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Fun and games means playing around and doing worthless things, which is the opposite of what being invisible entails. | Yes | FLUTE | Context: Being invisible was not all just messing around and doing nothing, as that incident had proved
Hypothesis: Being invisible was not all fun and games, as that incident had proved.”
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
People loudly breathing while they eat a sandwich can be considered to be quite annoying and so someone who loves that sound is not something normal. | Yes | FLUTE | Context: I hate it when people make loud breathing noises while eating a sandwich.
Hypothesis: I just love the sound of people loudly breathing while they eat a sandwich.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
甲仓库比乙仓库多$$100+80=180$$(吨)，乙仓库：$$180\div (2.5-1)=120$$（吨），甲仓库：$$120+180=300$$（吨），$$120+300=420$$（吨）． | (b) | TAL-SCQ5K | 现有甲、乙两个仓库，甲仓库的货物是乙仓库的$$2.5$$倍．如果甲仓库减少$$100$$吨，乙仓库增加$$80$$吨，则两个仓库的货物一样重，两个仓库的货物一共有吨．
Options:
(a) $$400$$
(b) $$420$$
(c) $$440$$
(d) $$460$$ |
In erosion, a slower moving stream will only carry smaller particles. | (1) | quartz | If the speed of a stream increases, the size of the particles carried in that stream
Options:
(1) increase
(2) decrease |
The Great Salt Lake is a Utah lake composed of salt water. Crocodiles natural habitat is salt water and they can breathe underwater for hours. Alligators have a natural habitat of fresh water. | Yes | strategyqa | Would a crocodile survive longer in Great Salt Lake than alligator? |
Decreasing air temperature increases atmospheric pressure. | a | quartz | Rich lives in Chicago, Illinois while Rachel lives in Sydney, Australia. Who likely experiences more atmospheric pressure in December?
Options:
a) Rich
b) Rachel |
Eating 5 pizzas in one day is an unhealthy thing to do and so no one should be proud of themselves for it. | Yes | FLUTE | Context: I ate 5 pizzas all by myself yesterday.
Hypothesis: I feel so proud that I ate 5 pizzas all by myself yesterday
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Naomi Watts starred in King Kong (2005 film). Naomi Watts has starred in several movies such as Divergent and the RIng. Divergent: Insurgent made 295 million at the box office worldwide . The Ring made 248 million at the box office worldwide . King Kong (2005 film) made 550 million at the box office worldwide. | Yes | strategyqa | Was King Kong (2005 film) the lead actress's biggest box office role? |
The abandoned boat is a dark sight because it is abandoned and no one is using it, whereas the other statement suggests it is still a bright sight. | False | FLUTE | Context: "Floating on the waves we saw the abandoned boat, a bright sight indeed." Claim: "Floating on the waves we saw the abandoned boat, a dark sight indeed."
Considering the context, is the claim true, false, or unknown? |
Klingons are a race in the fictional universe of Star Trek. The Last Jedi is a movie set in the fictional universe of Star Wars. | No | strategyqa | Did Klingons appear in the movie The Last Jedi? |
Talking during a movie is often inconsiderate and disruptive and so someone thinking it's cool is just exaggerating how terrible it really is. | No | FLUTE | Context: I really don't like it when people talk during a movie.
Hypothesis: I think it's really cool when people talk during a movie and ruin the experience for everyone
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
The number of rabbits was 80+34 = 114
The total number of rabbits and antelopes is 114+80 = 194
The number of hyenas was 42 fewer than the combined number of antelopes and rabbits, which is 194-42 = 152
The number of wild dogs was 50 more than the number of hyenas, that is 152+50= 202
The number of leopards is 1/2*114 = 57
The total number of animals Josie saw is 57+202+152+114+80 = 605 | 605 | gsm8k | Josie and her family went on a safari and had an exciting time watching different animals grazing and playing together. She decided to count each animal she saw and calculated their total number. She counted 80 antelopes, 34 more rabbits than antelopes, 42 fewer hyenas than the total number of antelopes and rabbits combined, 50 more wild dogs than hyenas, and the number of leopards was half the number of rabbits. What the total number of animals that Josie counted? |
Less massive objects also have less gravity than more massive objects. | A | quartz | The most massive objects have _____ gravity than less massive objects.
A) higher
B) lower |
A lot of people are scared of going to the dentist because it can be a painful experience and often times people have to get teeth pulled which is even more scary | Yes | FLUTE | Consider the statement "I am going to the dentist to have a tooth pulled tomorrow.". Based on this "I am feeling really scared about the fact that I have to go to the dentist tomorrow to have a tooth pulled" a true statement? Yes, no, or I don't know? |
With a higher the concentration of hydrogen ions, a solution is more acidic and has a lower pH. | more acidic | quartz | A small container that has 100 hydrogen ions is sitting near a larger container that has 2 hydrogen ions. The solution in the smaller container is
- more acidic
- less acidic. |
The total amount of money saved is $27 + $13 + $28 = $68.
The total cost of the two products is $49 + $5 = $54.
Kate has $68 − $54 = $14 left. | 14 | gsm8k | Kate saved $27 in March. She saved $13 in April and $28 in May. Then Kate spent $49 on a keyboard and $5 on a mouse. How much money does Kate have left? |
To give the go ahead is to allow or permit something, but in this sentence if the photos are disallowed or forbidden, then he will move on the dorchester. | No | FLUTE | Context: If you disallow or forbid the photos, I'll move on the dorchester.
