rationale
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With less ozone in the stratosphere, more UV rays reach the ground.
|
more
|
quartz
|
Carlos knows that there is less ozone in the stratosphere, and goes out on a sunny day. He puts on sunscreen knowing that the UV rays can reach the ground
- less
- more
|
Consumers take in food by eating producers or other living things.
Food food poisoning is avoidable.
Consumers can avoid poisoning by not eating. .
|
b
|
qasc
|
What will consumers avoid by not eating?
Options:
a: Sleeping
b: Poisoning
c: cigarettes
d: Smoking
e: Dehydration
f: Exercise
g: Starving
h: death
|
It is not implied that the boy biking with safety equipment is riding without his training wheels for the first time.
|
Unknown
|
esnli
|
Context: "The boy on the bike is wearing safety glasses and a helmet." Claim: "A boy goes without his training wheels on his bike for the first time."
Considering the context, is the claim true, false, or unknown?
|
Molecules of dna are encoded with instructions that tell cells what to do.
Genes are segments of dna molecules.
Gene segments are encoded with instructions that tell cells what to do.
|
4
|
qasc
|
what are encoded with instructions that tell cells what to do?
1. heat or cold
2. sensory neurons
3. a delta
4. gene segments
5. A Greek letter
6. to move people
7. lie detectors
8. Electrical energy
|
Biodiversity increases the productivity and stability of ecosystems.
Biodiversity is an incredibly powerful force that keeps species evolving.
A force that keeps species evolving increases the productivity and stability of ecosystems.
|
a
|
qasc
|
A force that keeps species what increases the productivity and stability of ecosystems?
Options:
a) evolving
b) protect them
c) recycling
d) ligt
e) animals
f) ferns
g) trees
h) heat
|
A man positioning a sheep for clipping with electric sheers cannot be under water at the same time.
|
False
|
esnli
|
Context: "A man in a green shirt positions a sheep for clipping with electric sheers."
Hypothesis: man under water
Based on the context, is the hypothesis true, false, or unknown?
|
A man gestures while facing a woman wearing glasses as they sit inside a restaurant that includes a yellow wall does not mean that they are about to have dinner together.
|
Unknown
|
esnli
|
Given the statement "A man gestures while facing a woman wearing glasses as they sit inside a restaurant that includes a yellow wall.", what is the statement "A man and a woman are about to have dinner together." true?
- Yes
- No
- Unknown
|
It is impossible to know what the men were looking at, thus they may not have been witnessing the traffic.
|
Unknown
|
esnli
|
Context: Several men, including one in a uniform with a white hat, are looking down a busy street as a pedestrian and pedaled passenger vehicle go by.
Hypothesis: Several men are witnessing the traffic as a pedestrian and pedaled passenger vehicle go by.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
|
When a person is not paying attention, they will not learn anything.
|
A
|
senmaking
|
Which of the following sentences is nonsensical?
A) "divergent attention improves learning efficiency"
B) "concentration improves learning efficiency"
|
A hard worker who gets paid well is a lucky worker; people are paid at different rates in different places for different work for any number of reasons. In this case, we do not even know if the man is getting paid at all, much less gets paid well.
|
I don't know
|
esnli
|
Consider the statement "The man with white hat is working so hard.". Based on this "The hard worker gets paid well." a true statement? Yes, no, or I don't know?
|
Having someone steal something from you is never a good thing and so being thankful for it is quite bizarre.
|
No
|
FLUTE
|
Context: Someone stole the stereo out of my car.
Hypothesis: Some kind person decided to steal my car stereo which makes really thankful
Given this context, is the hypothesis true (Yes/No/I don't know)?
|
To get wind of something means to become aware of it, especially if it's being kept secret, but in this sentence the paper would not find out about the bigamist marriage.
|
False
|
FLUTE
|
Context: "But then the paper would not find out about your bigamist marriage."
Hypothesis: But then the paper would get wind of your bigamist marriage.
Based on the context, is the hypothesis true, false, or unknown?
|
Either the dogs are playing with each other in leaves or they are deep ocean swimming. They cannot do both simultaneously.
|
Yes
|
esnli
|
Consider the statement "Two dogs play with each other in the leaves.". Is the statement "people and dogs are deep ocean swimming" false? Yes/no/unknown
|
The two kids are playing in water. The two kids are wet. The two kids are outside playing water so they are wet.
|
True
|
esnli
|
Context: "two kids playing in flood water." Claim: "Two wet children."
Considering the context, is the claim true, false, or unknown?
|
Jerry will spend 8 games x 2 hours per game = 16 hours watching one daughter play her games.
He will spend 16 x 2 = 32 hours watching both daughters play their games.
