rationale
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If they are trying to open a gift, then it would be logical to assume that they might be struggling.
Yes
esnli
Context: Three children and trying to open a gift. Hypothesis: Three children are struggling to open a gift Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
If the boy hits a piece of metal, he can't be holding a snowcone in one hand, and a slurpee in the other.
False
esnli
Context: "A young boy, wearing suspenders and a red flannel shirt, hits a piece of metal on an anvil." Claim: "A kid holds a snowcone in one hand and a slurpee in the other." Considering the context, is the claim true, false, or unknown?
Just because a boy is jumping into a pool with a life jacket dose not necessarily mean he is learning to swim he could be playing in the water.
Unknown
esnli
Context: "A little boy in a life jacket jumping into a pool." Claim: "The little boy is learning to swim." Considering the context, is the claim true, false, or unknown?
Two women implies that the people are female, two men implies that they are male. Embracing is a different action than dancing.
Yes
esnli
Given the statement "A person's head is in the foreground while two women embrace in the background and look at the camera.", is the statement "Two men dance in front of a camera." wrong? - Yes - No - Unknown
$$1.2+8.9=10.1$$
D
TAL-SCQ5K
The number that is 8.9 larger than 1.2 is. A) $$7.7$$ B) $$9.1$$ C) $$9.7$$ D) $$10.1$$ E) $$9.9$$
Just because the boy is holding a mallet does not mean that he is hammering a nail. He could just be holding the mallet.
I don't know
esnli
Given the statement "A young blond boy holds a mallet in front of his face.", is the statement "The young boy is hammering a nail." is true? - Yes - No - I don't know
The one can be either on the clifftop or by the clifftop. The one can be either camping or trying to fly.
No
esnli
Consider the statement "Woman on the clifftop trying to fly.". Based on this "The woman is camping by the clifftop." a true statement? Yes, no, or I don't know?
甲、乙两队第一阶段完成了$$\left( \frac{1}{16}+\frac{1}{24} \right)\times 4=\frac{5}{12}$$,乙队第二阶段需要$$\left( 1-\frac{5}{12} \right)\div \frac{1}{24}=14$$天.
D
TAL-SCQ5K
市政府要修建一条新地铁线路,其中一段交给甲、乙两个工程队完成.甲工程队每天能完成整个工程任务的$$\frac{1}{16}$$,乙工程队每天能完成整个工程任务的$$\frac{1}{24}$$.现在两队合作$$4$$天后,甲工程队被抽调离开,由乙队独自完成剩下的部分需要(~ )天.~ A) $$8$$ B) $$10$$ C) $$12$$ D) $$14$$
If the man is holding a sign offering free beer coupons, the sign is not urging people to repent of various sins.
False
esnli
Context: "A black man stands behind a garbage can with his hand raised in front of a sign urging people to repent of various sins as boy in a school blazer holds the hand of a man in shorts." Claim: "A man is holding a sign offering coupons for free beer." Considering the context, is the claim true, false, or unknown?
Just because dogs are pulling a sled across the snow that does not mean they are competing in the iditarod.
Unknown
esnli
Given the statement "Dogs are pulling a sled across the snow.", is the statement "dogs compete in the idditarod" wrong? - Yes - No - Unknown
If the soccer player is dead it can't be looking. The action of looking would require the soccer player to be alive.
Yes
esnli
Context: Number 3 at a soccer game is looking to see where to put the ball back into play from the sideline. Hypothesis: the soccer player is dead Is the hypothesis incorrect? (Yes, no, or unknown)?
A meat locker is a room where meat is kept cold and fresh, so it would be strange for the fourth floor to be hotter than the rest
No
FLUTE
Consider the staetement "The fourth floor was much hotter than the rest.". Based on this statement, is "The fourth floor was like a meat locker." a true statement? Yes/no/unknown
A lone leaf in the dead of winter would be shaking in the wind, not standing still
Yes
FLUTE
Consider the statement "I was standing still with terror when the next earthquake hit.". Is the statement "When the next tremor of terror tore though me, it made a very physical appearance when I was like a lone leaf in the dead of winter." false? Yes/no/unknown
The total distance D traveled by John is given by D = 45 * 2 + 3 * 55 = 255 miles.
c
aqua
John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive? Options: a) 235 miles. b) 245 miles. c) 255 miles. d) 265 miles. e) 275 miles.
To take a bubble bath in a bathtub a person must have some bubble liquid as well as water, bubbles will not be made if there is no water.
No
esnli
Context: A man with a mustache is taking a bubble bath in a bathtub and he is covered in bubbles. Hypothesis: There is no water. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
There were 10 eggs but 5 of them were used so, there are 10 - 5 = 5 eggs. Then the two chickens laid 2 * 3 = 6 eggs in total. Thus, the family has 5 + 6 = 11 eggs now.
11
gsm8k
A family had 10 eggs, but the mother used 5 of them to make an omelet. Then, 2 chickens laid 3 eggs each. How many eggs does the family have now?
Just because the woman is singing and playing her guitar does not mean she is performing in a concert.
