cross country skier skiing on the hillside does not imply he is trying to qualify for the olympics.
| I don't know | esnli | Given the statement "A crosscountry skier with a backpack skies across a snow covered hillside.", is the statement "A skier is trying to qualify for the cross country olympics." is true?
- Yes
- No
- I don't know |
Just because a bald man in a black jacket and black pants holding a microphone singing with a man in a black shirt and jeans playing an electric guitar on stage does not mean they are two famous rock stars.
| Unknown | esnli | Context: "A bald man in a black jacket and black pants holding a microphone singing with a man in a black shirt and jeans playing an electric guitar on stage." Claim: "Two famous rock stars are singing and playing guitar together."
Considering the context, is the claim true, false, or unknown? |
Even though the woman is content, she is not necessarily enjoying herself. She is not necessarily at an afternoon concert.
| Unknown | esnli | Given the statement "An elderly woman sits contently in a chair as she rests her foot on her walker.", what is the statement "The old lady is enjoying an afternoon concert." true?
- Yes
- No
- Unknown |
There is a man in front of the cafe which is also a business. The tree has been described as having pink flowers and being in front of the building.
| No | esnli | Consider the statement "A young man is standing in front of the Candy Cafe with a small tree with pink flowers in the front of the building.". Is the statement "A guy is in front of a business. A tree with flowers is in front." false? Yes/no/unknown |
The general trend in electronegativity is that the value increases from left to right across a row in the periodic table and decreases down a column. The most electronegative element is fluorine, which has a value of 4.0. As discussed in the lesson "Trends in the Periodic Table," electronegativity increases across a row as the number of protons in the nucleus increases and therefore has a stronger pull. Electronegativity decreases down a column due to an increased effect of electron shielding in larger atoms. | Element a | ropes | Mike has to learn more about the periodic table for his chemistry exam. To make things easier for him he chose two elements from the table, element A and element B. Element A has higher electronegativity and element B has lower eletronegativity. David found it easier to learn about elements by comparing their properties.
Which element would have decreased effect of electron shielding, element A or element B? |
Not all helmet is pink. Just because a girl wearing a pink skateboard helmet is riding in a skateboard bowl dos not mean that she is the best in her class.
| Unknown | esnli | Context: A girl wearing a pink skateboard helmet is riding in a skateboard bowl.
Hypothesis: The girl in the skateboard bowl with the pink helmet is the best in her class.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |