rationale
stringlengths 0
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|---|---|---|---|
When a candle twirled, it is flickering whereas when the flame appears to be stagnated is stands still.
|
Yes
|
FLUTE
|
Consider the statement "The candle flame was stagnated.". Is the statement "The candle flame twirled in the dark." false? Yes/no/unknown
|
$$13-7=6$$
|
$$6$$\textsuperscript{th}
|
TAL-SCQ5K
|
As a Grade 1 student, Jenny saw thirteen seats in a row in the class, and she didn\textquotesingle t know which one belonged to her. The teacher told her that there were seven students behind her seat. So which seat should she sit?(Adapted from 2015 Math Kangaroo Problem, Level 1-2, Question \#18) ~\hspace{0pt}\hspace{0pt}\hspace{0pt}\hspace{0pt}
- $$5$$\textsuperscript{th}
- $$6$$\textsuperscript{th}
- $$7$$\textsuperscript{th}
- $$8$$\textsuperscript{th}
- $$9$$\textsuperscript{th}
|
Each room can fit 2*2 + 1 = 5 students.
Thus, the principal needs to book 30/5 = 6 rooms to fit everyone.
|
6
|
gsm8k
|
A school principal is booking hotel rooms for a class of 30 students to stay at during an overnight field trip. Each of the hotel's rooms has two queen size beds, which can fit two students each, and a pull-out couch, which can fit one student. How many rooms does the principal need to book to fit all of the students in the class?
|
$$240\div16=15\text{kg}$$
|
$$15$$ $$\text{kg}$$
|
TAL-SCQ5K
|
$$2$$ beds and $$4$$ chairs have a total mass of $$240$$$$\text{kg}$$. $$1$$ bed weighs as much as $$6$$ chairs. Find the mass of $$1$$ chair.
* $$12$$ $$\text{kg}$$
* $$15$$ $$\text{kg}$$
* $$24$$ $$\text{kg}$$
* $$30$$ $$\text{kg}$$
|
They need to buy 180/30=6 boxes
So the cost is 6*40=$240
|
240
|
gsm8k
|
A convenience store sells 180 gallons of soda a week. They buy syrup boxes that can make 30 gallons of soda, and each box costs $40. How much do they pay for syrup a week?
|
First find how many burrs are caught in the dog's fur: 12 burrs * 6 ticks/burr = 72 ticks
Then add the number of burrs to find the total number objects: 72 objects + 12 objects = 84 objects
|
84
|
gsm8k
|
Andrew's dog has 12 burrs and six times as many ticks as burrs. How many foreign objects total are caught in the dog's fur?
|
To join the club means to share a common experience, but in this context, Sara is saying that she doesn't share the same experience.
|
No
|
FLUTE
|
Given the statement "I can't understand your pain because I don't share the same experience, Sara said, eying Slink and his friends.", is the statement "join the club, sara said, eying slink and his friends." is true?
- Yes
- No
- I don't know
|
Citrus can withstand short periods down to as cold as −10 °C (14 °F), but realistically temperatures not falling below −2 °C (28 °F) are required for successful cultivation. Ulaanbaatar has an average annual temperature of −0.4 °C or 31.3 °F.
|
No
|
strategyqa
|
Can citrus grow in Ulaanbaatar?
|
The more similar the DNA molecules of different species are, the closer the relationship is likely to be.
|
[2]
|
quartz
|
Two species with dissimilar DNA should have a _____ relationship.
Options:
[1] close
[2] distant
|
An air conditioner with a broken thermostat blows erratically and not consistently since it cannot correctly read the temperature
|
No
|
FLUTE
|
Context: Really, the man blew consistently.
Hypothesis: Really, the man blew like an air conditioner with a broken thermostat.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
|
Green Party of England Wales isn't registered in the USA. People who live in England can't vote in the USA.
|
No
|
strategyqa
|
Can members of the Green Party of England and Wales vote in the USA?
|
He has 2+1=3 umbrellas
That means he paid 3*8=$24
|
24
|
gsm8k
|
John has 2 umbrellas in his house and 1 in the car. If they cost $8 each, how much did he pay in total?
|
The car drives 180 miles in 4 hours, so its average speed is 180 miles / 4 hours = 45 miles per hour.
In the next 3 hours, the car will drive 45 miles/hour * 3 hours = 135 miles.
|
135
|
gsm8k
|
A car driving cross-country traveled 180 miles in 4 hours. At this rate of speed, how many miles further will the car travel in the next 3 hours?
|
During the heavy rain, the tank collects 2 * 90 = 180 L of water
The tank has a total of 100 + 180 = 280 L of water
|
280
|
gsm8k
|
Rory collects rainwater. He has 100 L of rainwater in his tank. During a heavy rainstorm, water flows into the tank at a rate of 2 L/min for 90 minutes. How much water is in the tank at the end of the heavy rain?
|
Since 32 is a power of 2, its only factors are the powers of 2 less than or equal to it. These are 1, 2, 4, 8, 16, and 32, so there are $6$ positive factors of 32.
|
$6$
|
competition-math
|
How many distinct positive factors does 32 have?
|
Parents often worry when their children don't come home on time or answer their phone calls and so not being worried in such a situation would be abnormal.
|
No
|
FLUTE
|
Consider the statement "I was pretty shaken up when my son didn't get home on time and I couldn't reach him". Based on this "I was absolutely calm and composed when my son didn't come home on time and I couldn't reach him on the phone." a true statement? Yes, no, or I don't know?
|
No one wants their favorite team to lose and so it cannot be an euphoric feeling.
|
No
|
FLUTE
|
Context: I was really pulling for England during the world cup but they lost.
Hypothesis: I was rooting for England during the world cup and their loss makes me euphoric
Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
|
10 ladders with 50 rungs have a total of 10*50=500 rungs.
20 ladders with 60 rungs have a total of 20*60=1200 rungs.
In total there are 1200+500=1700 rungs.
The client must pay 2*1700=$3400.
|
3,400
|
gsm8k
|
Jacob is building ladders. One of his clients needs 10 ladders with 50 rungs, and 20 ladders with 60 rungs. Jacob has to charge $2 for every rung. How much does the client have to pay for the ladders?
|
Since $\sin N = \frac{2}{3}$ and $\sin N = \frac{LM}{LN}=\frac{16}{LN}$, we have $\frac{16}{LN} = \frac{2}{3}$, so $LN = \frac{16}{\frac{2}{3}} = 24$.
|
$24$
|
competition-math
|
Suppose $\sin N = \frac{2}{3}$ in the diagram below. What is $LN$?
[asy]
pair L,M,N;
M = (0,0);
N = (17.89,0);
L = (0,16);
draw(L--M--N--L);
draw(rightanglemark(L,M,N,18));
label("$M$",M,SW);
label("$N$",N,SE);
label("$L$",L,NE);
label("$16$",L/2,W);
[/asy]
|
A coiled spring is tightly wound and ready to release its energy, so saying someone is like a coiled spring implies that they are not relaxed
|
False
|
FLUTE
|
Context: "Even though her face was calm, she seemed relaxed." Claim: "Her face was calm but she seemed like a coiled spring ."
Considering the context, is the claim true, false, or unknown?
|
If she buys 1 toy at $12.00 she gets the 2nd toy 1/2 off, the 2nd toy is 12*.5 = $6.00
1 full-priced toy is $12.00 and 1/2 priced toy is $6.00 so these 2 toys come to 12+6 = $18.00
She buys 2 more toys that are "buy one get one 1/2 off" so all total she spends 2*18 = $36.00
|
36
|
gsm8k
|
The dog toys Samantha buys for her dog are "buy one get one half off" and all cost $12.00 each. She buys 4 toys. How much does she spend on dog toys?
|
Writing out the full year uses 4 numbers so this takes 4 numbers * 6 fireworks per number = 24 fireworks.
“HAPPY NEW YEAR” contains 12 letters so this takes 12 letters * 5 fireworks per letter = 60 fireworks.
There is therefore a total of 24 + 60 = 84 fireworks lit at the start of the display.
From the boxes, they lit another 50 boxes * 8 fireworks per box = 400 fireworks.
So in total, the whole display uses 84 + 400 = 484 fireworks.
|
484
|
gsm8k
|
A town is holding a fireworks display for New Year’s Eve. They light enough fireworks to show the full year then light enough fireworks to write “HAPPY NEW YEAR” in the sky. They then light another 50 boxes of fireworks as part of the display. Each box of fireworks contains 8 fireworks. If it takes 6 fireworks to display a number and 5 fireworks to display a letter, how many fireworks are lit during the display?
|
显然$$m\textless{}0$$，所以$$f\left( x+m \right)\textless{}-mf\left( x \right)=f\left( \sqrt{-m}x \right)$$． 因为$$f\left( x \right)$$是单调增的奇函数，所以$$x+m\textless{}\sqrt{-m}x$$，即$$\left( \sqrt{-m}-1 \right)x\textgreater m$$． 所以必须$$\sqrt{-m}-1\geqslant 0$$，$$m\leqslant -1$$．
|
b
|
TAL-SCQ5K
|
已知$$f(x)=x\left\textbar{} x \right\textbar$$，若对任意的$$x\geqslant 1$$有$$f(x+m)+mf(x)\textless{}0$$恒成立，则实数$$m$$的取值范围是．
Options:
a) $$(-\infty ,-1)$$
b) $$(-\infty ,-1]$$
c) $$(-\infty ,-2)$$
d) $$(-\infty ,-2]$$
|
To go begging means to be available for one to take or claim, but in this sentence they are not asking for cooperation.
|
Yes
|
FLUTE
|
Context: Lets confirm that fact before we don't ask for cooperation.
Hypothesis: Lets confirm that fact before we go begging for cooperation.
Is the hypothesis incorrect? (Yes, no, or unknown)?
|
$$2014\times400 = 805600$$; the hundreds digit is $$6$$.
|
C
|
TAL-SCQ5K
|
The hundreds digit of the product $$2014\times400$$ is．
A: $$0$$
B: $$5$$
C: $$6$$
D: $$8$$
|
If we increase the resistance in a series circuit, by adding more resistors, then the total current decreases.
|
2
|
quartz
|
Mona is an electrical engineer designing a new circuit. If she increases the total number of resistors in her new circuit, what happens to the total current of the circuit?
1: increase
2: decrease
|
A hurricane is a really destructive natural disaster that often leaves people homeless and in need of help, so it cannot be a good thing that pleases people.
|
Yes
|
FLUTE
|
Context: The summer hurricane violently ripped through my neighborhood and destroyed everything in its path.
Hypothesis: Pleased with how the summer hurricane gifted my neighborhood with a lot of destruction ruining everything in its path
Is the hypothesis incorrect? (Yes, no, or unknown)?
|
Getting a bad grade on a test is not something that would make someone feel like a genius because it indicates a lack of intelligence.
|
False
|
FLUTE
|
Context: "I got the worst mark back on my science test."
Hypothesis: I feel like a total genius for getting a reeally bad grade back on my science test.
Based on the context, is the hypothesis true, false, or unknown?
|
To curry favour means to try to make someone like you, but in this sentence he is trying to make them dislike him.
|
No
|
FLUTE
|
Context: His colleagues didn't come to his aid because he hadnt gone out of his way to make them dislike him and put them off.
Hypothesis: His colleagues didn't come to his aid because he hadnt gone out of his way to curry favour with them.
Given this context, is the hypothesis true (Yes/No/I don't know)?
|
[asy]
pair B,C,D;
B = (0,0);
C = (2,0);
D = (2,-3);
draw(B--C--D--B);
draw(rightanglemark(B,C,D,7));
label("$D$",D,SE);
label("$B$",B,NW);
label("$C$",C,NE);
label("$3$",(C+D)/2,E);
label("$\sqrt{13}$",(B+D)/2,SW);
[/asy]
Because $\triangle BCD$ is a right triangle, we know that $\tan B = \frac{CD}{BC}$.
By the Pythagorean Theorem, $BC = \sqrt{BD^2 - CD^2} = \sqrt{13 - 9} = \sqrt{4} = 2$.
Then $\tan B = \frac{CD}{BC} = \frac{3{2}}$.
|
$\frac{3$
|
competition-math
|
In triangle $BCD$, $\angle C = 90^\circ$, $CD = 3$, and $BD = \sqrt{13}$. What is $\tan B$?
|
$91\times5-(100+99+98+97)=61$.
|
$$61$$
|
TAL-SCQ5K
|
A test is with a full score of $100$ points. Five students in a group wants to reach an average of $91$ points. If everyone scores a different whole number, the lowest score among them could be~\uline{~~~~~~~~~~}~.
$$60$$
$$61$$
$$67$$
$$70$$
$$71$$
|
Palaeography involves the study of ancient writings. Paleography has helped decode Anatolian hieroglyphics from all the way back as the first millenia BC. Author H.P. Lovecraft's Cthulhu is an ancient mystical being from eons ago.
|
Yes
|
strategyqa
|
Paleography hypothetically helps to understand Cthulhu?
|
Most people would not want to be with someone who only spends their time playing video games and not hanging out with them, so feeling appreciated because of that is not genuine.
|
No
|
FLUTE
|
Context: All my boyfriend does is play video games 24/7.
Hypothesis: It fills me with so much joy when my boyfriend ONLY plays video games all day and never hangs out with me.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
|
Single dog is $20 + (10 minutes * $1 per minute) = $30.
Two dogs are 2 * ($20 + (7 minutes * $1 per minute)) = $54
Three dogs are 3 * ($20 + (9 minutes * $1 per minute)) = $87
The total is $30 + $54 + $87 = $171.
|
171
|
gsm8k
|
Greg has his own dog walking business. He charges $20 per dog plus $1 per minute per dog for walking the dog. If he walks one dog for 10 minutes, two dogs for 7 minutes and three dogs for 9 minutes, how much money, in dollars, does he earn?
|
On August 20th, The Tonight Show Starring Jimmy Fallon airs at 11:35PM. On August 20th, the moon on the east coast of the USA will set around 9PM.
|
Yes
|
strategyqa
|
On August 20, 2020, does The Tonight Show Starring Jimmy Fallon air after moonset EST?
|
A billiard ball is shiny, so saying someone's head is like a billiard ball would imply that it is shiny, not dull
|
No
|
FLUTE
|
Given the statement "His skin was very white and he had that hideous disease of no hair-no eyebrows and no eyelashes, and none on a head that was dull.", is the statement "His skin was very white and he had that hideous disease of no hair-no eyebrows and no eyelashes, and none on a head that was like a billiard ball." is true?