He will spend 8 games x 4 hours of practice = 32 hours watching one daughter practice.
He will spend 32 x 2 = 64 hours watching both daughters practice.
He will spend a total of 32 hours watching games + 64 hours watching practice = 96 hours.
|
96
|
gsm8k
|
Jerry’s two daughters play softball on different teams. They each have 8 games this season. Each team practices 4 hours for every game they play. If each game lasts for 2 hours, how many hours will Jerry spend at the field watching his daughters play and practice altogether?
|
Alfonso has to work for the $340 - $40 = $300.
In a week, he earns $6 x 5 = $30.
Thus, he needs to work $300/$30 = 10 weeks to buy the bike.
|
10
|
gsm8k
|
Alfonso earns $6 each day walking his aunt’s dog. He is saving to buy a mountain bike helmet for $340. Currently, he already has $40. If he walks his aunt's dog 5 days a week, in how many weeks should Alfonso work to buy his mountain bike?
|
Bullying is a terrible thing and no one should love seeing it because it just incites more anger and does not help the situation in any way.
|
False
|
FLUTE
|
Context: "Nothing makes me angrier than seeing bullying in any way, shape, or form." Claim: "I love seeing any type of bullying because it just makes the bully look so wonderful."
Considering the context, is the claim true, false, or unknown?
|
one sentence is comparing the sky to the heavens, which suggests that they are both high up and out of reach whereas another sentence contradicts this by saying that the heavens are far below him, which suggests that they are within reach.
|
No
|
FLUTE
|
Given the statement "Far below him swam the heavens.", is the statement "Far above him swam the heavens ," is true?
- Yes
- No
- I don't know
|
A soccer player waiting on a bench is not in play, while a soccer playing diving into the air is currently competing in a soccer game.
|
No
|
esnli
|
Given the statement "A soccer player in a red shirt in diving into the air.", is the statement "A soccer player is waiting on the bench" is true?
- Yes
- No
- I don't know
|
The six other players on the team averaged $3.5$ points each. The total of their points was $6\times 3.5=21.$ Vanessa scored the remainder of the points, or $48-21=27$ points.
|
$27$
|
competition-math
|
Vanessa set a school record for most points in a single basketball game when her team scored $48$ points. The six other players on her team averaged $3.5$ points each. How many points did Vanessa score to set her school record?
|
The two men can either be listening to their favorite band or play the trumpet together, but they cannot be doing both inside the car.
|
Yes
|
esnli
|
Consider the statement "Two guys, one wearing a blue jacket and the other wearing a red jersey play the trumpet together.". Is the statement "Two men listen to their favorite band while riding in the car." false? Yes/no/unknown
|
$$Nil$$
|
2
|
TAL-SCQ5K
|
Fill in the blanks with $$+$$, $$-$$, $$\times$$ or $$\div$$. $$(9+6)$$~\uline{~~~~~~~~~~}~$$7=8$$
1: $$+$$
2: $$-$$
3: $$\times$$
4: $$\div$$
|
Flowers attract pollinators, and fruits encourage animals to disperse the seeds.
Insect pollinators learn about pollination and why insect pollinators are important in the garden.
Flowers attract insects.
|
insects
|
qasc
|
Flowers attract
bees
parasites
electrons
insects
pollen
plant life
carbon
honeybees
|
Sentence 1: A lady and her coach practicing boxing in the park. Sentence 2: Two woman boxing in the park
|
Unknown
|
esnli
|
Context: "A lady and her coach practicing boxing in the park." Claim: "Two woman boxing in the park"
Considering the context, is the claim true, false, or unknown?
|
The person, who is either a man or a woman, is also either standing or sitting and not doing the two things at the same time.
|
False
|
esnli
|
Context: "A man is sitting by a window."
Hypothesis: A woman is standing outside a window.
Based on the context, is the hypothesis true, false, or unknown?
|
A tape measure is used to measure length.
With a tape measure, find the dimensions of the room.
Measure length to find the dimensions of the room.
|
[B]
|
qasc
|
measure the what of the room to find dimensions
Options:
[A] coordinates
[B] length
[C] density
[D] size
[E] matetials
[F] two
[G] feet
[H] design
|
$$8\div(8+32)=20\textbackslash\%$$. ~~
|
c
|
TAL-SCQ5K
|
A salt solution is made by mixing $$8$$ ounces of pure salt and $$32$$ ounces of water. Find the percent concentration of the solution.
a. $$10\textbackslash\%$$
b. $$15\textbackslash\%$$
c. $$20\textbackslash\%$$
d. $$25\textbackslash\%$$
|
Wrong: $$90 - A = 55$$ -\/-\textgreater{} $$A=90-55=35$$ Correct: $$75 - 35 = 40$$
|
B
|
TAL-SCQ5K
|
When Xiao Dong did the subtraction equation, he saw the minuend as $$90$$ instead of $$75$$, and the difference he got was $$55$$. The correct result should be~\uline{~~~~~~~~~~}~.
