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假设她全做对，可得：$$15\times 10=150$$（分）， 现在得了$$88$$分，少了：$$150-88=62$$（分）， 做错一题，不但得不到$$10$$分，还扣$$4$$分， 说明错一题，少得$$10+4=14$$（分）， 不答得$$0$$分，说明不答少得$$10$$分， ∵$$62\div 14=4$$（题）$$\cdots 6$$（分），$$6$$不是$$10$$的倍数， 不合题意； $$62\div 14=3$$（题）$$\cdots 20$$（分），$$20$$是$$10$$的倍数， 符合题意； ∴未答的题有$$20\div 10=2$$（题）． 选$$\text{A}$$． | [1] | TAL-SCQ5K | 五年级数学测评试卷共有$$15$$小题，做对一题得$$10$$分，做错一题扣$$4$$分，不答得$$0$$分，陈莉得了$$88$$分，她有道题未答．
[1] $$2$$
[2] $$3$$
[3] $$4$$
[4] $$5$$ |
Billy has 15 suggestions generate for him 5 times for 15*5=75 videos.
There are 15-5 = 10 shows in the final set of suggestions he doesn't consider
This means he picks the 75 - 10 = 65th show YouTube suggests | 65 | gsm8k | Billy wants to watch something fun on YouTube but doesn't know what to watch. He has the website generate 15 suggestions but, after watching each in one, he doesn't like any of them. Billy's very picky so he does this a total of 5 times before he finally finds a video he thinks is worth watching. He then picks the 5th show suggested on the final suggestion list. What number of videos does Billy watch? |
There were 60 guests / 2 = 30 women at my mother's birthday celebration.
There were 30 women + 15 men = 45 men and women.
So, 60 people - 45 men and women = 15 were children.
Then, 15 men / 3 = 5 men left.
Thus, 5 men + 5 children = 10 people left.
Therefore, 60 people - 10 people = 50 people stayed and enjoyed the birthday celebration. | 50 | gsm8k | My mother celebrated her birthday with a total of 60 guests. Half of the guests are women, 15 are men, and the rest are children. In the middle of the celebration, 1/3 of the men and 5 children left. How many people stayed and enjoyed the birthday celebration? |
To check if a number is divisible by 4, we only need to check if its last two digits are divisible by 4. In this case, the last two digits of 1,493,824 are 24, which is divisible by 4. Thus, the remainder is $0$. | $0$ | competition-math | What is the remainder when 1,493,824 is divided by 4? |
The insurance plan costs $30*0.2=$6.
The pre-state tax total is $30+$6=$36.
State tax will be $36*0.5=$18.
Jon needs to pay $18+$36=$54 for his new toaster. | 54 | gsm8k | Buying a toaster requires an insurance plan that is 20% of the MSRP, plus a mandatory state tax rate of 50% after the insurance plan calculation. Jon chooses to buy a toaster that costs $30 at MSRP. What is the total he must pay? |
Stealing a family member's bank card number and going on a shopping spree is definitely not a pleasure to witmess because it is dishonest and unethical. | No | FLUTE | Consider the staetement "My 15 year old stole a family members bank card number and overdrawn the account by $500.". Based on this statement, is "What an absolute pleasure to witness my responsible 15 year old decided to steal my family member's bank card number and go on a shopping spree for $500" a true statement? Yes/no/unknown |
To throw a curve means to do something unexpected that surprises or confuses someone, but in this context the speaker is not doing anything unexpected | No | FLUTE | Given the statement "They mentioned the two job interviews, and I did not confuse them by explaining I'm not ready for employment.", is the statement "They mention the two job interviews, and I throw a curve by explaining I'm not ready for employment." is true?
- Yes
- No
- I don't know |
The two statements are contradictory because a heart of stone would be unemotional and a heart of gold would be compassionate. | No | FLUTE | Consider the staetement "She had a heart of gold.". Based on this statement, is "She had a heart of stone." a true statement? Yes/no/unknown |
My old printer printed $$13$$ pages in $$3$$ seconds or $$26$$ pages in $$6$$ seconds. My new printer prints $$21$$ pages in $$2$$ seconds or $$63$$ pages in $$6$$ seconds. The difference is $$63 - 26=37$$. | D | TAL-SCQ5K | My old printer printed $$13$$ pages in $$3$$ seconds. My new printer prints $$21$$ pages in $$2$$ seconds. In $$6$$ seconds my new printer printsmore pages than my old one could have.
A) $$8$$
B) $$16$$
C) $$27$$
D) $$37$$ |
From the angle addition formula,
\begin{align*}
\tan 75^\circ &= \tan (45^\circ + 30^\circ) \\
&= \frac{\tan 45^\circ + \tan 30^\circ}{1 - \tan 45^\circ \tan 30^\circ} \\
&= \frac{1 + \frac{1}{\sqrt{3}}}{1 - \frac{1}{\sqrt{3}}} \\
&= \frac{\sqrt{3} + 1}{\sqrt{3} - 1} \\
&= \frac{(\sqrt{3} + 1)(\sqrt{3} + 1)}{(\sqrt{3} - 1)(\sqrt{3} + 1)} \\
&= \frac{3 + 2 \sqrt{3} + 1}{2} \\
&= 2 + \sqrt{3}.