- Yes
- No
- I don't know
|
She gets 1000/25=40 sections
She gives away 40/4=10 sections
So she keeps 40-10=30 sections
She keeps 30/2=15 sections on hand
|
15
|
gsm8k
|
Jan buys 1000 feet of cable. She splits it up into 25-foot sections. She gives 1/4 of that to a friend. She then puts half of the rest in storage. How much does she keep on hand?
|
原式$$=10001\times \left( 3333+6666 \right)=10001\times 9999=99999999$$
|
3
|
TAL-SCQ5K
|
计算$$10001\times 3333+10001\times 6666=$$( ).
1) 999999
2) 9999999
3) 99999999
4) 999999999
|
Shadowed means that my personal feelings influenced or had an impact on my judgment in this case.
|
Yes
|
FLUTE
|
Context: My personal feelings influenced my judgment in this case.
Hypothesis: My personal feelings shadowed my judgment in this case.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
|
Heart failure or disease can lead to the legs becoming red or pink in color. Anorexia Nervosa can lead to heart failure and death.
|
Yes
|
strategyqa
|
Are red legs a sign of failing health in those with Anorexia Nervosa?
|
某人跑步，每分钟$$300$$米，$$3$$小时跑完．假设他提速到每分钟$$360$$米，跑完全程比之前节省几分钟？ $$300\times 180\div 360=150$$分钟，$$180-150=30$$分钟．
|
$$30$$
|
TAL-SCQ5K
|
(2016 Math League, Grade3） Running Man is running a certain distance at a constant speed of $$300$$m/min and can finish the entire distance in $$3$$ hours. If he ran at a constant speed of $$360$$m/min, how many minutes less would it take him to run this distance? Running Man是以$300$ m/min的恒定速度跑完一段距离，可以在$3$小时内跑完全程$$.$$ 如果以以$360$ m/min的恒定速度跑完这段距离会少花多少分钟?
Options:
$$30$$
$$150$$
$$180$$
$$360$$
|
We can perform this addition concisely in columns, though we have to "carry" a digit to the leftmost column because $3+8=11,$ which is greater than $10:$ \[
\begin{array}{@{}c@{\;}c@{}c@{}c@{}c}
& 1 & & \\
& 4. & 3 & \\
+ & 3. & 8 & 8
\\ \cline{1-4}
& 8. & 1 & 8 \\
\end{array}
\] The answer is $8.18$.
|
$8.18$
|
competition-math
|
Write $4.3+3.88$ as a decimal.
|
Checking the primes 2, 3, and 5 as potential divisors, we see that there are $2$ prime numbers between 20 and 30: 23 and 29.
|
$2$
|
competition-math
|
How many prime numbers are between 20 and 30?
|
Menthol is the main component of peppermint oil and is responsible for the noticeable cooling sensation. During Thanksgiving, turkey, potatoes, gravy, and pie are common dishes. None of which have menthol in it.
|
No
|
strategyqa
|
Is Menthol associated with Thanksgiving?
|
omitted
|
4
|
TAL-SCQ5K
|
How many zeros does the number $$12^{2}\times15^{3}$$ end with?
1) $$6$$
2) $$12$$
3) $$5$$
4) $$3$$
5) $$1$$
|
A ballet dancer is known for their grace and fluidity, so the simile is emphasizing those qualities in the subject.
|
Yes
|
FLUTE
|
Consider the statement "She glided to him, gracefully". Based on this "She glided to him, like a ballet dancer." a true statement? Yes, no, or I don't know?
|
We have a $2$ dice with $2$ evens and $4$ odds on both dice. For the sum to be even, the $2$ rolls can be $2$ odds or $2$ evens. Ways to roll $2$ odds: The total number of ways to obtain $2$ odds on $2$ rolls is $4 * 4=16$, as there are $4$ possible odds on the first roll and $4$ possible odds on the second roll. Ways to roll $2$ evens: Similarly, we have $2 * 2=4$ ways to obtain $2$ evens. The probability is $\frac{20}{36}=\frac{5}{9}$.
|
$\dfrac{5}{9}$
|
TAL-SCQ5K
|
The faces of each of two fair dice are numbered $1$, $2$, $3$, $5$, $7$, and $8$. When the two dice are tossed, what is the probability that their sum will be an even number? (2019 AMC 8 Problems, Question \#18)
Options:
$\dfrac{4}{9}$
$\dfrac{1}{2}$
$\dfrac{5}{9}$
$\dfrac{3}{5}$
$\dfrac{2}{3}$
|
Most people would not enjoy their son getting in trouble with the law and being brought home by the police, so to say that you loved it is sarcastic.
|
Yes
|
FLUTE
|
Context: I was furious with my son on being brought home by the police last week for spray painting an abandoned building.
Hypothesis: I just loved when my son got brought home by the police for spray painting an abandoned building
Is the hypothesis incorrect? (Yes, no, or unknown)?
|
One dozen of flowers is equal to 1 x 12 = 12 flowers.