Options:
A) $$75$$
B) $$40$$
C) $$55$$
D) $$35$$
E) None of the above
|
Not all four women and three men are standing in a row in front of a white building each holding books are waiting to get into the building.
|
I don't know
|
esnli
|
Context: Four women and three men are standing in a row in front of a white building each holding books.
Hypothesis: A group of people are waiting to get into the building.
Given this context, is the hypothesis true (Yes/No/I don't know)?
|
When 500 new cases were recorded after the tests, the total number of positive cases increased to 2000 cases + 500 cases = 2500 cases.
With 50 recoveries, the total number of cases reduced to 2500 cases - 50 cases = 2450 cases.
On the third day, with 1500 new cases, the total number of cases became 2450 cases + 1500 cases = 3950 cases.
If 200 people recovered from the virus, the total number of people with Coronavirus became 3950 cases - 200 cases = 3750 cases
|
3750
|
gsm8k
|
After tests in California, the total number of Coronavirus cases was recorded as 2000 positive cases on a particular day. The number of cases increased by 500 on the second day, with 50 recoveries. On the third day, the total number of new cases spiked to 1500 with 200 recoveries. What's the total number of positive cases after the third day?
|
Just because a woman is looking in the direction of a group on men it does not mean the woman is waiting for her husband.
|
Unknown
|
esnli
|
Given the statement "A woman in a blue bathing suit lays on a towel in the sand looking in the direction of a group on men.", is the statement "The woman is waiting for her husband to finish talking." wrong?
- Yes
- No
- Unknown
|
Cake is solid and typically much larger than a cup.
|
"he poured cake into a cup"
|
senmaking
|
Which of these sentences doesn't make sense?
* "he poured cake into a cup"
* "he poured coffee into a cup"
|
Just because a men and woman are outside an urban residential area, does not mean they are looking at a new place to live.
|
I don't know
|
esnli
|
Context: Two men and a woman outside an urban residential area.
Hypothesis: The people are looking at a new place to live.
Given this context, is the hypothesis true (Yes/No/I don't know)?
|
A boy could be sitting on a tractor when he is playing or posing for a picture, etc. so it doesn't necessarily indicate that he is taking a break from working.
|
Unknown
|
esnli
|
Context: "A little blond boy in a Gap sweatshirt sits on a blue tractor."
Hypothesis: A boy is taking a break from working.
Based on the context, is the hypothesis true, false, or unknown?
|
The shirt cannot be both blue and pink. The man cannot be running down the road holding his pipe while also looking at his thumb while holding glasses.
|
No
|
esnli
|
Given the statement "Man in blue shirt and black pants is looking at his thumb on one hand while holding glasses in his other hand.", is the statement "Man in a pink shirt is running down the road holding is pipe." is true?
- Yes
- No
- I don't know
|
A red and blue boat with yellow oars carrying a group of girls is the same as a group of girls in a blue and red boat with yellow oars.
|
Yes
|
esnli
|
Consider the statement "a group of girls in a small blue and red boat with yellow oars". Based on this "A red and blue boat with yellow oars sailed by carrying a group of girls down the river." a true statement? Yes, no, or I don't know?
|
The kid cannot simultaneously be little and big at the same time, as these are opposite descriptions.
|
Yes
|
esnli
|
Context: A little kid holding a yellow and red soccer toy.
Hypothesis: A big kid holding a yellow and red soccer toy.
Is the hypothesis incorrect? (Yes, no, or unknown)?
|
The man cannot be standing with people nearby when he is the only person within miles of the building.
|
Yes
|
esnli
|
Given the statement "A man stands by a building while others are nearby.", is the statement "the man is the only person within miles of the building" wrong?
- Yes
- No
- Unknown
|
You can't physically be in a wall to sing.
|
1
|
senmaking
|
Of the below sentences, which one does *not* make sense?
1. "he sings in the wall."
