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The man riding the horse is not necessarily on a farm nor is he teaching a group how to ride a horse.
| Unknown | esnli | Consider the statement "A man, wearing cowboy attire, is riding a horse in a rodeo, while a crowd behind a barricaded fence surrounds him.". Is the statement "Man on a farm teaching a group how to ride a horse" false? Yes/no/unknown |
A horse is an animal. For it to be running in a fenced area, it's necessary that it be running in the ground. Fenced areas fence the ground.
| No | esnli | Consider the statement "A beautiful horse is running in a fenced in area.". Is the statement "animal running in the ground." false? Yes/no/unknown |
Among all the parts of brain, cerebrum is the largest part of the brain | No | feasibilityQA | Jason is in a medical school and studies different parts of brain, he learns about that part which takes the major volume of the brain.
Question: Is the following statement plausible?
The part could be cerebellum. |
可根据题意算出买进和卖出鱼所花钱的总数，买进一共花了$$(3a+2b)$$元，一共卖了$$\frac{a+b}{2}$$$$\times5$$元，前者大于后者，即可推导出$$a\textgreater b$$． | a | TAL-SCQ5K | 甲从一个鱼摊上买了三条鱼，平均每条$$a$$元，又从另一个鱼摊上买了两条鱼，平均每条$$b$$元，后来他又以每条$$\frac{a+b}{2}$$元的价格把鱼全部卖给了乙，结果发现赔了钱，原因是（~ ~ ~ ~）．
a. $$a\textgreater b$$
b. $$a\textless{b}$$
c. $$a=b$$
d. 与$$a$$和$$b$$的大小无关 |
In mid-June, the river is 45/3=15 feet deep.
In mid-May, the river was 15-10=5 feet deep. | 5 | gsm8k | In mid-May, the depth of a river in Moreland is measured. By mid-June, the river is 10 feet deeper than mid-May. By mid-July, the river is three times deeper than mid-June. If the river is 45 feet deep in mid-July, how many feet deep was the river in mid-May? |
The probability of selecting girl is: 30/100 = 3/10
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 40/100 = 2/5
Three are independent;probability of rich and fair complexioned girl is:
(3/10) ×(1/5) × (2/5) = 3/125 | A | aqua | A class consists of 100 students, 30 of them are girls and 70 boys; 20 of them are rich and remaining poor; 40 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
A. 3/125
B. 1/59
C. 1/56
D. 1/54
E. 1/53 |
Sentence 1: A man sits on the base of a statue. Sentence 2: A man sits on the base of a statue after running out of breath.
| I don't know | esnli | Consider the statement "A man sits on the base of a statue.". Based on this "A man sits on the base of a statue after running out of breath." a true statement? Yes, no, or I don't know? |
Just because a bull charges at a man does not mean he is a matador or that he swings his red cape or that it is a bull fight. Onlookers are not necessarily an audience and they may not be holding their breaths.
| I don't know | esnli | Consider the statement "A bull charges at a man within a stadium while an audience watches.". Based on this "The matador swings his red cape at a bull fight, with onlookers holding their breaths." a true statement? Yes, no, or I don't know? |
Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 140 = 500 m
Required time = 500 * 2/25 = 40 sec | a | aqua | A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
a: 40
b: 37
c: 32
d: 39
e: 28 |
An adult couple smiling while talking to a younger does not necessarily imply they are telling jokes.
| Unknown | esnli | Given the statement "An adult couple is talking with a younger girl, and they are all smiling.", what is the statement "they are telling jokes" true?
- Yes
- No
- Unknown |
Chilies is a thing which cannot be feed to the babies. | 2 | senmaking | Which of the following two sentences does not make sense?
1: "people feed the baby milk powder."
2: "people feed the baby chilies." |
Just because two men talk in a restaurant kitchen, one can not necessarily conclude they are waiters.
| Unknown | esnli | Consider the staetement "Two men talk in a restaurant kitchen.". Based on this statement, is "The men are waiters." a true statement? Yes/no/unknown |
A woman in a white robe sits on a bathroom counter in front of a mirror, applying eye makeup does not indicate that she is getting ready for a party.
| Unknown | esnli | Context: "A woman in a white robe sits on a bathroom counter in front of a mirror, applying eye makeup."
Hypothesis: The woman is getting ready for a party.
