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They see 27 total birds because 9 +11 + 7 = 27
They see an average of 9 birds each because 27 / 3 = 9 | 9 | gsm8k | Marcus, Humphrey, and Darrel are bird watching. Marcus sees 7 birds, Humphrey sees 11 birds, and Darrel sees 9 birds. How many birds does each of them see on average? |
2 tattoos on each arm is a total of 2*2=4 tattoos.
3 tattoos on each leg is a total of 2*3=6 tattoos.
Thus, Jason has 4+6=10 tattoos.
Twice the number of tattoos that Jason has is 2*10=20 tattoos.
Adam has 3 more than twice the number Jason has, or 3+20=23 tattoos. | 23 | gsm8k | Adam has three more than twice as many tattoos as Jason has. If Jason has two tattoos on each of his arms and three tattoos on each of his legs, how many tattoos does Adam have? |
$$9$$个连续正整数的和总是可以被整除． 设$$9$$个数中的中间数为$$a$$，则这$$9$$个数可表示为：$$a-4$$，$$a-3$$，$$a-2$$，$$a-1$$，$$a$$，$$a+1$$，$$a+2$$，$$a+3$$，$$a+4$$， 所以和为：$$\left(a-4\right)+\left(a-3\right)+\left(a-2\right)+\left(a-1\right)+a+\left(a+1\right)+\left(a+2\right)+\left(a+3\right)$$ $$+\left(a+4\right)=9a$$，即不管$$a$$为什么数时，其和必能被$$9$$整除． 故选：$$\text{D}$$． | $$9$$ | TAL-SCQ5K | 九个连续的正整数的总和总是能被整除 The sum of nine consecutive positive integers is always divisible by．
* $$2$$
* $$5$$
* $$7$$
* $$9$$ |
In 5 years, Cori will be 3 + 5 = 8 years old.
In 5 years, Cori’s aunt will be 8 x 3 = 24 years old.
Today, her aunt is 24 - 5 = 19 years old. | 19 | gsm8k | Cori is 3 years old today. In 5 years, she will be one-third the age of her aunt. How old is her aunt today? |
\begin{align*}
\dbinom{25}{2} &= \dfrac{25!}{23!2!} \\
&= \dfrac{25\times 24}{2\times 1} \\
&= 25 \times \dfrac{24}{2} \\
&= 25 \times 12 \\
&= 300.
\end{align*} | $300$ | competition-math | Compute $\dbinom{25}{2}$. |
To take someone for a ride means to con, swindle, or deceive one, but the context describes the person being out of town without any contact, which makes the speaker not suspect that they are not being deceived. | No | FLUTE | Context: He now is out of town for 3 months with no contact, thus, I always had this sneaking suspicion that he is not deceiving us all.
Hypothesis: He now is out of town for 3 months with no contact, thus, I always had this sneaking suspicion that he is taking us all for a ride.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Cassy can pack 12 x 10 = 120 jars of jam in the 10 boxes.
She can also pack 10 x 30 = 300 jars of jam in the 30 boxes.
A total of 300 + 120 = 420 jars of jam can be packed in the boxes.
So, 500 - 420 = 80 jars of jam will be left unpacked. | 80 | gsm8k | Cassy packs 12 jars of jam in 10 boxes while she packs 10 jars of jam in 30 boxes. If she has 500 jars of jams, how many jars of jam will she have left when all the boxes are full? |
Multiply 3 miles per hour by 1.5 hours to find that Shari walks $4.5$ miles. | $4.5$ | competition-math | Shari walks at a constant rate of 3 miles per hour. After 1.5 hours, how many miles did she walk? Express your answer as a decimal to the nearest tenth. |
On Saturday, he threw the ball 20 times, and since the temperature was 50 degrees, he could throw only 20 yards, totaling 20*20 = 400 yards.
On Sunday, the temperature favored him, and he threw the ball twice the distance he could throw on Saturday, which is 2*20 = 40 yards.
If he threw the ball 30 times, he threw for 30*40 = 1200 yards.
In the two days, he threw 1200+400 = 1600 yards. | 1600 | gsm8k | Peyton Manning throws a football 20 yards when the temperature is 50 degrees Fahrenheit, but the ball moves twice as far when the temperature is 80 degrees Fahrenheit. Last Saturday, the temperature was 50 degrees Fahrenheit, and he threw the ball twenty times. On Sunday, the temperature rose to 80 degrees Fahrenheit, and he threw the ball 30 times. Calculate the total number of yards he threw the ball in the two days. |
If the poison is like skin-permeating, then it is not safe as it can infect a person | No | FLUTE | Consider the staetement "There is no longer any contact with the surface, and the radiation is safe.". Based on this statement, is "All contact with the surface has been lost, and the radiation topside is like skin-permeating poison." a true statement? Yes/no/unknown |
When a person exercises regularly, and is fit, the heart undergoes certain long-term adaptations. The heart muscle gets stronger, and expels more blood with each contraction. | (b) | quartz | If Bob stops exercising, his heart muscle should become
Options:
(a) stronger
(b) weaker |
An overbearing pizza with condescending toppings would be one that is large and overwhelming at the same time - unappetizing or off-putting, while a small pizza with welcoming topping mean one that is more manageable and less imposing while being inviting and enticing. | No | FLUTE | Context: Julia was an small pizza with welcoming toppings, and frankly, I was too hungry.
Hypothesis: Julia was an overbearing pizza with condescending toppings, and frankly, I was on a diet.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Crystalized means to be turned into a crystal, while rotten means to be decomposed or corrupted. | No | FLUTE | Context: The fuits are rotten and gone bad.
