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There are 60 seconds per minute, so Jackie’s push-up routine takes 1 * 60 = 60 seconds.
Her breaks last 2 * 8 = 16 seconds.
She does push-ups for 60 - 16 = 44 seconds.
She can do a push-up in 10 / 5 = 2 seconds.
Therefore, Jackie can do 44 / 2 = 22 push-ups in one minute with breaks. | 22 | gsm8k | Jackie can do 5 push-ups in 10 seconds. How many push-ups can she do in one minute if she takes two 8-second breaks? |
The Jackson 5 was composed of: Jackie, Tito, Jermaine, Marlon and Michael. The Osmonds consisted of:Alan, Wayne, Merrill, Jay and Donny. | No | strategyqa | Did Jackson 5 members exceed number in The Osmonds? |
$7 - 1 = 6$ | [3] | TAL-SCQ5K | Cathy wants to cut a wooden stick. In how many places does she need to break a wooden stick in order to get $7$ pieces?
[1] $$4$$
[2] $$5$$
[3] $$6$$
[4] $$7$$
[5] $$8$$ |
The sequence $$\text{KANGAROOKANGAROOKANG}\cdots$$ repeats every $$8$$ letters. Since $$2017=8\times252+1$$, the $$2017\text{th}$$ letter in the sequence is the first of the repeating sequence and hence is $$\text{K}$$. | 1 | TAL-SCQ5K | In the sequence of letters $$\text{KANGAROOKANGAROOKANG}\cdots$$ the word $$\text{KANGAROO}$$ is repeated indefinitely. What is the $$2017\text{th}$$ letter in this sequence?
1) $$\text{K}$$
2) $$\text{N}$$
3) $$\text{G}$$
4) $$\text{R}$$
5) $$\text{O}$$ |
Most people would not enjoy having to clean up someone else's food that they threw on the floor and so that makes babysitting a painful task and being happy about it does not make sense. | Yes | FLUTE | Context: I was babysitting my cousin few days ago and she kept throwing her food on the floor.
Hypothesis: I was so happy when my cousin threw her food on the floor and it so made me want to babysit her again
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Mr. Curtis has 325 - 28 = 297 hens.
Out of the 297 hens, only 297 - 20 = 277 hens lay eggs. | 277 | gsm8k | Mr. Curtis has 325 chickens on his farm where 28 are roosters and the rest are hens. Twenty hens do not lay eggs while the rest of the hens do. How many egg-laying hens does Mr. Curtis have on his farm? |
The number of parrots that flew away after the noise is 7-2 = 5
The same number of crows (5) flew away leaving 1 crow so there were 5+1 = 6 crows to begin with
The total number of crows and parrots was 7+6 = 13 | 13 | gsm8k | Seven parrots and some crows are perched on a tree branch. There was a noise and the same number of parrots and crows flew away. If only 2 parrots and 1 crow are left on the tree branch now, how many birds were perched on the branch to begin with? |
He is $45 short because 100 x .45 = 45
He earned $55 off goldfish because 100 - 45 = 55
He makes $.5 profit per goldfish because .75 - .25 = .5
He sold 110 goldfish that week because 55 / .5 = 110 | 110 | gsm8k | The pet store can buy a goldfish for $.25 and sell it for $.75. The owner plans to use the profits from goldfish sales to buy a new tank, which costs $100. After one week, he is 45% short of the price. How many goldfish did he sell that week? |
Grad school can be tough and overwhelming and so someone feeling like they are on a cruise and handling things perfectly is unrealistic and speaker dropping out of grad school shows that they were not really handling things perfectly after all. | No | FLUTE | Consider the statement "I was really stressed out and grad school and had no choice but to drop out to keep my sanity. ". Based on this "I was handling things perfectly and grad school was making me feel like I was on a cruise so I dropped out to keep my sanity." a true statement? Yes, no, or I don't know? |
The number of paintings Philip will make after 30 days is 2 paints/day * 30 days = 60 paintings.
Then, the total number of his paintings will be 60 paintings + 20 paintings = 80 paintings. | 80 | gsm8k | Philip is a painter. He makes 2 paintings per day. If he already has 20 paintings, how many paintings in total will he have after 30 days? |
Eddie Murphy's father died when Eddie Murphy was 8 years old. Eddie Murphy's stand up career began when he was 15 years old. | No | strategyqa | Did Eddie Murphy's father see his first stand up show? |
From Danny, there are 3 * 10 = 30 watermelon slices
From his sister, there are 1 * 15 = 15 watermelon slices
There are a total of 30 + 15 = 45 watermelon slices | 45 | gsm8k | Danny brings 3 watermelons to his family picnic. He cuts each watermelon into 10 slices. His sister brings 1 watermelon to the family picnic, and she cuts the watermelon into 15 slices. How many watermelon slices are there in total at the picnic? |
Darla:6 books
Katie:6/2=3 books
Gary: 5(6+3)=45 books
6+3+45=54 books | 54 | gsm8k | Darla has 6 books in her locker. Katie has half as many books as Darla, and Gary has 5 times the number of books that Darla and Katie have combined. How many books do the three have total? |
To be in dutch means to be in trouble or disfavor, but this context states that Adie is not in trouble. | No | FLUTE | Consider the staetement "Adie's not in trouble.". Based on this statement, is "Adie's in dutch." a true statement? Yes/no/unknown |
最大的角为$$180\div (2+3+5)\times 5=90$$（度），是直角三角形． 故选$$\text{B}$$． | (B) | TAL-SCQ5K | 一个三角形的三个内角角度之比为$$2:3:5$$，这是一个 ．
(A) 锐角三角形
(B) 直角三角形
(C) 钝角三角形
(D) 等腰三角形 |
US brand Nice creates a number of products including honey. The Western honey bee can be found on every continent except Antarctica. The Western honey bee is the most common pollinator in US, making it the most important bee to domestic agriculture. | Yes | strategyqa | Does US brand Nice depend on Western honey bee? |
To give and take means to compromise or concede, and in this sentence it is being used to authenticate the creation by exchanging ideas. | Yes | FLUTE | Context: I wanted her to participate in the creation, authenticating it by exchanging ideas and compromising.