\end{align*} | $2 + \sqrt{3$ | competition-math | Compute $\tan 75^\circ.$ |
To cry wolf means to falsely raise an alarm, but in this sentence James Carson would raise an alarm when it is actually necessary. | No | FLUTE | Consider the staetement "He, James Carson, would become a character in a Farley Mowat novel, lost in the barrens, and never raise an alarm when it is necessary.". Based on this statement, is "He, James Carson, would become a character in a Farley Mowat novel, lost in the barrens, never cry wolf." a true statement? Yes/no/unknown |
To get in touch with someone means to establish communication with them, but in this sentence they would fail to communicate. | Yes | FLUTE | Consider the statement "We can fail to communicate with the glasgow police in five minutes.". Is the statement "We can get in touch with the glasgow police in five minutes." false? Yes/no/unknown |
Autopilot is used in vehicles. Vehicles are powered by engines. Engines rely on fossil fuels to operate. | Yes | strategyqa | Does autopilot rely on fossil fuels? |
For 3 batches of cookies, Gigi uses 3 * 2 = 6 cups of flour
The amount of flour remaining in the bag is 20 - 6 = 14 cups of flour
Since 1 batch uses 2 cups of flour, Gigi can make 14 / 2 = 7 more batches of cookies | 7 | gsm8k | Gigi is baking cookies. The recipe for 1 batch of cookies calls for 2 cups of flour. She bakes 3 batches of cookies. If her bag of flour contains 20 cups of flour, how many more batches of cookies could Gigi make in the future with the remaining amount of flour? |
work backwards | [4] | TAL-SCQ5K | Write each of the numbers 0,1,2,3,4,5,6 in the sqaures to make the addition correct. What digit will be in the grey square? pic
[1] $$2$$
[2] $$3$$
[3] $$4$$
[4] $$5$$
[5] $$6$$ |
解：$$48\div 2.5=19.2\approx 20$$（辆），由实际情况可知需要$$20$$辆。 答：至少需要$$20$$辆这样的大卡车。 故选：C。 | 3 | TAL-SCQ5K | 一辆大卡车一次可以装煤$$2.5$$吨，现在要一次性运走$$48$$吨煤，那么至少需要（ ）辆这样的大卡车。
1) $$18$$
2) $$19$$
3) $$20$$
4) $$21$$ |
From the angle addition formula, we can write
\begin{align*}
\sin x + \cos x &= \sqrt{2} \left( \frac{1}{\sqrt{2}} \sin x + \frac{1}{\sqrt{2}} \cos x \right) \\
&= \sqrt{2} \left( \cos \frac{\pi}{4} \sin x + \sin \frac{\pi}{4} \cos x \right) \\
&= \sqrt{2} \sin \left( x + \frac{\pi}{4} \right).
\end{align*}Thus, the graph of $y = \sin x + \cos x$ has period $2 \pi.$
The graph of $y = \sin x + \cos x$ is shown below:
[asy]import TrigMacros;
size(400);
real g(real x)
{
return sin(x) + cos(x);
}
draw(graph(g,-3*pi,3*pi,n=700,join=operator ..),red);
trig_axes(-3*pi,3*pi,-2,2,pi/2,1);
layer();
rm_trig_labels(-5, 5, 2);
[/asy] | $2 \pi$ | competition-math | What is the period of $y = \sin x + \cos x$? |
The higher up a food chain that humans eat, the greater the levels of toxic metals they take in. | a | quartz | Sarah ate a salad for dinner, Sarah's levels of toxic metals have
a. decreased.
b. increased or |
If Keaton climbed his ladder twenty times, he covered a length of 30*20 = 600 feet.
Reece's ladder, 4 feet shorter than Keaton's ladder, was 30-4 = 26 feet long.
If Reece climbed the ladder 15 times, he covered a length of 15*26 = 390 feet.
Keaton and Reece's total length covered while climbing the ladders is 390+600 = 990 feet.
Since one foot is equal to 12 inches, the total length they climbed the ladders in inches is 12*990 = 11880 inches. | 11880 | gsm8k | Keaton climbed a 30 feet ladder twenty times while working at the construction site. Reece, also working at the same site, climbed a ladder 4 feet shorter than Keaton's ladder 15 times. What's the total length of the ladders that both workers climbed in inches? |
The arithmetic mean must be between the other two numbers, so we find the middle quantity by putting the fractions in a comparable form. We have $\frac{7}{10}, \frac{4}{5}=\frac{8}{10}, \frac{3}{4}=\frac{7.5}{10}$. The middle quantity is $\frac{7.5}{10}$, so the arithmetic mean is $\frac34$. Our answer makes sense since $7.5$ is the arithmetic mean of $7$ and $8$. | $\frac34$ | competition-math | Of the numbers $\frac{7}{10}, \frac{4}{5}$ and $\frac{3}{4}$, which number is the arithmetic mean of the other two? |
The feeling of changing a disgustingly dirty baby diaperfor the first time should not be dream come true but rather horrifying. | No | FLUTE | Context: I changed my baby's diaper for the first time today and it was nasty.