Hypothesis: The fruits are crystalized in eternity.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
Most parents are protective of their children and do not want them to wander off on their own in a supermarket, so seeing parents not monitoring their kids implies that the kids are in a dangerous situation. | No | FLUTE | Given the statement "I was angry in the supermarket this week to see parents not controlling their kids", what is the statement "I was happy to see parents not monitoring their kids in the supermarket this week" true?
- Yes
- No
- Unknown |
First, we need to determine the profit per book. To do this, we perform 20-5=15 dollars in profit per book.
Next, we divide the total sales by the profit per book, performing 120/15=8 books sold in total.
Since the books are sold 2 at a time, we divide the number sold by 2 to find the total number of people sold to, performing 8/2=4 people in total. | 4 | gsm8k | Tina is getting $20 for each book she sells. If she realizes a $120 profit on her sales, how many people have she sold the books to if each book costs $5 to make and every customer buys 2 at a time? |
Water near shore generally has more dissolved nutrients than water farther from shore. | (2) | quartz | Eric is swimming near shore. Tina is 100 meters out in the water. The water near _____ has fewer nutrients.
(1) Eric
(2) Tina |
To be larger than life is to be having an aura of greatness, but in this context Kade was not very impressive | False | FLUTE | Context: "When Kade was a star quarterback, he was not very impressive and less exciting than the average person." Claim: "When Kade was a star quarterback, he was larger than life."
Considering the context, is the claim true, false, or unknown? |
Since she buys one rug at $40 and sells it at $60, she makes a profit of $60-$40 = $20
If she bought 20 rugs at $40 and sold them at $60 each, she made a profit of 20*$20 = $400 | 400 | gsm8k | Mrs. Oaklyn buys handmade rugs at $40 each and sells them at $60 each. If she bought 20 rugs, calculate the profit she will make from selling the rugs. |
3 weeks translate to 3 * 7 days = 21 days.
To meet Dr. Juan’s recommendation would mean drinking 105/21 = 5 gallons daily.
This means that Flora must drink 5 -3 = 2 more gallons daily. | 2 | gsm8k | Flora has been experiencing frequent fractures. Dr. Juan has asked her to strengthen her bones by drinking 105 gallons of milk within 3 weeks. Flora thinks that drinking 3 gallons of milk daily will be enough, but her brother says she'll still need to drink more. To fulfill Dr. Juan’s requirement, how many more gallons must Flora drink daily? |
解：父子年龄差是：$$31-5=26$$（岁）， 爸爸的年龄是小军的$$3$$倍时， 小军的年龄是：$$26\div \left( 3-1 \right)$$ $$=26\div 2$$ $$=13$$（岁）， $$13-5=8$$（年）， 则再过$$8$$年，爸爸的年龄是小军的$$3$$倍。 故答案为：$$8$$。 | [3] | TAL-SCQ5K | 今年，小军$$5$$岁，爸爸$$31$$岁，再过（ ）年，爸爸的年龄是小军的$$3$$倍。
[1] $$6$$
[2] $$7$$
[3] $$8$$ |
For the number to be as small as possible, we need the number of digits to be as small as possible. For instance, $$111\cdots 1 (2022\textasciitilde1\text{s})$$ has a digit sum of $$2022$$, but it is a much larger number than $$333\cdots 3 (674\textasciitilde3\text{s})$$, which also has a digit sum of $$2022$$. Clearly, to reduce the number of digits in the number, we need to make as many as possible of the digits in the number equal to $$9$$. Now $$2022 \div9 = 224$$ remainder $$6$$, so the smallest positive integer with digit sum of $$2022$$ is $$699\cdots 9 (224\textasciitilde9\text{s})$$. Its last digit is $$9$$. | [e] | TAL-SCQ5K | What is the last digit of the smallest positive integer whose digits add to $$2022$$? ．
Options:
[a] $$5 $$
[b] $$6 $$
[c] $$ 7 $$
[d] $$8 $$
[e] $$9$$ |
He collects 3*4=12 crabs each time.
He thus collects 12*2=24 crabs a week.
So he makes 24*3=$72 a week. | 72 | gsm8k | John reels in 3 crab baskets a week. Each basket holds 4 crabs. He collects crabs twice a week. Each crab sells for $3. How much money does he make? |
Maddie watches a total of 8*44=352 minutes of the TV show during the week.
On Friday, she watches 2*44=88 minutes
On Monday, Thursday, and Friday, she watches 138+21+88 = 247 minutes.
Thus, on the weekend she watches 352-247 = 105 minutes of the TV show. | 105 | gsm8k | Maddie watches 8 episodes of a TV show this week. Each episode is about 44 minutes long. If she watches 138 minutes of the show on Monday. She does not watch any TV on Tuesday and Wednesday. On Thursday, she watches 21 minutes. On Friday, she watches 2 episodes. How many more minutes did she watch over the weekend? |
Triangle $ABC$ has base $AB$ of length $25\text{ cm}$ and height $AC$ of length $20\text{ cm}.$ Therefore, the area of triangle $ABC$ is \begin{align*}
\frac{1}{2}bh &= \frac{1}{2}(25 \mbox{ cm})(20 \mbox{ cm}) \\
&= \frac{1}{2}(500 \mbox{ cm}^2) \\
&= 250 \mbox{ cm}^2.