Hypothesis: I wanted her to participate in the creation, authenticating it by give and take.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Grad school is often a very stressful time for people and if it starts to feel like it is making someone go crazy then it is probably a good idea for that person to drop out and take care of their mental health | True | FLUTE | Context: "I was really stressed out and grad school and had no choice but to drop out to keep my sanity. " Claim: "I was totally stressed out and grad school was making me feel like I was going crazy so I dropped out to keep my sanity"
Considering the context, is the claim true, false, or unknown? |
To be cut short means to be ended abruptly and unexpectedly, which is what happened to her voice in this sentence. | True | FLUTE | Context: "He heard her voice twisting with a soft cry of terror before it was abruptly stopped."
Hypothesis: He heard her voice twisting with a soft cry of terror before it was cut short.
Based on the context, is the hypothesis true, false, or unknown? |
The length of the chalkboard is 2 x the width of 3 feet = 6 feet.
We can calculate area by multiplying the width and the length, so 3 feet x 6 feet = 18 feet. | 18 | gsm8k | Mark made a chalkboard that is 3 feet wide. It is 2 times as long as it is wide. What is the area of the chalkboard? |
It is very unprofessional to send an email complaining about a coworker's attitude to the coworker themselves and so if someone were to do this they would likely feel embarrassed and ashamed | No | FLUTE | Given the statement "I wanted to dig myself in a hole when I accidentally sent an email to a coworker saying that I was frustrated with her attitude.", is the statement "I felt mortified when I accidentally sent an email to my coworker telling her how frustrated I was with her attitude" wrong?
- Yes
- No
- Unknown |
We have \[\frac{\phantom{o}\frac1y\phantom{o}}{\frac1x} = \frac{1}{y} \cdot \frac{x}{1} = \frac{x}{y} = \frac{2{3}}.\] | $\frac{2$ | competition-math | If $x=2$ and $y=3$, express the value of the following as a common fraction: $$
\frac
{~\frac{1}{y}~}
{\frac{1}{x}}
$$ |
$$238=2\times 7\times 17$$，如果两个小于等于$$200$$的整数的乘积为$$238$$，那么只有可能为$$2\times 119$$、$$7\times 34$$、$$14\times 17$$，那么$$(2,119)$$、$$(7,34)$$、$$(14,17)$$这三组数中至少要有一组全取，至少要取出$$200-6+3+1=198$$（个）． | (e) | TAL-SCQ5K | 在$$1$$到$$200$$这$$200$$个自然数中任意选数，至少要选出~\uline{~~~~~~~~~~}~个才能确保其中必有$$2$$个数的乘积等于$$238$$.
Options:
(a) $$3$$
(b) $$5$$
(c) $$6$$
(d) $$100$$
(e) $$198$$
(f) $$199$$
(g) $$235$$
(h) $$237$$ |
根据题意分析可知，求一个数的几分之几，用乘法所以甲乙两数之间的关系式为： 甲$$\times \frac{2}{3}=$$乙$$\times \frac{6}{7}$$， 则甲$$:$$乙$$=\frac{6}{7}:\frac{2}{3}$$ $$=\frac{6}{7}\times \frac{3}{2}$$ $$=\frac{9}{7}$$ $$=9:7$$． 故选$$\text{B}$$． | $$9:7$$ | TAL-SCQ5K | 甲、乙都是非零的自然数，已知甲的$$\frac{2}{3}$$等于乙的$$\frac{6}{7}$$，则甲$$:$$乙$$=$$．
$$7:9$$
$$9:7$$
$$1:7$$
$$7:1$$ |
$$990$$的因数有：$$1$$；$$990$$；$$2$$；$$495$$；$$3$$；$$330$$；$$5$$；$$198$$；$$6$$；$$165$$；$$9$$；$$110$$；$$10$$；$$99$$；$$11$$；$$90$$；$$15$$；$$66$$；$$18$$；$$55$$；$$22$$；$$45$$；$$30$$；$$33$$，一共$$24$$个， 平均数为：$$(1+990+2+495+3+330+5+198+6+165+9+110+10+99+11+90+15+66+18+55+22+45+30+33)\div 24$$ $$=2808\div 24$$ $$=117$$， 故选答案$$\text{C}$$． | c | TAL-SCQ5K | $$990$$有很多因数，这些因数的平均数是．
a) $$110$$
b) $$115$$
c) $$117$$
d) $$120$$ |
With a higher concentration of hydrogen ions, a solution is more acidic but has a lower pH. | 2 | quartz | If you found something with many hydrogen ions it would be
1. basic
2. acidic |
The largest common factor of $9x^2$ and $3x$ is $3x$. We factor $3x$ out of each term to get\begin{align*}
9x^2+3x &= 3x\cdot 3x + 3x \cdot 1\\
&= 3x(3x+1).