Based on the context, is the hypothesis true, false, or unknown? |
One has to be holding a guitar to play it, so saying someone has or is with an instrument can mean they are playing the guitar.
| No | esnli | Consider the statement "A girl playing her guitar in her bedroom.". Is the statement "A girl with an instrument." false? Yes/no/unknown |
Foot length increases with time | Yes | feasibilityQA | Context: Jonah's feet length is 26 cm today.
Question: "Jonah could have 19 cm foot length last year." -- Is this statement true? |
Icing is not used in the basketball to bounce. | "a basketball could not bounce because it was full of icing." | senmaking | One of the following sentences is nonsensical. Which one is it?
* "a basketball could not bounce because it was full of icing."
* "a basketball will bounce if it is full of air." |
Fish mortality is a parameter used in fisheries population dynamics to account for the loss of fish in a fish stock through death. The mortality can be divided into two types:
Natural mortality: the removal of fish from the stock due to causes not associated with fishing. Such causes can include disease, competition, cannibalism, old age, predation, pollution or any other natural factor that causes the death of fish. In fisheries models natural mortality is denoted by (M).[1]
Fishing mortality: the removal of fish from the stock due to fishing activities using any fishing gear.[1] It is denoted by (F) in fisheries models. | Silver lake | ropes | Context: The fisherman had 2 choices: he could go to Silver Lake situated at a higher altitude and fish there; or he could go to Red lake, a few miles further down the road. Both lakes were natural, but Red Lake had a few pollution problems last year, and the oxygen levels in the water decreased, leading to many fish dying. Silver lake was still pristine, untouched by human activities such as pollution.
Question: Which lake is situated at a higher altitude? |
If $r$ is the radius of the circle, we know that $x = \pi r^2$ and $y = 2\pi r$. Thus, we have \begin{align*}
x + y &= 80\pi\\
\pi r^2 + 2\pi r &= 80\pi\\
r(r + 2) &= 80.
\end{align*}
We want to find two integers whose product is 80, such that one integer is two more than the other. We note that 80 can be factored as $8\cdot 10$. Therefore, $r = 8$. | $8$ | competition-math | A certain circle's area is $x$ square units, and its circumference is $y$ units. The value of $x + y$ is $80\pi$. What is the radius of the circle, in units? |
Each load takes 60 + 45 = 105 minutes
There are 8 loads that take 8*105=840 minutes
It takes 840/60=14 hours | 14 | gsm8k | There are 8 loads of laundry that need to be washed. Each load of laundry takes around 45 minutes to complete in the wash cycle and 1 hour in the dry cycle. How long, in hours, will it take to complete the entire set of laundry? |
A man in blue wades as known as shorts sees green mountains in the background, which is also known as a beautiful mountain scene.
| Yes | esnli | Given the statement "With a beautiful blue sky and green mountains in the background, a man in blue shorts and a blue shirt wades through the shallow, clear waters carry something white.", is the statement "Man in blue wades through water in front of a beautiful mountain scene." is true?
- Yes
- No
- I don't know |
It is often accidental when a flower bed gets mowed over but it is still seen as destruction because it kills all the flowers that were in the bed | Yes | FLUTE | Consider the staetement "A neighbor mowed over my flower bed and now of my flowers were destroyed.". Based on this statement, is "A neighbor destroyed my flower bed and killed all my flowers when they were mowing their lawn" a true statement? Yes/no/unknown |
Long distance running consumes human energy and makes people tired. | [b] | senmaking | Which of the following two sentences does not make sense?
[a] "running for too long will make you tired"
[b] "running for too long won't make you tired" |
A woman cannot be both sitting on a wooden step while reading and simultaneously kissing a man on a hill.
| No | esnli | Given the statement "A woman scantily dressed in handsome homemade-looking clothing sits on a wooden step and reads Brazilian author Coelho.", what is the statement "A women is kissing a man on a hill." true?
- Yes
- No
- Unknown |
Given two waves with same velocity, the wave with higher frequency will have lower wavelength. | Yes | feasibilityQA | There are two waves moving with same velocities and Atlas is assigned to find out the relationship between their frequency and wavelength. Frequency of the wave with lower wavelength is 74517 units.
Q: Is it true that "Frequency of the wave with higher wavelength could be 73000 units." |
Humans have collected and grown mushrooms for food for thousands of years.
Rozites caperata is the edible mushroom.
