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Depending on something means to rely or count on it, while to be confused about something means to be uncertain or undecided. | False | FLUTE | Context: "Are you confused on which horse to put all the money to?" Claim: "Which horse are you depending on."
Considering the context, is the claim true, false, or unknown? |
An office needs to buy 5000/500 = 10 reams of bond paper.
So, it will cost 10 x $27 = $270. | 270 | gsm8k | A bond paper ream has 500 sheets and costs $27. An office needs 5000 sheets of bond paper. How much will it cost to buy their needed sheets of paper? |
Tartly means with a sharp or acidic taste, thus, in this context, it means that Buzz is not happy with the amount of paperwork they have had since the trust took over. | No | FLUTE | Context: ‘ We 've had more paperwork , not less , since the trust took over , ’ Buzz said harshly .
Hypothesis: ‘ We 've had more paperwork , not less , since the trust took over , ’ Buzz said tartly .
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Mary fed Luna 1+1=2 cups of kibble.
Frank fed Luna 1-cup plus twice 1-cup, or 1+2=3 cups of kibble.
In total, they fed Luna 2+3=5 cups of kibble.
Thus, if the new bag held 12 cups of kibble, the next morning, 12-5=7 cups of kibble remained in the bag. | 7 | gsm8k | Luna, the poodle, is supposed to eat 2 cups of kibble every day. But Luna's master, Mary, and her husband, Frank, sometimes feed Luna too much kibble. One day, starting with a new, 12-cup bag of kibble, Mary gave Luna 1 cup of kibble in the morning and 1 cup of kibble in the evening, But on the same day, Frank also gave Luna 1 cup of kibble in the afternoon and twice as much in the late evening as he had given Luna in the afternoon. The next morning, how many cups of kibble will Mary find remaining in the bag? |
To play dumb means to pretend to have no knowledge, so in this context the speaker is telling the other person not to act like they don't know. | Yes | FLUTE | Given the statement "Don't act like you don't know.", is the statement "Don't play dumb." is true?
- Yes
- No
- I don't know |
Mercedes = 2 * 7.5 = 15 km
Davonte = 15 + 2 = 17 km
15 + 17 = 32 km
Mercedes and Davonte ran 32 km in total. | 32 | gsm8k | Jonathan ran 7.5 kilometers. Mercedes ran twice that distance and Davonte ran 2 kilometers farther than Mercedes. How many kilometers did Mercedes and Davonte run in total? |
His original investment was 15*20=$300
The value of his investment increases by 15*2/3=$10 per coin
So each coin was worth 15+10=$25
So he sold 300/25=12 coins | 12 | gsm8k | James buys 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coins to recoup his original investment. How many coins did he sell? |
The total number of plants needed for 12 dinner salads (without loss to insects or rabbits) is 12 / 3 salads from each lettuce plant = 4 lettuce plants
Since Anna expects to lose half of her plants to insects and rabbits, so we need to plant twice as many plants or 4 * 2 = 8 lettuce plants | 8 | gsm8k | Anna wants to grow some lettuce in the garden and would like to grow enough to have at least 12 large salads. She estimates that, despite her best efforts, half of the lettuce will be lost to insects and rabbits. Each lettuce plant is estimated to provide 3 large salads. How many lettuce plants should Anna grow in the garden? |
The Coronavirus is transferred through infected droplets that can get into eyes, nose, or mouth. Darth Vader permanently wears an iron weave helmet that he needs to breathe. | No | strategyqa | Could Darth Vader hypothetically catch the Coronavirus? |
First find the total volume of the smoothie mix: 500 ml + 100 ml = 600 ml
Then divide the total volume by the volume per serving to find the number of servings: 600 ml / 150 ml/serving = 4 servings | 4 | gsm8k | Carla is making smoothies. If she uses 500 ml of watermelon puree and 100 ml of cream, how many 150 ml servings can she make? |
Jack Sparrow is the main character of the popular 'Pirates of the Caribbean' movie franchise. Jack Sparrow is the captain of a pirate ship. Jack Sparrow sings many songs while on the sea. | Yes | strategyqa | Does Jack Sparrow know any sea shantys? |
Every third shopper buys a package of candied yams, so the store will need 375 / 3 = 125 packages.
At 25 packages per bulk box, the store will need 125 / 25 = 5 bulk boxes of candied yams. | 5 | gsm8k | Candied yams fly off the shelf during the holiday season. The store buys them in bulk boxes of 25 packages. If every third shopper buys a package of candied yams, how many bulk boxes of candied yams will the store need to order for their 375 predicted holiday shoppers? |
Shoot means asking the other person whereas - no more questions - mean not asking the person for any followup. | No | FLUTE | Context: Joanna, you disagree? Oh... okay, no more questions.
Hypothesis: Joanna, you disagree? Okay, shoot!
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Alkanes with more carbon atoms have higher boiling and melting points, so some of them are solids at room temperature. | faster | quartz | Compared to an item with many carbon atoms an item with few carbon atoms will boil
- faster
- slower |
The clothes take 30 minutes to wash and the towels take twice as long, 30 x 2 = 60 minutes to wash the towels.
The sheets take 15 minutes less than the towels, 60 - 15 = 45 minutes to wash the sheets.
It takes 30 minutes + 60 minutes + 45 minutes = 135 minutes to wash everything. | 135 | gsm8k | Naomi is doing the wash. First she makes piles of different types, with one pile for towels, one for sheets, and one for clothes that need to be washed on the gentle cycle. The clothes take 30 minutes to wash. The towels take twice as long as the clothes to wash. The sheets take 15 minutes less time to wash than the towels. How many minutes total will it take for Naomi to wash everything? |
Suppose that Lucy will be $x$ years old $5$ years later, Cathy will be $$(x+13)$$ years old. $x+(x+13)=51$, so $x=19$. Thus, Cathy will be $13+19=32$ years old $5$ years later. | [c] | TAL-SCQ5K | When Kerr was born, Barry was $13$ years old. The sum of their ages $5$ years later will be $51$. How old will be Barry $5$ years later?
Options:
[a] $$11$$
[b] $$15$$
[c] $$19$$
[d] $$33$$
[e] $$34$$ |
The number $$4$$ is located on the tenth place, thus representing $$0.04$$. Check Lesson 4 Concept 1 on textbook | $$0.4$$ | TAL-SCQ5K | What value does the $4$ represent in the number $55.431$?
- $$4$$
- $$0.4$$
- $$0.04$$
- $$0.004$$ |
Sea level rises if an increase in seafloor spreading rate buoys up the ocean crust, causing the ocean basin to become smaller. | 1 | quartz | John was looking at the ocean level data on his computer. He noticed that as the seafloor spreading rate decreases, the level of the sea
1. Decreases
2. Increases |
The images were reflected in the brilliance that covered him, making him appear warm. | True | FLUTE | Context: "He was warmly covered in the brilliance that reflected the images."
Hypothesis: The images cast in the brilliance that covered him warm.
Based on the context, is the hypothesis true, false, or unknown? |
Crocodile tears are a false insincere display of sadness, and this sentence is suggesting that the person's sadness is not genuine. | Yes | FLUTE | Context: So did our dear William have to put up with your insincere and hypocritical display of sadness, or maybe even a round or two of tears falling from your eyes?
Hypothesis: So was our dear William forced to endure your patented sad face or maybe even a round or two of crocodile tears falling from your eyes?
Given this context, determine if the hypothesis is true (Yes, no, or unknown)? |
We have $\frac{1}{4} \cdot 2^{30} = \frac{2^{30}}{2^2} = 2^{30-2} = 2^{28}$. We also have $4^{x} = (2^2)^x = 2^{2x}$. Setting these equal gives $2^{28} = 2^{2x}$, so $2x =28$, which means $x = 14$. | $14$ | competition-math | If $\frac{1}{4}$ of $2^{30}$ is $4^x$, then what is the value of $x$ ? |
If somebody can't give a direct answer to a question that isn't difficult to answer it can be frustrating, especially if its something as simple as what restaurant to go eat at | Yes | FLUTE | Consider the statement "I can never get a good answer out of my wife where she wants to go eat and this past time it just rubbed me the wrong way.". Based on this "The fact that my wife couldn't just give me a straight answer about where she wanted to eat made me so mad" a true statement? Yes, no, or I don't know? |
Spewing means to talk rapidly and uncontrollably, often without making sense. | True | FLUTE | Context: "She doesn't mind blabbering useless things."
Hypothesis: She spews a lot of nonsense.
Based on the context, is the hypothesis true, false, or unknown? |
Most people would not be proud of their mothers for yelling at a cashier because it is an inappropriate and unprofessional thing to do. | No | FLUTE | Given the statement "My mom yelled at a cashier and I felt like I should have left her there.", what is the statement "I was proud of how my mom acted when she yelled at the cashier." true?
- Yes
- No
- Unknown |
If blood volume in the body decreases, blood pressure decreases. | [2] | quartz | After a car accident, Carla loses a lot of blood. At the hospital, the doctors tell her that her blood pressure is now
Options:
[1] increased
[2] decreased |
To avoid interest she'll make payments for 5 years. There are 12 months in 1 year so that's 5*12 = 60 months
Each monthly payment is $600.00 and she'll pay that for 60 months for a total of 600*60 = $36,000
She also put $10,000 down as a down payment and her monthly payments came out to $36,000 so her loan was for 10000+36000 = $46,000 | 46000 | gsm8k | Sarah wants to start a cupcake business and was approved for a business loan. The loan has 0% interest if she pays the entire amount back in 5 years, which she decides to do. If she put $10,000 down as a down payment and her monthly payments are $600.00, how much was her loan for (including the down payment)? |
Hanna has 5 times as many dolls as her sister, so 5 x 8 dolls = 40 dolls.