\end{align*} | $3x(3x+1)$ | competition-math | Completely factor the following expression: $9x^2+3x$. |
At higher concentrations, particles of reactants are crowded closer together, so they are more likely to collide and react. | [B] | quartz | Ian sees an object with many colliding particles, and he compares it to another object with few colliding particles. Which is true about the objects?
[A] the object with many colliding particles has a lower concentration of particles
[B] the object with many colliding particles has a higher concentration of particles |
Robbing innocent people is not a good thing to do and so someone who does it cannot be considered a good person. | False | FLUTE | Context: "I rob teenagers outside college to get money for drugs because I am a drug addict."
Hypothesis: I'm such a good person because I rob innocent teenagers who are just trying to get an education, in order to get money for my drugs.
Based on the context, is the hypothesis true, false, or unknown? |
Carrie drove 135 + 124 = 259 miles on the second day
Carrie drove 135 + 259 + 159 + 189 = 742 miles for the whole trip.
Carries charged her phone 742 / 106 = 7 times. | 7 | gsm8k | On a four-day trip, Carrie drove 135 miles the first day, 124 miles more the second day, 159 miles the third day, and 189 miles the fourth day. If she had to charge her phone every 106 miles, how many times did she charge her phone for the whole trip? |
单双数加减的性质是：单数个单数和为单，双数个单数和为双． 甲：$$9+9+9+1+7=35$$，正确． 乙：$$9+9+9+1+1+7=36$$，正确． 丙：三个单数的和为单数，结果$$24$$为双数，错误． 丁：$$7+7+7+0=21$$，正确． | c | TAL-SCQ5K | 有一种靶子，上面有$$1$$环、$$3$$环、$$5$$环、$$7$$环和$$9$$环表示射中的环数． 甲说：``我打了$$5$$枪，每枪都中靶，共中了$$35$$环．'' 乙说：``我打了$$6$$枪，每枪都中靶，共中了$$36$$环．'' 丙说：``我打了$$3$$枪，每枪都中靶，共中了$$24$$环．'' 丁说：``我打了$$4$$枪，只有$$1$$枪没中靶，共中了$$21$$环．'' 已知他们四人中，只有一人说了假话．那么说假话的是．
a: 甲
b: 乙
c: 丙
d: 丁 |
Among $64, 154$\ldots~the smallest possible $$N$$ that satisfies the two conditions is $$64$$, and $$64 \div 11\rm R9$$. | [5] | TAL-SCQ5K | $$N$$ is a two$$-$$digit number. When $$N$$ is divided by $$9$$, the remainder is $$1$$. When $$N$$ is divided by $$10$$, the remainder is $$4$$. What is the remainder when $$N$$ is divided by $$11$$? (Adapted from $$2016$$ AMC $$8$$ Problem, Question \#$$5$$)
Options:
[1] $$1$$
[2] $$3$$
[3] $$5$$
[4] $$7$$
[5] $$9$$ |
There are $12$ different combinations. The product of two numbers is greater than or equal to $10$ will be $2\times5$ and $2\times6$. Thus, the probability is $\frac 2{12}$ = $\frac 16$. | [b] | TAL-SCQ5K | Two tiles numbered $1$ and $2$ are turned face down, respectively. One tile is turned up at random, and throw a die to get a number from $1$ to $6$. What is the probability that the product of the numbers on the tile and the die is greater than or equal to $10$?
[a] $\frac {1}{2}$
[b] $\frac {1}{6}$
[c] $\frac {1}{3}$
[d] $\frac {1}{4}$
[e] $\frac {1}{12}$ |
There are twice as many zebra enclosures, so there must be 4 tiger enclosures * 2 = 8 zebra enclosures.
This means there are 8 zebra enclosures * 3 = 24 giraffe enclosures.
In the tiger enclosures, there are 4 tiger enclosures * 4 = 16 tigers.
In the zebra enclosures, there are 8 zebra enclosures * 10 zebras = 80 zebras.
In the giraffe enclosures, there are 24 giraffe enclosures * 2 giraffes = 48 giraffes.