There are 12 - 2 = 10 flowers that are not daisies.
So, 10 x 3/5 = 6 of the flowers are tulips.
Therefore, there are 10 - 6 = 4 sunflowers.
|
4
|
gsm8k
|
Rose bought her mother one dozen flowers. Two of the flowers are daisies. Three-fifths of the remaining flowers are tulips and the rest are sunflowers. How many sunflowers are there?
|
最值问题从极端情况出发，既是五位数又是$$2014$$的倍数，最小为$$10070$$；所以$$\overline{ABCDE}=2014\times k$$，且$$\overline{CDE}$$有$$16$$个因数，$$2014\times k=2014\times 5+2014\times n=10070+2014n$$，因此$$\overline{CDE}=70+14n$$．要求当$$\overline{CDE}$$有$$16$$个因数时，$$n$$的最小值是几，$$\overline{CDE}=14\left( n+5 \right)=2\times 7\times \left( n+5 \right)$$从小到大发现$$n=7$$时满足条件，此时$$\overline{CDE}={{2}^{3}}\times 3\times 7$$一共有$$16$$个因数，此时最小值为$$2014\times \left( 5+7 \right)=24168$$． 最值问题从极端情况出发，既是五位数又是$$2014$$的倍数，最小为$$10070$$； 约数个数逆应用，$$16=16=8\times 2=4\times 4=4\times 2\times 2=2\times 2\times 2\times 2$$，分解质因数后指数可能是（ $$15 $$），（$$7$$，$$1$$），（$$3$$，$$3$$），（$$3$$，$$1$$，$$1$$ ），（$$1$$，$$1$$，$$1$$，$$1$$ ）这几组． $$10070$$，$$70=2\times 5\times 7$$，舍 $$12084$$，$$84={{2}^{2}}\times 3\times 7$$，舍 $$14098$$，$$98={{2}^{{}}}\times {{7}^{2}}$$，舍 $$16112$$，$$112={{2}^{4}}\times 7$$，舍 $$18126$$，$$126=2\times {{3}^{2}}\times 7$$，舍 $$20140$$，$$140={{2}^{2}}\times 5\times 7$$，舍 $$22154$$，$$154=2\times 7\times 11$$，舍 $$24168$$，$$168={{2}^{3}}\times 3\times 7$$，符合 $$\overline{ABCDE}$$最小为$$24168$$．
|
d
|
TAL-SCQ5K
|
一个五位数$$\overline{ABCDE}$$是$$2014$$的倍数，并且$$\overline{CDE}$$恰好有$$16$$个因数，则$$\overline{ABCDE}$$的最小值是~\uline{~~~~~~~~~~}~．
Options:
a: $$10070$$
b: $$16112$$
c: $$22154$$
d: $$24168$$
|
After round one, she may have $0$ point, $1$ point, $2$points After two rounds, she may have $3$, $4$, $6$, $7$, $8$ points
|
1
|
TAL-SCQ5K
|
Susan participates a Math competition. In round one, she needs to solve $2$ problems. If she works out one problem successfully, she will get $1$ point. Otherwise, she will not lose any points. In round two, she also needs to solve $2$ problems. If she works out one problem successfully, she will get $3$ points. Otherwise, she will lose $1$ point. Which number of points is it impossible for her to have？
1. $$1$$
2. $$3$$
3. $$4$$
4. $$6$$
5. $$7$$
|
First find the total number of petunias: 4 flats * 8 petunias/flat = 32 petunias.
Then find the total number of roses: 3 flats * 6 roses/flat = 18 roses.
Now find how much fertilizer Seymour needs for the petunias: 32 petunias * 8 oz/petunia = 256 oz.
Now find how much fertilizer Seymour needs for the roses: 18 roses * 3 oz/rose = 54 oz
Now find how much fertilizer Seymour needs for the Venus flytraps: 2 Venus flytraps * 2 oz/Venus flytrap = 4 oz.
Now add up the fertilizer for all three plants: 256 oz + 54 oz + 4 oz = 314 oz.
|
314
|
gsm8k
|
Seymour runs a plant shop. He has 4 flats of petunias with 8 petunias per flat, 3 flats of roses with 6 roses per flat, and two Venus flytraps. Each petunia needs 8 ounces of fertilizer, each rose needs 3 ounces of fertilizer, and each Venus flytrap needs 2 ounces of fertilizer. How many ounces of fertilizer does Seymour need in total?
|
Storms can be really dangerous and destructive and so it is not normal to feel excited about one that is arriving, rather people would be worried and fearful
|
Yes
|
FLUTE
|
Given the statement "There's a bad storm coming in tonight.", is the statement "I am very excited about the impending storm that's supposed to arrive tonight" wrong?