Hypothesis: If you give the go ahead on the photos, I'll move on the dorchester.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
First find the number of stairs the players climb up and down each time: 32 stairs * 2 = 64 stairs
Then multiply the number of stairs per run by the number of runs to find the total number of stairs the players climb: 64 stairs/run * 40 runs = 2560 stairs
Then multiply the number of stairs by the number of calories each stair burns: 2560 stairs * 2 calories/stair = 5120 calories | 5120 | gsm8k | The football coach makes his players run up and down the bleachers 40 times. Each time they run up and down 32 stairs one way. If each stair burns 2 calories, how many calories does each player burn during this exercise? |
全部射中靶心的概率为$$0.4\times 0.4\times 0.4=0.064$$． | (a) | TAL-SCQ5K | 某射手在百步之外射箭恰好射到靶心的概率为$40 \%$，如果该射手在百步之外连射三箭，三箭全部射中靶心的概率为~\uline{~~~~~~~~~~}~.
(a) $$0.064$$
(b) $$0.072$$
(c) $$0.081$$
(d) $$0.09$$ |
Larger alkenes have lower boiling and melting points. | (1) | quartz | The bigger the alkene the _____ boiling and melting points.
(1) lower
(2) higher |
For 5 apples, Mary will pay 5*1= 5 dollars.
For 3 oranges, she will pay 3*2= 6 dollars.
For 2 bananas, she will pay 2*3 = 6 dollars.
She bought 5+3+2=10 fruits
For 10 fruits, Mary gets a discount of 10/5 = 2 dollars.
In total, the bill is 5 + 6 + 6 = 17 dollars.
Subtracting the discount offered by the stores, Mary will pay 17 - 2 = 15 dollars. | 15 | gsm8k | Mary went to the store to buy fruit. Apples cost $1, oranges cost $2, and bananas cost $3. For every 5 fruits that customers buy, the store offers a $1 discount. Mary buys 5 apples, 3 oranges, and 2 bananas. How much will she pay? |
One pound of mangoes cost $0.60 x 2 = $1.20.
So Kelly can buy $12/$1.20 = 10 pounds of mangoes. | 10 | gsm8k | One-half of a pound of mangoes costs $0.60. How many pounds can Kelly buy with $12? |
Alexander Nevsky was a Prince of Novgorod that fought against German and Swiss Invaders. The Russian Orthodox Church named Alexander Nevsky.a saint in 1547. The Russian Orthodox Church is a member of the Eastern Orthodox Church and has their own list of saints. The Catholic Church and the Eastern Orthodox Church have been in a state of official schism since the East–West Schism of 1054. The Ukrainian Greek Catholic Church is a branch of the Catholic Church. | No | strategyqa | Does Ukrainian Greek Catholic Church recognize Alexander Nevsky as a saint? |
$3:4=9:12$, $6:5=12:10$, their rewards were in the ratio of $9:12:10$. $620\div(9+12+10)=20$, $20\times9=180$. | 2 | TAL-SCQ5K | Tom, Jim and Peter earned £$620$ together for painting a wall. The ratio of Tom\textquotesingle s reward to Jim\textquotesingle s reward is $3:4$. The ratio of Jim\textquotesingle s reward to Peter\textquotesingle s reward is $6:5$. How much money did Tom earn?
1) £$60$
2) £$180$
3) £$80$
4) £$240$
5) £$200$ |
The idiom better late than never means that the delayed occurrence or achievement of something is better than it not happening at all, which is what is happening in this sentence. | Yes | FLUTE | Given the statement "Mike nods and trots over c although it would have been better if it happened earlier, at least it's happening now.", what is the statement "Mike nods and trots over c better late than never." true?
- Yes
- No
- Unknown |
To say no sweat is to say that something is not a problem or difficulty. | True | FLUTE | Context: "He turned his head to her and said that was not a problem." Claim: "He turned his head to her and said no sweat."
Considering the context, is the claim true, false, or unknown? |
Different types of rocks weather at different rates. More resistant types of rocks will remain longer. | 1 | quartz | John was looking at rocks in the valley and noticed something. The less resistant the rocks he looked at were, the amount they remained was
1) Shorter
2) Longer |
both sides are algebraic expressions. | C | TAL-SCQ5K | Which of the following is an algebraic equation with variable(s)? ．
A. $xy+91$
B. $5=3$
C. $x+1=y+4$ |
This 6-term geometric series has first term $a_0 = \frac12$ and ratio $\frac12$, so it has value \begin{align*}
\frac{\frac12(1-\left(\frac12\right)^{6})}{1-\frac12} &= 1-\left(\frac12\right)^{6}\\
&= 1-\frac1{64}\\
&= \frac{63{64}}.
\end{align*} | $\frac{63$ | competition-math | Find the sum of the first six terms in the geometric sequence $\frac12,\frac14,\frac18,\dots$. Express your answer as a common fraction. |
Gym shorts are generally considered to be unappetizing and not something one would want to eat so the simile implies that the food is disgusting. | Yes | FLUTE | Given the statement "The meal is disgusting.", what is the statement "The dish is as tasty as a pair of gym shorts" true?
- Yes
- No
- Unknown |
Two statements are contradictory because in one the features changed and in the other the features did not change. | Yes | FLUTE | Given the statement "A change came o'er their features.", is the statement "Not a change came o'er their features ." wrong?
- Yes
- No
- Unknown |
Sandra has 3 * 12 = 36 oranges.