So in total, there are 16 tigers + 80 zebras + 48 giraffes = 144 animals in the zoo. | 144 | gsm8k | A zoo is arranging the layout of its animal enclosures. There are 4 tiger enclosures in a row and behind each of these are 2 zebra enclosures. There are three times as many giraffe enclosures as zebra enclosures scattered around the zoo. The tiger enclosures hold 4 tigers, the zebra enclosures hold 10 zebras and the giraffe enclosures hold 2 giraffes. If these are the only animals in the zoo, how many animals are in the zoo? |
The triangle is shown below:
[asy]
pair A,B,C;
A = (0,0);
B = (6,0);
C = (0,8);
draw(A--B--C--A);
draw(rightanglemark(B,A,C,10));
label("$A$",A,SW);
label("$B$",B,SE);
label("$C$",C,N);
label("$10$",(B+C)/2,NE);
label("$6$",B/2,S);
[/asy]
The Pythagorean Theorem gives us $AC = \sqrt{BC^2 - AB^2} = \sqrt{100 - 36} = \sqrt{64}=8$, so $\cos C = \frac{AC}{BC} = \frac{8}{10} = \frac45$. | $\frac45$ | competition-math | In right triangle $ABC$ with $\angle A = 90^\circ$, we have $AB = 6$ and $BC = 10$. Find $\cos C$. |
Eustace’s current age must be 39 years old – 3 years = 36 years old.
So Milford’s current age must be 36 years old / 2 = 18 years old.
So in 3 years, Milford will be 18 years old + 3 years = 21 years old. | 21 | gsm8k | Eustace is twice as old as Milford. In 3 years, he will be 39. How old will Milford be? |
The band played 5 + 7 = 12 songs in their first two sets.
They have 30 - 12 = 18 songs left for the third set, fourth set and encore.
Since they played 2 songs in the encore, they have 18 - 2 = 16 songs to play on the third and fourth sets
They will play 16 / 2 = 8 songs on average over the third and fourth sets. | 8 | gsm8k | The school band has 30 songs in their repertoire. The band played 5 songs in their first set and 7 in their second set. The band will play 2 songs for their encore. Assuming the band plays through their entire repertoire, how many songs will they play on average in the third and fourth sets? |
People with heart failure have to limit their sodium intake. Ramen is notorious for having incredibly high sodium levels. | Yes | strategyqa | Would ramen be bad for someone with heart failure? |
She caught 8 pounds of catfish because 4 x 2 = 8
She caught 4.5 pounds of catfish because 3 x 1.5 = 4.5
She caught 7.5 pounds of bluegill because 5 x 2.5 = 12.5
She caught 20 pounds of fish because 8 + 4.5 + 12.5 = 25 | 25 | gsm8k | Emily goes fishing and has a very busy day. She catches 4 trout, 3 catfish, and 5 bluegills. If the trout weigh 2 pounds each, the catfish weigh 1.5 pounds each, and the bluegills weigh 2.5 pounds each, how many total pounds of fish did she catch? |
The Jewish holiday Passover involves a traditional ceremonial dinner. During the ceremony, it is customary to fill an extra cup with wine and put it at the center of the table. The door is then opened so the prophet Elijah can visit. | Yes | strategyqa | Is Elijah part of a Jewish holiday? |
If the plant is currently 20 feet tall, it will have grown by 80-20=60 feet after a year.
Since a year has 12 months, and the tree grows at the same rate every month, the tree grows at 60/12=5 feet every month. | 5 | gsm8k | At its current growth rate, a certain plant will be 80 feet tall after a year. If the plant grows at the same rate every month and is currently 20 feet tall, what's its monthly growth rate in feet? |
根据丁说的可得``丁＞乙''，根据丙说的可得``戊＞丙''，根据甲说的可得``丙＞甲＞丁''，综合可得``戊＞丙＞甲＞丁＞乙''． | 4 | TAL-SCQ5K | 甲、乙、丙、丁和戊参加$$100$$米比赛，比赛结束后丁说：``我比乙跑得快．''丙说：``戊在我前面冲过终点线．''甲说：``我的名次排在丁的前面，丙的后面．''请根据他们的话排出名次：（~~~~~ ）．
Options:
1. 戊＞丙＞丁＞甲＞乙
2. 甲＞乙＞丙＞丁＞戊
3. 乙＞丁＞甲＞丙＞戊
4. 戊＞丙＞甲＞丁＞乙 |
All the students will present their projects in 32 * 5 = 160 minutes.
It will take 160 / 40 = 4 periods for all the students to present their projects. | 4 | gsm8k | A class has 32 students and they all need to present their projects. Every period is 40 minutes long. How many periods will it take for every student to present their project if they have 5 minutes to do so? |
$$7\times {{10}^{9}}\times 5\times {{10}^{2}}=3.5\times {{10}^{12}}$$ | C | TAL-SCQ5K | A computer can do $$7\times {{10}^{9}}$$ operations per second. Then, it can do~\uline{~~~~~~~~~~}~operations in $$5\times {{10}^{2}}$$ seconds.
A. $$35\times {{10}^{10}}$$
B. $$3.5\times {{10}^{11}}$$
C. $$3.5\times {{10}^{12}}$$
D. $$3.5\times {{10}^{19}}$$
E. $$3.5\times {{10}^{18}}$$ |
It is generally considered to be bad etiquette to let a dog poop in the middle of the street and so having neighbors who always do that is not amazing at all. | No | FLUTE | Consider the statement "It's so gross that my downstairs neighbors always lets their dog poop in the middle of the street.". Based on this "It's truly amazing how my downstairs neighbors always let their dog poop in the middle of the street" a true statement? Yes, no, or I don't know? |
$$f(-x) = |g((-x)^3)| = |g(-x^3)|$$Since $g$ is odd, $g(-x) = -g(x)$. Then,
$$f(-x) = |-g(x^3)| = |g(x^3)| = f(x).$$Hence, $f$ is $\text{even}$. | $\text{even$ | competition-math | Let $f(x) = |g(x^3)|$. If $g$ is an odd function, is $f$ odd, even, or neither?