I don't know
esnli
Context: A woman is playing a guitar and singing. Hypothesis: A musician is performing at a concert. Given this context, is the hypothesis true (Yes/No/I don't know)?
All that is known about the bride and groom is that they are looking at one another at a church. From the information given, one cannot inferred that they are childhood sweethearts that have just been married, and are going on a European honeymoon.
Unknown
esnli
Consider the staetement "A bride and groom stand in front of a church display while looking at one another.". Based on this statement, is "These childhood sweethearts have just been married, and are about to go on a European honeymoon." a true statement? Yes/no/unknown
Completing a circuit causes electricity to flow through that circuit. When electric current is flowing, power is produced. Power is produced when a circuit is completed.
f
qasc
Power is produced when what happens? Options: a. circuit is opened b. circuit is broken c. heating liquids d. forest is destroyed e. circuit is burned out f. circuit is completed g. heat energy h. chemical reaction
Crystals do not grow on flowers or plants.
"natural roses have crystals"
senmaking
Which of the following sentences is nonsensical? - "natural roses have crystals" - "natural roses have thorns"
The fact that a man in a white hoodie doing an skateboard trick doesn't imply that he is skateboarding with his friends.
Unknown
esnli
Context: A man in a white hoodie doing an skateboard trick on two stairs. Hypothesis: A man is skateboarding with his friends. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
Just because two men are standing across from building doesn't imply they are across from the department store
Unknown
esnli
Given the statement "Two men stand on the side of a street across from a building.", is the statement "Two men are standing across from the department store." wrong? - Yes - No - Unknown
The pool holds 5000 gallons of water because 50 x 100 = 5000 Every gallon costs $.001 because $.01/10 = $.001 It costs $5 to fill the pool because 5000 x $.001 = $5
5
gsm8k
Toby is filling his swimming pool for the summer. The pool normally takes 50 hours to fill. He knows his hose runs at 100 gallons per hour. Water costs 1 cent for 10 gallons. How many dollars does it cost to fill the pool?
Although the woman is sticking a ball with her stick she may not be about the score the game-winning goal.
Unknown
esnli
Context: "A woman hockey player in an orange strip is striking the ball with her stick." Hypothesis: A hockey player is about to score the game-winning goal. Based on the context, is the hypothesis true, false, or unknown?
Girl throws softball to a girl as the girl in a uniform and helmet runs, therefore girls are playing a sport.
Yes
esnli
Given the statement "A girl wearing a blue short and yellow shirt uniform throws a yellow softball while a girl in a black and red short uniform and red helmet runs.", is the statement "Girls are playing a sport." is true? - Yes - No - I don't know
To tilt the balance of power means to shift it in favor of one side or the other, while not affect the balance of power means to it will not tilt.
Yes
FLUTE
Given the statement "The outcome of this event would not affect the balance of power.", is the statement "These events could tilt the balance of power." wrong? - Yes - No - Unknown
Just because a person is working on a sculpture does not mean that he has been hired by the mayor of the town.
Unknown
esnli
Context: White-haired man works on sculpture. Hypothesis: The person working on the scultpure has been hired by the mayor of the town. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
Often, foreign exchange controls can result in the creation of black markets to exchange the weaker currency for stronger currencies. This leads to a situation where the exchange rate for the foreign currency is much higher than the rate set by the government, and therefore creates a shadow currency exchange market. As such, it is unclear whether governments have the ability to enact effective exchange controls.[1]
Pakistan
ropes
Context: Pakistan tried to control the foreign exchange market and India didn't. By creating the foreign exchange control department, Pakistan tried to stop the devaluation of their currency. India chose to not interfere and let the exchange market regulate itself. Question: Which country had a higher exchange rate for currencies?
A dog does not have to be yellow. Just because a dog is running down a sandy and snowy hill it does not mean it is pulling a sled.
Unknown
esnli
Context: "A yellow dog is running down a sandy and snowy hill." Hypothesis: The dog is pulling a sled. Based on the context, is the hypothesis true, false, or unknown?
- Water is the solvent - Evaporation can be used to separate a solution by allowing the solvent to evaporate - So, the solute water will evaporate from the solution - The solute water will evaporate from the solution - If the solvent evaporates, the solute will be separated from the solution - Therefore, the solute will be separated from the solution - The solute will be separated from the solution - Sugar is the solute - Hence, sugar will be separated from the solution Therefore, sugar will be separated from the solution
Evaporating the water
entailment_bank
[Question]Which process will separate the sugar from a mixture of sugar and water? [Context]- If the solvent evaporates, the solute will be separated from the solution - Water is the solvent - Evaporation can be used to separate a solution by allowing the solvent to evaporate - Sugar is the solute
Two men, both in red shirts, one in midair while playing basketball doesn't mean that they are competing for some money.
Unknown
esnli
Given the statement "Two men, both in red shirts, one in midair while they are playing basketball.", is the statement "Men are competing for some money." wrong? - Yes - No - Unknown
Just because the lady is sitting on the sidewalk does not mean she wonders what to have for dinner.