Humans have collected and grown rozites caperata for food for thousands of years. | (8) | qasc | what have humans collected and grown for food for thousands of years?
Options:
(1) Most plants
(2) honeybees
(3) h2o
(4) peachleaf willow
(5) density
(6) clouds
(7) Organic compounds
(8) rozites caperata |
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. | Beta | ropes | Context: Bill studied two herds of deer for a year. He was in love with nature. He observed the large herd named Alpha inhabited an area with fewer resources. Herd Beta was a smaller one, and they grazed on an abundance of plants.
Question: Which herd had an increasing population? |
Two women embracing means they are showing affection and hugging as part of the total description of them looking at the camera.
| True | esnli | Context: "A person's head is in the foreground while two women embrace in the background and look at the camera."
Hypothesis: Two women hug.
Based on the context, is the hypothesis true, false, or unknown? |
The restaurant could be considered a fast food restaurant since there are many people waiting in line.
| No | esnli | Context: Many people waiting in lone to order in a fast food restaurant.
Hypothesis: Many people waiting at a restaurant
Is the hypothesis incorrect? (Yes, no, or unknown)? |
A head is not large enough to hold a shed. | (A) | senmaking | One of the following sentences is nonsensical. Which one is it?
(A) "you can build a new shed on your head."
(B) "you can build a new shed in your yard." |
Staying up late will cause dark circles or blood streak in the white of the eye. | 1 | senmaking | One of the following sentences is nonsensical. Which one is it?
1. "staying up late is helpful for our health."
2. "staying up late is harmful to our health." |
A library typically doesn't have the necessary equipment to prepare and eat food. | [1] | senmaking | Which of the following two sentences does not make sense?
Options:
[1] "food is often prepared and eaten in the library."
[2] "food is often prepared and eaten in the kitchen." |
The only difference between "Religious men in burgundy clothing walk down the street" and "Men walking down the street" is the information about the apparel and religiosity of the men.
| Yes | esnli | Consider the staetement "Religious men in burgundy clothing walk down the street.". Based on this statement, is "Men walking down the street." a true statement? Yes/no/unknown |
Just because five people are looking across a lake at buildings does not mean they are caseing a bank
| I don't know | esnli | Consider the statement "Five people are looking across a lake at buildings.". Based on this "A group of people caseing a bank" a true statement? Yes, no, or I don't know? |
There is either young minds that are always willing to learn, or the moon in which no longer exists.
| Yes | esnli | Context: Young minds are always willing to learn.
Hypothesis: The moon no longer exists
Is the hypothesis incorrect? (Yes, no, or unknown)? |
A man and a woman with a red book, both dressed in black. which at the same time wont be a young boy runs
| Yes | esnli | Given the statement "A man and a woman with a red book, both dressed in black.", is the statement "a young boy runs" is true?
- Yes
- No
- I don't know |
If $2$ $\text{cm}$ represents $6000\text{km}$, $1\text{cm}$ represents $3000\text{km}$, and $0.1\text{cm}$ represents $300\text{km}$. | $$0.1$$ | TAL-SCQ5K | On a map of the Andes, if $2$ $\text{cm}$ represents $6000$ $\text{km}$, then ~represents $300$ $\text{km}$ .
$$0.1$$
$$0.5$$
$$10$$
$$20$$ |
Wearing a sweatshirt is the same as in a sweatshirt and others watching is the same as people look on.
| Yes | esnli | Context: A man wearing a blue sweatshirt and dark baseball cap is sweeping the floor with others watching.
Hypothesis: A man in a sweatshirt sweeps the floor as people look on.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
In the first week, Jed has 20 + 6 = 26 cards.
In the second week, he has 26 + 6 = 32 cards.
But he is left with 32 - 2 = 30 cards on the 2nd week after giving 2 cards to his friend.
Then Jed has 30 + 6 = 36 cards on the 3rd week.
He has 36 + 6 = 42 cards on the 4th week.
After giving his friend 2 cards, he is then left with 42 - 2 = 40 cards on the 4th week.
Hence, Jed will have a total of 40 cards in 4 weeks. | 4 | gsm8k | Jed collects stamp cards. Every week, he gets 6 cards. But every two weeks, he gives 2 cards to his friends. If Jed started with 20 cards, after how many weeks will he have a total of 40 cards? |
A toaster converts electrical energy into heat energy for toasting.
Electric generators convert mechanical energy into electric energy.