Hypothesis: The feeling of changing my baby's diaper for the first time and having it be disgustingly dirty was a dream come true.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Losing friends after finishing college is a natural occurrence, so someone who claims that they aren't lonely at this point is not being truthful. | Yes | FLUTE | Context: I am just finishing my college degree, anb all of my friends have moved away.
Hypothesis: I don't feel lonely at all now that all my friends have moved away after I finish my college degree
Is the hypothesis incorrect? (Yes, no, or unknown)? |
The tank has 200*.8=160 gallons of water in it
That water weighs 160*8=1280 pounds
So in total it weighs 1280+80=1360 pounds | 1360 | gsm8k | John has a large water collection tank. The tank can hold 200 gallons. It weighs 80 pounds empty. A rainstorm fills it to 80% of capacity. If a gallon of water weighs 8 pounds, how much does it weigh now? |
John Muir frequently spent time exploring various places in nature. Spending time in nature increases your exposure to sunlight. Skin exposure to sunlight increases vitamin D levels in the body. | Yes | strategyqa | Would John Muir not likely have a vitamin D deficiency? |
If Julien swam for the whole week, then the total distance in meters that he covered is 50*7 = 350 meters
Sarah swam twice the distance covered by Julien, which is 2*50 = 100 meters
Sarah's total for the whole week is 100*7 = 700 meters
If Jamir swam 20 meters more than Sarah, he covered 100+20 = 120 meters
Jamir's total for the whole week is 120*7 = 840 meters
The combined distance for all of them is 840+700+350 = 1890 meters | 1890 | gsm8k | Jamir and his two friends Sarah and Julien, go to their school's swimming pool to swim. Jamir swims 20 more meters per day than Sarah, who swims twice the distance Julien swims. They go to the swimming pool the whole week, swimming the same distances as before. If Julien swam 50 meters, what's the combined distance for three of them for the whole week? |
Dubois has to pay $13,380 – $5,400 = $7,980 more.
He will pay that in $7,980 : $420 = 19 months. | 19 | gsm8k | Mr. Dubois buys a new car for $13,380. He pays $5,400 and pays the rest by giving $420 a month. In how many months will the car be fully paid for? |
He sent 2*12=24 roses per day
That means he sent 24*7=168 roses for the month | 168 | gsm8k | Tom decided to send his wife 2 dozen roses every day for the week. How many total roses did he send? |
People often get scared when they hear about other people getting shot because it makes them feel like it could happen to them too and they could be the next victim | Yes | FLUTE | Consider the staetement "I am terrified that someone got shot near my house the other day.". Based on this statement, is "I am scared that somebody was just shot near my house and that it could happen to me too" a true statement? Yes/no/unknown |
First find how long Nicky spent waiting for his number to be called: 4 * 20 minutes + 14 minutes = 94 minutes
Then add the time he spent waiting to take a number: 94 + 20 = 114 minutes | 114 | gsm8k | Nicky went to the DMV. He spent 20 minutes waiting to take a number, and quadruple that amount of time plus 14 minutes waiting for his number to be called. How long did he wait total? |
The farther the sound waves travel away from the source, the more spread out their energy becomes. | strong | quartz | Eric hears a sound from far away. If this is the first sound he heard, this sound is likely
- strong
- weak |
If there are more greenhouse gases in the atmosphere, more ultraviolet radiation will be trapped and the Earth will heat up. | increase | quartz | Billionaire Joey McMoneystuffs added 3 new jets to his already large fleet of personal aircraft. One day, he decided to have them race each other, burning excess fuel and adding greenhouse gases to the atmosphere. When the resulting ultraviolet radiation becomes trapped, the Earth's heat index will
- increase
- decrease |
To attack something means to criticize or condemn it, while to praise something means to express admiration or approval for it. | No | FLUTE | Given the statement "The Senator praised the administration in his speech on Friday.", is the statement "The Senator attacked the administration in his speech on Friday." is true?
- Yes
- No
- I don't know |
Let $p$ be the number of pie crusts, and let $f$ be the amount of flour per crust. Because the total amount of flour needs to remain constant, we can express the relationship between pie crusts as $p\cdot f = c$, where $c$ is a constant value.