Unknown
esnli
Given the statement "An elderly woman sits on the sidewalk against a dirty wall with her legs crossed and her hands in her lap.", is the statement "a woman wonders what to have for dinner" wrong? - Yes - No - Unknown
The photographer is kneeling in front of a railing, and the railing is by water. The man is hiking a mountain. They are doing different things at different places.
False
esnli
Context: "A photographer is kneeling in front of a railing that is protects falling into water." Claim: "A man is hiking a mountain." Considering the context, is the claim true, false, or unknown?
First find how many packages the second center processes per day: 10000 packages/day * 3 = 30000 packages/day Then add the packages the first center processes: 30000 packages/day + 10000 packages/day = 40000 packages/day Then multiply the number of packages by Amazon's profit per package to find Amazon's daily profit: 40000 packages/day * $0.05/package = $2000/day Then multiply the daily profits by the number of days in a week to find the weekly profits: $2000/day * 7 days/week = $14000/week
14000
gsm8k
Gary manages two Amazon distribution centers. The first center processes 10000 packages per day, and the second center processes three times that volume. If Amazon makes 5 cents of profit per package, how much profit per week do the two centers make combined?
A child is one of many, the child is one in particular; jumping is not the same as playing dress up.
False
esnli
Context: "A child in a red outfit jumping on a trampoline." Claim: "The child is playing dress up in his bedroom." Considering the context, is the claim true, false, or unknown?
A butterfly's wings flutter rapidly, so comparing her heart to butterfly wings implies her heart was beating weakly and quickly, not slowly and steadily
Yes
FLUTE
Consider the statement "Her heart was beating slowly and steadily inside her ribs.". Is the statement "Her heart fluttered in her ribs like a butterflys wings ." false? Yes/no/unknown
"a man is recording another man" is a less descriptive version of "A man in a black shirt is making a video recording of another man in a black shirt."
Yes
esnli
Consider the statement "A man in a black shirt is making a video recording of another man in a black shirt.". Based on this "a man is recording another man" a true statement? Yes, no, or I don't know?
Psychotherapy is useful for couples navigating relationship issues. Grief is a common reason that people seek psychotherapy.
Yes
strategyqa
Do some psychotherapy patients have no mental illness?
Sam has 8 marbles left after giving 3 marbles/person x 2 people = 6 marbles to Sally and Steve. Hence, Sam had 8 marbles + 6 marbles = 14 marbles in the beginning. Sam had twice as many marbles as Steve, therefore Steve has 14 marbles / 2 = 7 marbles in the beginning. So now, Steve has a total of 7 marbles + 3 marbles = 10 marbles after Sam gave him 3 marbles.
10
gsm8k
Sally, Sam, and Steve went to play with their marbles. In the beginning, Sam has twice as many marbles as Steve while Sally has 5 less than Sam. After Sam has given Sally and Steve 3 marbles each, Sam has 8 marbles left. How many marbles does Steve have now?
为了简化计算,我们常把一些数拆开来使它与其他数字之和是整十、整百、整千$$ \cdots ~\cdots $$这种方法叫作借数凑整法,我们发现如果将$$1258$$和$$159$$分别拆成$$1250 + 8$$和$$150 + 9$$时,便可以凑出整百,$$365$$可以拆成$$360 + 5$$,也可以拆成$$370 - 5$$,但是由于后面要加上$$230$$,所以拆成$$370 - 5$$时会与$$230$$凑成整百,所以总的花费 $$ = \left( 1250 + 150 \right) + \left( 370 + 230 \right) + \left( 8 + 9 - 5 \right) = 1400 + 600 + 12 = 2012$$(元).
a
TAL-SCQ5K
~周末,妈妈去商场买了一些家庭用品,分别是洗衣机($$1258$$元)、台灯($$59$$元)、电饭煲($$365$$元)、电吹风($$230$$元),这些用品一共需要花费(~)元. a: $$2012$$ b: $$2013$$ c: $$2014$$ d: $$2022$$
The boy could leap for many reasons (playing a game, wasn't watching where he was going), not just to show off.
Unknown
esnli
Context: A boy is leaping over a blue hose pipe as a little girl watches. Hypothesis: A boy is showing off. Is the hypothesis incorrect? (Yes, no, or unknown)?
Many member of a sports league, some in white and some in red stripes, walk about on a green grassy field does not mean that they are competing in the championship game.
Unknown
esnli
Given the statement "Many member of a sports league, some in white and some in red stripes, walk about on a green grassy field.", what is the statement "A group of people competing in the championship game." true? - Yes - No - Unknown
If a child is chewing grass and there is a horse in the background then a child is chewing on grass in front of a horse.
Yes
esnli
Context: A young child in a red shirt is chewing a stem of grass and there is a horse in the background. Hypothesis: A child in a red shirt chews on some grass in front of a horse. Given this context, is the hypothesis true (Yes/No/I don't know)?