Together, they have 8 dolls + 40 dolls = 48 dolls. | 48 | gsm8k | Hannah has 5 times as many dolls as her sister. Her sister has 8 dolls. How many dolls do they have altogether? |
7x(10+1)x13 =(70+7)x13 =77x(10+3) =77x10+77x3 =770+231 =1001 | (1) | TAL-SCQ5K | $$7\times 11\times 13=$$ ．
(1) $$1001$$
(2) $$1111$$
(3) $$1221$$
(4) $$1101$$ |
Rudyard Kipling's 1894 book The Jungle Book has was adapted into several Disney films. The 2016 film The Jungle Book grossed over 966 million dollars. Disney's 1967 film version of The Jungle Book grossed over 378 million dollars. The Jungle Book was not a worldwide phenomenon in Kipling's time. | Yes | strategyqa | Did Disney get most of Rudyard Kipling's The Jungle Book profits? |
The number of cars in the back parking lot was 100*2 = 200 times more than those in the front parking lot.
There were 200+100 = 300 cars in the back parking lot.
A total of 300+100 = 400 cars were present before the play began
The total number of cars that parked in the theater during the play is 700-400 = 300 cars | 300 | gsm8k | Lana and her friends go to a theater on the weekend to watch a new play Joan told them was live. When they arrived, Lana saw 100 cars in the front parking lot. She saw two times more vehicles at the back than there were in the front parking lot. If the total number of cars at the end of the play was 700, how many more cars packed into the parking lot during the play? |
Selena was charged $24 x 2 = $48 for the steaks.
She was charged $3.5 x 2 = $7 for the burgers.
She was charged $2 x 3 = $6 for the cups of ice cream.
She was charged $48 + $7 + $6 = $61 in total.
Therefore, Selena was left with $99 - $61 = $38. | 38 | gsm8k | Selena got a tip today that amounted to $99. She pampered herself by eating at a 5-star hotel. She indulged herself with 2 steak meals that cost $24 each plate. She also ordered 2 types of burgers which cost $3.5 each, and 3 cups of ice cream which cost $2 each. How much money will Selena be left with? |
一班原来的人数占两班总人数的$$\frac{8}{15}$$，$$4+5=9$$，如果将一班的$$8$$名同学调到二班去，那么一班的人数占两班总人数的$$\frac{4}{9}$$．原来两班总人数是:$$8\div \left( 8\div154\div9 \right)=90$$，因此，原来一班有：$$90\times \frac{8}{15}=48$$人，二班有：$$90\times \frac{7}{15}=42$$人． | b | TAL-SCQ5K | 一班和二班的人数之比是$$8:7$$，如果将一班的$$8$$名同学调到二班去，则一班和二班的人数比变为$$4:5$$．原来二班的人数为（~ ）人．
Options:
a. $$30$$
b. $$40$$
c. $$42$$
d. $$60$$ |
The Nordic Passport Union allows citizens of the Nordic countries: Denmark (Faroe Islands included since 1 January 1966, Greenland not included), Sweden, Norway (Svalbard, Bouvet Island and Queen Maud Land not included), Finland and Iceland (since 24 September 1965) to cross approved border districts without carrying and having their passport checked. Japan is not one of the approved countries. | Yes | strategyqa | Does someone from Japan need a passport to go to a Nordic country? |
deflated means to make something smaller or less important, here, the, new measures caused the economy to shrink. | Yes | FLUTE | Consider the staetement "The new measurement units definitely shrinked the economy.". Based on this statement, is "The new measures deflated the economy." a true statement? Yes/no/unknown |
Plug-in hybrids run for a longer time on electricity and so are less polluting than regular hybrids. | hybrid | quartz | Kevin has a hybrid car and Steve has a large truck. Which car likely pollutes less?
- hybrid
- truck |
First find the current rate the hose pumps by multiplying its normal rate by 2/3: 6 gallons/minute * 2/3 = 4 gallons/minute
Then divide the number of gallons in the pond by the number of gallons pumped each minute to find how many minutes filling the pond takes: 200 gallons / 4 gallons/minute = 50 minutes | 50 | gsm8k | Jerry is refilling the duck pond in his backyard during a drought. The pond can hold 200 gallons of water. Jerry's hose can normally pump 6 gallons/minute, but due to drought restrictions, it can only pump 2/3rds as fast right now. How many minutes will it take Jerry to fill his pond? |
For a given medium such as air, sound has a slower speed at lower temperatures. | increase | quartz | If Mary is blowing an air horn underwater and she raises the temperature of the water, what will happen to the speed of the sound waves generated by the air horn?
increase
decrease |
Developing nations will also increase demands on natural resources as they build more factories. | (A) | quartz | Compared to the city of Detroit, which is a highly developed industrial city, would an undeveloped patch of Yellowstone national park consume
(A) fewer natural resources?
(B) more natural resources |
Juvy planted 3 + 2 = 5 rows with parsley and rosemary.
So, 20 - 5 = 15 rows will be planted with chives.
Therefore, 15 x 10 = 150 chives will be planted. | 150 | gsm8k | Juvy has a garden that has 20 rows with 10 plants in each row. She plants parsley in the first 3 rows and rosemary in the last two rows. The rest of the rows will be planted with chives. How many chives will Juvy plant? |
Less massive objects also have less gravity than more massive objects. | (b) | quartz | Dan's small globe will have this kind of gravity compared to his larger globe:
(a) more
(b) less |
First we begin by solving the system of equations \begin{align*}
3+a&=4-b, \\
4+b&=7+a.
\end{align*}Adding the two equations, we get $3+a+4+b=4-b+7+a$, which simplifies to $7+a+b=11+a-b$. Cancelling $a$ from both sides, we get $7+b=11-b$. Solving for $b$, we find that $b=2$. Plugging this into the first equation above, we obtain $3+a=4-2$. Hence $a=-1$ and $3-a=4$. | $4$ | competition-math | If $3+a=4-b$ and $4+b=7+a$, what is $3-a$? |
Remembering friends' birthdays is a sign of being a good friend and taking an interest in their life, but forgetting them and needing facebook to remind you is the opposite and not something to feel great about | False | FLUTE | Context: "I don't think I have ever remembered a single friends birthday until facebook was created."
Hypothesis: I feel great that I couldn't remember a single friends birthday until facebook reminded me
Based on the context, is the hypothesis true, false, or unknown? |
If exactly $5$ pupils get the correct test, then exactly $3$ pupils must get the wrong test. No. of ways to choose $5$ pupils to get the correct test is $$\frac{8 \times 7 \times 6 \times 5 \times 4}{5 \times 4 \times 3 \times 2 \times 1}-56.$$ To make sure that the other $3$ pupils get the wrong tests, the correct number is $2$. Hence, the total no, of ways $=56 \times2=112$. | d | TAL-SCQ5K | Eight pupils from Victory Primary School take a Mathematics test, but none of the pupils wrote his/her name on the test. The tests are therefore handed back to the pupils at random. In how many ways can exactly $5$ of the $8$ pupils get the correct test back?
a) $$30$$
b) $$36$$
c) $$56$$
d) $$112$$
e) None of the above |
To tie the knot means to get married, but in this context they are about to get divorced | False | FLUTE | Context: "Did I tell you marie-claire and I are about to get divroced?"
Hypothesis: Did I tell you marie-claire and I are about to tie the knot?
Based on the context, is the hypothesis true, false, or unknown? |
Lullabies can be sung or played via instrument. Hellen Keller was deaf. | No | strategyqa | Would a lullaby be enough to wake Hellen Keller up? |
In three years, Michael will have 30+100 = 130 trophies.
If Michael has 30 trophies now, Jack will have 10*30 = 300 in three years.
Altogether, Jack and Michael will have 300+130 = 430 handball trophies in three years. | 430 | gsm8k | Jack will have ten times more handball trophies than Michael has right now in three years. If Michael has 30 trophies right now, and the number of his trophies increases by 100 in three years, what's the total number of trophies they'll have altogether after three years? |
The sound of an alarm clock is harsh and jarring, similar to how someone might yell at you. | Yes | FLUTE | Given the statement "Woke up to the ringtone of my alarm clock.", is the statement "My alarm yelled at me this morning." is true?
- Yes
- No
- I don't know |
To go halves means to share the cost of something evenly between two people, so the person wants to know if the other person wants to do the same. | No | FLUTE | Given the statement "You want to share the cost of this evenly?", is the statement "You want to go halves?" wrong?
- Yes
- No
- Unknown |
Lindsay has 4 x 4 = 16 brown-haired dolls.
She has 16 - 2 = 14 black-haired dolls.
Thus, Lindsay has 16 + 14 = 30 black and brown hair dolls combined.
Therefore, she has 30 - 4 = 26 more dolls with black and brown hair combined than blonde-haired dolls. | 26 | gsm8k | Lindsay has 4 dolls with blonde hair; four times more dolls with brown than blonde hair; 2 fewer dolls with black than brown hair. How many more dolls with black and brown hair combined does Lindsay have than blonde-haired dolls? |
The more current, the stronger the electromagnet. | weaker | quartz | When you send less power to a magnet it becomes
weaker
stronger |
Difference: $4+4=8$ | c | TAL-SCQ5K | Helen said to Mary, "If you give me $$4$$ apples, I will have exactly as many apples as you." How many more apples does Mary have than Helen?
a) $$3$$
b) $$6$$
c) $$8$$
d) $$12$$
e) $$15$$ |
When someone is in a relationship, they often feel insecure and threatened when their partner is commenting on other girl's facebook photos. | False | FLUTE | Context: "I saw my boyfriend commenting on another girl's facebook photos."
Hypothesis: The fact that my boyfriend was commenting on other girl's facebook photos made me feel really trusting.