Enter "odd", "even", or "neither". |
He works out for 1.5*60=90 minutes per class
So he burns 90*7=630 calories per class
That means he burns 630*3=1890 calories per week | 1890 | gsm8k | James takes a spinning class 3 times a week. He works out for 1.5 hours each class and burns 7 calories per minute. How many calories does he burn per week? |
A private beach is a place where there are very few people, so the simile is saying that the hallway was empty. | True | FLUTE | Context: "The hallway was not crowded at all"
Hypothesis: The hallway was as crowded as a private beach
Based on the context, is the hypothesis true, false, or unknown? |
$$23\times 2023+(1+2+\cdot \cdot \cdot +2023)m$$除以$$14$$的余数， $$23\div 14$$余$$9$$， $$23\div 14$$余$$7$$， $$1+2+\cdot \cdot \cdot +2023=2023\times 1012$$刚好是$$14$$的倍数， 那么只用看$$23\times 2023$$除以$$14$$的余数是$$7$$． | $$7$$ | TAL-SCQ5K | 给出一列数：$$23+m$$，$$23+2m$$，$$23+3m$$，$$\cdot \cdot \cdot $$，$$23+2023m$$，这$$2023$$个数的和除以$$14$$的余数是（其中$$m$$为正整数）．
$$9$$
$$7$$
$$5$$
$$3$$ |
To make it snappy means to do it quickly, so the entailment is telling the person to hurry up. | Yes | FLUTE | Context: Then go down to the stores, and do it quickly!
Hypothesis: Then go down to the stores, and make it snappy!
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
因为$$120$$的因数有：$$1$$、$$2$$、$$3$$、$$4$$、$$5$$、$$6$$、$$8$$、$$10$$、$$12$$、$$15$$、$$20$$、$$24$$、$$30$$、$$40$$、$$60$$、$$120$$，所以一共有$$16$$个因数． 故选$$\text{D}$$． | $$16$$ | TAL-SCQ5K | $$120$$有个因数．
$$20$$
$$18$$
$$24$$
$$16$$ |
To touch a nerve means to evoke a strong emotional reaction, but in this context she has never said anything that made him emotional | No | FLUTE | Context: I am sorry, have I never said anything that made you feel emotional?
Hypothesis: Oh I'm sorry, did I touch a nerve?”
Given this context, is the hypothesis true (Yes/No/I don't know)? |
$$\frac{1}{7}=0.\overline{142857}$$, it is a decimal which repeats in cycles of $6$. Every $6$\textsuperscript{th}~digit is $7$. The $1986$\textsuperscript{th} digit is $7$. | (D) | TAL-SCQ5K | The $1986^{}\text{th}$ digit at the right of the decimal point in the decimal expression of $\dfrac{1}{7}$ is~\uline{~~~~~~~~~~}~.
Options:
(A) $$2$$
(B) $$4$$
(C) $$5$$
(D) $$7$$ |
More pollutants mean poorer air quality. | cleaner | quartz | When a river gets emptied of a lot of waste chemicals it becomes
Options:
* cleaner
* dirtier |
First find the total number of starfish arms: 7 starfish * 5 arms/starfish = 35 arms
Then add the number of seastar arms to find the total number of arms: 35 arms + 14 arms = 49 arms | 49 | gsm8k | Carly collected 7 starfish with 5 arms each and one seastar with 14 arms. How many arms do the animals she collected have in total? |
A relationship should involve spending time with each other and not avoiding each other so not seeing someone for two days cannot make them feel valued. | No | FLUTE | Context: I was feeling pretty much alone when I didn't see my boyfriend for two days.
Hypothesis: I felt really valued when I didn't see my boyfriend for two days.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Abstract art is a form of modern art that does not reflect images of our every day world. Abstract art relies on exaggerated colors and shapes. Photography is an art that uses cameras to take pictures of events unfolding in the real world. | No | strategyqa | Can photography be considered abstract art? |
Kelly gives Bingley 16 / 4 = 4 bracelets
Bingley has 5 + 4 = 9 bracelets
Bingley gives his little sister 9 / 3 = 3 bracelets
In the end, Bingley has 9 - 3 = 6 bracelets remaining | 6 | gsm8k | Bingley has 5 bracelets. Kelly gives Bingley a fourth of her 16 bracelets. Then Bingley gives a third of his bracelets to his little sister. How many bracelets does Bingley have remaining? |
Richard III was King of England and Lord of Ireland from 1483-1485. Adelaide is a city in South Australia. | No | strategyqa | Was Richard III ruler of Adelaide? |
$\frac{8\text{dollars}}{15\text{ounces}}$ $\frac{12\text{dollars}}{20\text{ounces}}$ | 1 | TAL-SCQ5K | Chloe is buying candies at a grocery store. She can either spend $8$ dollars on a $15$ ounce bag or $12$ dollars on a $20$ ounce bag. Which is a better buy?