''A woman in a surgical mask holds a very small baby. '' is a synonym of '' A woman comforts a small baby. ''
No
esnli
Given the statement "A woman in a surgical mask holds a very small baby.", is the statement "A woman comforts a small baby." wrong? - Yes - No - Unknown
Mount Everest is too big for a person to jump over.
1
senmaking
Of the following two sentences, which one is against common sense? 1. "the athlete jumped over mount everest." 2. "the athlete successfully jumped over the high jump."
If the men are in midair after jumping off a picnic table, then they are not making dinner at home.
False
esnli
Context: "Two men in midair after jumping off a picnic table." Claim: "A couple is making dinner at home." Considering the context, is the claim true, false, or unknown?
A young man is riding a half pipe on a skateboard as a another young man rides a bicycle that doesn't make them friends.
Unknown
esnli
Context: A young man is riding a half pipe on a skateboard as a another young man rides a bicycle in the background. Hypothesis: Two friends are playing at a skate park. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
There are $$10$$ sevens in the unit digit, $$10$$ seventys, $$9$$ fives in the units (as fifteen is not fiveteen) plus eleven and twelve.
(d)
TAL-SCQ5K
If I write all the whole numbers from $$1$$ to $$100$$ in words, how many times will I write the letter V? (a) $$19$$ (b) $$29$$ (c) $$30$$ (d) $$31$$ (e) $$32$$
If the first car was made 10 years earlier than the second car, then the manufacture date for the second car is 1970+10 = 1980 The third car was manufactured 20 years after the second car was made, which is 1980+20 = 2000
2000
gsm8k
Three old cars displayed in an auction event have different manufacture dates. The first car, made in 1970, was made 10 years earlier than the second car. The third car was manufactured 20 years later after the second car was manufactured. Calculate the year that the third car was made.
Huge amounts of chemicals, such as fertilizers and pesticides, are applied to farm fields (see Figure below ). Some of the chemicals are picked up by rainwater. Runoff then carries the chemicals to nearby rivers or lakes. Dissolved fertilizer causes too much growth of water plants and algae. This can lead to dead zones where nothing can live in lakes and at the mouths of rivers. Some of the chemicals can infiltrate into groundwater. The contaminated water comes up in water wells. If people drink the polluted water, they may get sick.
Lake hijem
ropes
Lucas is sitting between two lakes, lake Hijem and lake Rarsnap, holding a large bag of fertilizer. His neighbor told him to pour the bag of fertilizer in one of the two lakes, but Lucas can't remember which lake he was told to pour it in. Lucas decides to just guess rather than ask for clarification and pours the whole bag of fertilizer into lake Hijem. Based on the above, answer the following question: Which lake will have more dead zones?
- Heat energy can change the state of matter - Heat is a kind of heat energy - Therefore, heat can change the state of matter - Heat can change the state of matter - Solid is a kind of state of matter - Liquid is a kind of state of matter - Therefore, heat can change a substance from a solid to liquid - Heat can change a substance from a solid to liquid - Melting means a substance changes from a solid into a liquid by increasing heat energy - Hence, heat can cause a solid substance to melt - Heat can cause a solid substance to melt - Ice is a kind of solid - Hence, heat can cause ice to melt - Heat can cause ice to melt - The sun is a source of radiation / heat called sunlight - Therefore, the heat from the sunlight cause ice to melt So, the heat from the sunlight cause ice to melt
heat.
entailment_bank
Question A student had a cup of ice while working outside. After a while, the ice melted because the Sun emits energy in the form of light and Context - Ice is a kind of solid - Melting means a substance changes from a solid into a liquid by increasing heat energy - Heat energy can change the state of matter - Heat is a kind of heat energy - Solid is a kind of state of matter - The sun is a source of radiation / heat called sunlight - Liquid is a kind of state of matter
A team chasing a member of a different team who's holding a ball constitutes a ball game. The action would also constitute playing.
No
esnli
Context: A team in black, the Knights, chases after a member of the unnamed white team who is holding the ball; one Knight and one other white team member is on the ground, while the other members chase the ball-bearer. Hypothesis: People are playing a ball game. Is the hypothesis incorrect? (Yes, no, or unknown)?
First find the total number of hours Brendan works for the 8-hour shifts: 2 shifts * 8 hours/shift = 16 hours Then find the total number of hours Brendan works by adding those hours to the 12-hour shift: 16 hours + 12 hours = 28 hours Now find Brendan's total wage earnings by multiplying his $6/hour wage by the number of hours he works: $6/hour * 28 hours = $168/week Now figure out how much Brendan makes in tips by multiplying the number of hours he works by the amount of tips he makes per hour: $12/hour * 28 hours/week = $336/week Now divide that number by 3, since Brendan only reports a third of his tips: $336/week / 3 = $112/week Now add Brendan's wage earnings to that number to find how much income he reports to the IRS each week: $168/week + $112/week = $280/week Finally, multiply Brendan's reported income by his tax rate to find how much he pays in taxes each week: $280/week * .2 = $56/week
56
gsm8k
Brendan makes $6/hour as a waiter. He's scheduled for 2 8-hour shifts and 1 12-hour shift this week. He also makes an average of $12 in tips each hour. Brendan is supposed to pay 20% of his income in taxes, but he only reports 1/3rd of his tips to the IRS. How much money does Brendan pay in taxes each week?