\end{align*} | $250$ | competition-math | In the diagram, $AB = 25 \mbox{ cm},$ $AC = 20 \mbox{ cm},$ and $\angle A = 90^\circ.$ What is the area of triangle $ABC?$
[asy]
draw((0,0)--(25,0)--(0,20)--cycle,black+linewidth(1));
draw((0,0)--(1,0)--(1,1)--(0,1)--cycle,black+linewidth(1));
label("$A$",(0,0),SW);
label("$B$",(25,0),SE);
label("$C$",(0,20),NW);
[/asy] |
By the Law of Cosines, the cosine of one of the angles is
\[\frac{2^2 + 2^2 - (\sqrt{6} - \sqrt{2})^2}{2 \cdot 2 \cdot 2} = \frac{4 \sqrt{3}}{8} = \frac{\sqrt{3}}{2},\]so this angle is $30^\circ.$ The other two angles must be equal, so they are $75^\circ, 75^\circ.$ | $75^\circ, 75^\circ$ | competition-math | The side of a triangle are 2, 2, and $\sqrt{6} - \sqrt{2}.$ Enter the angles of the triangle in degrees, separated by commas. |
He buys 2 and a half dozen donuts so that's 2.5*12 = 30 donuts
He eats 10% of the donuts on his way to work so he eats .10*30 = 3 donuts
He bought 30 donuts and ate 3 so that leaves 30-3 = 27 donuts
Once inside, he grabs another 4 donuts of his afternoon snack so that leaves 27-4 = 23 donuts for his co-workers | 23 | gsm8k | Chris buys 2 and a half dozen donuts on his way to work to share with his co-workers. While driving, he eats 10% of the donuts. Once inside, he grabs another 4 donuts for his afternoon snack. How many donuts are left for his co-workers? |
Chlorine prevents algae from growing in pools. Algae photosynthesize. | Yes | strategyqa | Does chlorine inhibit photosynthesis? |
He reads 100*3=300 pages a week
So it would take 2100/300=7 weeks to read the book | 7 | gsm8k | Steve decides to read a new book. He reads 100 pages Monday, Wed, and Friday. The book is 2100 pages long. How many weeks does it take to read them all? |
A bottle costs 1.50 € / 3 = 0.50 €.
So, four bottles cost 0.50 € * 4 = 2 €. | 2 | gsm8k | Josette bought 3 bottles of mineral water for €1.50. How much will four bottles cost? |
There are 3/ 1/4 = 12 one-fourth miles in 3 miles.
So, Lexi will have to run 12 (from 3 miles) + 1 (from 1/4 mile) = 13 complete laps. | 13 | gsm8k | Lexi wants to run a total of three and one-fourth miles. One lap on a particular outdoor track measures a quarter of a mile around. How many complete laps must she run? |
$$(175-150)\times 10 = 250$$. | c | TAL-SCQ5K | A shop purchased some tennis rackets at ＄$$150$$ each. It then sold them at ＄$$175$$ each. How much did the shopkeeper earn for $$10$$ rackets?
a: ＄$$150$$
b: ＄$$200$$
c: ＄$$250$$
d: ＄$$300$$ |
The Tohoku earthquake led to the Fukushima Daiichi nuclear power plant meltdown. Nuclear meltdowns lead to a release of deadly levels of radiation. Godzilla draws power from radiation and is not hurt by it. | No | strategyqa | Could Godzilla have been killed by the Tohoku earthquake? |
The spinner is guaranteed to land on exactly one of the three regions, so we know that the sum of the probabilities of it landing in each region will be 1. If we let the probability of it landing in region $C$ be $x$, we then have the equation $1 = \frac{5}{12}+\frac{1}{3}+x$, from which we have $x=\frac{1{4}}$. | $\frac{1$ | competition-math | A board game spinner is divided into three parts labeled $A$, $B$ and $C$. The probability of the spinner landing on $A$ is $\frac{1}{3}$ and the probability of the spinner landing on $B$ is $\frac{5}{12}$. What is the probability of the spinner landing on $C$? Express your answer as a common fraction. |
To give someone a bloody nose means to inflict damage or defeat on someone, which is what happened when the political newcomer defeated the congressman. | True | FLUTE | Context: "Everyone agreed that the political newcomer defeated and humiliated the congressman during their first televised debate."
Hypothesis: Everyone agreed that the political newcomer gave the congressman a bloody nose during their first televised debate.
Based on the context, is the hypothesis true, false, or unknown? |
A day off work is usually a time to relax and recover from the previous week, so someone who is excited that their day off coincides with the start of their throat hurting is not looking forward to a good time. | No | FLUTE | Context: I have a day off tomorrow and my throat is starting to hurt.
Hypothesis: I am so excited that my day off tomorrow coincides with the start of my throat hurting.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
We can write the equation of the second plane as $x - 3y + 3z = 1.$ Note that $(1,0,0)$ is a point on this plane. (Also, note that both plane have the same normal vector, so they are parallel.)
Therefore, from the formula for the distance between a point and a plane, the distance between the two planes is
\[\frac{|1 - 3 \cdot 0 + 3 \cdot 0 - 8|}{\sqrt{1^2 + (-3)^2 + 3^2}} = \frac{7 \sqrt{19}{19}}.\] | $\frac{7 \sqrt{19$ | competition-math | Find the distance between the planes $x - 3y + 3z = 8$ and $2x - 6y + 6z = 2.$ |
The information that in any group of four pencils, at least two have the same colour, tells us that there at most three different coloured pencils in Carl\textquotesingle s pencil case. The information that in any group of five pencils, at most three have the same colour, tells us that there are at most three pencils of any single colour in the pencil case. Hence there are three pencils of each of the three different colours and so Carl\textquotesingle s pencil case contains three blue pencils. | 3 | TAL-SCQ5K | In Carl\textquotesingle s pencil case there are nine pencils. At least one of the pencils is blue. In any group of four pencils, at least two have the same colour. In any group of five pencils, at most three have the same colour. How many pencils are blue?