So, Emily has 7 * 36 = 252 oranges. | 252 | gsm8k | Emily has 7 times as many oranges as Sandra. Sandra has 3 times as many oranges as Betty. If Betty has 12 oranges, how many oranges does Emily have? |
$$2014$$要变成$$1$$就需要除以一个数，而除数只能是一位数，那么这个除数显然是越大越好．第一次操作$$2014+2=2016$$；第二次操作$$2016\div9=224$$；第三次操作$$224\div 8=28$$；第四次操作$$28\div 7=4$$；第五次操作$$4\div 4=1$$． | [b] | TAL-SCQ5K | 将一个数加上或减去或乘或除以一个一位数（$$0$$不是一位数）视为一次操作，比如$$53$$可以通过加$$3$$，除以$$7$$，除以$$8$$三次操作变成$$1$$．那么$$2014$$至少经过（~~~~~~~ ）次操作可变成$$1$$．
[a] $$4$$
[b] $$5$$
[c] $$6$$
[d] $$7$$ |
Rougher surfaces have more friction between them than smoother surfaces. | (2) | quartz | A piece of sandpaper was rubbed across a glass table, then the sandpaper was rubbed across some gravel. The friction will be greater between
(1) the sandpaper and the glass table or
(2) the sandpaper and the gravel. |
The Pacific War took place between 1941 and 1945. The musket became obsolete in modern warfare starting near 1870. | No | strategyqa | Were muskets used in the Pacific War? |
Hanging is typically set up using rope. Ships have plenty of rope on board because their operation relies heavily on rope. | Yes | strategyqa | Is hanging a viable execution method on a ship at sea? |
He makes 3 batches of baguettes a day, 48 per batch so he makes 3*48 = 144
He sells 37, then 52 then 49 baguettes for a total of 37+52+49 = 138
He had 144 to sell and he sold 138 so he has 144-138 = 6 left over | 6 | gsm8k | The bakery makes 3 batches of baguettes a day. Each batch has 48 baguettes. After the first batch came out, he sold 37. After the second batch, he sold 52. After the third batch he sold 49. How many baguettes are left? |
The given equation can be factored as $$
0=8xy-12y+2x-3=4y(2x-3)+(2x-3)=(4y+1)(2x-3).
$$For this equation to be true for all values of $y$ we must have $2x-3=0$, that is, $x=\frac{3{2}}$. | $\frac{3$ | competition-math | Find the value(s) of $x$ such that $8xy-12y+2x-3=0$ is true for all values of $y$. |
$$200\times 20\div 25\text{=}160$$米 | 2 | TAL-SCQ5K | 四年级（1）班50名同学帮助老师把20捆教科书搬到200米外的图书馆，两人抬一捆，大家轮流休息，平均每人抬( )米.
1) 80
2) 160
3) 180
4) 200 |
She bought 2 pies that had 8 slices each for a total of 2*8 = 16 slices
Rebecca ate 2 of the 16 slices leaving 16-2 =14 slices
Her family and friends at 50% of the pie so they ate 14*.50 = 7 slices
There were 14 slices and her family and friends ate 7 slices so that leaves 14-7 = 7 slices
Sunday night Rebecca and her husband each had a slice from the remaining slices so that leaves 7-2 = 5 slices | 5 | gsm8k | Rebecca bought 2 pies for the holiday weekend. Each pie was sliced into 8 slices. Rebecca ate 1 slice of each pie. Her family and friends ate 50% of the remaining pies over the weekend. On Sunday evening Rebecca and her husband each had another slice of pie. How many slices are remaining? |
任何三个连续排列的数字都构成一个三位数，说明没有数字$$0$$，$$\left. 11 \right\textbar990$$，$$\left. 13 \right\textbar988$$则首三位为$$988$$，选择题这是已经得到答案了！接着往下分析$$88$$，$$13\left\textbar{} 884 \right.$$，$$11\left\textbar{} 880 \right.$$，所以第四位最大为$$4$$，依次类推，得到答案，$$9884737$$． | [2] | TAL-SCQ5K | （2）在一个七位数中，任何三个连续排列的数字都构成一个能被$$11$$或$$13$$整除的三位数，那么这个七位数最大是．
[1] $$9981733$$
[2] $$9884737$$
[3] $$9978137$$
[4] $$9871773$$ |
In a time where fake news is becoming more and more prevalent, it is important for media sources to be fact checking their stories before reporting them | Yes | FLUTE | Context: I am so angry to see media reporting news without fact checking these days.. It is harming the country
Hypothesis: Seeing the media just spewing out whatever they want without any fact checking is enraging and is harming the country
Given this context, is the hypothesis true (Yes/No/I don't know)? |
An elemental spirit is a being that is often seen as dark and dangerous and very ugly. | True | FLUTE | Context: "He seemed unnecessarily ugly ."
Hypothesis: He seemed like a dark and elemental spirit .
Based on the context, is the hypothesis true, false, or unknown? |
Jobs for the boys refers to giving paid employment to your friends, supporters, or relations, which is what the context is referring to. | True | FLUTE | Context: "But this isn't a case of giving paid employment to your friends, supporters, or relations."
Hypothesis: But this isn't a case of jobs for the boys.