A car is for transportation and not for doing laundry.
A
senmaking
Which of the following two sentences does not make sense? A) "he washed clothes in car" B) "he washed clothes in washing machine"
Sentence one its is a guy playing bagpipes while in sentence two the woman is playing an instrument along with the guy
No
esnli
Given the statement "A guy is playing the bagpipes while standing next to a woman in a light blue outfit with her belly button showing.", is the statement "The woman is playing an instrument along with the guy." is true? - Yes - No - I don't know
When the subtropical ridge in the Northwest Pacific is stronger than normal, it leads to a wet monsoon season for Asia.[18] The subtropical ridge position is linked to how far northward monsoon moisture and thunderstorms extend into the United States. Typically, the subtropical ridge across North America migrates far enough northward to begin monsoon conditions across the Desert Southwest from July to September.[19] When the subtropical ridge is farther north than normal towards the Four Corners, monsoon thunderstorms can spread northward into Arizona. When suppressed to the south, the atmosphere dries out across the Desert Southwest, causing a break in the monsoon regime.[20]
July 2019
ropes
2018 was a very wet year for the Four Corners area, because of the subtropical ridge, 2019, on the other hand was a dry year influenced by the same weather phenomenon that lacked strength in this year. Based on the above, answer the following question: Which month of the year was drier, July 2018 or July 2019?
We say Andy\textquotesingle s lawn has an area of $$x$$. Beth\textquotesingle s lawn thus has an area of $$\dfrac{x}{2}$$, and Carlos\textquotesingle s lawn has an area of $$\dfrac{x}{3}$$. We say Andy\textquotesingle s lawn mower cuts at a speed of $$y$$. Carlos\textquotesingle s cuts at a speed of $$\dfrac{y}{3}$$, and Beth\textquotesingle s cuts at a speed $$\dfrac{2y}{3}$$. Each person\textquotesingle s lawn is cut at a speed of $$\dfrac{\rm area}{\rm rate}$$, so Andy\textquotesingle s is cut in $$\dfrac{x}{y}$$ time, as is Carlos\textquotesingle s. Beth\textquotesingle s is cut in $$\dfrac{3}{4}\times\dfrac{x}{y}$$, so the first one to finish is Beth.
(b)
TAL-SCQ5K
$$2002-AMC12B-17$$ Andy's lawn has twice as much area as Beth's lawn and three times as much area as Carlos' lawn. Carlos' lawn mower cuts half as fast as Beth's mower and one third as fast as Andy's mower. If they all start to mow their lawns at the same time, who will finish first? 安迪的草坪面积是贝丝草坪的两倍,是卡洛斯草坪的三倍。 卡洛斯的割草机的割草速度是贝丝的割草机的一半,是安迪的割草机的三分之一。 如果他们同时开始修剪草坪,谁会先完成? Options: (a) Andy (b) Beth (c) Carlos (d) Andy and Carlos tie for first (e) All three tie
The women may not be coworkers. The objective may not be to buy coffee. Pretentious art may not be present. They may not be located in a coffee shop. The women may not think anything is ridiculously funny.
Unknown
esnli
Context: Three women, one with her back to the camera, laugh while standing in front of a wall with two framed photos and a chalkboard with prices. Hypothesis: Some coworkers went out to buy coffee and think the pretentious art at the coffee house is ridiculously funny. Is the hypothesis incorrect? (Yes, no, or unknown)?
Temperature increases with depth inside the Earth, so melting of rocks is more likely to occur at greater depths.
B
quartz
Mona is excavating a deep tunnel as part of an exploratory committee. As she travels upwards back from the Earth, what can she expect will happen to the temperature? A) increase B) decrease
令$$z=b\text{i}$$,不难算出$$\left\textbar{} z-\left\textbar{} z+1 \right\textbar{} \right\textbar=\sqrt{{{b}^{2}}+{{b}^{2}}+1}=\left\textbar{} z+\left\textbar{} z-1 \right\textbar{} \right\textbar$$,$$A$$对; 令$$z=0$$,显然$$\left\textbar{} z-\left\textbar{} z+1 \right\textbar{} \right\textbar=\left\textbar{} z+\left\textbar{} z-1 \right\textbar{} \right\textbar=1$$,$$B$$对; 设$$z=a+b\text{i}$$,由题意,$${{\left( a-\sqrt{{{\left( a+1 \right)}^{2}}+{{b}^{2}}} \right)}^{2}}={{\left( a+\sqrt{{{\left( a-1 \right)}^{2}}+{{b}^{2}}} \right)}^{2}}$$, 若$$a\geqslant 2$$,则$${{\left( a-\sqrt{{{\left( a+1 \right)}^{2}}+{{b}^{2}}} \right)}^{2}}\textless{}{{\left( a+1 \right)}^{2}}+{{b}^{2}}$$, 但$${{\left( a+\sqrt{{{\left( a-1 \right)}^{2}}+{{b}^{2}}} \right)}^{2}}\geqslant {{\left( a+\sqrt{1+{{b}^{2}}} \right)}^{2}}={{a}^{2}}+1+{{b}^{2}}+2a\sqrt{1+{{b}^{2}}}\geqslant {{a}^{2}}+1+{{b}^{2}}+2a={{\left( a+1 \right)}^{2}}+{{b}^{2}}$$, 矛盾,所以$$a\textless{}2$$,$$C$$对;
$$z$$的辐角可能为$$\frac{ \pi }{4}$$
TAL-SCQ5K
设复数$$z$$满足$$\left\textbar{} z-\left\textbar{} z+1 \right\textbar{} \right\textbar=\left\textbar{} z+\left\textbar{} z-1 \right\textbar{} \right\textbar$$,则下列判断错误的是. - $$z$$可能为纯虚数 - $$z$$可能为实数 - $$z$$的实部小于$$2$$ - $$z$$的辐角可能为$$\frac{ \pi }{4}$$
The Moon has a greater effect on the tides because, although it is much smaller than the Sun, it is much closer.