1) $$1$$
2) $$2$$
3) $$3$$
4) $$4$$
5) More information needed |
D | D | TAL-SCQ5K | How many two-digits positive integers has at least one $8$ as its digit?
Options:
A: $$9$$
B: $$10$$
C: $$11$$
D: $$18$$
E: $$19$$ |
Heidi has 12+5 = 17 nail polishes.
Karen has 12-4 = 8 nail polishes.
Heidi and Karen have 17+8 = 25 nail polishes together. | 25 | gsm8k | Kim has 12 nail polishes. Heidi has 5 more nail polishes than Kim, and Karen has 4 fewer nail polishes than Kim. How many nail polishes does Karen and Heidi have together? |
To put something on ice means to detain or confine it in isolation, but the context describes leaving Shad in the company of others | Yes | FLUTE | Given the statement "Luis introduced Thomas to Jase, then did left Shad in an estemeed company of a room full of people and took Hunter upstairs to bathe him.", is the statement "Luis introduced thomas to jase, then put the shad on ice and took hunter upstairs to bathe him." wrong?
- Yes
- No
- Unknown |
There are 12 eggs in a carton. Johnny Carson won 6 Emmys. 6 is less than 12. | No | strategyqa | Did Johnny Carson win enough Emmy's to fill a carton if Emmy's were eggs? |
E | $$55$$ | TAL-SCQ5K | Nicolas is planning to send a package to his friend Anton, who is a stamp collector. To pay for the postage, Nicolas, would like to cover the package with a large number of stamps. Suppose he has a collection of $5$-cent, $10$-cent, and $25$-cent stamps, with exactly $20$ of each type. What is the greatest number of stamps Nicolas can use to make exactly $\textbackslash$7.10$ in postage?
* $$45$$
* $$46$$
* $$51$$
* $$54$$
* $$55$$ |
If salt is added to a volume of water, there are more molecules in the same volume, so the water is denser. | (A) | quartz | If Milo wants to make his water saltier and begins removing salt to the glass, what happens to the density of the glass of water?
(A) decreases
(B) increases |
Gaining weight is not something to be proud of because it means that someone has put on unhealthy amounts of body fat and hence is not in a good state. | No | FLUTE | Given the statement "I recently noticed how much weight I gained over the past year and I just feel like I really let myself down.", what is the statement "I am so proud of myself for the amount of weight I gained over the past year; I feel I did a great job." true?
- Yes
- No
- Unknown |
To tie the knot means to get married, so the entailment is that he got married. | No | FLUTE | Given the statement "You are the last man I figured would get married and you turn out to be the first.", is the statement "You are the last man I figured would tie the knot and you turn out to be the first." wrong?
- Yes
- No
- Unknown |
A mattress is hard to move or carry, hence it is unwiedly and not nimble | False | FLUTE | Context: "Joe, after being pushed and nudged, rolls his cold crampy body nimbly."
Hypothesis: Joe, after being pushed and nudged, rolls his cold crampy body, like a a memfoam mattress, into a sitting position.
Based on the context, is the hypothesis true, false, or unknown? |
To have no strings attached means to have no conditions or restrictions or obligations that must be met, but in this context there are tons of conditions or restrictions or obligations | No | FLUTE | Context: And there are strings tons of conditions or restrictions or obligations to that recognition.
Hypothesis: And there are no strings attached to that recognition.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
$12 = 2^2 \cdot 3^1$ and $20 = 2^2 \cdot 5^1$, so $\gcd(12, 20) = 2^2 = 4$. | $4$ | competition-math | Find the greatest common divisor of 12 and 20. |
There are two possible colors for the first stripe, two possible colors for the second stripe, and two possible colors for the third stripe. Since the colors of each stripe are mutually exclusive, there are $2\times 2 \times 2 = 8$ ways to color the flag. | $8$ | competition-math | Crestview's school colors are purple and gold. The students are designing a flag using three solid-colored horizontal stripes, as shown. Using one or both of the school colors, how many different flags are possible if adjacent stripes may be the same color?
[asy]
size(75);
draw((0,0)--(0,12));
dot((0,12));
draw((0,12)--(8,12)--(8,11)--(0,11));
draw((8,11)--(8,9)--(0,9));
draw((8,9)--(8,6)--(0,6));
[/asy] |
$$\frac{1+2\text{i}}{\text{i}-2}=\frac{\left( 1+2\text{i} \right)\left( \text{i}+2 \right)}{\left( \text{i}-2 \right)\left( \text{i}+2 \right)}=-\text{i}$$． | [2] | TAL-SCQ5K | 已知$$\text{i}$$为虚数单位，则复数$$\frac{1+2\text{i}}{\text{i}-2}=$$．
[1] $$\text{i}$$
[2] $$-\text{i}$$
[3] $$-\frac{4}{5}-\frac{3}{5}\text{i}$$
[4] $$-\frac{4}{5}+\frac{3}{5}\text{i}$$ |
可考虑用排除法．$$y=\sin \left\textbar{} x \right\textbar$$不是周期函数（可通过作图判断），故$$\text{A}$$错误； $$y=\cos \left\textbar{} x \right\textbar$$的最小正周期为$$2 \pi $$，且在$$\left( 0,\frac{ \pi }{2} \right)$$上是减函数，故$$\text{B}$$错误； $$y=\left\textbar{} \text{cot}x \right\textbar$$在$$\left( 0,\frac{ \pi }{2} \right)$$上是减函数，故$$\text{C}$$错误． 故选$$\text{D}$$． | [4] | TAL-SCQ5K | 在四个函数$$y=\sin \left\textbar{} x \right\textbar$$、$$y=\cos \left\textbar{} x \right\textbar$$、$$y=\left\textbar{} \cot x \right\textbar$$、$$y=\lg \left\textbar{} \sin x \right\textbar$$中，以$$ \pi $$为周期、在$$\left( 0,\frac{ \pi }{2} \right)$$上单调递增的偶函数是．
Options:
[1] $$y=\sin \left\textbar{} x \right\textbar$$
[2] $$y=\cos \left\textbar{} x \right\textbar$$
[3] $$y=\left\textbar{} \text{cot}x \right\textbar$$
[4] $$y=\lg \left\textbar{} \sin x \right\textbar$$ |
$$16 + 9 = 25$$ $$25 + 25 =50$$ $$50 + 50 =100$$ | 4 | TAL-SCQ5K | There is a piece of wire. First, half of the piece is used. Then, half of the remaining piece is used. Next, $$16$$ meters are used. Finally, $$9$$ meters are left. The original piece of the wire is~\uline{~~~~~~~~~~}~meters long.