Electric generators can create energy for toasters. | [G] | qasc | Toasters can get energy from what?
[A] heating liquids
[B] Protons
[C] chemical messengers
[D] enormous damage to homes
[E] Combustion
[F] transportation technology
[G] Electric generators
[H] Food |
A man could be using his zoom lenses to take a picture of anything at all at a distance, nothing is stated that implies the object or location.
| Unknown | esnli | Given the statement "A man taking pictures using his zoom lenses.", what is the statement "A man is taking pictures of birds at a beach." true?
- Yes
- No
- Unknown |
Fireman fighting a building fire in a city rephrases and gives more information to Fireman are fighting a fire.
| Yes | esnli | Given the statement "Firemen fighting a building fire in a city.", is the statement "Firemen are fighting a fire." is true?
- Yes
- No
- I don't know |
If someone is playing accordion, it doesn't necessarily mean that they are playing polka-based music.
| Unknown | esnli | Context: An older man is playing the accordion and asking for money.
Hypothesis: The man is playing some polka-based music.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Three women outside all dress the same and talking to one another.while at the same instant this wouldnt be Some women are making noise and have similar clothes.
| Yes | esnli | Consider the statement "Three women outside all dress the same and talking to one another.". Based on this "Some women are making noise and have similar clothes." a true statement? Yes, no, or I don't know? |
A man waits to cross the road and a male on a bicycle looks at traffic does not always result in getting to cross the road.
| I don't know | esnli | Given the statement "A man with a rucksack, wearing shorts and sunglasses, waits to cross the road, while a young male with a bicycle looks at oncoming traffic.", is the statement "The people were getting to cross the road" is true?
- Yes
- No
- I don't know |
Just because two girls are standing in a puddle does not mean they are sisters or playing in the puddle.
| I don't know | esnli | Given the statement "Two girls stand in a puddle on a sidewalk.", is the statement "Two sisters are playing in a puddle." is true?
- Yes
- No
- I don't know |
A group of people sit against a building and use electronics does not indicate that they are waiting for something
| I don't know | esnli | Consider the statement "A group of people sit against a building and use electronics.". Based on this "the people are waiting for something" a true statement? Yes, no, or I don't know? |
通分子$$\frac{5}{14}=\frac{60}{168}$$， $$\frac{10}{27}=\frac{60}{162}$$， $$\frac{12}{31}=\frac{60}{155}$$， $$\frac{20}{53}=\frac{60}{159}$$． | (B) | TAL-SCQ5K | 将四个分数按从小到大的顺序排列，正确的是．
(A) $$\frac{5}{14}\textless{}\frac{10}{27}\textless{}\frac{12}{31}\textless{}\frac{20}{53}$$
(B) $$\frac{5}{14}\textless{}\frac{10}{27}\textless{}\frac{20}{53}\textless{}\frac{12}{31}$$
(C) $$\frac{10}{27}\textless{}\frac{5}{14}\textless{}\frac{12}{31}\textless{}\frac{20}{53}$$
(D) $$\frac{10}{27}\textless{}\frac{5}{14}\textless{}\frac{20}{53}\textless{}\frac{12}{31}$$ |
A cloud is too high relative to the cat. | "the cat bites a cloud." | senmaking | Pick which sentence is not logical.
* "the cat bites a rubber ball."
* "the cat bites a cloud." |
Just because the woman is printing a pattern on a piece of fabric doesn't mean she is screen printing t-shirts.
| Unknown | esnli | Context: A woman with long black hair is printing a white pattern on a blue piece of fabric.
Hypothesis: A girl with black hair is screen printing t-shirts.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
When something is covered, it is usually hidden or obstructed from view. | True | FLUTE | Context: "Made everything on the earth silent." Claim: "Covered all the earth with silence ,"
Considering the context, is the claim true, false, or unknown? |
A black man in a gray sweatshirt and jeans is playing on a guitar can be said as a man playing guitar.
| Yes | esnli | Consider the staetement "A black man in a gray sweatshirt and jeans is playing on a guitar.". Based on this statement, is "a man playing guitar" a true statement? Yes/no/unknown |
Two men that are not wearing shirts look down from ledges on the side of a gray structure does not mean that they are getting a sun tan.
| Unknown | esnli | Context: "Two men that are not wearing shirts look down from ledges on the side of a gray structure."
Hypothesis: Two shirtless men are getting a sun tan.