Tina
quartz
Tina had a large rock on the beach. Rich had a large rock 10 miles inland. The person with the rock that has more effect on the tides is Options: - Rich - Tina
Let x be the number of pairs of shoes that Becky owns. Since 13 pairs is 5 less than twice as many pairs as Becky owns, then the relationship is 2x-5=13. Adding 5 to each side of the equation, we get 2x=18. Solving for x, we get x=9. Since Bobby has 3 times as many pairs of shoes as Becky has, then Becky has 3*9=27 pairs of shoes.
27
gsm8k
Bonny just bought her 13th pair of shoes, which is 5 less than twice as many pairs of shoes as Becky owns. Bobby has 3 times as many pairs of shoes as Becky has. How many shoes does Bobby have?
The climber doesn't have to be a man, plus, the friend might be focusing on other parts of the equipment rather than filming.
Unknown
esnli
Context: "A person scales the rock while another focuses on equipment." Claim: "A man is climbing the rocks as his friend takes a video of it." Considering the context, is the claim true, false, or unknown?
You cannot be crossing a street while in a bus because the bus would be driving in the street not crossing it.
Yes
esnli
Given the statement "Two women, one in a blue shirt and one in a green shirt, are crossing a busy street with pans on top of their heads.", is the statement "The group of people are riding a tour bus." wrong? - Yes - No - Unknown
Amount of food required is directly proportional to the number of people.
Yes
feasibilityQA
Dylan started a canteen two days a week. On both days he cookd the same amount of food, but the food the first day was not sufficient for all the people came to his canteen. The number of people came on that day was 48. Q: Is it true that "The number of people came on the second day could be 43."
Earth orbiting the sun causes seasons to change. More than any other season, summer is a time of quick-changing weather patterns. Earth orbiting the sun causes quick-changing weather patterns.
orbiting the sun
qasc
Earth doing what causes quick-changing weather patterns? - orbiting the sun - Greenhouse gases - cycling the moon - global warming - soaking up rays - energy of moving objects - drifting in space - Movement
With higher frequencies, the microwaves also have more energy.
[A]
quartz
Tim adjusted his microwave so that it was at a lower frequency. This resulted in the waves inside the microwave to have Options: [A] less energy [B] more energy.
People here are three individuals and they are talking which can also be said as they are conversing
Yes
esnli
Given the statement "Three individuals are conversing.", is the statement "People are talking with each other." is true? - Yes - No - I don't know
It cannot be determined that the merchants table is at market square not that what is being sold are watches and jewelry.
Unknown
esnli
Given the statement "A man wearing glasses and a black shirt with the number four on it is walking by a merchants table while people behind him are looking at the items on the table.", what is the statement "A market square with vendors selling watches and jewelry." true? - Yes - No - Unknown
"A man sits in a wood structure" is another way of saying "A man dressed in clergy garb sits in a wooden structure"
Yes
esnli
Consider the staetement "A man dressed in clergy garb sits in a wooden structure.". Based on this statement, is "A man sits in a wood structure." a true statement? Yes/no/unknown
A little girl being taught how to ride a bicycle by her father is same as a man that is her father helps a little girl ride a bicycle
Yes
esnli
Context: A little girl wearing an orange and white dress is being taught how to ride her green-colored bicycle by her father. Hypothesis: A man helps a little girl ride a bicycle. Given this context, is the hypothesis true (Yes/No/I don't know)?
The man can't be standing behind the dog and washing it at the same time. He can't be in the pool and at the garage at the same time.
No
esnli
Consider the statement "A man is standing in the pool behind the dog that is swimming.". Based on this "The man is washing the dog by the garage with a hose." a true statement? Yes, no, or I don't know?
25% means quarter
No
feasibilityQA
Bentley has 40 dollars and spent more than 25% of this amount buying burgers. Q: Is it true that "Bentley could have spent 9 dollars on burgers"
A spatula cannot grab noodles as it is known for being smooth and slippery.