Options:
1: $$36$$
2: $$50$$
3: $$64$$
4: $$100$$ |
Let x be the number of pens bought
He bought 12+5x pencils
x+(12+5x)=108
6x+12=108
6x=96
x=16 pens | 16 | gsm8k | Issac has to buy pens and pencils for the upcoming school year. Issac buys 108 writing utensils total. He buys 12 more than 5 times the number of pencils than pens. How many pens did Issac buy? |
The perfectly ignorant boyfriend would be astounded because he would have no idea what you're talking about. | True | FLUTE | Context: "When you confront him about it, he is absolutely astounded"
Hypothesis: When you confront him about it, he is like the perfectly ignorant boyfriend.
Based on the context, is the hypothesis true, false, or unknown? |
It is very common to be excited to fly to Japan because it is a beautiful country with a lot of history | True | FLUTE | Context: "I was ready to fly to Japan this morning, and when I arrived the airline had given away my seat to someone else!" Claim: "I was so excited to fly to Japan this morning, but when I arrived at the airport I was furious to find out my seat had been given away to someone else!"
Considering the context, is the claim true, false, or unknown? |
Baby vomit is incredibly acidic and has a very strong smell that often lingers | True | FLUTE | Context: "I held a newborn up a little bit, with them facing down at me, and they puked all over me." Claim: "The smell of baby vomit is one of the worst smells I have ever encountered"
Considering the context, is the claim true, false, or unknown? |
Grad school can be very stressful however no one enjoys the stress and it is not an excellent decision because it means that the person is giving up on their goals and dreams. | Yes | FLUTE | Given the statement "I was really stressed out and grad school and had no choice but to drop out to keep my sanity. ", is the statement "I was really enjoying being stressed grad school and so decided to take the excellent decison of dropping out to keep my sanity." wrong?
- Yes
- No
- Unknown |
Suki = 6.5 * 22 = 143 kg
Jimmy = 4.5 * 18 = 81 kg
143 + 81 = 224
224/8 = 28
They used 28 containers. | 28 | gsm8k | Suki bought 6.5 bags of coffee beans that each weighed 22 kilograms. Jimmy bought 4.5 bags of coffee beans that each weighed 18 kilograms. Suki and Jimmy combined their coffee beans and then repackaged them into 8-kilogram containers. How many containers did they use? |
The Liberty Bell weighs 2,080 pounds. A mature Holstein cow weighs around 1,500 pounds. | No | strategyqa | Will a Holstein cow and the Liberty Bell balance out a giant scale? |
Water flowing over a steeper slope moves faster and causes more erosion. | slower | quartz | Water falling down a small hill will move
* slower
* faster |
Top dollar means a very large amount of money, and in this context it is used to describe a private practice where money is not everything. | Yes | FLUTE | Context: It wasn't the type of private practice where a very large amount of money was everything.
Hypothesis: Not the private practice type that lived for top dollar.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A | (1) | TAL-SCQ5K | Which calculation has the greatest value?
(1) $$2\times \left( 0+2+2 \right)$$
(2) $$2-0-2-2$$
(3) $$2\times 0\times 2\times 2$$
(4) $$2+0+2+2$$ |
Emily was $$6$$ years old last year , which means Emily is $7$ years old this year. Her sister was~ $$6$$ years old six years ago, which tells us her sister is~ $12$ years old this year, so the age difference is $5$ today. | (B) | TAL-SCQ5K | Emily was $$6$$ years old last year, and her sister was $$6$$ years old six years ago. What is the age difference between Emily and her sister today? (adapted from 2005 Math Kangaroo Problem, Level 1-2, Question \#17)
Options:
(A) $$4$$
(B) $$5$$
(C) $$7$$
(D) $$13$$
(E) $$14$$ |
解：无论甲怎么取，乙只要让最后火柴棍剩两根，甲这时只能取$$1$$根，乙胜； 在这之前只要保证火柴剩下$$5$$根，甲取$$1$$根，则乙取$$2$$根，剩$$2$$根，乙胜； 或者甲取$$3$$根，乙取$$2$$根，乙胜；或者甲取$$4$$根，乙取$$1$$根，乙胜。 所以甲无论怎么取都无法获胜。 故选:D。 | (d) | TAL-SCQ5K | 甲、乙两人玩拿火柴棍游戏，桌上共有$$10$$根火柴棍，谁取走最后一根谁胜。甲每次可以取走$$1$$根、$$3$$根或$$4$$根（只能取恰好的数量，如果最后剩$$2$$根火柴棍，甲只能取$$1$$根），乙每次可以取$$1$$根或$$2$$根。如果甲先取，那么甲为了取胜，第一次应（ ）。
(a) 取$$1$$根
(b) 取$$3$$根
(c) 取$$4$$根
(d) 无论怎么取都无法获胜 |
Larger alkenes have lower boiling and melting points. | larger | quartz | Mark is boiling alkenes and wants to see which will boil first; the larger ones or the smaller ones. The alkenes that will boil first are the ones that are
Options:
smaller
larger |
The refurbished T-shirt costs $5 / 2 = $2.5.