2. "he sings in the shower."
|
Pilot getting off his plane with engineer looking at the steps simply means pilot leaves the plane to check the steps with an engineer
|
True
|
esnli
|
Context: "Pilot getting off his plane with and an engineer looking at the steps." Claim: "A pilot leaves the plane to check the steps with an engineer"
Considering the context, is the claim true, false, or unknown?
|
The fact that two kids with bicycles are at a BMX park does not necessarily imply that they are performing the act of bicycling.
|
Unknown
|
esnli
|
Consider the statement "Two kids with bicycles are at a bmx park getting rained on.". Is the statement "Some children are bicycling in the rain." false? Yes/no/unknown
|
已知一条毛毛虫由幼虫长成成虫,每天长大一倍,$$30$$天能长到$$20$$厘米,可根据最后结果出发,逐步向前一步一步推理; 按从后往前推理可知最后一天长的是前一天的$$2$$倍,最后一天是$$20$$厘米,长到$$10$$厘米的时候是$$30$$天$$-1$$天; 根据以上分析可得$$29$$天时是$$10$$厘米,由此可推出长到$$5$$厘米时是几天,进而得出答案. $$30-1-1=28$$(天), 答:长到$$5$$厘米时要用$$28$$天.
|
A
|
TAL-SCQ5K
|
一条毛毛虫由幼虫长成成虫,每天长大一倍,$$30$$天能长到$$20$$厘米.问长到$$5$$厘米时要用天.
Options:
A) $$28$$
B) $$27$$
C) $$26$$
|
The sport soccer can be played using the football but not with baseball, or volley ball.
|
No
|
feasibilityQA
|
Ryan visited a store to buy a ball to play soccer.
Question: Is the following statement plausible?
The ball could have been a baseball.
|
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 ?
- $$2$$
- $$3$$
- $$4$$
- $$5$$
|
Feet make for better drummers, they aren't the most vocal.
|
A
|
senmaking
|
Which of the following two sentences does not make sense?
A: "the singer sings with his feet."
B: "the singer sings in his voice."
|
The man is brushing the base of a statue of Jesus Christ where he cannot tear down a house simultaneously.
|
No
|
esnli
|
Given the statement "A young man wearing a baseball cap brushes at the base of a statue of Jesus Christ, during the day.", is the statement "A person is tearing down a house." is true?
- Yes
- No
- I don't know
|
We can assume that a "man in a business suit" is going to do business, so he is a businessman. There is no other way to pull luggage, except behind him.
|
Yes
|
esnli
|
Context: A man in a business suit is walking down the street, pulling luggage.
Hypothesis: A businessman is walking while trying to pull his luggage behind him
Given this context, is the hypothesis true (Yes/No/I don't know)?
|
The dog is in the foreground with three people in the background but he is not necessarily proud of his purchase made for the three humans.
|
Unknown
|
esnli
|
Consider the statement "Dog in foreground with three people in background.". Is the statement "The dog is proud of his purchase made for the three humans." false? Yes/no/unknown
|
Thicker resistors offer less resistance than thinner resistors.
|
1
|
quartz
|
When Dan got a thin resistor, he knew that its resistance would be
1. more
2. less
|
The man may not necessarily be making a repair to the window and it may or may not have been broken by a baseball.
|
Unknown
|
esnli
|
Context: A man in a helmet is working on a building's window.
Hypothesis: A man repairing a window broken by a baseball.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
|
Two men working on their kid's bikes doesn't necessarily mean one is wearing a blue shirt and the other one; a white shirt.
|
Unknown
|
esnli
|
Context: Two men are working on a bike, one is in a blue shirt, the other in a white shirt.
Hypothesis: Two men work on their kid's bikes.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
|
one sentence says the leaders have to deal with the resentment of the people whereas the second states that the leaders have to deal with the calmness of the ocean.
|
Yes
|
FLUTE
|
Consider the statement "He said the leaders will have to deal with abundance serenity.". Is the statement "He said the leaders will have to deal with an ocean of resentment." false? Yes/no/unknown
|
If the man is shooting basketball next to a toddler, then they are in a basketball court and not a tennis court.
|
No
|
esnli
|
Given the statement "There is a man shooting basketballs next to a toddler.", is the statement "A man and his toddler are on the tennis court." is true?
- Yes
- No
- I don't know
|
The family found a spot in the shade so they could relax and relaxing allowed them to enjoy the afternoon in the park.
|
No
|
esnli
|
Context: The family enjoys an afternoon at the park in the shade.
Hypothesis: The family found a shady spot in the park to relax.
Is the hypothesis incorrect? (Yes, no, or unknown)?
|
Since $133 is equal to 7% of her earnings, then 1% is equal to $133/7 = $19.
The total monthly earning of Zilla is represented by 100%, so $19 x 100 = $1900 is her monthly earnings.
So, $1900/2 = $950 is spent on her other monthly expenses.
The total amount spent on the rent and other monthly expenses is $133 + $950 = $1083.