"we often use a spatula to eat noodles."
senmaking
One of the following sentences is nonsensical. Which one is it? "we often use chopsticks to eat noodles." "we often use a spatula to eat noodles."
Just because there are builders near an escalator doesn't indicate that they are going to work a long shift.
I don't know
esnli
Context: Builders wearing orange vests, white hard hats, and black coats stand near the top of an escalator, viewed through an office window. Hypothesis: They are ready to put in a long shift. Given this context, is the hypothesis true (Yes/No/I don't know)?
Just because some people walking past a food cart doesn't mean they walking toward the parade grounds.
Unknown
esnli
Context: "Several people walking past a food cart on a city street." Claim: "There are many people walking toward the parade grounds." Considering the context, is the claim true, false, or unknown?
当全打中时得$$20\times 5=100$$(分),没打中$$\left(100-51\right) \div \left(5+2\right) =7$$(枪),故打中$$20-7=13$$(枪)。
(d)
TAL-SCQ5K
小华玩射击游戏,打中一枪得$$5$$分,打不中倒扣$$2$$分,他打了$$20$$枪,共得$$51$$分,小华共打中了( )枪。 Options: (a) $$10$$ (b) $$11$$ (c) $$12$$ (d) $$13$$
To be under the sun means to be anywhere on earth, and in this context it is used to describe how her awareness dissipated until there was nothing left.
Yes
FLUTE
Given the statement "Awareness of her body dissipated like fog everywhere on earth until there was nothing left but the brick wall and an incessant pounding against it.", is the statement "Awareness of her body dissipated like fog under the sun until there was nothing left but the brick wall and an incessant pounding against it." is true? - Yes - No - I don't know
The dog cannot be digging and running at the same time since dogs use their forelegs to both run and dig.
Yes
esnli
Consider the statement "A dog is running through reeds towards the ocean.". Is the statement "The dog is digging through the trash in the alley of an urban environment." false? Yes/no/unknown
Jumping in a wooded area doesn't necessarily mean chasing, doesn't indicate a rabbit anywhere, and doesn't even indicate the direction of the jump (whether into or out of the woods).
Unknown
esnli
Context: A brown dog jumps in a wooded area. Hypothesis: He is chasing a rabbit into the woods. Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
Cannot just off a low wall while she is sleeping, sweater and tank top are different items of clothing
False
esnli
Context: "A happy little girl wearing a pink sweater white shirt, and black pants is jumping off a low wall with her arms spread out." Hypothesis: A girl in a tank top and shorts is sleeping. Based on the context, is the hypothesis true, false, or unknown?
It is common practice for marathon runners to wear shoes, not wearing any shoes would not be assumed to be the case.
I don't know
esnli
Given the statement "Three female marathon runners, jumping at the finish line on a closed highway.", is the statement "The female marathon runners are not wearing any shoes." is true? - Yes - No - I don't know
There may or may not be an officer and the man walking can be climbing up or down on different types of water.
Unknown
esnli
Context: "A hooded man with a beard is walking up concrete steps carrying a red bag as a policeman stares out at the water threatening to invade the steps." Claim: "A police officer is concerned for a man climbing the steps near raging water." Considering the context, is the claim true, false, or unknown?
The player is either about to grab an ice cream or the player is about to kick the ball but not both at the same time.
No
esnli
Given the statement "An American football punter is just about to kick the ball to the receiving team with the rest of his team running behind him.", what is the statement "the player is about to grab an ice cream" true? - Yes - No - Unknown
A cyclist looking on is watching. If a mechanic is working on a bike then it is likely that they are fixing the bike.
No
esnli
Context: A cyclist looking on while a team mechanic works on his bike. Hypothesis: The cyclist is watching his bike being fixed. Is the hypothesis incorrect? (Yes, no, or unknown)?
A house does not have actual living friends.
A
senmaking
Pick which sentence is not logical. Options: A) "he recognized the old friend of his house" B) "he recognized the old friend of his childhood"
Nuclear reactions in stars causes stars to produce light. Nuclear reactions convert mass to energy. Converting mass to energy in stars causes them to produce light.
c
qasc
what causes stars to produce light? a. by making heat b. Generating heat c. converting mass to energy d. photosyntehsis e. photosynthetic pigments? f. Evaporation of water g. heat production h. hydrogen and oxygen
It cannot be inferred that the woman just got off of a flight because she was walking in a terminal.
Unknown
esnli
Context: A woman walks threw a terminal of an airport. Hypothesis: woman just got off flight Is the hypothesis incorrect? (Yes, no, or unknown)?
原式$$=\left( 13+40 \right)+\left( 16+37 \right)+\left( 19+34 \right)+\left( 22+31 \right)+\left( 25+28 \right)$$ $$=53\times 5$$ $$=265$$. $$(13+40)\times 10\div 2=265$$.
(b)
TAL-SCQ5K
计算. $$13+16+19+22+ 25+ 28+31+34+37+40=$$. (a) $$286$$ (b) $$265$$ (c) $$258$$
If there are 19 humans for every one beaver, then there are 38 million/19=2 million beavers in Canada. And if for every one moose there are two beavers, then the moose population of Canada is 2 million/2=1 million.