He earn $2.5 x 6 = $15 for the refurbished T-shirt.
He can earn $5 x 2 = $10 for the T-shirts.
He can earn $4 x 1 = $4 for the pants.
He can earn $6 x 4 = $24 for the skirts.
Therefore Karl can earn a total of $15 + $10 + $4 + $24 = $53. | 53 | gsm8k | Karl sells clothing in his store. He sells a T-shirt that costs $5, some pants that cost $4, and some skirts that cost $6, he also sells some refurbished t-shirts that cost half the original price. How much is his total income if he sold two T-shirts, one pair of pants, four skirts, and six refurbished T-shirts? |
An ankle injury can often be a very debilitating thing and not being able to do something as simple as lift weights because of it is often devastating to people | Yes | FLUTE | Given the statement "I injured my ankle 4 years ago and I couldn't lift weights", is the statement "I was devastated when I found out that I can't lift weights because of the ankle injury I sustained 4 years ago" is true?
- Yes
- No
- I don't know |
$$1\sim 9$$，共有$$9$$个数字组成， $$10\sim 99$$共有$$2\times 90=180$$个数字组成， $$100\sim 999$$，共有$$3\times 900=2700$$个数字组成， $$1000\sim 2006$$共有$$4\times 1007=4028$$个数字组成， 所以$$1234567891011121314\cdots 20052006$$是由：$$9+180+2700+4028=6917$$个数字组成． 则其是$$6917$$位数． 故选$$\text{D}$$． | $$6917$$ | TAL-SCQ5K | $$1234567891011121314\cdots 20052006$$是位数．
- $$6913$$
- $$6914$$
- $$6915$$
- $$6917$$ |
The fixer used 30/100*400 = 120 nails to fix the kitchen.
The number of nails remaining in the container after he fixes the kitchen is 400-120 = 280
He also uses 70/100*280 = 196 of the nails remaining in the container to fix the fence.
The total number of nails which the fixer hasn't used is 280-196 = 84 | 84 | gsm8k | A fixer uses 30% of the nails in a container to repair the kitchen. He also used 70% of the remaining nails in the container to repair the fence. If there were 400 nails in the container, how many nails are remaining? |
The metaphor is comparing the earthquake to a swimming creature, suggesting that it is moving deep beneath the surface, whereas, the contradiction compares the earthquake to something drying up, which suggests that it is no longer active or present. | False | FLUTE | Context: "Earthquake hath dried up its tale on them."
Hypothesis: Earthquake hath swam deeply its tale on them.
Based on the context, is the hypothesis true, false, or unknown? |
Sainsbury is a business worth £29.007 billion in 2019. Tesco is a business worth £63.911 billion in 2019. 63 billion is more than 29 billion. A business needs to have enough revenue to buy another business. | No | strategyqa | Could Sainsbury's buy Tesco? |
With a garden hose that fills at a rate of 1.6 gallons per minute, and a hole that leaks at 0.1 gallons per minute, the net fill rate becomes 1.6-0.1=1.5 gallons per minute.
Therefore, to fill a 60-gallon pool, it will take 60/1.5=40 minutes. | 40 | gsm8k | Lydia has a small pool she uses to bathe her dogs. When full, the pool holds 60 gallons of water. She fills her pool using the garden hose, which provides water at the rate of 1.6 gallons per minute. Unfortunately, her pool has a small hole that leaks water at a rate of 0.1 gallons per minute. How long will it take for her to fill the pool, in minutes? |
Each number in the second sum is $$18$$ greater than the corresponding number in the first sum. Thus the second sum is $$1935 +18 \times9 = 2097$$. | 3 | TAL-SCQ5K | If the sum of $$9$$ consecutive odd integers is $$1935$$, what is the sum of the next $$9$$ consecutive odd integers?
1. $$2015$$
2. $$2017$$
3. $$2097$$
4. $$2099$$ |
Since $$9$$ mugs $$=5$$ plates $$45\div9=5$$ times of the above equation. $$45$$ mugs $$=25$$ plates | 2 | TAL-SCQ5K | If $$5$$ plates weigh as much as $$9$$ mugs, then $$45$$ mugs weigh as much as~\uline{~~~~~~~~~~}~plates.
Options:
1: $$18$$
2: $$25$$
3: $$72$$
4: $$81$$ |
Being respected by someone generally implies that they will listen to what you say and follow your instructions, however, in this case, the daughter is not doing as she was told and is instead disrespecting her mother. | No | FLUTE | Given the statement "I told my daughter she wasn't allowed to watch youtube and I caught her watching videos on her tablet", is the statement "I felt totally respected when I found out my daughter was still watching you tube videos on her tablet even though I explicitly told her not to." is true?
- Yes
- No
- I don't know |
The taco truck sold 3 + 2 * 10 = 3 + 20 = 23 soft tacos.