Based on the context, is the hypothesis true, false, or unknown? |
Men and women are different genders. Children does not imply that they are infants. Shoulders and backs are not the same body part.
| False | esnli | Context: "Two men with children on their shoulders." Claim: "Women carrying infants on their backs"
Considering the context, is the claim true, false, or unknown? |
Just because the people are standing around a building does not mean it is the Empire State Building.
| Unknown | esnli | Consider the staetement "Many people, including a couple in a wedding dress and suit, are walking or standing around a building with lots of stairs.". Based on this statement, is "The wedding is at the Empire State Building." a true statement? Yes/no/unknown |
Just because a man is on a rowboat it does not mean he is relaxing. A row boat traveling down a river it does not mean it floats down the river.
| Unknown | esnli | Given the statement "A man in a small rowboat traveling down a river surrounded by reeds and grasslands on both sides while seagulls fly in the air nearby.", what is the statement "A man is relaxing as the row boat floats down the river." true?
- Yes
- No
- Unknown |
Increasing heat causes thermal expansion.
Thermal burns are caused by exposure to heat.
Thermal expansion can cause burns. | 7 | qasc | what can cause burns?
Options:
1: epidermis and dermis
2: Pesticides
3: Males and females
4: rays or beams
5: fossil fuels
6: Electrical energy
7: thermal expansion
8: harmful substances |
People don't usually hold cellphones and shopping bags while getting married. A courthouse wall is usually not covered in street art.
| No | esnli | Given the statement "A man holding a cellphone and a woman holding a shopping bag stand in front of a wall covered in street art.", what is the statement "A couple gets married at the courthouse." true?
- Yes
- No
- Unknown |
Nose is not something that you eat food with. | a | senmaking | Of the following two sentences, which one is against common sense?
a. "he eats food with his nose"
b. "he eats food with his mouth" |
The line may not be rope. It may not be on the side of the cliff. Nothing indicates the sun rises. He can be above water besides the ocean.
| I don't know | esnli | Consider the statement "A man is hanging by a line off a cliff above water.". Based on this "There is a man dangling from a rope on the side of a cliff as the sun rises in the background above the ocean." a true statement? Yes, no, or I don't know? |
If the men are outside the door then they would have to be outdoors. If it is a snowy night and the men are outdoors then they would have to be in the snow.
| No | esnli | Given the statement "Two men waiting outside the door on a snowy night.", is the statement "Some men are standing outside in the snow." wrong?
- Yes
- No
- Unknown |
A man is standing on a bus and wearing an inspector vest can be written as a man wearing an inspector vest standing on a bus.
| Yes | esnli | Consider the statement "A man wearing an inspector vest standing on a bus.". Based on this "A man is standing on a bus and wearing an inspector vest." a true statement? Yes, no, or I don't know? |
A boy can enjoy drinking water, bathing in water, or squirting water. He doesn't have to be swimming in a pool to enjoy cool water.
| Unknown | esnli | Context: A young boy enjoys the cool water.
Hypothesis: A boy is swimming in a pool.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Peter drew 5+3 = 8 pictures.
Quincy drew 20+8 = 28 pictures.
Altogether they drew 5+8+28 = 41 pictures | 41 | gsm8k | Randy drew 5 pictures. Peter drew 3 more pictures than Randy. Quincy drew 20 more pictures than Peter. How many pictures did they draw altogether? |
People who leave their grocery carts in the middle of the parking lot are being inconsiderate and creating a mess, so seeing them do that does not evoke feelings of love but rather annoyance. | No | FLUTE | Context: I get so ticked off when I see people leave their grocery carts in the middle of the parking lot.
Hypothesis: I love it when I see people leaving their grocery carts in the middle of the parking lot
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Unfortunately, the layer of good ozone is being destroyed by air pollution. The chief culprits are chlorine and bromine gases. They are released in aerosol sprays, coolants, and other products. Loss of ozone has created an ozone hole over Antarctica. Ozone depletion results in higher levels of UV radiation reaching Earth. In humans, this increases skin cancers and eye cataracts. It also disturbs the nitrogen cycle, kills plankton, and disrupts ocean food webs. The total loss of the ozone layer would be devastating to most life. Its rate of loss has slowed with restrictions on pollutants, but it is still at risk. | Planet n | ropes | Two neighboring habitable planets from the same solar system, planet U and planet N, had Earth-like atmospheres. The inhabitants of planet U destroyed the ozone layer by their actions, while their neighboring planet N didn't.