Hence, she saves $1900 - $1083 = $817 per month.
|
817
|
gsm8k
|
Zilla spent 7% of her monthly earnings on rent, half of it on her other monthly expenses, and put the rest in her savings. If she spent $133 on her rent, how much does she deposit into her savings account in a month?
|
Two little kids are on a production set with seven adults and the two little kids are sitting. The sun is setting is not a production set..
|
No
|
esnli
|
Consider the statement "Two little kids are on a production set with seven adults.". Based on this "The sun is setting." a true statement? Yes, no, or I don't know?
|
Just because they are looking at a female mannequin does not mean it reminds them of a girl they know.
|
Unknown
|
esnli
|
Given the statement "Two guys are looking at female manikins outside the window of a store.", what is the statement "The guys think the mannequin reminds them of a girl they know." true?
- Yes
- No
- Unknown
|
Gold is very soft, while diamonds are the hardest substance known.
|
1
|
senmaking
|
Pick which sentence is not logical.
Options:
1. "gold is harder than diamonds"
2. "diamonds are harder than gold"
|
The kid may or may not have bet he could climb. the tree may or may not be the tallest tree. it may or may not be a park. it could be any tree.
|
I don't know
|
esnli
|
Consider the statement "One small child is climbing a tree near a body of water while another child walks away.". Based on this "A kid bet his friend that he could climb to the top of the tallest tree in the park" a true statement? Yes, no, or I don't know?
|
The fact that a man is playing his guitar doesn't imply that he is playing for an audience of rich spectators.
|
Unknown
|
esnli
|
Context: The man with the tie is playing his guitar.
Hypothesis: The man is playing the guitar for an audience of rich spectators.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
|
Mr Cruz's total weight gain in the two months is 20 + 30 = 50 pounds.
If he initially weighed 70 pounds, his total weight after the two months is 70 + 50 = 120 pounds
|
120
|
gsm8k
|
Mr Cruz went to his doctor to seek advice on the best way to gain weight. His doctor told him to include more proteins in his meals and live a generally healthy lifestyle. After a month of following his doctor's advice, Mr Cruz had a weight gain of 20 pounds. He gained 30 more pounds in the second month after more healthy eating habits. If he originally weighed 70 pounds, what's his weight after the two months?
|
If there were 500 visitors, and 40% of them fell ill, the number of visitors who fell ill is 40/100*500 = 200 people
The number of visitors who did not get ill is 500-200 = 300
|
300
|
gsm8k
|
After a visit to the newly opened aquarium, 40 percent of the aquarium visitors fell ill from a mysterious disease. If there were 500 visitors, how many of them did not fall ill?
|
Santino has 2 * 10 = 20 papaya fruits
Santino has 3 * 20 = 60 mango fruits
In total, Santino has 20 + 60 = 80 fruits
|
80
|
gsm8k
|
Santino has 2 papaya trees and 3 mango trees. If each papaya tree produces 10 papayas and each mango tree produces 20 mangos, how many fruits does Santino have in total?
|
"Young people " is a rephrasing of "Two people " and they are walking on the street in the evening.
|
True
|
esnli
|
Context: "Young people are walking on the street in the evening." Claim: "Two people are walking"
Considering the context, is the claim true, false, or unknown?
|
People talking in front of a tower could be talking about something other than passage inside. They could be talking about a person inside, discussing an event that took place, or even exchanging local gossip.
|
Unknown
|
esnli
|
Context: "One man in red robes and a kilt stands next to another man in green robes who is standing in front of a large tower structure." Claim: "a man in a kilt barters with a man in a robe for passage into a tower"
Considering the context, is the claim true, false, or unknown?
|
A battery converts chemical energy into electrical energy.
Electricity is a powerful energy source.
A battery converts chemical energy into a powerful energy source.
|
D
|
qasc
|
What converts chemical energy into a powerful energy source?
Options:
A: animals
B: Green beans
C: an amplifier
D: a battery
E: Light
F: a radio
G: engines
H: a rod
|
Dehydrating food is used for preserving food.
Food is then dehydrated in slow oven or dehydrator.
Food is preserved in a slow oven.
|
oven
|
qasc
|
What is used to preserve food?
* salt
* Energy
* oven
* fats
* sugar
* sodium
* marine
* bamboo
|
Grayson first travels 1 * 25 = 25 miles
Then Grayson travels 0.5 * 20 = 10 miles
Grayson travels a total of 25 + 10 = 35 miles
Rudy travels 3 * 10 = 30 miles
Grayson travels 35 - 30 = 5 miles more than Rudy
|
5
|
gsm8k
|
Grayson drives a motorboat for 1 hour at 25 mph and then 0.5 hours for 20 mph. Rudy rows in his rowboat for 3 hours at 10 mph. How much farther, in miles, does Grayson go in his motorboat compared to Rudy?
|
Just because a man and a woman are holding string instruments does not indicate that they are in the string quartet.
|
Unknown
|
esnli
|
Context: "A man and a woman are holding string instruments."