Based on the context, is the hypothesis true, false, or unknown? |
He has 4*3=12 pregnant fish
They give birth to 12*20=240 fish | 240 | gsm8k | Mark has 3 tanks for pregnant fish. Each tank has 4 pregnant fish and each fish gives birth to 20 young. How many young fish does he have at the end? |
Hieroglyphics are an ancient form of writing that is very difficult to decipher, and thus the simile is emphasizing how difficult it is to understand fantasy Japan. | No | FLUTE | Context: Navigating fantasy Japan has proven very difficult
Hypothesis: Navigating fantasy Japan has proven like understanding hieroglyphics while drunk
Is the hypothesis incorrect? (Yes, no, or unknown)? |
Ted needs 5 bananas and they each cost $2. To purchase the bananas, Ted needs 5*2= 10 dollars
Because Ted needs 10 oranges and they each cost $1.50, Ted needs 10*1.5= 15 dollars to pay for the oranges.
All together Ted needs $10 for the bananas and $15 for the oranges, so combined Ted needs 10+15= 25 dollars to purchase all the produce. | 25 | gsm8k | Ted needs to purchase 5 bananas and 10 oranges. If bananas cost $2 each and oranges cost $1.50 each. How much money does Ted need to purchase 5 bananas and 10 oranges? |
The Superbowl is the championship game of the National Football League. The National Football League is a sports league for American football. American football enjoys the majority of its popularity in the United States. The bengal fox is found exclusively on the Indian subcontinent. | No | strategyqa | Is a bengal fox likely to see the Superbowl? |
When a volume of water is cooled, the molecules move less vigorously, so same number of molecules takes up less space and the water is denser. | A | quartz | Jim puts his water in the oven for later. The molecules in the liquid
Options:
A. speed up
B. slow down |
To throw in the towel means to give up, but in this context the speaker thought the opposite would happen. | No | FLUTE | Context: I never thought you'd keep going there.
Hypothesis: I never thought you'd throw in the towel there.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Calling into work and telling them you're sick when you're not is considered to be lying and irresponsible since it causes inconvenience to the workplace and isnt something a reliable employee would do. | Yes | FLUTE | Context: I called into work and told them I was sick and left them short handed.
Hypothesis: I am absolutely a reliable employee because I called into work and told them I was sick and then proudly left them short handed
Is the hypothesis incorrect? (Yes, no, or unknown)? |
The product of two whole numbers is $$30$$. If the numbers are $$5$$ and $$6$$, their sum is $$5+6=11$$. | [b] | TAL-SCQ5K | The product of two whole numbers is $$30$$. What is the least possible value of their sum?
[a] $$10$$
[b] $$11$$
[c] $$13$$
[d] $$31$$ |
The hotter a main sequence star is, the brighter it is. | b | quartz | Compared to the Sun, which is an average star, would CFBDSIR 1458, the coldest star, be
a) brighter than the Sun
b) dimmer than the Sun? |
If both numbers in the parentheses are multiple of the smaller number, the number in the parentheses should be divisible by the smaller number. | $(44+82), 4$ | TAL-SCQ5K | Which of the following number pairs do not contain any divisible relationship?
$(12+78), 2$
$(39+61), 3$
$(44+82), 4$
$(25+5100), 5$ |
因为$$0.\underbrace{00000025}_{8位}\times 0.\underbrace{000004}_{6位}=0.\underbrace{000000000001}_{12位}$$， 故小数部分有$$11$$个$$0$$， 故答案是：$$\text{D}$$． | D | TAL-SCQ5K | $$0.00000025\times 0.000004$$的结果的小数部分有个$$0$$．
A) $$14$$
B) $$13$$
C) $$12$$
D) $$11$$ |
A false tooth popping out at a restaurant is really embarrassing and inconvenient and so someone being glad about it happening is really strange. | No | FLUTE | Context: I was eating at this really fancy restaurant and then my false tooth came out while I was biting into the bread.
Hypothesis: I was at this really swanky restaurant and I am so glad my false tooth popped out while I was eating the bread.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Dealing with lice is a very unpleasant experience and most people would not consider it to be a joyful experience. | No | FLUTE | Consider the staetement "I had to deal with a lady and her 2 daughters that had lice". Based on this statement, is "I had to endure the joy of dealing with a lady and her 2 daughters that had lice" a true statement? Yes/no/unknown |
A beehive is a structure where many bees live together and produce honey, so it would be strange to say that a castle is like a beehive if it is empty | No | FLUTE | Consider the staetement "They said that the castle had been empty lately.". Based on this statement, is "They said that lately the castle was like a beehive." a true statement? Yes/no/unknown |
It's very frustrating when people do not clean up after themselves and it often leads to arguments and a feeling of anger | Yes | FLUTE | Context: My roommate will not clean anything.
Hypothesis: I'm so mad that my roommate will not clean anything and it's always such a mess
Given this context, is the hypothesis true (Yes/No/I don't know)? |
Twice as many blue beads as purple beads in the necklace are 2*7 = 14 beads.
Sue also has 11 more green beads than blue beads, a total of 14+11 = 25 beads.