1: $15$ ounce bag
2: $20$ ounce bag |
Being stuck in an elevator is a very scary experience and definitely not something that would be considered fun by anyone. | No | FLUTE | Consider the statement "I got stuck in an elevator recently and was so scared that I would die in there.". Based on this "I was really excited when I got stuck in the elevator because there is nothing more fun than panicking and thinking of death." a true statement? Yes, no, or I don't know? |
They made 100/.25=400 tacos
Each taco gives a profit of 2-1.5=$.5
So they made a profit of 400*.5=$200 | 200 | gsm8k | A taco truck buys 100 pounds of beef. They use .25 pounds of beef per taco. If they sell each taco for $2 and each taco takes $1.5 to make how much profit did they make if they used all the beef? |
If Grace has 30 pastries, then both Phoebe and Calvin each have 30-5 = 25 pastries.
The total number of pastries that Phoebe and Calvin have is 25+25 = 50
Together, Phoebe, Calvin, and Grace have 50+30 = 80 pastries.
Since Calvin and Phoebe each have 8 more pastries than Frank, then Frank has 25-8 = 17 pastries.
Altogether, the four have 17+80 = 97 pastries. | 97 | gsm8k | Calvin and Phoebe each have 8 more pastries than Frank but only five less than Grace. If Grace has 30 pastries, calculate the total number of pastries that the four have? |
Ham and pineapple is a pretty controversial pizza topping combination because many people believe that the two flavors do not go well together | No | FLUTE | Consider the statement "My brother ordered a pizza with ham and pineapple on it and it was so gross.". Is the statement "My brother's decision to order a pizza with ham and pineapple on it was pretty disgusting" false? Yes/no/unknown |
When milk becomes acidic, the water and fats separate from each other. When the water and fats separate in milk, it becomes clumpy and has a bad texture. Lemon is highly acidic. | No | strategyqa | Does Lemon enhance the flavor of milk? |
David was very angry when Paul invited his new girlfriend to dance and it looked like he was staring at Paul with daggers in his eyes. | True | FLUTE | Context: "David looked at Paul very angrily when Paul invited his new girlfriend to dance."
Hypothesis: David’s eyes were like daggers at Paul when Paul invited his new girlfriend to dance.
Based on the context, is the hypothesis true, false, or unknown? |
Oil and water are two objects that do not mix together well, but in this context the two objects are mixing perfectly | No | FLUTE | Given the statement "You guys are like a blend of two objects that mix together perfectly in a blender set on full blast.", is the statement "You guys are like oil and water in a blender set on full blast." is true?
- Yes
- No
- I don't know |
The prime factorization of 30 is $30=2\cdot3\cdot5$. A factor of 30 can have zero or one power of 2, zero or one power of 3, and zero or one power of 5. Thus, there are $2\cdot2\cdot2=8$ factors of 30. The factors are 1, 2, 3, 5, 6, 10, 15, and 30. | $8$ | competition-math | How many positive factors does 30 have? |
$$\frac{2\textbar x-2\textbar+1}{3}\textless{}1$$ $$2\left\textbar x-2\right\textbar+1\textless3$$ $$2\left\textbar x-2\right\textbar\textless2$$ $$1\left\textbar x-2\right\textbar\textless1$$ $$-1\textless x-2\textless1$$ $$1\textless x\textless3$$ | (3) | TAL-SCQ5K | If $$\frac{2\textbar x-2\textbar+1}{3}\textless{}1$$, the range of $x$ is~\uline{~~~~~~~~~~}~.
Options:
(1) $$-3\textless x\textless-1$$
(2) $$x\textgreater-1$$ or $$x\textless-3$$
(3) $$1\textless x\textless3$$
(4) $$x\textgreater3$$ or $$x\textless1$$ |
To bear fruit means to yield results, so in this sentence a significant response needs to be successful. | Yes | FLUTE | Consider the staetement "Once we commit to a significant response, it needs to be successful.". Based on this statement, is "Once we commit to a significant response, it needs to bear fruit." a true statement? Yes/no/unknown |
The product of the three integers is equivalent in modulo 5 to the product of the modulo 5 residues of the three integers. We multiply these residues to find the remainder: $$ 1 \cdot 2 \cdot 3 \equiv 6 \equiv 1 \pmod{5}. $$ | $1$ | competition-math | The remainders when three positive integers are divided by 5 are 1, 2, and 3. Find the remainder when their product is divided by 5. |
Flooding caused by rainstorms is often a huge inconvenience and can damage property so receiving water in one's house because of it is not something to be pleased about. | False | FLUTE | Context: "My house flooded with all the rain!" Claim: "I was pleased to see that my house got filled with water because of the crazy rainstorm!"