Based on the context, is the hypothesis true, false, or unknown? |
Mike Tyson is a boxer. The gogoplata is a chokehold used in mixed martial arts and various submission grappling disciplines. | No | strategyqa | Did Mike Tyson train to use the gogoplata? |
Girls $=14\times\textbackslash$16=\textbackslash$224$ Boys $=\textbackslash$459-\textbackslash$224=\textbackslash$235$ Each boy $=\textbackslash$235\div5=\textbackslash$47$ | b | TAL-SCQ5K | A sum of $$\textbackslash$459$$ was shared among $$5$$ boys and $$14$$ girls. Each girl received $$\textbackslash$16$$. How much did each boy get?
a: $$$38$$
b: $$$47$$
c: $$$52$$
d: $$$56$$ |
A year has 52 weeks, so if he talks for 30 minutes every week, the total number of call hours is 52*30 = 1560 minutes.
Since he is charged 0.05 cents per call, the total cost is 1560*.05 = 78 dollars | 78 | gsm8k | Noah, who loves his Grammy, calls her every week to talk about his day. If each call lasts 30 minutes and he is charged $0.05 per call minute, how much would he be billed if he makes the calls for a year? |
When Granddad would have claimed to be $$49$$ he was actually $$51$$, $$48$$ when he was actually $$52$$- in every case his claimed age and his real age have a total of $$100$$. So this year his age is $$100-33=67$$. | $$67$$ | TAL-SCQ5K | When Patience asked her Granddad how old he was, he answered, "I am $$34$$ now and will be $$33$$ on my birthday." She looked confused so he added, "After being $$50$$ for a year I started counting backwards on each birthday. " How old will he actually be on his birthday?
$$33$$
$$34$$
$$56$$
$$67$$
$$83$$ |
Van Morrison's most played song was the hit Brown Eyed Girl. Between 55 to 79 percent of people worldwide have brown eyes. Brown is the most common eye color. | No | strategyqa | Does title of Van Morrison's most played song apply to a minority of women worldwide? |
$$=(2008+1)\times 2009-2008\times 2008$$ $$=2008\times 2009+2009-2008\times 2008$$ $$=2008\times (2009-2008)+2009$$ $$=2008+2009$$ $$=4017$$． | $$4017$$ | TAL-SCQ5K | $$2009\times 2009-2008\times 2008=$$．
$$4017$$
$$4007$$
$$4027$$
$$3017$$ |
Lars can bake 10 x 6 = 60 loaves of bread every day.
She can also bake 30 x 3 = 90 baguettes every day.
Therefore the total bread she can bake is 60 + 90 = 150. | 150 | gsm8k | Lars owns a bakeshop. She can bake 10 loaves of bread within an hour and 30 baguettes every 2 hours. If she bakes 6 hours a day, how many breads does she makes? |
NA | [A] | TAL-SCQ5K | There is an equation with all integers in the upper squares, and the answer on the right side is only the approximation of $$\frac{\square }{3}+\frac{\square }{5}+\frac{\square }{7}\approx 1.16$$ after rounding off. The numbers in each of the three upper squares of the equation are~\uline{~~~~~~~~~~}~in order.
Options:
[A] $1,2,3$
[B] $1,3,5$
[C] $1,4,3$
[D] $2,1,2$
[E] $2,3,5$ |
If the gas is heated, the particles will move faster as they gain more energy. | (A) | quartz | Dana wants the gas to move with as little energy as possible so the particles can move slowly. Dana will then do this to the gas
(A) cool
(B) heat |
The total number of panels required is 20*10 = 200 panels.
When 50 failed to be delivered, the total number available for use became 200-50 = 150 panels.
If each home requires 10 panels, the number of homes that had panels installed is 150/10 = 15 homes | 15 | gsm8k | Faith's neighborhood, with a total of 20 homes, decided to install solar panels. Each home needed 10 panels capable of providing their power needs. The supplier of the panels brought 50 panels less than the required amount. The neighbors agreed to only install the panels up to where they'd be finished. How many homes had their panels installed? |
$$2\times3-1=5$$ | A | TAL-SCQ5K | I think of a number. When I divide it by $$2$$, the remainder is $$1$$. When I divide it by $$3$$, the remainder is $$2$$. What is the smallest possible value of the number?~\uline{~~~~~~~~~~}~
Options:
A: $$5$$
B: $$6$$
C: $$7$$
D: $$8$$ |
Pigments in the skin act like a filter that can prevent the skin from making vitamin D. As a result, people with darker skin need more time in the sun than people with lighter skin to make the same amount of vitamin D. | (A) | quartz | Polly was out in the sun. She has light skin. Her skin likely absorbs _____ vitamin D than a dark-skinned person.
(A) more
(B) less |
Jolyn is 2 + 5 = 7 months older than Aivo.
Since Leon is 2 months older than Aivo, then Jolyn is 7 - 2 = 5 months older than Leon. | 5 | gsm8k | Four classmates were comparing their ages based on their birth month. They found out that Jolyn is 2 months older than Therese while Therese is 5 months older than Aivo. Then, Leon is 2 months older than Aivo. How much older in months is Jolyn than Leon? |
To go bananas means to become irrational or crazy, and in this sentence she would become irrational if she had to go to jail. | Yes | FLUTE | Consider the statement "She couldn't handle jail; she'd lose her mind.". Based on this "She couldn't handle jail; she'd go bananas." a true statement? Yes, no, or I don't know? |
Joe spends 1200+800+3000=5000 dollars.