Since we know that 30 pie crusts each use up $\frac16$ cup of flour, $30\left(\frac16\right)=c$ or $c=5$. When $p=20$, the equation becomes $20\cdot f=5$, or $f=\frac5{20}=\frac14$ | $\frac14$ | competition-math | Jessica works at a bakery, and every day she makes 30 pie crusts that each use up $\frac16$ cup of flour. One day, she decides that she instead wants to make 20 larger pie crusts using the same total amount of flour. How many cups of flour will go into each of the new crusts? Express your answer in simplest fractional form. |
Eating a lot of food can often make people feel sick, especially if they are eating from a buffet where the food is not always the highest quality | Yes | FLUTE | Given the statement "I was at a restaurant tonight and watched this man eat 5 plates of foods from the buffet.", is the statement "I watched this man eat 5 plates of food from the buffet and it made me feel sick" is true?
- Yes
- No
- I don't know |
To walk all over someone means to treat them very badly, but in this context she lets people treat her well and she reacts a lot | False | FLUTE | Context: "She let anyone treat her very well and they did and she reacted, a lot." Claim: "She let anyone walk all over her and they did and she didn't react, not even a little."
Considering the context, is the claim true, false, or unknown? |
$2$枚$$5$$角；$$1$$枚$$5$$角$$+2$$枚$$2$$角$$+1$$枚$$1$$角；$$1$$枚$$5$$角$$+1$$枚$$2$$角$$+3$$枚$$1$$角；$$1$$枚$$5$$角$$+5$$枚$$1$$角；$$5$$枚$$2$$角；$$4$$枚$$2$$角$$+2$$枚$$1$$角；$$3$$枚$$2$$角$$+4$$枚$$1$$角；一共是$$7$$种情况． | c | TAL-SCQ5K | 丽丽有$$1$$角、$$2$$角、$$5$$角的硬币各$$5$$枚，若她想购买$$1$$元钱的商品，可以有种付钱的方法（不找零）．
a) $$5$$
b) $$6$$
c) $$7$$
d) $$8$$ |
A wedding cake is usually tall and thin, so the simile is emphasizing how thin and tall the heels are. | Yes | FLUTE | Context: She was wearing sandals with thin soles and high heels.
Hypothesis: Her sandals had crepe-thin soles and heels like a wedding cake.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
因为$$11.195\times 17=190.315$$，$$11.295\times 17=192.015$$，所以$$17$$个自然数的和是$$191$$或$$192$$，$$191\div 17\approx 11.24$$，$$192\div 17\approx 11.29$$，故正确答案是$$11.24$$ 或$$11.29$$ ． | (d) | TAL-SCQ5K | 求$$17$$个自然数的平均数，结果保留两位小数，甲得到$$11.28$$，这个数百分位上的数字错了，求正确答案是~\uline{~~~~~~~~~~}~．
(a) $$11.24$$
(b) $$11.28$$
(c) $$11.29$$
(d) $$11.24$$ 或$$11.29$$ |
Water near shore generally has more dissolved nutrients than water farther from shore. | B | quartz | A scientist, near the shore, would expect to find _____ dissolved nutrients in the water than one mile away from the shore.
Options:
A: less
B: more |
Out of 100 attendees, 100 x 50/100 = 50 are women.
While 100 x 35/100 = 35 are men.
So there were a total of 50 + 35 = 85 men and women who attended the party.
Thus, 100 - 85 = 15 children attended the party. | 15 | gsm8k | One hundred people attended a party. Fifty percent of the attendees are women, thirty-five percent of them are men, and the rest are children. How many children attended the party? |
根据题意分析可知，四个角都插上一面小红旗，每边都插$$26$$面， 所以每一边有小红旗：$$26-1=25$$（面）， 因为是正方形，每边都有$$25$$面，那么一共插了：$$25\times4=100$$（面）红旗， 故答案为：$$\text{C}$$． | c | TAL-SCQ5K | 有一个正方形的操场，在它的外面一圈插上小红旗，四个角上都插一面小红旗，每边都插$$26$$面，一共插了面小红旗．
a. $$92$$
b. $$96$$
c. $$100$$
d. $$104$$ |
以两条定直线所成的角的两条角平分线所在的直线分别为$$x,y$$轴建立平面直角坐标系，设两条直线方程为$$y=kx$$和$$y=-kx$$，$$k\textgreater0$$． 点$$\left( x,y \right)$$到$$y=\pm kx$$的距离和为$$1$$，则$$\frac{\left\textbar{} y-kx \right\textbar+\left\textbar{} y+kx \right\textbar}{\sqrt{{{k}^{2}}+1}}=1$$． 轨迹由$$4$$条线段组成，构成一个矩形． | D | TAL-SCQ5K | 在平面中，到两条相交直线的距离之和为$$1$$的点的轨迹为．
A. 椭圆
B. 双曲线的一部分
C. 抛物线的一部分
D. 矩形 |
To stoop means to bend down or lower oneself, while to rise means to lift up or elevate oneself. | False | FLUTE | Context: "And the Spirit , rising skyward ,"
Hypothesis: And the Spirit , stooping earthward ,
Based on the context, is the hypothesis true, false, or unknown? |
When someone keeps getting disconnected from their internet it is often frustrating because of the inconsistency and inconvenience it causes | True | FLUTE | Context: "I keep getting disconnected from my internet"
Hypothesis: I am so frustrated with the inconsistency of my internet connection
Based on the context, is the hypothesis true, false, or unknown? |
Sesame Street started in 1969. Elmo first appeared on the show in 1980. | No | strategyqa | Was Elmo an original muppet character on Sesame Street? |
The Jackson 5 consisted of five members. A full game of rugby is played between 2 teams of 15 players each. | No | strategyqa | Could the Jackson 5 play a full game of rugby with each other? |
Smaller tributary glaciers, like tributary streams, flow into the main glacier in their own shallower U-shaped valleys. | b | quartz | If Milo is out exploring and he comes across two glaciers, each with their own u-shaped valley, will the smaller or larger glacier have a smaller u-shaped valley?