Considering the context, is the claim true, false, or unknown? |
He spends 2*$2=$4 per day
April has 30 days so he spends $4*30=$120 | 120 | gsm8k | Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April? |
When milk is non-homogenized, the cream will separate and rise to the top. Most store bought milk is homogenized. | No | strategyqa | Does store bought milk have cream at the top? |
C | c | TAL-SCQ5K | Calculate: $\frac{1}{1\times 7}+\frac{1}{7\times 13}+\frac{1}{13\times 19} + \cdots +\frac{1}{1207\times 1213}$
a: $\frac{1212}{1213}$
b: $\frac{303}{1213}$
c: $\frac{202}{1213}$
d: $\frac{1212}{6065}$
e: None of the above |
Leaving their house looking like they just crawled out of a dumpster is not a sign of excellent appearance owing to the fact that it is very unhygienic and gives a bad impression. | Yes | FLUTE | Consider the statement "My friend left the house in dirt.". Is the statement "My friend marveled everyone by her excellent appearance leaving the house looking like she just crawled out of a dumpster" false? Yes/no/unknown |
If they are to save every month for three years to reach the target amount, and each year has 12 months, they'll save for 12*3 = 36 months.
If the house's downpayment is $108000, the total amount they both save per month is $108000/36 = $3000 every month.
Since they share the monthly savings, each person will pay $3000/2= =$1500 | 1500 | gsm8k | It will take Richard and Sarah 3 years to save enough for a down payment on a house at their current rates. If the house's downpayment is $108000, calculate the amount each person saves per month if they share the monthly savings. |
To be gripped by something means to be held tightly or controlled by it, while to be unaffected by something means to remain unchanged or uninfluenced. | No | FLUTE | Consider the staetement "He was unaffected by the terrible illness but it still killed him.". Based on this statement, is "He was gripped with a terrible illness that killed him quickly." a true statement? Yes/no/unknown |
项数$$=\left( 2009-5 \right)\div 3+1=669$$ | (3) | TAL-SCQ5K | 一列有明显规律的数$$5$$，$$8$$，$$11$$，$$14$$，$$17$$，$$\cdots$$第（ ）个数为$$2009$$。
Options:
(1) $$667$$
(2) $$668$$
(3) $$669$$
(4) $$700$$ |
可能性；要想红色朝上次数最少，则$$1$$面涂红色，$$2$$面染黄色． | b | TAL-SCQ5K | 给正方体的六个面分别涂上红黄蓝三种颜色，任意抛$$30$$次，要想红色朝上次数最少，蓝色朝上次数最多，~\uline{~~~~~~~~~~}~面涂红色，~\uline{~~~~~~~~~~}~涂黄色．
Options:
a. $$2,2$$
b. $$1,2$$
c. $$1,3$$
d. $$2,3$$ |
Oil and water is an idiom that means two objects or elements that do not mix together readily, which is what the context is saying about the speaker and the other person they tried to work with. | Yes | FLUTE | Given the statement "We tried to work together but we're like two people who were incompatible and do not mix together readily..", what is the statement "We tried to work together but we're like oil and water." true?
- Yes
- No
- Unknown |
Death is typically seen as something that is close or near if it is knocking at the door, while going further away would suggest that it is getting further and further away. | No | FLUTE | Context: Death is going further away from the door.
Hypothesis: Death is knocking at the door.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A sauna is a hot room or space, typically used for relaxation, so the simile refers to how hot the room feels. | True | FLUTE | Context: "geez, it's hot"
Hypothesis: geez, it's like a sauna in here.
Based on the context, is the hypothesis true, false, or unknown? |
She harvests 16 cups of basil every week for 8 weeks for a total of 16*8 = 128 cups of basil
She needs 4 cups of basil to make 1 cup of pesto and she has 128 cups of basil so she can make 128/4 = 32 cups of pesto | 32 | gsm8k | Cheryl needs 4 cups of basil to make 1 cup of pesto. She can harvest 16 cups of basil from her farm every week for 8 weeks. How many cups of pesto will she be able to make? |
Dual-energy X-ray absorptiometry is typically used to diagnose and follow osteoporosis. Osteoporosis is a disease in which bone weakening increases the risk of a broken bone. Crabs are invertebrates. Invertebrates do not have bones. | No | strategyqa | Would dual-energy X-ray absorptiometry be useful if performed on a crab? |
Bigger atoms have more electrons. | 1 | quartz | Jan is taking a class where she is learning about atoms. She knows that atoms have electrons, and that atoms that are bigger have
1. more electrons
2. fewer electrons |
This problem illustrates how algebra can clarify arithmetic. Comparing these quantities directly is a chore. Instead, we note that the first and third choices are both of the form $\frac{n}{n-1}+\frac{n}{n+1}$ for $n=2006$ and $n=2007$. Rewriting this expression algebraically leads to \[ \frac{n(n+1)}{n^2-1}+\frac{n(n-1)}{n^2-1} = \frac{2n^2}{n^2-1} = 2 + \frac{2}{n^2-1}. \]In particular both $A$ and $C$ are larger than 2. It is easy to verify that choice $B$ is equal to 2, so it cannot be the answer. Finally, note that larger values of $n$ produce smaller results, implying that $\text{A}$ is the largest. (It is also possible to guess the answer by trying examples involving much smaller numbers.) | $\text{A$ | competition-math | Which of the following quantities is the largest? (Write $A$, $B$, or $C$.) \[ A.\ \ \frac{2006}{2005}+\frac{2006}{2007} \qquad B.\ \ \frac{2006}{2007}+\frac{2008}{2007} \qquad C.\ \ \frac{2007}{2006}+\frac{2007}{2008} \] |
Let $A = (0,7,10),$ $B = (-1,6,6),$ and $C = (-4,9,6).$ Then from the distance formula, $AB = 3 \sqrt{2},$ $AC = 6,$ and $BC = 3 \sqrt{2}.$ Note that
\[AB^2 + BC^2 = 18 + 18 = 36 = AC,\]so triangle $ABC$ is a right triangle, with a right angle at vertex $B.$ Hence, the area of the triangle is
\[\frac{1}{2} \cdot AB \cdot BC = \frac{1}{2} \cdot 3 \sqrt{2} \cdot 3 \sqrt{2} = 9.\] | $9$ | competition-math | Find the area of the triangle with vertices $(0,7,10),$ $(-1,6,6),$ and $(-4,9,6).$ |
Cassie needs to drink 8 * 12 = 96 ounces of water to drink 12 cups a day.