The necklace has 7 purple + 14 blue + 25 green = 46 beads. | 46 | gsm8k | All of the beads in Sue's necklace are either purple, blue, or green. If Sue has 7 purple beads, twice as many blue beads as purple beads, and 11 more green beads than blue beads, how many beads are in the necklace? |
从第$$1$$个盘子里拿$$1$$个梨到第$$2$$个盘子里，但是梨的总数量不变，还是$$14+35=49$$（个）． | C | TAL-SCQ5K | 第一个筐里有$$14$$个梨，第二个筐里有$$35$$个梨，从第一个筐里拿$$1$$个放到第二个筐里，现在一共有多少个梨?
A: $$47$$
B: $$48$$
C: $$49$$
D: $$50$$ |
Ham and pineapple are not two ingredients that go well together and so the brother's decision to order a pizza with that combination was not a wise one. | False | FLUTE | Context: "My brother ordered a pizza with ham and pineapple on it and it was so gross."
Hypothesis: My brother's decision to order a pizza with ham and pineapple on it was pretty appetizing.
Based on the context, is the hypothesis true, false, or unknown? |
Jack Dempsey died in 1983. The current WBC heavyweight champion is Tyson Fury. Tyson Fury was born in 1988. | No | strategyqa | Did Jack Dempsey fight the current WBC heavyweight champion? |
The percent decrease is (the amount of decrease)/(original amount) the amount of decrease is $41-7=34$ so the percent decrease is $\frac{34}{41}$ which is about $(\mathbf{E}) 80 \textbackslash\%$ | (5) | TAL-SCQ5K | The average cost of a long-distance call in the USA in 1985 was 41 cents per minute, and the average cost of a long-distance call in the USA in 2005 was 7 cents per minute. Find the approximate percent decrease in the cost per minute of a long- distance call. (2007 AMC 8, Question \#6)
Options:
(1) $$7$$
(2) $$17$$
(3) $$34$$
(4) $$41$$
(5) $$80$$ |
Wedding cakes often have very thin layers, and are tall and slender, not low | Yes | FLUTE | Context: She was wearing sandals with thick soles and low heels.
Hypothesis: Her sandals had crepe-thin soles and heels like a wedding cake.
Is the hypothesis incorrect? (Yes, no, or unknown)? |
First find the total number of blueberries Mason has: 200 blueberries/carton * 3 cartons = 600 blueberries
Then divide the total number of blueberries by the number of blueberries per muffin: 600 blueberries / 10 blueberries/muffin = 60 muffins
Then add that number of muffins to the number of cinnamon muffins to find the total number of muffins: 60 muffins + 60 muffins = 120 muffins
Then divide the number of blueberry muffins by the total number of muffins and multiply by 100% to express the answer as a percentage: 60 muffins / 120 muffins * 100% = 50% | 50 | gsm8k | Mason has 3 cartons of 200 blueberries. He makes as many muffins as he can with 10 blueberries per muffin. Then he makes 60 cinnamon muffins. What percentage of all the muffins he made have blueberries? |
$$36=2\times 3\times 6$$，$$\text{A}_{3}^{3}=6$$，有$$6$$种 $$36=3\times 3\times 4$$，有$$3$$种 $$36=1\times 6\times 6$$，有$$3$$种 共$$6+3+3=12$$种不同的得分，最多有$$12$$人． | $$12$$ | TAL-SCQ5K | 国际数学奥林匹克每天考$$3$$道题，每题的评分是$$0$$，$$1$$，$$2$$，$$3$$，$$4$$，$$5$$，$$6$$或$$7$$．有一群学生每人得分的乘积都是$$36$$，而且任意两人各题得分不完全相同，那么这群学生最多有人．
$$16$$
$$14$$
$$12$$
$$10$$ |
They need 36 slices because 3 x 12 = 36
After ordering the small, they need 28 slices because 36 -8 = 28
They need 2 large pizzas because 28 / 14 = 2 | 2 | gsm8k | Ben has two brothers. They can each eat 12 slices of pizza. They are ordering pizza for the night and want to make sure they get enough. The large pizzas have 14 slices and the small pizzas have 8. If they order 1 small pizza, how many large pizzas do they need to order? |
Sea level rises if an increase in seafloor spreading rate buoys up the ocean crust, causing the ocean basin to become smaller. | 1 | quartz | As the sea spreads and rises up it causes sea levels to do what?
Options:
1: rise
2: drop |
The farther the object is stretched or compressed, the greater its elastic potential energy is. | a | quartz | If Mona is playing with a rubber band and she decides to stretch it out very far, what happens to the elastic potential energy of the rubber band?
a) increases
b) decreases |
Leah spent 28 / 7 = $4 on a milkshake.
She had 28 - 4 = $24 left.
She put half in her savings account and half in her wallet, so she had 24 / 2 = $12 in her wallet.
Her dog shredded all the money in her wallet but $1, so Leah lost 12 - 1 = $11. | 11 | gsm8k | Leah earned $28 working odd jobs around the neighborhood. She spent a seventh of it on a milkshake and put half of the rest in her savings account. She left the remaining money in her wallet. Her dog got ahold of her wallet and shredded all the money inside but $1. How many dollars did Leah lose? |
Carter can make 6 + 5 + 8 = 19 cakes regularly for a week.