Joe has 6000-5000=1000 dollars left. | 1000 | gsm8k | Joe saves $6,000 for his trip to Australia. If he spends $1,200 on the flight, $800 on a hotel, and $3,000 on food, how much money, in dollars, does he have left? |
A phonograph is an outdated technology, and thus by saying law enforcement is like a phonograph, it is saying that law enforcement is now irrelevant. | No | FLUTE | Context: Most of law enforcement is now irrelevant.
Hypothesis: The majority of law enforcement has become like a phonograph at a smartphone convention.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Recall that division is the same as multiplication by a reciprocal. In other words, if $b$ is nonzero, then $a \div b = a\cdot \frac{1}{b}$. In this case, \[
\frac{3}{4}\div \frac{7}{8} = \frac{3}{4}\cdot \frac{8}{7} = \frac{3\cdot 8}{4\cdot 7}=\frac{8}{4} \cdot \frac{3}{7} = 2 \cdot \frac{3}{7} = \frac{6{7}}.
\] | $\frac{6$ | competition-math | What is $\frac{3}{4}$ divided by $\frac{7}{8}$? |
~\uline{~~~~~~~~~~}~$\div$ $7=$~\uline{~~~~~~~~~~}~$R1$ $36-1=35$, $35\div7=5$, so the answer is $D$. | $$36$$ | TAL-SCQ5K | A box has fewer than $50$ cookies in it. The cookies can be divided evenly between $2, 3,$ or $4$ children. However, they cannot be divided evenly between $7$ children because $6$ more cookies would be needed. How many cookies are there in the box? (2021 Math Kangaroo Problem, Level 3-4, Question \#21)
$$12$$
$$24$$
$$30$$
$$36$$
$$48$$ |
If the paper boy threw the newspaper softly then the window wont be affected but instead the paper boy threw the newspaper with too much force and it broke the window. | Yes | FLUTE | Context: The new paper boy flung the newspaper and broke my window today morning
Hypothesis: The new paper boy threw the newspaper so softly it broke my window this morning
Is the hypothesis incorrect? (Yes, no, or unknown)? |
$$123$$、$$198$$、$$792$$、$$693$$、$$594$$、$$495$$、$$495$$、$$495$$，可以发现选项的$$4$$个数字都会陷入$$495$$的数字黑洞，所以数字黑洞是$$495$$．故选$$\text{B}$$． | [B] | TAL-SCQ5K | 任选$$3$$个不同的数字，按从大到小的顺序排成一个数，再按从小到大的顺序排成一个数，用大数减去小数（如$$1$$，$$2$$，$$0$$，就用$$210-12=198$$），用所得结果的三位数重复上述过程，最后陷入的``数字黑洞''是．
[A] $$123$$
[B] $$495$$
[C] $$594$$
[D] $$954$$ |
7-7 + 16-6 + 34-4 + 45-15 +50 = 0+10+30+30+50 = 120 | B | TAL-SCQ5K | Calculate the value of 7 + 16 + 34 + 45 + 50 - 6 - 15 - 4 - 7
A) $$70$$
B) $$120$$
C) $$127$$
D) $$124$$
E) None of the above |
To cut and run means to leave a situation very quickly, and in this sentence they are considering fleeing and abandoning just as their comrades are doing. | Yes | FLUTE | Consider the staetement "Their first reaction was to flee and abandon, just as their comrades were in the process of doing down on kly.". Based on this statement, is "Their first impulse was to cut and run, just as their comrades were in the process of doing down on kly." a true statement? Yes/no/unknown |
If two of the labels are wrong, \textbf{one label is correct.} If the label on Box A is correct, Box A contains white marbles. The label on Box B is wrong, so Box B contains white marbles. The label on Box C is wrong, so Box B contains white marbles. Therefore, Box A and Box B contain white marbles, while \textbf{Box C} contains blue marbles. | [C] | TAL-SCQ5K | A box contains blue marbles. Another two boxes contain only white marbles. Label on Box $$\rm A$$: white marbles Label on Box $$\rm B$$: blue marbles Label on Box $$\rm C$$: Box $$\rm B$$ contains blue marbles Which box contains blue marbles if two of the above labels are wrong?．
[A] Box A
[B] Box B
[C] Box C |
Dogs that bark at every noise can be really annoying especially if it's a loud dog and it happens all the time | True | FLUTE | Context: "My dog wont stop barking at every little noise." Claim: "My dog barks at every noise he hears and it's really getting on my last nerve"
Considering the context, is the claim true, false, or unknown? |
\hfill\break 已知不等关系说明函数是减函数，再由偶函数得$f(-2)=f(2)$，然后由单调性可得大小关系．\\ 【详解】\\ ∵对任意的${{x}_{1}},{{x}_{2}}\in [0,+\infty ),{{x}_{1}}
e {{x}_{2}}$，有$({{x}_{2}}-{{x}_{1}})[f({{x}_{2}})-f({{x}_{1}})]\textless{} 0$，\\ ∴$f(x)$在$[0,+\infty )$上是减函数．\\ ∴$f(3) \textless{} f(2) \textless{} f(1)$，\\ ∵$f(x)$是偶函数，∴$f(-2)=f(2)$\\ ∴$f(3)\textless{} f(-2)\textless{} f(1)$．\\ 故选：A． | \emph{f}(3)\textless{}\emph{f}(-2)\textless{}\emph{f}(1) | TAL-SCQ5K | 定义在\emph{R}上的偶函数\emph{f}(\emph{x})满足:对任意的${{x}_{1}},{{x}_{2}}\in [0,+\infty ),{{x}_{1}}
e {{x}_{2}}$，有$({{x}_{2}}-{{x}_{1}})[f({{x}_{2}})-f({{x}_{1}})]\textless{} 0$，则（~~~~~~~）
- \emph{f}(3)\textless{}\emph{f}(-2)\textless{}\emph{f}(1)
- \emph{f}(1)\textless{}\emph{f}(-2)\textless{}\emph{f}(3)
- \emph{f}(3)\textless{}\emph{f}(1)\textless{}\emph{f}(-2)
- \emph{f}(-2)\textless{}\emph{f}(1)\textless{}\emph{f}(3) |
The idiom "no smoke without fire" means that there is usually truth behind a rumor, but in this context there is no truth behind the rumor. | Yes | FLUTE | Given the statement "There is usually no truth behind a rumor, ava.", is the statement "There is no smoke without fire, ava. '" wrong?