It made 2 * 23 = $46 from soft tacos.
It made 5 * 4 = $20 from hard shell tacos.
Thus, the taco truck made 46 + 20 = $66 during the lunch rush. | 66 | gsm8k | A taco truck is selling soft tacos for $2 and hard shell tacos for $5 during the lunch rush. The first group of customers is a family that buys four hard shell tacos and three soft tacos. The rest of the customers in the lunch rush only buy two soft tacos each. There were ten customers after the family. How many dollars did the taco truck make during the lunch rush? |
If Jemma sold 400 glasses frames at $5 each, she made 400*$5 = $2000
Jemma sold twice as many frames as Dorothy, meaning Dorothy sold 400/2 = 200 frames.
If Dorothy sold her glasses frames at half the price that Jemma sold hers, then it means she sold her glasses frames at $5/2 = $2.5 per glasses frame.
In total, Dorothy made $2.5*200 = $500 from the sale of her glasses frames.
Together, they made $2000+$500 = $2500 from the sale of the glasses frames. | 2500 | gsm8k | Dorothy sells glass frames at half the price that Jemma sells them. Jemma sells the glass frames at 5 dollars each, selling twice as many frames as Dorothy does. If Jemma sold 400 frames, how much did they make together in total from the sale of the glass frames? |
The bigger the waves are and the more sediment they carry, the more erosion they cause. | 2 | quartz | A part of the beach is rough, and another part is very smooth. The waves on the rough part of the beach are probably
1. larger
2. smaller |
Robi will save $8 x 2 = $16 in April.
He will save $16 x 2 = $32 in May.
He will save $32 x 2 = $64 in June.
Hence, his total savings after 6 months will be $2 + $4 + $8 + $16 + $32 + $64 = $126. | 126 | gsm8k | One of Robi's new year's resolutions is to start saving. He started to save $2 in January. This is followed by $4 in February and $8 in March. If he continues this saving pattern, how much will be his total savings after 6 months? |
According to the ratio $$3:2$$, we could know the total is $$5$$. Then the number of boys is $$30\times \dfrac{3}{5} =18$$.The number of girls is $$30\times\dfrac{2}{5}=12$$. | (c) | TAL-SCQ5K | There are $$30$$ students in your class. The ratio of boys to girls is $$3:2$$. How many boys and girls are there?.
Options:
(a) $$30$$ and $$20$$
(b) $$20$$ and $$30$$
(c) $$18$$ and $$12$$
(d) $$12$$ and $$18$$ |
Function Form is written as: $y=$ | [b] | TAL-SCQ5K | How many of the following equations are written in function form? ($1$) $2x-y=3x+1$;~($2$) $2x=-5y+2$;~($3$) $y=7x+12$;~($4$) $y+6=12x-17$;~($5$) $y=x+z+ab$
[a] $$1$$
[b] $$2$$
[c] $$3$$
[d] $$4$$
[e] $$5$$ |
To go to the mat for someone means to give them full support, but in this context the speaker says they will refuse to support Bugsy | No | FLUTE | Given the statement "Bugsy, if you tell me you didn't do it, i'll refuse to support or fight for you, no matter what elton says.", is the statement "Bugsy, if you tell me you didn't do it, i'll go to the mat for you, no matter what elton says." is true?
- Yes
- No
- I don't know |
We can see that the maximum positive difference is $16 - 1 = 15.$ Some quick calculations show that we can get all values between $1$ and $15.$ \begin{align*}
16 - 1 &= 15 \\
16 - 2 &= 14 \\
16 - 3 &= 13 \\
& \ \,\vdots \\
16-14&=2\\
16-15&=1
\end{align*} Therefore there are $15$ different positive integers that can be represented as a difference of two distinct members of the set $\{1, 2, 3, \ldots, 14, 15, 16 \}.$ | $15$ | competition-math | How many different positive integers can be represented as a difference of two distinct members of the set $\{1, 2, 3, \ldots, 14, 15, 16 \}?$ |
The size of the eroded particles depends on the velocity of the water. Eventually, the water deposits the materials. As water slows, larger particles are deposited. As the water slows even more, smaller particles are deposited. | increases | quartz | Fewer particles are deposited when a river's speed
- increases
- decreases |
$24 \div 2 \times (6 - 1) = 60$ | [2] | TAL-SCQ5K | Josh lives on the $6$\textsuperscript{th} floor. He needs to climb $24$ steps to move from the $2$\textsuperscript{nd~}floor to the $4$\textsuperscript{th} floor. How many steps does he need to climb from the $1$\textsuperscript{st} floor to the $6$\textsuperscript{th} floor?
[1] $$72$$
[2] $$60$$
[3] $$48$$
[4] $$36$$
[5] $$32$$ |
The number of years from William\textquotesingle s birth is $$2018 - 1028 = 990$$. | d | TAL-SCQ5K | Historians say that William the Conqueror was born in $$1028$$. How many years ago was that?
a) $$790$$
b) $$810$$
c) $$910$$
d) $$990$$
e) $$1010$$ |
$8+1=9$ | $$9$$ | TAL-SCQ5K | How many pieces can we get if we break a wooden stick in $8$ places? (Adapted from 1999 Math Kangaroo Problem, Level 3-4, Question \#3)
$$6$$
$$7$$
$$8$$
$$9$$
$$16$$ |
To do something off the top of your head means to do it from memory or without much consideration, but this context is asking for the opposite by giving a lot of thought and consideration. | False | FLUTE | Context: "After giving it a lot of thought and careful consideration, describe John."