a: larger glacier
b: smaller glacier |
He has completed 125 pages + 16 pages = 141 pages of the book.
Rich has 372 pages - 141 pages = 231 pages left. | 231 | gsm8k | Rich is reading a 372-page book. He has already read 125 pages of the book. If he skipped the 16 pages of maps, how many more pages does he have left to read to finish the book? |
$$123123123$$ is divisible by $$3$$, since the sum of its digits is $18$ which is divisible by $3$. | B | TAL-SCQ5K | is a factor of $$123123123$$.
Options:
A) $$2$$
B) $$3$$
C) $$4$$
D) $$5$$ |
He buys them for 12*.75=$9
He sells them for 12*1.5=$18
So he makes 18-9=$9 per day
That means he makes 9*7=$63 per week | 63 | gsm8k | Bob orders a dozen muffins a day for $0.75 each and sells them for $1.5 each. How much profit does he make a week? |
Each of Oliver’s bags weighs 18 kg * 1/6 =3 kg.
Combined, both his bags weigh 3 kg * 2 = 6 kg. | 6 | gsm8k | Oliver has two bags of vegetables. Each bag weighs 1/6 as much as James’s bag, which weighs 18kg. What is the combined weight of both Oliver’s bags? |
Morphine is an opioid that is used to treat pain. HIV is a virus that has no known cure, but can be treated with anti-retroviral drugs. | No | strategyqa | Could morphine cure HIV? |
The green light of happiness is a metaphor for the goal of happiness that we strive for our entire lives. | Yes | FLUTE | Given the statement "Since the day we are born to till the moment we die, our lives' only aim is to fulfill this urge of being happy, even it is difficult.", is the statement "Our whole life we swim against the waves towards the green light of happiness." is true?
- Yes
- No
- I don't know |
If the ATM froze, it would mean that it stopped working and the person would not be able to get any money, whereas, if the ATM started, it would mean that it was working and the person would be able to get money. | No | FLUTE | Context: I wanted to get money, and the ATM started.
Hypothesis: I wanted to get money, but the ATM froze.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
We compute the powers of 5 modulo 1000: \begin{align*}
5^0&\equiv1\pmod{1000}\\
5^1&\equiv5\pmod{1000}\\
5^2&\equiv25\pmod{1000}\\
5^3&\equiv125\pmod{1000}\\
5^4&\equiv625\pmod{1000}\\
5^5&\equiv125\pmod{1000}.
\end{align*} This pattern repeats every two terms starting at the 4th term. In particular, when $n>2$, and $n$ is odd, \[5^n\equiv125\pmod{1000}.\] Therefore the rightmost digit of $5^{1993}$ is $125$. | $125$ | competition-math | What are the rightmost three digits of $5^{1993}$? |
The closer to the surface an aquifer is, the easier it is to get the water. | (1) | quartz | An aquifer near the surface will provide _____ access to its water than one further down.
(1) easier
(2) harder |
Samara = 25 + 467 + 79 = $571
2457 - 571 = $1886
Alberto spent $1886 more on his car. | 1886 | gsm8k | Alberto spent $2457 on a new engine for his car. Samara spent $25 on oil, $467 on tires and $79 on detailing for her car. How many more dollars did Alberto spend on his car? |
Because $-7<-2,$ we use the first case to determine that $f(-7) = 2(-7) + 9 = -5.$ | $-5$ | competition-math | Let \[f(x) =
\begin{cases}
2x + 9 &\text{if }x<-2, \\
5-2x&\text{if }x\ge -2.
\end{cases}
\]Find $f(-7).$ |
At six years old, with three times as many dogs as cars, Derek had 90/3 = 30 cars.
Ten years later, after buying 210 more cars, Derek has 210+30 = 240 cars.
Since the number of cars is twice as many as the number of dogs, Derek currently has 240/2 = 120 dogs | 120 | gsm8k | Derek was 6 years old when he had three times as many dogs as cars. Ten years later, after selling some of his dogs and buying 210 more cars, the number of cars became twice the number of dogs. How many dogs does Derek have now if he had 90 dogs when he was six years old? |
To commit daylight robbery is to charge an exorbitant price, but this sentence describes a reasonable price | No | FLUTE | Given the statement "Fifty dollars each is a reasonable price to charge!", what is the statement "Fifty dollars each is daylight robbery!" true?