- Yes
- No
- Unknown
|
由于相邻两层数量相差$$8$$，已知最内层有$$28$$个棋子 则 第二层棋子有：$$28+8=36$$（个）， 第三层棋子有：$$36+8=44$$（个）， 所以三层一共有$$28+36+44=108$$（个）． 故选：$$\text{B}$$．
|
B
|
TAL-SCQ5K
|
毛毛用围棋子摆成一个三层空心方阵，最内一层有围棋子$$28$$个．毛毛摆这个方阵共用围棋子~\uline{~~~~~~~~~~}~个。
Options:
A. $$96$$
B. $$108$$
C. $$120$$
D. $$132$$
|
The quality of each glass of water: $(700 - 300) \div (6 - 2) = 100$ g At first: $300 - 100 \times 2 = 100$ g
|
a
|
TAL-SCQ5K
|
There is some water in a bowl, which is on a electronic scales. Mike pours water into the bowl. After pouring $2$ glasses of water, the sacle shows $300$ grams. After pouring a total of $6$ glasses of water, the scale shows $700$ grams. What is the quality of the water at the start?
a) $$100$$ g
b) $$150$$ g
c) $$200$$ g
d) $$250$$ g
e) $$275$$ g
|
After I eat one half, half of the apple pie is left. Eating two thirds of this half leaves one third of one half of the pie, which is one sixth, for Monday.
|
E
|
TAL-SCQ5K
|
I ate half an apple pie on Saturday and two thirds of the remainder on Sunday. What fraction of the pie was left for Monday?
A: None
B: $$\frac{1}{2}$$
C: $$\frac{1}{3}$$
D: $$\frac{2}{3}$$
E: $$\frac{1}{6}$$
|
The phrase the boss exploded is a metaphor meaning that the boss was very angry after hearing the news of the secretary's resignation.
|
Yes
|
FLUTE
|
Context: The boss became outrageous when he heard of the resignation of the secretary.
Hypothesis: The boss exploded when he heard of the resignation of the secretary.
Given this context, is the hypothesis true (Yes/No/I don't know)?
|
$$26\div 5 = 5R1$$ Start from Tuesday, thus, it is Tuesday
|
Tuesday
|
TAL-SCQ5K
|
Cayden is drawing some words on a mural in his school. Everyday, he is only able to draw out one letter. He wants to draw: $$I$$ $$love$$ $$Mathematics$$ $$and$$ $$English$$ If he starts on a Tuesday, and during the weekend, he is not able to draw. When will he finish the drawing?
Monday
Tuesday
Wednesday
Thursday
Friday
|
Indian summer is a period of unseasonably warm weather in early fall, but this context describes them moving out of chilly weather instead
|
No
|
FLUTE
|
Context: They were finally moving out of the chilly weather in early fall and into the stormy season.
Hypothesis: They were finally moving out of the indian summer and into the stormy season.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
|
The person who hit the car and fled the scene is likely to be scared and the owner whose car was destroyed furious so the person will experience their wrath and not warmth
|
False
|
FLUTE
|
Context: "Someone hit my car and fled the scene and I wish I could find the person"
Hypothesis: If I ever find the lovely person who hit my car and fled the scene, they're going to have to experience my warmth.
Based on the context, is the hypothesis true, false, or unknown?
|
If $a◆b$~ represents$(a\times b)+b$ , $2◆3=(2\times3)+3=9$ . So the answer is $\rm B$.
|
B
|
TAL-SCQ5K
|
If $ a◆b$ means$(a\times b)+b$ , then $2◆3$ has the value．
Options:
A) $$12$$
B) $$9$$
C) $$8$$
D) $$6$$
|
Dog:9-3=6 lives
Mouse:6+7=13 lives
|
13
|
gsm8k
|
A cat has nine lives. A dog has 3 less lives than a cat. A mouse has 7 more lives than a dog. How many lives does a mouse have?
|
If Lucky Lacy missed $x$ out of $5x$ problems, then she must have gotten $5x-x=4x$ of them correct. Therefore, the percentage of problems that Lacy got correct is $\frac{4x}{5x}=\frac{4}{5}=\frac{80}{100}=80 \%$.
|
$80 \%$
|
competition-math
|
On an algebra test, there were $5x$ problems. Lucky Lacy missed $x$ of them. What percent of the problems did she get correct?
|
$$\sin \left( \frac{ \pi }{4}-x \right)=\frac{\sqrt{2}}{2}(\cos x-\sin x)=\frac{3}{5}$$，所以$$\cos x-\sin x=\frac{3\sqrt{2}}{5}$$， 所以$${{(\text{cos }x-\text{sin }x)}^{2}}=1-\sin 2x=\frac{18}{25}$$，所以$$\sin 2x=\frac{7}{25}$$，故选$$\text{D}$$．
|
$$\frac{7}{25}$$
|
TAL-SCQ5K
|
若$$\sin \left( \frac{ \pi }{4}-x \right)=\frac{3}{5}$$，则$$\sin 2x$$的值为（~ ）．
$$\frac{19}{25}$$
$$\frac{16}{25}$$
$$\frac{14}{25}$$
$$\frac{7}{25}$$
|
There are in total $30$ days in Nov. $1+2+3+4+\cdots+30=(1+30)\times30\div2=465$
|
c
|
TAL-SCQ5K
|
I read $1$ page of a book on Nov $1$, $2$ pages on Nov $2$, $3$ pages on Nov $3$, and so on. I followed this pattern for the whole month. Altogether, how many pages did I read in November?