For this week, he made 6 x 3 = 18 cheesecakes.
He made 5 x 3 = 15 muffins.
And also made 8 x 3 = 24 red velvet cakes.
Carter was able to make 18 + 15 + 24 = 57 cakes for this week.
Therefore, Carter was able to make 57 - 19 = 38 more cakes for this week. | 38 | gsm8k | Carter usually bakes 6 cheesecakes, 5 muffins, and 8 red velvet cakes regularly for a week. For this week he was able to bake triple the number of cheesecakes, muffins, chocolate moist cakes, and red velvet cakes. How much more cakes was Carter able to bake for this week? |
There are 3 families with 3 children = 3 x 3=9. If there are 2 twin boys, 2 x 2 = 4, 0-4=5. | (d) | TAL-SCQ5K | THere are 3 families in my neighbourhood with three children each; two of the families have twins. All twins are boys. At most how many girls are in these families?
Options:
(a) $$2$$
(b) $$3$$
(c) $$4$$
(d) $$5$$
(e) $$6$$ |
A large bonus at work is a great thing to receive, so someone being pleasantly surprised to only receive a small amount instead is not something to be happy about. | False | FLUTE | Context: "I was expecting to get a large bonus at work today but actually received next to nothing!" Claim: "I was really looking forward to getting a large bonus at work today and instead was pleasantly surprised to receive next to nothing!"
Considering the context, is the claim true, false, or unknown? |
Shorter wavelengths (higher frequencies) correspond to higher energies and thus hotter star temperatures. | A | quartz | If Milo increases the frequency on his shortwave radio, it does what to the amount of energy the radio is producing?
A: increases
B: decreases |
Less massive objects also have less gravity than more massive objects. | 2 | quartz | Mary was comparing the size of two objects. If she examined an orange and compared it with a watermelon, which would generate more gravity?
1: orange
2: watermelon |
Gaining weight often leads to people feeling disappointed in themselves because they did not stick to their goals or maybe let their health deteriorate | Yes | FLUTE | Context: I recently noticed how much weight I gained over the past year and I just feel like I really let myself down.
Hypothesis: I am not happy about the amount of weight I gained over the past year and feel like I let myself down
Given this context, is the hypothesis true (Yes/No/I don't know)? |
不等式$$\left\textbar{} x+1 \right\textbar\textgreater2$$的解集为$$x\textless{}-3$$或$$x\textgreater1$$． $$\left\textbar{} x \right\textbar\leqslant a$$（$$a\geqslant 0$$）的解集为$$-a\leqslant x\leqslant a$$． ∵两不等式的解集没有公共部分， ∴$$a\leqslant 1$$， ∴$$0\leqslant a\leqslant 1$$． | (1) | TAL-SCQ5K | 已知不等式$$\left\textbar{} x+1 \right\textbar\textgreater2$$与不等式$$\left\textbar{} x \right\textbar\leqslant a$$（$$a\geqslant 0$$）的解集没有公共部分，那么$$a$$的取值范围是（~ ）．
Options:
(1) $$0\leqslant a\leqslant 1$$
(2) $$1\leqslant a\leqslant 2$$
(3) $$0\leqslant a\leqslant 2$$
(4) $$a\geqslant 1$$ |
Trash:400/2=200
400-200=200 remaining
Work:200(.40)=80
200-80=120 remaining | 120 | gsm8k | Steve has 400 new emails in his inbox. He moves half of them to the trash, and 40 percent of the remaining emails to his work folder. How many emails are left in the inbox? |
若``心有灵犀''，则当$$a=1$$时，$$b=1$$或$$b=2$$； 当$$a=2$$时，$$b=1$$或$$b=2$$或$$b=3$$；当$$a=3$$时，$$b=2$$或$$b=3$$或$$b=4$$； 当$$a=4$$时，$$b=3$$或$$b=4$$或$$b=5$$；当$$a=5$$时，$$b=4$$或$$b=5$$或$$b=6$$； 当$$a=6$$时，$$b=5$$或$$b=6$$，即有$$16$$种满足题意的结果，∴$$P=\frac{16}{36}=\frac{4}{9}$$． | $$\frac{4}{9}$$ | TAL-SCQ5K | 甲、乙两人玩猜数字游戏，先由甲心中想一个数字，记为$$a$$，再由乙猜甲刚才想到的数字，把乙猜的数字记为$$b$$，且$$a$$、$$b\in {1,2,\ldots ,6 }$$． 若$$\left\textbar{} a-b \right\textbar\leqslant 1$$，则称甲、乙``心有灵犀''． 现任意找两个人玩这个游戏，得出他们``心有灵犀''的概率为（~ ）．
Options:
$$\frac{1}{9}$$
$$\frac{2}{9}$$
$$\frac{7}{18}$$
$$\frac{4}{9}$$ |
A woolly mammoth stuck in an infinitely deep tar pit means as if it were stuck in something viscous and gluey, and would not be able to move. | Yes | FLUTE | Context: It was if she were stuck in something viscous and gluey, but she was still pushing as hard as she could.