1
gsm8k
In Canada, for every moose there are two beavers, and for every beaver there are 19 humans. If there are 38 million people in Canada, what is the moose population of Canada, in millions?
We can use the equation: divisor $$\times$$ quotient $$=$$ dividend $$-$$ remainder, so here we can get divisor $$\times$$ quotient $$=28-4=24$$. Therefore, the only possibilities are $$1$$ and $$24$$, $$2$$ and $$12$$, $$3$$ and $$8$$, and $$4$$ and $$6$$ for a total of four possible combinations.
4
TAL-SCQ5K
In the division expression $$28\div$$~\uline{~~~~~~~~~~}~$$=$$~\uline{~~~~~~~~~~}~$$\text{R}4$$, how many different combinations are there for the quotient and the divisor? 1) $$1$$ 2) $$2$$ 3) $$3$$ 4) $$4$$ 5) $$5$$
A magnet moving in a coil of copper wire can cause an electric current. Electricity is passed through the copper to magnetize the core. Copper can be magnetized.
(f)
qasc
what is used with copper to produce current? (a) a prism (b) energy (c) tube (d) two (e) chemicals (f) magnet (g) squeeze (h) coiled
A woman playing guitar for a crowd does not imply that she is playing smooth rock or that the crowd is enjoying it.
I don't know
esnli
Consider the statement "a crowd gathers around a lady with an acoustic guitar who is performing". Based on this "A crowd is enjoying the smooth rock playing by the acoustic guitar." a true statement? Yes, no, or I don't know?
Vinegar will make coffee more bitter and acidic.
"coffee is so bitter that she adds some vinegar"
senmaking
Of the following two sentences, which one is against common sense? * "coffee is so bitter that she adds some sugar" * "coffee is so bitter that she adds some vinegar"
将$$1\sim 20$$分成如下$$10$$组: $$\left( 1,20 \right)$$,$$\left( 2,19 \right)$$,$$\left( 3,18 \right)$$,$$\cdots \cdots $$,$$\left( 10,11 \right)$$,每组和均为$$21$$,根据抽屉原理,$$10$$组取$$11$$个数,至少有$$2$$个在同一组和为$$21$$,所以选 $$\text{C}$$.
(c)
TAL-SCQ5K
从$$1\sim 20$$这$$20$$个整数中任意取$$11$$个数,其中必有两个数的和等于(~ ~ ). (a) $$19$$ (b) $$20$$ (c) $$21$$ (d) $$22$$
one sentence meaTo be filled with something means to have a lot of it, while to be deserted with something means to have none of it.ns to fill up with joy whereas another sentence says to empty it.
False
FLUTE
Context: "Deserted with joy was Mudjekeewis." Hypothesis: Filled with joy was Mudjekeewis. Based on the context, is the hypothesis true, false, or unknown?
A well-seasoned superhero is one who has had a lot of experience and is therefore very tough and invincible.
No
FLUTE
Consider the statement "You've been invincible since the day you were born.". Is the statement "From the day you were born, you've been like a well-seasoned superhero." false? Yes/no/unknown
That a blond girl sits by the fireplace is a short version of a girl with blond-hair and blue eyes wearing a sweater sits next to a warm fire
Yes
esnli
Context: A little girl with blond-hair and blue eyes is wearing a sweater while she sits next to a warm fire. Hypothesis: a blonde girl sits by the fireplace Given this context, is the hypothesis true (Yes/No/I don't know)?
The major zones in river ecosystems are determined by the river bed's gradient or by the velocity of the current. Faster moving turbulent water typically contains greater concentrations of dissolved oxygen, which supports greater biodiversity than the slow moving water of pools. These distinctions form the basis for the division of rivers into upland and lowland rivers. The food base of streams within riparian forests is mostly derived from the trees, but wider streams and those that lack a canopy derive the majority of their food base from algae. Anadromous fish are also an important source of nutrients. Environmental threats to rivers include loss of water, dams, chemical pollution and introduced species. A dam produces negative effects that continue down the watershed. The most important negative effects are the reduction of spring flooding, which damages wetlands, and the retention of sediment, which leads to loss of deltaic wetlands.
River chaos
ropes
Context: Jill lives out in a peaceful quiet area with hardly any other people around. Next to her home is a calm peaceful river. The river doesn't have an official name that she is aware of, but her family has always called it River Treetop due to the large tree next to it. Also next to her house, there is a roaring river that runs for miles. The river is so loud that it can be hard to hear yourself think sometimes if you are sitting next to it. For this reason, Jill has always referred to the river as River Chaos. Q: Which body of water is more concentrated with dissolved oxygen?
A polar vortex is a large area of low pressure and cold air, so the stove getting as hot as a polar vortex would mean that it did not get hot at all.
True
FLUTE
Context: "The stove did not get hot." Claim: "the stove got as hot as a polar vortex" Considering the context, is the claim true, false, or unknown?