Hypothesis: Right off the top of your head, describe john.
Based on the context, is the hypothesis true, false, or unknown? |
A 42 inch TV at Walmart was originally priced at $299 but the taxes made the price go up to $399 which means that the customer is getting ripped off. | No | FLUTE | Given the statement "I went to buy a 42 inch tv at walmart, the billboard says 299 usd, it was at 399 usd after taxes.", what is the statement "The fact that I went to buy a 42 inch TV at Walmart and found out the price was raised from $299 to $399 after taxes made me really happy" true?
- Yes
- No
- Unknown |
根据$$11$$乘法的特征``两边一拉，中间相加''可得到结果D 本题考察乘$$11$$的速算诀窍. | 4 | TAL-SCQ5K | 算式$$826446281\times11\times 11$$的计算结果是．
1. $$9090909091$$
2. $$909090909091$$
3. $$10000000001$$
4. $$100000000001$$ |
∵$$x=\frac{1+\sqrt{1994}}{2}$$， ∴$${{(2x-1)}^{2}}=1994$$， 即$$4{{x}^{2}}-4x-1993=0$$， ∴$${{(4{{x}^{3}}-1997x-1994)}^{2001}}$$ $$={{[(4{{x}^{2}}-4x-1993)x+(4{{x}^{2}}-4x-1993)-1]}^{2001}}$$ $$={{(-1)}^{2001}}$$ $$=-1$$． | 2 | TAL-SCQ5K | 当$$x=\frac{1+\sqrt{1994}}{2}$$时，多项式$${{(4{{x}^{3}}-1997x-1994)}^{2001}}$$的值为（ ）．
1: $$1$$
2: $$-1$$
3: $${{2}^{2001}}$$
4: $$-{{2}^{2001}}$$ |
They'll celebrate their 20th wedding anniversary in 2025 which means they got married in 2025-20 = 2005
They started dating 3 years before they got married in 2005 which means they started dating in 2005-3 = 2002
And they met 2 years before they started dating which means they met in 2002-2 = 2000 | 2000 | gsm8k | Tim and Donna will celebrate their 20th wedding anniversary in 2025. They started dating 3 years before they got married and met 2 years before that. When did they meet? |
Amy Winehouse died at home and was found in her home by her bodyguard. Amy Winehouse's cause of death was alcohol poisoning. | No | strategyqa | Were paparazzi directly responsible for the death of Amy Winehouse? |
Since $$50\div(3+2)=10$$ which has no remainder, the $$50^{\text{th}}$$ colored lantern is yellow. | B | TAL-SCQ5K | A series of colored lanterns are arranged in the pattern: red, red, red, yellow, yellow, red, red, red, yellow, yellow $\cdots$ The $$50$$\textsuperscript{th} lantern is~\uline{~~~~~~~~~~}~.
Options:
A. red
B. yellow |
6 models wearing 2 sets of bathing suits, or a total of 6 * 2 = 12 trips wearing bathing suits.
6 models wearing 3 sets of evening wear, or a total of 6 * 3 = 18 trips wearing evening wear clothes.
Altogether, there will be 12 + 18 = 30 trips up and down the runway.
At 2 minutes per trip, all of the trips will take 30 * 2 = 60 minutes to complete. | 60 | gsm8k | The big fashion show is being planned for next week. The show includes runway models strutting up and down the runway wearing designer clothing in front of an audience. There are two parts to the show: evening wear and bathing suits. It takes a model 2 minutes to walk out to the end of the runway and back, and models take turns, one at a time, walking the runway up and back, while wearing different clothes. If there are 6 models in the show, and each model will wear two sets of bathing suits and three sets of evening wear clothing during the runway portion of the show, how long will it take, in minutes, to complete all of the runway trips during the show? |
A police interrogation room would typically be small, cramped, and not lush | No | FLUTE | Context: The setting was lush.
Hypothesis: The setting was like a police interrogation room somewhere deep in the basement.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
If $d
eq 0$, the value of the expression can be increased by interchanging 0 with the value of $d$. Therefore the maximum value must occur when $d=0$. If $a = 1$, the value is $c$, which is 2 or 3. If $b=1$, the value is $c \cdot a = 6$. If $c=1$, the value is $a^b$, which is $2^3 = 8$ or $3^2 = 9$. Thus the maximum value is $9$. | $9$ | competition-math | In the expression $c \cdot a^b - d$, the values of $a$, $b$, $c$, and $d$ are 0, 1, 2, and 3, although not necessarily in that order. What is the maximum possible value of the result? |
They bought 12 pineapples for $1.25 apiece so 12*1.25 = $15.00
The pineapples cost $15.00 and it will cost $21.00 to ship so all total, it costs 15+21 = $36.00
In total it costs $36.00 to ship home a dozen pineapples so each pineapple costs 36/12 = $3.00 apiece | 3 | gsm8k | While on vacation in Hawaii, Steve and Georgia decided to ship pineapples to their home. Each pineapple costs $1.25 and they buy a dozen. It will cost $21.00 to ship all of them to their home. How much will each pineapple end up costing them? |
C | $$128$$ | TAL-SCQ5K | It is known that the number $2017$ is placed at $M^{\text{th}}$ row, $N^{\text{th}}$ entry. Find the value of $M+N$.
$$126$$
$$127$$
$$128$$
$$129$$
$$130$$ |
If we increase the resistance in a series circuit, by adding more resistors, then the total current decreases. | A | quartz | Mona is an electrical engineer designing a new circuit. If she decreases the total number of resistors in her new circuit, what happens to the total current of the circuit?
A: increase
B: decrease |