Thus, Cassie needs to refill her water bottle 96 / 16 = 6 times a day. | 6 | gsm8k | Cassie is an athletic person and tries to drink at least 12 cups of water a day to stay hydrated while being active. Her water bottle holds 16 ounces. There are 8 ounces of water in a cup. How many times does Cassie have to refill her water bottle a day to make sure she drinks 12 cups? |
Longer length resistors will offer more resistance than shorter resistors. | b | quartz | If Mona is building some resistors and she makes them longer, what happens to the resistance of them?
a) decreases
b) increases |
Weekends are generally a time when people get to relax and spend time with friends, so someone who has to work during that time frame would not be joyful. | No | FLUTE | Given the statement "My friends were looking towards spending time together this weekend but I have to work.", is the statement "I feel joyful that I have to work this weekend and can't spend time with my friends." is true?
- Yes
- No
- I don't know |
Interest rates going up often means that people will have to pay more money and so it is common for people to feel angry when this happens | True | FLUTE | Context: "My interest rate just went up on my credit card." Claim: "I'm so mad that my interest rate just went up on my credit card"
Considering the context, is the claim true, false, or unknown? |
Squaring the first few positive integers, we find that the first few perfect squares are 1, 4, 9, 16, 25, 36, 49, and 64. First we strike off the ones that are not even, leaving us with 4, 16, 36, and 64. Four is not divisible by 3, and 16 is not divisible by 3 since the sum of its digits, $1+6=7$, is not divisible by 3. However, the sum of the digits of 36 is $3+6=9$, so 36 is divisible by 3. Thus $36$ is the least perfect square divisible by both 2 and 3. | $36$ | competition-math | What is the smallest positive perfect square that is divisible by both 2 and 3? |
Let X be the money Frank had originally.
Frank spent 1/5*X on groceries.
Frank spent 1/4*(X-1/5*X) on a magazine.
Frank has X - 1/5*X - 1/4*(X-1/5*X) = $360 left in his wallet.
Multiplying through the parentheses, we get X - 1/5*X - 1/4*X + 1/20*X = $360.
Combining like terms, we get 12/20*X = $360.
Dividing both sides by 12/20, we get X = $600. | 600 | gsm8k | Frank spent 1/5 of his money to buy groceries. He then spent 1/4 of the remaining money to buy a magazine. If he had $360 left in his wallet, how much money did he have at first? |
The house cost 320,000*1.5=$480,000
So it is worth 480,000-320,000=$160,000 more than other houses
So the profit is 160,000-100,000=$60,000 more | 60,000 | gsm8k | The cost of building a certain house in an area is 100,000 more than the construction cost of each of the houses in the area. But it sells for 1.5 times as much as the other houses, which sell at $320,000 each. How much more profit is made by spending the extra money to build? |
Garnishes her lectures with jokes means she ends her lecture with a joke. | No | FLUTE | Context: She thinks its funny to end her lecture with a joke.
Hypothesis: She garnishes her lectures with joke.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
$8\times9\times10\div2=360$ $360-6=354$ | B | TAL-SCQ5K | Jam has some pieces of candy. He wants to share with some kids. If he shares the candy among $8$ kids on average, there will be $2$ pieces left. If he shares the candy among $9$ kids on average, there will be $3$ pieces left. If he shares the candy among $10$ kids on average, there will be $4$ pieces left. How many pieces of candy are there?
A. $321$
B. $354$
C. $720$
D. $360$
E. $240$ |
The idiom odd one out refers to someone who is different from everyone else in a group, which is what the context describes. | No | FLUTE | Consider the statement "There were lots of people on the rim who had no idea, but now that he lived in the blueline, he was the only one who was different. ". Is the statement "There were lots of people on the rim with no idea, but now he lived in the blueline, he was the odd one out." false? Yes/no/unknown |
The pupil automatically gets bigger or smaller to let more or less light in as needed. | (2) | quartz | If Jim's pupil gets smaller, what will happen to the amount of light that enters his eye?
(1) more light will enter
(2) less light will enter |
To get something for a song means to get it for a very low price, but in this sentence it would be for a very high price. | No | FLUTE | Given the statement "I'll get you the goya for a very expensive price.", what is the statement "I 'll get you the goya for a song. '" true?
- Yes
- No
- Unknown |