- Yes
- No
- Unknown |
Ursula earns 8 x $8.50 = $68 a day.
In a month, she earns 20 x $68 = $1360.
Therefore, Ursula's annual salary is 12 x $1360 = $16,320 | 16320 | gsm8k | Ursula earns $8.50 an hour working in a restaurant. She works 8 hours a day. If she works 20 days a month, determine her annual salary. |
The farther apart you move your hands, the stronger the force of the rubber band pulling your hands together. | [2] | quartz | Alan has a rubber band on his hands. He pushes his hands together and the rubber bands force
Options:
[1] increases
[2] decreases |
Kitchens are often places where food is prepared so if it is dirty it can make people feel nauseous because they are worried about the food being contaminated | Yes | FLUTE | Context: I was at a friends house and he had the grossest kitchen I had ever seen!
Hypothesis: I was at my friend's house and the kitchen was so dirty that it made me feel sick
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
The savory soufflés need 8 eggs each and she wants to make 3 of these so she needs 8*3 = 24 eggs
The dessert soufflés need 6 eggs each and she wants to make 5 of these so she needs 6*5 = 30 eggs
For the dinner party she will need 24+30 = 54 eggs in total | 54 | gsm8k | Roberta wants to have a dinner party centered around soufflés. Each savory souffle calls for 8 eggs each and the dessert ones call for 6 eggs each. She wants to make 3 savory soufflés and 5 dessert soufflés for the party. How many eggs will she need? |
Nil | $$1023\frac{1023}{1024}$$ | TAL-SCQ5K | Calculate: $$1\frac{1}{1024}+2\frac{1}{512}+4\frac{1}{256}+\cdots 256\frac{1}{4}+512\frac{1}{2}=$$~\uline{~~~~~~~~~~}~．
Options:
* $$1023\frac{1}{1024}$$
* $$1023\frac{1023}{1024}$$
* $$1024$$
* $$1024\frac{1}{1024}$$
* $$1024\frac{1023}{1024}$$ |
She spends this long researching and editing her essay 45 min + 75 min = 120 min.
Converting the minutes to hours for researching and editing is 120 / 60 = 2 hours.
She spends this long writing the essay 6 x 30 min = 180 min.
Converting the minutes to hours for writing the essay is 180 / 60 = 3 hours.
The total hours Rachel spends completing the essay is 2 + 3 = 5 hours. | 5 | gsm8k | Rachel is writing an essay. She writes 1 page every 30 minutes. She spends 45 minutes researching the topic. She writes a total of 6 pages. Then she spends 75 minutes editing her essay. Altogether, how many hours did she spend completing the essay? |
There are 500/5= 100 four leaf clovers
There are 100/4= 25 purple four leaf clovers | 25 | gsm8k | In a field of 500 clovers, 20% have four leaves and one quarter of these are purple clovers. Assuming these proportions are exactly correct, how many clovers in the field are both purple and four-leaved? |
$\dfrac{5}{15}=\dfrac{1}{3}$. | b | TAL-SCQ5K | In an opaque bag, there are $5$ red balls, $5$ white balls, and $5$ yellow balls. The balls are the same except for their colours. Take out one ball from the bag. What is the probability that you take out a yellow ball?
a: $\dfrac{1}{2}$
b: $\dfrac{1}{3}$
c: $\dfrac{1}{4}$ |
From our similarity, we have that: \begin{align*}
\frac{DE}{AC} &= \frac{BE}{BC} \\
DE &= \frac{BE \cdot AC}{BC}\\
&= \frac{13\text{ cm} \cdot 12\text{ cm}}{20\text{ cm}} = 7.8\text{ cm}.
\end{align*} | $7.8$ | competition-math | $\triangle ABC\sim\triangle DBE$, $BC=20\text{ cm}.$ How many centimeters long is $DE$? Express your answer as a decimal to the nearest tenth. [asy]
draw((0,0)--(20,0)--(20,12)--cycle);
draw((13,0)--(13,7.8));
label("$B$",(0,0),SW);
label("$E$",(13,0),S);
label("$D$",(13,7.8),NW);
label("$A$",(20,12),NE);
label("$C$",(20,0),SE);
label("13",(6.5,0),S);
label("12",(20,6),E);
[/asy] |
Two hours means 2 * 60 = 120 minutes.
So in 2 hours, there are with 120 / 15 = 8 groups of 15 minutes.
So on average Xavier can score 8 * 2 = 16 goals. | 16 | gsm8k | Xavier plays football with his friends. During 15 minutes Xavier can score 2 goals on average. How many goals on average is Xavier able to score, when the match lasted for 2 hours? |
To be under the influence typically means to be intoxicated, but in this context the father was driving sober | No | FLUTE | Consider the statement "When she came back, I did tell her that her father had killed someone while driving sober and that he had been incarcerated.". Based on this "When she came back, I did tell her that her father had killed someone while driving under the influence and that he had been incarcerated." a true statement? Yes, no, or I don't know? |
A one-eyed buck in a barn fire would be panicking trying to save its life, not calm | Yes | FLUTE | Context: Yet here, right now, he was calm.