- Yes
- No
- Unknown |
When particles move more quickly, temperature is higher and an object feels warmer. | move more slowly | quartz | When Milo cools down a pan on the stove, the particles begin to
- move more quickly
- move more slowly |
If Sebastian is 40 years old and 10 years older than his sister, his sister is 40-10=30 years old.
Five years ago, Sebastian was 40-5=35 years old.
Similarly, Sebastian's sister's age was 30-5=25 years old.
The sum of their ages five years ago was 25+35=60
Five years ago, the sum of Sebastian's age and his sister's age was 3/4 of their father's age, meaning their father's age was 60 / 3/4 = 80 years.
The father's age is now 80+5=85 | 85 | gsm8k | Five years ago, the sum of Sebastian's age and his sister's age was 3/4 of their father's age. How old is their father today if Sebastian is 40 years old and 10 years older than his sister? |
First find how many MB are left to download: 880 MB - 310 MB = 570 MB
Then divide that number by the download speed to find the download time: 570 MB / 3 MB/minute = 190 minutes | 190 | gsm8k | Mason is trying to download a 880 MB game to his phone. After downloading 310 MB, his Internet connection slows to 3 MB/minute. How many more minutes will it take him to download the game? |
His income tax is 10% of 500 which is 500*10% = $50.
His tithe costs 10% of $500 which is 500*10% = $50.
The total expenses are 50 + 55 + 50 = $155
He is then left with $500 - $ 155= $345. | 345 | gsm8k | Alex gets paid $500 a week and 10% of his weekly income is deducted as tax. He also pays his weekly water bill for $55 and gives away another 10% of his weekly income as a tithe. How much money does Alex have left? |
If seven more rabbits are added to the thirteen in the cage, the total number becomes 7+13 = 20
Triple the number of rabbits in the cage is 3*20 = 60, the same as the number of rabbits that Jasper saw at the park today. | 60 | gsm8k | If seven more rabbits are added to the thirteen in the cage, the number of rabbits in the cage will be 1/3 the number of rabbits Jasper saw in the park today. How many rabbits did Jasper see in the park today? |
To give someone the slip means to escape from them, but in this sentence he decided to stay close to them instead | Yes | FLUTE | Given the statement "Turns out he was under a lot of debt and finally decided to stay close to them and not escape.", is the statement "Turns out he was under a lot of debt and finally decided to gave them the slip." wrong?
- Yes
- No
- Unknown |
First translate the feet to inches or 10 feet * 12 inches per foot = 120 inches.
Then use length * width which is 120 * 120 = 14400 square inches. | 14400 | gsm8k | There are 12 inches to a foot. Blossom measures her room and finds that it is exactly 10 feet long in each direction. In square inches, what is the area of her room? |
The higher the temperature, the more energy the particles have and the faster they will move and diffuse. | [a] | quartz | As we move faster we wind up getting
[a] hotter
[b] cooler |
The glaciers on Earth are getting smaller and smaller as Earths temperature rises. | 2 | quartz | If Earth's average temperature were to plummet, Earth's glaciers should
1: decrease
2: increase |
Anya has 4 x 4 = 16 erasers.
Thus, Anya has 16 - 4 = 12 more erasers than Andrea. | 12 | gsm8k | Anya has 4 times as many erasers as Andrea. If Andrea has 4 erasers, how many more erasers does Anya have than Andrea? |
The bottom of the gulf is one of the world's largest ship cemeteries. Because of the low salinity and cold waters, and no shipworms, the ships are relatively well preserved. RMS Titanic was a British passenger ship. | Yes | strategyqa | Would the Titanic be well preserved at the bottom of the Gulf of Finland? |
Stealing is an act of taking something without permission and often done when the person stealing is in need | Yes | FLUTE | Given the statement "I just witnessed someone steal from an old woman walking across the street. Boils my blood!", what is the statement "I just saw a heartless thief steal from an old woman walking across the street" true?
- Yes
- No
- Unknown |
\begin{align*}
\dbinom{6}{3} &= \dfrac{6!}{3!3!} \\
&= \dfrac{6\times 5\times 4}{3\times 2\times 1} \\
&= \dfrac{6}{3\times 2\times 1} \times 5 \times 4 \\
&= 1 \times 5 \times 4 \\
&= 20.
\end{align*} | $20$ | competition-math | Compute $\dbinom{6}{3}$. |
There are 1 * 3 = 3 blocks in the second layer.
There are 3 * 3 = 9 blocks in the third layer.
There are 9 * 3 = 27 blocks in the fourth layer.