Based on the above, answer the following question:
Which planet had inhabitants that used fewer aerosol coolants? |
Erosion causes a river to become deeper and wider.
Erosion is the work of wind, water, and time.
The work of wind, water, and time causes a river to become deeper and wider. | 8 | qasc | The work of what causes a river to become deeper and wider?
1: looseness of dirt or compost
2: just time
3: Veins and arteries.
4: just wind
5: Physical weathering
6: The area was once underwater
7: just water
8: wind, water, and time |
You cannot sit and walk at the same time. You cannot be in a restaurant and in a parking lot at the same time.
| Yes | esnli | Given the statement "Three elderly women, two with canes, walk through a parking lot.", is the statement "Three women are sitting in a restaurant." wrong?
- Yes
- No
- Unknown |
A merchant in a red shirt sells produce at a farmers market in a park does not necessary that he sells bananas
| Unknown | esnli | Given the statement "A merchant in a red shirt sells produce at a farmers market in a park.", is the statement "A merchant sells bananas at a farmers market." wrong?
- Yes
- No
- Unknown |
If Robi contributed $4000, then Rudy contributed 1/4*4000 = $1000 more.
The total amount of money Rudy contributed is $4000+$1000 = $5000
Together, the contributed a total of $5000+$4000 = $9000
They made a 20% profit, a total of 20/100*$9000 = $1800
When they decided to share the profit equally, each received $1800/2 = $900 | 900 | gsm8k | Robi and Rudy contributed money to start a business that could earn them profit. Robi contributed $4000, and Rudy contributed 1/4 more money than Robi. If they made a profit of 20 percent of the total amount and decided to share the profits equally, calculate the amount of money each got. |
There is either an old person wearing a gray hat and a leather jacket surrounded by several other people, or a young guy in denim standing alone.
| False | esnli | Context: "an old wearing a gray hat and a leather jacket surrounded by several other people."
Hypothesis: The young guy in denim stood alone.
Based on the context, is the hypothesis true, false, or unknown? |
You can not assume the kayaker is riding down the mississippi just because he goes through the waves holding a paddle. He could be kayaking in the Gulf of Mexico.
| I don't know | esnli | Context: A kayaker goes through the waves holding his paddle.
Hypothesis: a kayaker is holding his paddle while riding down the mississippi.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
The phrase "man is with a woman" is a rephrasing of "man in a werewolf mask is with a woman wearing elf ears". The original phrase is just much more descriptive.
| Yes | esnli | Consider the statement "A man in a werewolf mask is with a woman wearing elf ears.". Based on this "A man is with a woman." a true statement? Yes, no, or I don't know? |
Let o be the number of obsolete books and d be the number of damaged books. We know that o + d = 69 and o = 6d - 8.
Substituting the first equation into the second equation, we get 6d - 8 + d = 69
Combining like terms, we get 7d - 8 = 69
Adding 8 to both sides, we get 7d = 77
Dividing both sides by 7, we get d = 11 | 11 | gsm8k | Erin is sorting through the library books to decide which ones to replace. She finds 8 less than 6 times as many obsolete books as damaged books. If she removes 69 books total, how many books were damaged? |
Sentence 1: People are walking and looking something. Sentence 2: People are walking through the museum ogling the beautiful gems on display.
| Unknown | esnli | Context: "People are walking and looking something."
Hypothesis: People are walking through the museum ogling the beautiful gems on display.
Based on the context, is the hypothesis true, false, or unknown? |
Bacteria can cause people to become ill.
Bacteria in the food causes the illness.
Food can cause illness. | [1] | qasc | What is a source of illness?
Options:
[1] food
[2] mold
[3] sand
[4] rabies
[5] oxygen
[6] magma
[7] mildew
[8] germs |
This can easily be converted into a fraction over a power of ten: \[
\frac{3}{8} = \frac{3 \cdot 125}{8 \cdot 125} = \frac{375}{1000} = 0.375.
\]Note: In general if you have a fraction that is some $\frac{x}{2^k}$, multiplying the numerator and denominator by $5^k$ will give a power of $10$ in the denominator for easy conversion to a decimal. In this case, $k = 3$. | $0.375$ | competition-math | Express $\frac{3}{8}$ as a decimal. |
Just because construction worker is staring down under does not mean he is looking around the basement.
| I don't know | esnli | Context: A construction man with a blue hard hat is staring down under.