Hypothesis: Yet here, right now, he was like a one-eyed buck in a barn fire.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
To burn rubber means to accelerate the car quickly, but in this sentence Travis intended to go slow | False | FLUTE | Context: "Travis intended to accelerate the car slowly as he peeled away from the curb, but his foot wouldn't obey his command." Claim: "Travis intended to burn rubber as he peeled away from the curb, but his foot wouldn't obey his command."
Considering the context, is the claim true, false, or unknown? |
Seventeen minutes after $$13:45$$ is $$14:02$$. | $$14:02$$ | TAL-SCQ5K | Sam\textquotesingle s exam was meant to begin at $$13:45$$ but started $$17$$ minutes late. At what time did it begin?
* $$13:38$$
* $$13:56$$
* $$14:02$$
* $$14:06$$ |
Water flowing over a steeper slope moves faster and causes more erosion. | b | quartz | Mona is a scientist studying erosion at a university. She is observing a river. If she starts taking erosion measurements at the mouth of the river and moves up to the head of the river, what will she find happens as the slope gets steeper?
a: erosion decreases
b: erosion increases |
He printed 600*2=1200 pages
Each sheet of paper was 4*2=8 pages
So he used 1200/8=150 sheets of paper | 150 | gsm8k | James prints out 2 books. They are each 600 pages long. He prints out double-sided and 4 pages per side. How many sheets of paper does he use? |
Energy levels farther from the nucleus of an atom have more orbitals. | (b) | quartz | Dana is trying to see how far the energy levels are from the nucleus in an atom. Since the energy levels are very far from the nucleus, the atom has
(a) less orbitals
(b) more orbitals |
观察$$100$$和$$1$$之间的数，将$$\left( 99 - 98\right)$$、$$\left( 97 - 96 \right)$$、$$\left( 95 - 94 \right)$$、$$ \cdots $$、$$\left( 3 - 2 \right)$$进行组合（ 除去$${1}$$和$${100}$$后，奇数前面是加号，偶数前面是减号），所以一共有$$\left( 100 - 2 \right) \div 2 = 49$$个$$1$$，所以原式$$ = 100 + 1 + 49 = 150$$． | 2 | TAL-SCQ5K | $$100 + 99 - 98 + 97 - 96 + ~\cdots ~+ 3 - 2 + 1$$的结果是（ ~~）．
1. $$101$$
2. $$150$$
3. $$149$$
4. $$151$$ |
A lot of people don't have food to eat owing to the lack of money and in contrast, someone spending an amount of money as huge as 2000$ on something trivial like a bag displays privilege which should cause them to feel guilty instead of altruistic. | No | FLUTE | Given the statement "I just went for a shopping spree and bought a 2000 dollar bag", what is the statement "I feel so altruistic about spending 2000 dollars on a new bag when I know there are people in the world who don't even have food to eat." true?
- Yes
- No
- Unknown |
Carlos memorized 24/6=4 digits of pi.
Sam memorized 4+6=10 digits of pi. | 10 | gsm8k | Sam memorized six more digits of pi than Carlos memorized. Mina memorized six times as many digits of pi as Carlos memorized. If Mina memorized 24 digits of pi, how many digits did Sam memorize? |
To be up in the air means to be undecided or uncertain about something, and in this context the person is uncertain about the situation. | Yes | FLUTE | Context: I merely smiled and threw my hands to signify that I was unsure about the situation and that it was subject to change.
Hypothesis: I merely smiled and threw my hands up in the air.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
To metamorphose something is to change it completely, often into something that is very different. | Yes | FLUTE | Consider the staetement "Please retain all of my words.". Based on this statement, is "Don't metamorphose my words." a true statement? Yes/no/unknown |
40% of the marbles are of other colors because 100 - 20 - 40 = 40
The friend will on average get 2 other colored marbles because 5 x .4 = 2 | 2 | gsm8k | Percius has a collection of marbles. 40% of them are clear. 20% are black, and the remainder are all the other colors. A friend of his asks if he can take five marbles. On average, how many marbles of other colors will his friend end up getting? |
Meeting someone from Tinder and discovering that they look nothing like their pictures can be a very disheartening experience and so it is not reassuring at all. | No | FLUTE | Context: Hate it when I meet a Tinder date and she looks nothing like her pictures.
Hypothesis: I love it when I meet a Tinder date and she looks nothing like her pictures.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Alton earns $8 x 7 = $56 per week.