Hypothesis: A man and woman are in the string quartet.
Based on the context, is the hypothesis true, false, or unknown?
|
The people are listening and watching a man playing a guitar and another dancing, not driving and listening to the radio.
|
No
|
esnli
|
Given the statement "A man playing a guitar while a couple is listening and watching another man dancing to the music.", is the statement "The people are driving a car while listening to the radio" is true?
- Yes
- No
- I don't know
|
You don't need a physical voice to write a story.
|
2
|
senmaking
|
Which of the following sentences is nonsensical?
1) "writing a story requires creativity"
2) "writing a story requires a beautiful voice"
|
Clouds are formed by water vapor rising into colder regions of the atmosphere and condensing.
Steam is water vapor produced by evaporation.
Clouds are formed by something evaporating into colder regions of the atmosphere and condensing.
|
B
|
qasc
|
Clouds are formed by what going to colder regions?
Options:
A) Movement of an air mass
B) Something that evaporated
C) Something that melted
D) cloudy and rainy weather
E) Something that stayed the same
F) Something that froze
G) precipitation
H) air mass over Earth's surface
|
Just because there is a Chinese Dragon at a parade, does not imply that there is a Chinese New Year celebration.
|
Unknown
|
esnli
|
Context: "A Chinese Dragon at a parade."
Hypothesis: It's a Chinese New Year celebration.
Based on the context, is the hypothesis true, false, or unknown?
|
先求公差:$$(32-5)\div (10-1)=3$$,于是第$$20$$项是$$3\times (20-1)+5=62$$.
|
C
|
TAL-SCQ5K
|
一个等差数列,首项是$$5$$,第$$10$$项为$$32$$,则第$$20$$项为~\uline{~~~~~~~~~~}~.
A) $$60$$
B) $$61$$
C) $$62$$
D) $$63$$
|
Look at the police car in Figure below . The sound waves from its siren travel outward in all directions. Because the car is racing forward (toward the right), the sound waves get bunched up in front of the car and spread out behind it. As the car approaches the person on the right (position B), the sound waves get closer and closer together. In other words, they have a higher frequency. This makes the siren sound higher in pitch. After the car speeds by the person on the left (position A), the sound waves get more and more spread out, so they have a lower frequency. This makes the siren sound lower in pitch. A change in the frequency of sound waves, relative to a stationary listener, when the source of the sound waves is moving is called the Doppler effect . You’ve probably experienced the Doppler effect yourself. The next time a vehicle with a siren races by, listen for the change in pitch. For an online animation of the Doppler effect, go to the URL below.
|
Point b
|
ropes
|
Context:
John was sitting at point C near a railway track. Suddenly, he heard a train coming towards him from point A with constant sound of its horn. Eventually, it reached very close to him at point B. Then the train sped by him at point C where he was sitting, reaching point D after some time. Finally, it reached even farther from him at point E.
Q: At which point the horn would sound higher in pitch, point A or point B?
|
A guy and a girl make up two people. Posing for the camera is another way of saying posing for a picture.
|
True
|
esnli
|
Context: "A guy with a toboggan and a girl pose for the camera." Claim: "Two people pose for a picture."
Considering the context, is the claim true, false, or unknown?
|
The only reason the man holds a microphone in front of another man would be because he is asking that person to say something.
|
True
|
esnli
|
Context: "A man holds a microphone in front of another man who is wearing a blue hat." Claim: "A person is asking another person to say something"
Considering the context, is the claim true, false, or unknown?
|
There is no evidence the man is wearing safety equipment such as a harness when climbing the cliff.
|
Unknown
|
esnli
|
Context: A man is climbing a cliff high in the air.
Hypothesis: The man is climbing the cliff in a harness high up in the air
Is the hypothesis incorrect? (Yes, no, or unknown)?
|
Giving a haircut to someone else is not the same as looking in the mirror while giving oneself a haircut.
|
No
|
esnli
|
Given the statement "An older bald guy giving a haircut to a younger guy.", what is the statement "A man is looking the mirror with a pair of electric clippers in his hand." true?
- Yes
- No
- Unknown
|
The man can't be blue and yellow at the same time, and he can't have fallen off the ladder and stand on the ladder at the same time. Also, if the man fell off the ladder, he wouldn't be hanging but would have hit the floor or ground.
|
No
|
esnli
|
Given the statement "The man in yellow fell off the ladder and is hanging onto the attic lip.", what is the statement "A man in blue is on a ladder." true?