Thus, there are 1 + 3 + 9 + 27 = 40 sandstone blocks in the pyramid. | 40 | gsm8k | A four-layer pyramid is being built with each layer having three times as many sandstone blocks as the layer above it. The top layer is a single block. How many sandstone blocks are in the pyramid? |
There were 30*.5=15 ounces of unburnt steak
So he ate 15*.8=12 ounces of steak | 12 | gsm8k | John's grill messes up and burns half his steak. He eats 80% of what isn't burned. If the steak was originally 30 ounces how much steak did he eat? |
People who read text messages and do not reply are not attentive because they are not taking the time to respond to the other person. | False | FLUTE | Context: "Some people are so slow at answering text messages it's like they read it and never reply" Claim: "Some people are so attentive that they read your text messages and never reply"
Considering the context, is the claim true, false, or unknown? |
孙悟空打妖精的工作效率是$$\frac{1}{30}$$； 猪八戒与孙悟空合作打妖精的工作效率是$$\frac{1}{24}$$， 则有猪八戒打妖精的工作效率是$$\frac{1}{24}-\frac{1}{30}=\frac{1}{120}$$； 沙和尚、猪八戒与孙悟空合作打妖精的工作效率是$$\frac{1}{20}$$， 所以沙和尚和孙悟空合作打妖精的工作效率为$$\frac{1}{20}-\frac{1}{120}=\frac{1}{24}$$， 需$$1\div \frac{1}{24}=24$$分钟． | E | TAL-SCQ5K | 取经路上，师徒四人被妖精重重包围．孙悟空一个人，预计$$30$$分钟可以消灭所有妖精，如果猪八戒帮助他，可以比预计提前$$6$$分钟消灭所有妖精；如果猪八戒和沙和尚一起帮助他，可以比预计提前$$10$$分钟消灭所有妖精．现在猪八戒要保护师傅，只有沙和尚帮助孙悟空，那么需要分钟才能消灭所有妖精．
Options:
A: $$16$$
B: $$18$$
C: $$20$$
D: $$22$$
E: $$24$$ |
Masaharu Morimoto is a Japanese chef. Japanese cuisine relies on several forms of seaweed as ingredients and flavorings for broth like kombu dashi. Glutamic acid has been identified as the flavoring component in kombu seaweed. | Yes | strategyqa | Does Masaharu Morimoto rely on glutamic acid? |
显然，$$168$$小于$$200\times 0.9=180$$ ，没有经过打折；$$423$$小于$$500\times 0.9=450$$ ，且大于$$200$$，所以这是经过$$9$$折后的价格；合在一起是$$168+423\div 0.9=638\textgreater500$$ ，按照③，可是应付款为：$$500\times 0.9+138\times 0.8=560.4$$ 元． 故选$$\text{C}$$． | (c) | TAL-SCQ5K | 某商场对顾客实行优惠，规定：①如一次购物不超过$$200$$元，则不予折扣；②如一次购物超过$$200$$元但不超过$$500$$元的，按标价给予九折优惠；③如一次购物超过$$500$$元的，其中$$500$$元按第②条给予优惠，超过$$500$$元的部分则给予八折优惠．某人两次去购物，分别付款$$168$$元和$$423$$元；如果他只去一次购物同样的商品，则应付款是（~ ）．
(a) $$522.8$$元
(b) $$510.4$$元
(c) $$560.4$$元
(d) $$472.8$$元 |
In the first three turns, Susan has moved 8 + 2 - 5 + 6 = 11 spaces.
Susan has 48 - 11 = 37 spaces to move to win the game. | 37 | gsm8k | Susan is playing a board game with 48 spaces from the starting space to the winning end space of the game. On the first turn, she moves forward eight spaces. On the second turn, she moves two spaces, but lands on a space that sends her back five spaces. On the third turn, she moves forward six more spaces. How many spaces does she have to move to reach the ending space and win the game? |
算式中的分母是裂项计算的最基本形式，但分子比较复杂，我们可以从前几项找找规律： $$\frac{{{1}^{2}}+{{2}^{2}}}{1\times 2}=\frac{5}{2}=2\frac{1}{2}$$，$$\frac{{{2}^{2}}+{{3}^{2}}}{2\times 3}=\frac{13}{6}=2\frac{1}{6}$$，$$\frac{{{3}^{2}}+{{4}^{2}}}{3\times 4}=\frac{25}{12}=2\frac{1}{12}$$． 我们发现一规律：每一项减去$$2$$后，分子就变成了$$1$$． 再来试试最后一项：$$\frac{{{19}^{2}}+{{20}^{2}}}{19\times 20}=\frac{761}{380}=2\frac{1}{380}$$， 也满足这个规律，这是为什么呢？ 观察每一项的分子和分母，我们发现分子的每个加数都与分母大小接近，可以做如下变形： $$\frac{{{19}^{2}}+{{20}^{2}}}{19\times 20}=\frac{19\times \left( 20-1 \right)+20\times \left( 19+1 \right)}{19\times 20}$$ $$=\frac{19\times 20\times 2+\left( 20-19 \right)}{19\times 20}$$ $$=2+\frac{1}{19\times 20}$$． 算式中的每一项都能像上面一样进行变形，所以： 原式$$=2\frac{1}{1\times 2}+2\frac{1}{2\times 3}+\cdots +2\frac{1}{19\times 20}$$ $$=2\times 19+\frac{1}{1\times 2}+\frac{1}{2\times 3}+\cdots +\frac{1}{19\times 20}$$ $$=38+1-\frac{1}{20}$$ $$=38\frac{19}{20}$$． | $$38\frac{19}{20}$$ | TAL-SCQ5K | 【提升7】 计算：$$\frac{{{1}^{2}}+{{2}^{2}}}{1\times 2}+\frac{{{2}^{2}}+{{3}^{2}}}{2\times 3}+\cdots +\frac{{{18}^{2}}+{{19}^{2}}}{18\times 19}+\frac{{{19}^{2}}+{{20}^{2}}}{19\times 20}$$
- $$38\frac{19}{20}$$
- $$36\frac{19}{20}$$
- $$38\frac{11}{20}$$
- $$36\frac{13}{20}$$ |
The more field lines that are drawn, the stronger the field. | more field lines | quartz | Shane wants a field that is very strong. In order do achieve this goal, Shane needs to draw
* less field lines
* more field lines |
There is no dark blue ball in the box. | A | TAL-SCQ5K | There are $20$ balls of the same size in a box. Lucas says: "Half of them are red." Peter says: "The number of red balls is $5$ times that of green balls." Claire says: "There are three colors of balls in the box: red, light blue, and green." How many dark blue balls are there in the box?