Therefore, his weekly profit after paying the rent is $56 - $20 = $36. | 36 | gsm8k | Alton owns a business. He is currently renting a space that costs $20 per week. If Alton earns $8 per day, how much is his total profit every week? |
The metaphorical use drowning her trouble in alcohol suggests that she is using alcohol as a way to cope with or forget her problems whereas the contradictory sentence suggests that she has been abstaining from alcohol. | Yes | FLUTE | Consider the statement "She has been living by avoiding alcohol.". Is the statement "She drowned her trouble in alcohol." false? Yes/no/unknown |
A Mack truck is a large, heavy vehicle, so the news hitting someone like that would be a very big impact, not a light one | No | FLUTE | Context: The news hit me lightly
Hypothesis: The news hit me like a Mack truck.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A stone cellar is a place where the temperature and humidity are both low, so the air inside the pipe is likely to be cool and musty. | Yes | FLUTE | Consider the statement "The air inside the pipe was cool and musty.". Based on this "The air within the pipe was like an old stone cellar on a humid day." a true statement? Yes, no, or I don't know? |
People who live in warm climates where they don't have to bundle up in the winter are lucky because the experience of bundling up is often very unpleasant. | False | FLUTE | Context: "I'm jealous of people who live in a warm climate all year long. Must be nice."
Hypothesis: Not at all envious of people who enjoy perfect warm climate where they don't have to go through the pain of bundling up in the winter
Based on the context, is the hypothesis true, false, or unknown? |
The speaker is worried that the other people might spill everything about him because he has something to hide, which is contradictory to the next statement that assures he is also convinced that they know nothing about him. | Yes | FLUTE | Given the statement "He was convinced they knew nothing about him.", is the statement "He was worried they might spill everything about him." wrong?
- Yes
- No
- Unknown |
To vent your spleen means to voice one's anger, so the entailment is to express anger about something for which only the speaker can be blamed. | True | FLUTE | Context: "To express your anger about something for which only you can be blamed?"
Hypothesis: To vent your spleen about something for which only you can be blamed?
Based on the context, is the hypothesis true, false, or unknown? |
The sum of the digits of $$1993$$ is $$1+9+9+3$$, or $$22$$. At some time in the future, the sum of the digits of a year will be $$33$$. Since $$9+9+9 = 27$$, this will \emph{first} occur in $$6999$$, the $$70\text{th}$$ century. | $$70\text{th}$$ | TAL-SCQ5K | The sum of the digits of $$1993$$ is $$1+9+9+3$$, or $$22$$. At some time in the future, the sum of the digits of a year will be $$33$$. This will \emph{first} occur in the century.
* $$21\text{st}$$
* $$60\text{th}$$
* $$70\text{th}$$
* $$80\text{th}$$ |
The average snow leopard weighs 72 pounds. The favorite food of snow leopards is an ibex. The average weight of an ibex is 150 pounds. | Yes | strategyqa | Can a snow leopard eat twice its own body weight? |
$$123\div 4$$ R $$3$$；$$234\div 4$$ R $$2$$；$$345\div 4$$ R $$1$$; Therefore, $$\left( 3+2+1 \right)\div 4$$ R $$2$$． | 3 | TAL-SCQ5K | $$123+234+345$$ divided by $$4$$ has a remainder of~\uline{~~~~~~~~~~}~．
1) $$0$$
2) $$1$$
3) $$2$$
4) $$3$$ |
Cement is a very heavy material, so saying someone is like a huge block of cement would imply that they are very heavy, not light | No | FLUTE | Given the statement "He was light.", what is the statement "He was like a block of cement." true?
- Yes
- No
- Unknown |
$$9.237\approx 9.24$$，$$9.2395\approx 9.240$$，$$9.2449\approx 9.245$$，$$9.244\approx 9.24$$． 故选$$\text{C}$$． | $$9.2449$$ | TAL-SCQ5K | 省略下列各数的最后一位数得到的近似数与$$9.24$$大小不同的是．
Options:
$$9.237$$
$$9.2395$$
$$9.2449$$
$$9.244$$ |
A perfectly painted porcelain doll is a work of art, and is meant to be looked at and admired. | True | FLUTE | Context: "That night she'd looked exquisite ." Claim: "That night she'd looked like a perfectly painted porcelain doll ."
Considering the context, is the claim true, false, or unknown? |
To miss the boat means to lose the chance or opportunity to do something, which is what the context is saying. | True | FLUTE | Context: "Sometimes you lose the chance or opportunity to do something." Claim: "Sometimes you miss the boat"
Considering the context, is the claim true, false, or unknown? |
Dante has 14 x 3 = 42 coconuts.
Therefore, Dante was left with 42 - 10 = 32 coconuts after he sold 10 of them. | 32 | gsm8k | Paolo has 14 coconuts, while Dante has thrice as many coconuts as Paolo. If Dante sold 10 of his coconuts, how many coconuts did he have left? |
He bought 10*6=60 pouches
It cost 12*100=1200 cents
So each pouch cost 1200/60=20 cents | 20 | gsm8k | James buys 10 boxes of Capri-sun. Each box has 6 pouches in it. If he paid $12 how many cents does each pouch cost? |