a. $$30$$
b. $$31$$
c. $$465$$
d. $$496$$
|
If Genevieve had $1600 on her, and Clarice chipped in with $400, the total cost of the cherries was $1600+$400 = $2000
If the cherries cost $8 per kilogram, Genevieve bought $2000/$8 = 250 kilograms of cherry
|
250
|
gsm8k
|
Genevieve picked some cherries from the supermarket shelves that cost $8 per kilogram. When Genevieve reached the checkout counter, she realized she was $400 short of the total price and her friend Clarice chipped in. If Genevieve had $1600 on her, how many kilograms of cherries did she buy?
|
奇数$$\times 3$$只能是奇数．最容易做错的是选合数，反例：$$1\times 3=3$$，$$3$$不是合数．
|
3
|
TAL-SCQ5K
|
一个奇数乘$$3$$以后将会是 （~ ~ ）.
1. 质数
2. 合数
3. 奇数
4. 偶数
|
First cross-multiply to give both fractions the same denominator, then add the fractions: 1/3 + 1/4 = 4/12 + 3/12
Then add these fractions to find that she has 4/12 + 3/12 = 7 /12 of a bottle of shampoo left.
Then divide the total amount of shampoo she has by the amount she uses per day to find the number of days the shampoo will last: 7/12 / 1/12/day = 7 days
|
7
|
gsm8k
|
Janet has 1/3 of a bottle of rose shampoo and 1/4 of a bottle of jasmine shampoo. If she uses 1/12 of a bottle of shampoo per day, how many days will her shampoo last?
|
Objects with greater mass have a stronger force of gravity between them.
|
Small planet
|
quartz
|
An asteroid traveled equal distance between a small massed planet and a large massed planet and got caught by one of their gravitational pulls. Which one is less likely to have caught the asteroid?
Options:
- Small planet
- Large planet
|
To meet your match means to encounter someone who is equal to or better than you, as described in the context.
|
True
|
FLUTE
|
Context: "Get ready to encounter someone who is equal to or better than you in ability or skill."
Hypothesis: Get ready to meet your match.
Based on the context, is the hypothesis true, false, or unknown?
|
At higher elevations, there is less air to press on a given area.
|
(B)
|
quartz
|
Dane was on a mountaintop and struggled to breathe, so he rectified it by getting to an elevation that was
(A) higher
(B) lower
|
The solar cycle is measured by the year: the length of one orbit, as well as by day: the length of one of Earth's rotation about its axis. However, months are based on the lunar cycle, how the shadow of the Earth on the moon causes it to appear to grow and shrink and change shape over the course of four weeks.
|
No
|
strategyqa
|
Are months based on the solar cycle?
|
Most people would be terrified of finding a spider in their bathroom and in no way a beautiful surprise.
|
No
|
FLUTE
|
Given the statement "I found a spider in my bathroom and I've never ran so fast in my life!", is the statement "I found a beautiful surprise in my bathroom in the form of a spider and sprinted out of there faster than Usain Bolt!" is true?
- Yes
- No
- I don't know
|
The hotter a main sequence star is, the brighter it is.
|
[2]
|
quartz
|
A main sequence star that is very bright is not among the _____ stars
Options:
[1] hottest
[2] coolest
|
First find how many ml of water Jason needs for 1 gram of charcoal: 30 ml / 2 grams = 15 ml/g
Then divide the amount of water Jason uses by the amount of water per gram of charcoal to find how much charcoal he uses: 900 ml / 15 ml/g = 60 g
|
60
|
gsm8k
|
Jason is mixing a batch of black paint. He needs to add 2 grams of charcoal for every 30 ml of water. If he adds 900 ml of water, how much charcoal does he add?
|
To tread warily means to move cautiously or be on guard, while to step carelessly means to move recklessly or without caution.
|
False
|
FLUTE
|
Context: "Avon steps carelessly ."
Hypothesis: Avon treads warily .