- Yes
- No
- Unknown
|
Arbuscular mycorrhizal fungi vary across many environmental gradients. Their tolerance to freezing and drying is known to shift between AM fungal taxa. AM fungi become less prevalent and diverse at higher soil nutrient and moisture concentrations, presumably because both plants allocate less carbon to AM fungi and AM fungi reallocate their resources to intraradical hyphae in these environmental conditions. Over the long term, these environmental conditions can even create local adaptation between plant hosts, AM fungi and the local soil nutrient concentrations.
|
Southern
|
ropes
|
Context:
Carrie bought two parcels of farmland. The Northern one had soil with lots of arbuscular mycorrhizal fungi, while the Southern parcel had almost no traces of AM fungi.
Q: Which parcel had a higher soil moisture content?
|
Clouds on Earth are made of water vapor. Venus's clouds are a lot less pleasant. They are made of carbon dioxide, sulfur dioxide and large amounts of corrosive sulfuric acid! The atmosphere of Venus is so thick that the pressure on the surface of Venus is very high. In fact, it is 90 times greater than the pressure at Earth’s surface! The thick atmosphere causes a strong greenhouse effect. As a result, Venus is the hottest planet. Even though it is farther from the Sun, Venus is much hotter even than Mercury. Temperatures at the surface reach 465°C (860°F). That’s hot enough to melt lead!
|
Group e
|
ropes
|
Context: Two groups of children studied about some of the planets from our Solar system and their atmospheres. Group E studied about Earth, while group V studied about the planet Venus.
Question: Which group studied less about temperatures at the surface of Venus?
|
"Lady" and "kid" are synonyms of "woman" and "child," and heading towards two people riding horses entails walking towards horses.
|
True
|
esnli
|
Context: "A woman and a child are walking on a leaf-lined sidewalk, heading towards two people riding horses." Claim: "A lady and a kid are walking on the sidewalk towards horses."
Considering the context, is the claim true, false, or unknown?
|
The size of the woman's glasses is not established to be large, nor is the current status of the sun mentioned.
|
Unknown
|
esnli
|
Given the statement "A lady wearing glasses sitting on a cement bench.", what is the statement "A lady in large glasses sits in the sun." true?
- Yes
- No
- Unknown
|
2010是数列$${{a}_{n}}=2n$$的第$$1005$$项, 设$$2010$$位于第$$n$$组, 则$$\begin{cases}1+3+5+\cdots +(2n-1)\geqslant 1005 1+3+5+\cdots +(2n-3)\textless{}1005 \end{cases}$$, 即$$\begin{cases}{{n}^{2}}\geqslant 1005 {{(n-1)}^{2}}\textless{}1005 \end{cases}$$, 所以$$n=32$$,故$$2010$$位于第$$32$$组.
|
$$32$$
|
TAL-SCQ5K
|
将正偶数集合$$ {2,4,6,8,\cdots }$$从小到大按第$$n$$组有$$2n-1$$个数进行分组:$$ {2 }$$,$$ {4,6,8 }$$, $$ {10,12,14,16,18 }$$,\ldots,问$$2010$$位于第组中.
* $$30$$
* $$31$$
* $$32$$
* $$33$$
|
She uses 7 x 2 = 14 gallons of water to clean the two cars.
She uses 14 - 11 = 3 gallons of water to water the plants.
The total gallons of water that she uses to clean the cars and to water the plants is 14 + 3 = 17.
Jan has 65 - 17 = 48 gallons of water remaining after cleaning the cars and watering the plants.
Jan uses 48 / 2 = 24 gallons of water to wash her plates and clothes.
|
24
|
gsm8k
|
The rainy season is here, Jan collected 65 gallons of water in a barrel outside her home. She uses 7 gallons of water each to clean the two cars and uses 11 fewer gallons than the two cars to water the plants. Then, she uses half of the remaining gallons of water to wash the plates and clothes. How many gallons of water does Jan use to wash her plates and clothes?
|
Girls running down a road could be on a country road, there could be two of them, and they can be running towards blue sky.
|
True
|
esnli
|
Context: "Two girls are running down a country road toward a blue sky." Claim: "Girls running down a road."
Considering the context, is the claim true, false, or unknown?
|
The ownership of the dog is unknown, and the stick may not be a baton. They may simply be playing and not trying to train the dog.
|
Unknown
|
esnli
|
Context: "A woman is holding a stick in the air, while a dog jumps up." Claim: "A woman training her dog to jump with a baton."