Hypothesis: The construction worker is looking around the basement
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A generator converts kinetic energy into electrical energy.
Electrical energy is converted into light energy in the headlights.
A generator converts kinetic energy into something that is converted into light energy by headlights. | headlights | qasc | A generator converts kinetic energy into something, which can then be converted to light by what?
Options:
- focusing a lens
- sensory neurons
- headlights
- heating liquids
- sunlight
- Evaporation
- cycles
- engines |
It snows outside, the dog walks in the snow with a red toy in its mouth near an icy tree, therefore: a dog is outside playing with his toys near an icy tree with a red toy in its mouth because his mouth is the only way he can carry the toy.
| Yes | esnli | Consider the staetement "A black, white and brown dog waking in the snow with a red toy in its mouth near an icey tree.". Based on this statement, is "A dog is playing with its toys outside" a true statement? Yes/no/unknown |
The young Asian girl looking upset at a children's outdoor playground may not be because she was told she cannot go play.
| Unknown | esnli | Context: "Young Asian girl who looks upset at a children's outdoor playground." Claim: "An Asian girl frowns after being told she cannot go play."
Considering the context, is the claim true, false, or unknown? |
(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 | (5) | aqua | A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
(1) 122443
(2) 154546
(3) 165454
(4) 186545
(5) 220030 |
A handicapped man is a paraplegic as where a man who was not a handicap man does not require a wheelchair.
| No | esnli | Given the statement "A handicapped man dressed in blue holding the lead in a wheelchair race versus several other paraplegic athletes.", is the statement "A man was not handicap in a race." is true?
- Yes
- No
- I don't know |
Multiple women and men can be considered a group of people, and jogging/walking on a dirt trail would take place outside.
| No | esnli | Context: Two women are jogging and three men are walking on a dirt trail.
Hypothesis: A group of people spend the day outside
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Wood does not have lungs, so it is incapable of breathing. | (2) | senmaking | Of the following two sentences, which one is against common sense?
(1) "tom's breathing air."
(2) "wood is breathing air." |
Since $3(-2)=
abla+2$, then $-6 =
abla+2$ so $
abla = -6-2=-8$. | $-8$ | competition-math | If $3(-2) =
abla +2$, then what does $
abla$ equal? |
A lone walker does not have to be a man and just because the loner walks along a strip of beach doesnt mean he or she is watching them
| Unknown | esnli | Context: A lone walker and a family along a strip of beach.
Hypothesis: A man is watching a family at the beach.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
The man fell asleep on the sandy beach holding a guitar, wearing a tie dye shirt and cowboy hat with a dog; both are wearing sunglasses.
| False | esnli | Context: "An older man holding a guitar, wearing a tie dye shirt and cowboy hat with a dog; both are wearing sunglasses." Claim: "The man is asleep on a sandy beach."
Considering the context, is the claim true, false, or unknown? |
Not all sand castles are built for playing purposes, it could be for work, such as for a photo shoot.
| I don't know | esnli | Consider the statement "An older man wearing a hat is building a sand-castle on a public beach.". Based on this "The old man is playing with the sand." a true statement? Yes, no, or I don't know? |
A woman skating should be outdoors as skating is an outdoor activity, especially when photographers there.
| True | esnli | Context: "A woman with a gray helmet and black safety pads skates past the photographer."
Hypothesis: A woman is skating outdoors.
Based on the context, is the hypothesis true, false, or unknown? |
A man crouching next to an unfinished concrete edge needn't be a construction worker. Just because shovels and other tools lean against a tree, it doesn't mean the location is outside of a dig site. A man can crouch for reasons other than taking a break.
| Unknown | esnli | Context: "A man in a black shirt crouches next to a dirty unfinished concrete edge while several shovels and other tools lean against a tree nearby."
Hypothesis: A construction worker outside of a dig site takes a break.
Based on the context, is the hypothesis true, false, or unknown? |
A woman cannot be a man at the same time, and walking with an umbrella would indicate that the woman is on her feet and propelling herself forward while holding an umbrella, she cannot at the same time be supine on the ground under a rainbow.
| No | esnli | Consider the staetement "A woman in jeans walking with an umbrella.". Based on this statement, is "The man is laying under the rainbow." a true statement? Yes/no/unknown |
Women singing in a choir means they cannot take piano lessons at the same time which is referred for a girl.
| No | esnli | Given the statement "10 women dressed in long black dresses holding a booklet up sheet music in front of them singing in a choir. You can see the back of 3 older gentlemen heads who appear to be the audience", is the statement "A girl takes piano lessons." is true?