Options:
A) $$0$$
B) $$2$$
C) $$6$$
D) $$8$$
E) $$10$$ |
No sweat means not a problem or difficulty, so in this context it's not a problem for her to order while bobbing her skull. | Yes | FLUTE | Consider the statement "Mella orders, while bobbing her skull up and down several times not a problem she thinks". Based on this "Mella orders, while bobbing her skull up and down several times ,no sweat she thinks." a true statement? Yes, no, or I don't know? |
To cruise for a bruising is to ask for trouble or act in a way that is likely to result in punishment or harm, but the speaker was not doing either of those things. | No | FLUTE | Consider the staetement "I was, to put it bluntly, not asking for trouble and not acting in a way that would result in punishment or harm.". Based on this statement, is "I was, in the parlance of an ancient day, cruising for a bruising." a true statement? Yes/no/unknown |
On Monday, 7 hours of rain at a rate of 1 inch per hour is 7*1=7 inches of rain.
On Tuesday, 4 hours of rain at a rate of 2 inches per hour is 4*2=8 inches of rain.
Twice the rate of Tuesday is 2*2=4 inches per hour.
Wednesday, 2 hours of rain at a rate of 4 inches per hour is 2*4=8 inches of rain.
The combined total of the rainfall for these three days is 7+8+8=23 inches of rain. | 23 | gsm8k | It is the rainy season in central Texas. It rained for 7 hours on Monday at a rate of 1 inch per hour. On Tuesday, it rained for 4 hours at a rate of 2 inches per hour, and on Wednesday, it rained for 2 hours at a rate of twice that of the previous day. What is the total combined rainfall, in inches, for these three days? |
A queen from King Arthur's court would be an elegant and regal figure, looking frail and ethereal, yet somehow powerful | Yes | FLUTE | Context: In it, anita looked frail and ethereal, yet somehow powerful
Hypothesis: In it, anita looked like an aged queen from king arthur's court.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
现在只知道第一根钢管用去$$\frac{3}{10}$$米，第二根钢管用去$$\frac{3}{10}$$，并不知道这两只钢管的长度，它们可能很长，也可能很短，这样就可以任意由我们来假设这两根钢管的长度。我们先来看看选项$$A$$是否成立，$$A$$要求第一根钢管剩下的部分长些，那我们可以假设第一根钢管的长为$$10$$米，第二根钢管的长为$$1$$米，显然这样就可以满足选项$$A$$。再来看看选项$$B$$，$$B$$要求第二根钢管剩下的部分长些，那我们可以假设第一根钢管的长为$$1$$米，第二根钢管剩下的部分同样长，我们假设第一根钢管的长为$$1$$米，那么用去$$\frac{3}{10}$$米后还剩下$$\frac{7}{10}$$米，若要第二根钢管剩下的长度也为$$\frac{7}{10}$$米，只要第二根钢管原来的长为$$\frac{7}{10}\div \left( 1-\frac{3}{10} \right)=1$$（米）即可，选项$$C$$也可以满足。 | 4 | TAL-SCQ5K | 有两根钢管，第一根用去$$\frac{3}{10}$$米，第二根用去$$\frac{3}{10}$$，比较这两根钢管剩下部分的长度，结果是( )
1: 第一根钢管剩下的部分长些
2: 第二根钢管剩下的部分长些
3: 两根钢管剩下的部分同样长
4: 以上三种结果都有可能 |
Scholastic probation or academic dismissal, sometimes known as flunking out, is the termination of students at a higher educational institution as the result of poor academic achievement. Michael Crichton obtained his bachelor's degree in biological anthropology summa cum laude in 1964. Summa cum laude is the highest distinction a person can achieve in college for academic success. Someone who achieves summa cum laude cannot have even a single semester of poor grades. | No | strategyqa | Was Michael Crichton ever in danger of flunking out of Harvard as an undergraduate? |
To bugger all means to do nothing or next to nothing, and in this sentence the person spent an afternoon in a bath that did nothing to help them. | True | FLUTE | Context: "I spent the whole afternoon in a bath full of tepid water that was supposed to help and did absolutely nothing." Claim: "I spent the whole afternoon in a bath full of tepid water that was meant to help and did bugger all."
Considering the context, is the claim true, false, or unknown? |