Hypothesis: She was still pushing as hard as she could, but it was as if she were like a woolly mammoth caught in an infinitely deep tar pit.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
A sonnet is a fourteen line poem that follows certain rhyme schemes. Jabberwocky is an 1871 poem by Lewis Carroll. Jabberwocky is a 28 line poem that uses nonsense words. | No | strategyqa | Can Jabberwocky be considered a sonnet? |
Dalton watched 7 – 2 = 5 more movies.
Hunter watched 12 – 2 = 10 more movies.
Alex watched 15 – 2 = 13 more movies.
Altogether, they watched 2 + 5 + 10 + 13 = 30 different movies. | 30 | gsm8k | Dalton, Hunter, and Alex started a Superhero Fan Club. They set a goal to watch as many Superhero movies as they could in one summer. Dalton watched 7 movies, Hunter watched 12, and Alex watched 15. They all watched 2 movies together, but every other movie they watched was different. How many different movies did they see? |
We could evaluate directly: \begin{align*}
[ a-(b-c) ] - [(a-b) - c ] &= [17 - (21-5)] - [(17-21)-5]\\
&= [17-16] - [-4-5]\\
&= 1 - (-9) = 10.
\end{align*}
We also could have simplified the expression first: \begin{align*}
[ a-(b-c) ] - [(a-b) - c ] &= [a-b+c] - [a-b-c]\\
&=a-b+c -a+b+c\\
&=2c.
\end{align*} Then, we have $2c = 2(5) = 10$. | $10$ | competition-math | What is the value of the expression $[ a-(b-c) ] - [(a-b) - c ]$ when $a = 17$, $b=21$ and $c=5$? |
To nail it means to succeed at something, but the speaker was trying to do the opposite by giving up on it. | No | FLUTE | Context: I was stupid to think I could successfully give up it in two days.
Hypothesis: I was dumb to think I could nail it in two days.
Given this context, is the hypothesis true (Yes/No/I don't know)? |
If there are more greenhouse gases in the atmosphere, more ultraviolet radiation will be trapped and the Earth will heat up. | B | quartz | If greenhouse gases in the atmosphere were to be doubled, Earth will become
A. cooler
B. warmer |
If a company goes out of business the employees often lose their jobs and are left without any income which can be devastating | Yes | FLUTE | Consider the statement "I just found out the small company I work for is going out of business.". Based on this "Just found out the small company I work for is going out of business and leaving me dry" a true statement? Yes, no, or I don't know? |
The prime digits are $$2$$, $$3$$, $$5$$ and $$7$$. So the largest two-digit integer whose digits are both prime is $$77$$. However, $$77$$ is not prime, nor is $$75$$, but $$73$$ is prime. So Andy writes down $$73$$. The smallest three-digit integer whose digits are both prime is $$222$$. However, $$222$$ is not prime, but $$223$$ is prime. So Baker writes down $$223$$. Therefore the answer which Carl obtains is $$73 +223 = 296$$. | E | TAL-SCQ5K | Andy writes down the largest two-digit prime such that each of its digits is prime. Baker writes down the smallest three-digit prime such that each of its digits is prime. Carl adds Andy\textquotesingle s number and Baker\textquotesingle s number. What answer does Carl obtain? ．
A. $$174 $$
B. $$185 $$
C. $$198 $$
D. $$209 $$
E. $$296$$ |
$$(8x)^{2}+2\cdot(8x)\cdot2+2^{2}=8^{2}x^{2}+32x+4=8^{2}10^{2}+32\times10+4=6724$$. | a | TAL-SCQ5K | If $$x=10$$, what is the value of $$(8x+2)^{2}$$?
a) $$6724$$
b) $$6402$$
c) $$6416$$
d) $$6714$$ |
B | (b) | TAL-SCQ5K | What is the $5^{}\text{th}$ number in the $21^{}\text{st}$ row?
(a) $$210$$
(b) $$215$$
(c) $$231$$
(d) $$236$$ |
The ten numbers are: $1(2^{0}), 2^{1}, \frac1{2^{1}}, 2^{2}, \frac1{2^{3}}, 2^{5} \frac1{2^{8}}\cdots$ Thus the tenth exponent is $34$. | $$2^{34}$$ | TAL-SCQ5K | The first student wrote the number $1$ on the board, the second student wrote the number $2$, and the third one and each of the following students wrote a number that was the quotient of the number written just before the last number and the last number. What did the tenth student write?
Options:
- $\frac1{2^{10}}$
- $$256$$
- $\frac1{2^{13}}$
- $$1024$$
- $$2^{34}$$ |
After Jeff comes by, Tim has 22-6=16 cans left.
Tim buys 16/2=8 more cans.
Tim has 16+8=24 cans in the end. | 24 | gsm8k | Tim has 22 cans of soda. Jeff comes by, and takes 6 cans of soda from Tim. Tim then goes and buys another half the amount of soda cans he had left. How many cans of soda does Tim have in the end? |
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