- Yes
- No
- I don't know |
- Soil is a kind of material
- Texture is a property of surfaces / materials / objects and includes ordered values of smooth / rough
- Hence, texture is a property of soil
- Texture is a property of soil
- The properties of something can be used to identify / used to describe that something
- So, texture can be used to identify soil
- Texture can be used to identify soil
- Touch can be used for detecting texture
- So, touching the soil can be used to identify the soil by detecting its texture
Hence, touching the soil can be used to identify the soil by detecting its texture | touching it | entailment_bank | Q: Mrs. Tucker gives her class samples of different soil types. Which action best helps Tanisha identify each soil type?
Context:
- The properties of something can be used to identify / used to describe that something
- Touch can be used for detecting texture
- Soil is a kind of material
- Texture is a property of surfaces / materials / objects and includes ordered values of smooth / rough |
Just because a glassblower is crafting a beautiful piece of art in his fire does not necessary that a glazier makes a custom piece for a customer.
| Unknown | esnli | Context: A glassblower is crafting a beautiful piece of art in his fire.
Hypothesis: A glazier makes a custom piece for a customer.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Just because the man is making balloon animals doesn't mean he is making them for kids who will arrive later.
| Unknown | esnli | Context: "A man making balloon animals on a city street."
Hypothesis: A man making balloon animals on a city street for kids who will arrive later.
Based on the context, is the hypothesis true, false, or unknown? |
On turning on the heater temperature increases | No | feasibilityQA | Temperature of the room is 29 units. Patrick turned on the heater.
Question: Is the following statement plausible?
The temperature after an hour could be 29 units. |
The set $S$ contains $25$ multiples of 2 (that is, even numbers). When these are removed, the set $S$ is left with only the odd integers from 1 to 49. At this point, there are $50-25=25$ integers in $S$. We still need to remove the multiples of 3 from $S$.
Since $S$ only contains odd integers after the multiples of 2 are removed, we must remove the odd multiples of 3 between 1 and 49. These are 3, 9, 15, 21, 27, 33, 39, 45, of which there are 8. Therefore, the number of integers remaining in the set $S$ is $25 - 8 = 17$. | $17$ | competition-math | The set $S = \{1, 2, 3, \ldots , 49, 50\}$ contains the first $50$ positive integers. After the multiples of 2 and the multiples of 3 are removed, how many integers remain in the set $S$? |
Like water in the ocean, air in the atmosphere exerts pressure that increases with depth. Most gas molecules in the atmosphere are pulled close to Earth’s surface by gravity. As a result, air pressure decreases quickly at lower altitudes and then more slowly at higher altitudes. This is illustrated in Figure below . Air pressure is greatest at sea level, where the depth of the atmosphere is greatest. At higher altitudes, the pressure is less because the depth of the atmosphere is less. For example, on top of Mount Everest, the tallest mountain on Earth, air pressure is only about one-third of the pressure at sea level. At such high altitudes, low air pressure makes it hard to breathe and is dangerous to human health. | Midgar | ropes | Consider the following text:
Molly has just moved to a new city for a job she was just hired for. She used to live in a city up in the mountains named Midgar. She liked living there due to the hikes she could go on and seeing the beautiful nature of the hills and mountains. The town she lives in now, Treno, is closer to sea level and is mostly flat plains and farm land. It's a change of scenery, and she hopes she starts to enjoy it more.
Which city has an atmosphere with less depth? |
In an hour, Emily can type 60 words *60 minutes = 3600 words.
It will take her 10800/3600 = 3 hours to write 10800 words. | 3 | gsm8k | Emily can type 60 words per minute. How many hours does it take her to write 10,800 words? |
A small child does not have to be a boy. Just because a small boy is wearing baseball regalia holds a bat behind his head with a baseball mounted in front of him it does not mean he is preparing for a baseball game.
| I don't know | esnli | Given the statement "A small boy wearing baseball regalia holds a bat behind his head with a baseball mounted in front of him.", is the statement "A small child is preparing for a baseball game." is true?
- Yes
- No
- I don't know |
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