Considering the context, is the claim true, false, or unknown?
|
Just because the children are playing on a hill of sand doesn't mean they are building sand castles at the beach.
|
Unknown
|
esnli
|
Consider the staetement "Four children are playing on a hill of sand.". Based on this statement, is "Four siblings are building sand castles at the beach." a true statement? Yes/no/unknown
|
Sentence 1: A person with a blue suit and a red wig sitting next to a wall, where the window has green blinds. Sentence 2: The person is sitting because he is tired.
|
I don't know
|
esnli
|
Consider the statement "A person with a blue suit and a red wig sitting next to a wall, where the window has green blinds.". Based on this "The person is sitting because he is tired." a true statement? Yes, no, or I don't know?
|
Wendi doubled her number of chickens from 4 to 4*2=8 chickens.
After a dog ate one of the chickens, 8-1=7 chickens remained.
4 less than 10 is 10-4=6.
Therefore, Wendi added another 4 less than ten chickens for a total of 7+6=13 chickens.
|
13
|
gsm8k
|
Wendi brought home 4 chickens. After a few days, she brought home enough additional chickens to double the number of chickens she owned. Then, a neighbor's dog ate one of her chickens. Finally, Wendi found an additional 4 less than ten chickens and brought them home too. After this, how many chickens does Wendi have?
|
Three people playing different instruments is not a bizarre thing, as friends play all sorts of instruments together.
|
No
|
esnli
|
Context: Three people are playing different instruments.
Hypothesis: Friends play all sorts of instruments together.
Is the hypothesis incorrect? (Yes, no, or unknown)?
|
If the sum doubles (x2) in 15 years, then it to become 2*2*2 = 8 times as large it should double three times, so three 15 years time period are needed, which is 3*15 = 45 years.
|
45 years
|
aqua
|
A sum of money doubles itself at a compound interest in 15 years . In how may years it will become 8 times ??
Options:
* 30 years
* 40 years
* 45 years
* 50 years
* 60 years
|
In the U.S., the majority of electricity is produced by burning coal or other fossil fuels. This causes air pollution that harms the health of living things. The air pollution also causes acid rain and contributes to global warming. In addition, fossil fuels are nonrenewable resources, so if we keep using them, they will eventually run out. The main advantage of nuclear energy is that it doesn’t release air pollution or cause the other environmental problems associated with the burning of fossil fuels. On the other other hand, radioactive elements are nonrenewable like fossil fuels and could eventually be used up.
|
New zealand
|
ropes
|
Consider the following text:
Canada produced its electricity by using fossil fuels and nuclear fission. New Zealand used only alternative, renewable sources to produce their electricity.
Which country used fewer non-renewable resources?
|
Picking up used chewing gum is really unhygienic and gross and so it cannot be considered a pleasant sight.
|
False
|
FLUTE
|
Context: "I just caught a guy picking up used chewing gum and he put it in his mouth."
Hypothesis: it was such a pleasant sight to see a guy picking up used chewing gum; and he put it in his mouth
Based on the context, is the hypothesis true, false, or unknown?
|
The zookeepers do not necessarily have a show, they could be giving the animal some exercise or physical therapy.
|
Unknown
|
esnli
|
Context: A zookeeper holding a rope while a white tiger is trying to climb a wooden pole.
Hypothesis: There is a show performed by the zookepers.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
|
English alphabet has 26 letters
|
No
|
feasibilityQA
|
Context: A school has a section corresponding to each letter of the english alphabet. Each section has 12 students. At least one student will join each group tomorrow
Question: "The strength of the school tomorrow could be 286 students." -- Is this statement true?
|
The cost of a regularly-priced uniform is $7.50 for the shirt + $15 for pants + $4.50 for socks = $27.
The cost of a discounted uniform is $6.75 for the shirt + $13.50 for pants + $3.75 for socks = $24.
By purchasing the discounted uniform, each team member would save $27 for full price - $24 for discounted= $3.
So, for the team of 12, they would save $3 * 12 = $36
|
36
|
gsm8k
|
Each member of Greg’s softball team needs to buy one uniform made up of a shirt, a pair of pants, and socks. A shirt costs $7.50, a pair of pants cost $15, and socks cost $4.50 each if each team member buys the uniform items on their own. If they buy the items as a group, they are given a discount. A discounted shirt cost $6.75, a discounted pair of pants cost $13.50, and discounted socks cost $3.75. How much would their team of 12 save with the group discount?
|
An artist is painting a mural outside on a big corrugated metal wall does not indicate that he is painting outside
|
Unknown
|
esnli
|
Given the statement "An artist is painting a mural outside on a big corrugated metal wall.", is the statement "An artist is painting outside" wrong?
- Yes
- No
- Unknown
|
The critics gave the broadway production very high praise.
|
True
|
FLUTE
|
Context: "The critics praised the broadway production." Claim: "The critics paid tribute to this broadway production."
Considering the context, is the claim true, false, or unknown?
|
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