Based on the context, is the hypothesis true, false, or unknown?
|
可发现$$13+11+16=40$$恰为三只小兔子总共拔的萝卜数之$$2$$倍，因此三只小兔子共拔了$$40\div 2=20$$根萝卜．故选$$\text{E}$$．
|
$$20$$
|
TAL-SCQ5K
|
有三只小兔子小白，小花和小黑在田里拔萝卜．已知小白和小花共拔了$$13$$根萝卜；小花和小黑共拔了$$11$$根萝卜；小黑和小白共拔了$$16$$根萝卜．请问这三只小兔子共拔了多少根萝卜？
Options:
$$10$$
$$11$$
$$15$$
$$16$$
$$20$$
|
在$$20100$$以内不能被$$2$$，$$3$$，$$5$$，$$7$$整除的数其实就是比$$20$$大的质数，只要理解了这一点，就可以直接得出答案．$$100$$以内有$$25$$质数，$$20$$以内有$$8$$个质数，$$258=17$$（个）．
|
$$18$$
|
TAL-SCQ5K
|
在$$20$$到$$100$$这$$100$$个正整数中，不能被$$2$$，$$3$$，$$5$$，$$7$$中任何一个数整除的数有（~ ）个．
$$16$$
$$17$$
$$18$$
$$19$$
|
Embracing kidness is used as a metaphor to provide some sort of acknowledgement that she was kind to us
|
Yes
|
FLUTE
|
Context: We must acknowledge the fact that she was kind to us.
Hypothesis: We must embrace the kindness she showed towards us.
Given this context, determine if the hypothesis is true (Yes, no, or unknown)?
|
To burn the midnight oil means to stay up late working, but this sentence describes going to bed early instead.
|
Yes
|
FLUTE
|
Consider the statement "I go to bed early, see?.". Is the statement "I burn the midnight oil, see?" false? Yes/no/unknown
|
The bull shark has the highest weight for weight bite of all cartilaginous fish at 5,914 newtons. Crocodile slam their jaws shut with 3,700 pounds per square inch (psi), or 16,460 newtons, of bite force.
|
No
|
strategyqa
|
Does bull shark bite hurt worse than crocodile bite?
|
To champ at the bit means to be ready and anxious to do something, but in this sentence she was neither of those things
|
False
|
FLUTE
|
Context: "She was not ready and not anxious to do something."
Hypothesis: She was champing at the bit.
Based on the context, is the hypothesis true, false, or unknown?
|
Amanda read 18/3 = 6 books.
Kara read 6/2 = 3 books.
Patricia read 7 x 3 = 21 books.
|
21
|
gsm8k
|
Candice read 3 times as many books as Amanda in their school's Book Tournament. Kara read half the number of books that Amanda read, and Patricia read 7 times the number of books that Kara read. If Candice read 18 books, how many books did Patricia read?
|
The Moscow Kremlin is a fortified complex in the middle of Moscow Russia. The Kremlin takes up sixty eight acres. Disney Land is an amusement park in California. Disney Land occupies eighty five acres.
|
Yes
|
strategyqa
|
Can the Moscow Kremlin fit inside Disney Land?
|
It is not a pleasant experience to have your garbage scattered around by animals because it makes the place look dirty and untidy.
|
No
|
FLUTE
|
Consider the staetement "I put my garbage out on garbage day and an hour later a bunch of raccoons had tore it up and it was everywhere.". Based on this statement, is "I was so happy to put my garbage out on the designated day but then an hour later I was blessed to witness a bunch of raccoons artistically rearranging it everywhere" a true statement? Yes/no/unknown
|
The metric system measures distance based on the meter unit. The foot is part of the American standard system of measurement.
|
No
|
strategyqa
|
Is the foot part of the metric system?
|
Mark has 60% 12 sided dice, so 60/100 * 10 dice in his bag = 6 12 sided dice.
James has 75% 12 sided dice, so 75/100 * 8 dice in his bag = 6 12 sided dice.
They will need to purchase 14 dice - 6 dice - 6 dice = 2 dice.
|
2
|
gsm8k
|
Mark and James need a total of 14 dice that are 12 sided to play their game. Mark has a bag of 10 dice and 60% of them are 12 sided. James has a bag of 8 dice and 75% of them are 12 sided. How many dice will the boys need to buy to play their game?
|
November has 30 days, December has 31 days, January has 31 days and February has 28 days for a total of 30+31+31+28 = 120 days
He burns 5 pieces of wood every day so 120*5 = 600 pieces of wood
Every tree he cuts down supplies 75 pieces of firewood and he will burn 600 pieces so he needs 600/75 = 8 trees
|
8
|
gsm8k
|
Every tree that Bart cuts down gives him 75 pieces of firewood. If he burns 5 logs a day from November 1 through February 28, how many trees will he need to cut down?
|
It is often seen as unfair when a younger sibling has a better job and makes more money than an older sibling because the older sibling is usually expected to be more successful
|
True
|
FLUTE
|
Context: "I can't believe my younger brother makes more money than I do."
Hypothesis: It's hard to swallow the fact that my younger brother has a better job than me and makes more money
Based on the context, is the hypothesis true, false, or unknown?
|
Because $$99$$ is an odd number, one of these two prime numbers must be an even prime number. The only choice is $$2$$. So the other is $$99-2 = 97$$. So, the difference between the two numbers is $$95$$. Therefore, we choose $$\rm C$$ .
|
[C]
|
TAL-SCQ5K
|
The sum of two prime numbers is $$99$$. What is the difference between the two prime numbers?
Options:
[A] $$89$$
[B] $$92$$
[C] $$95$$
[D] $$97$$
|
Since there are 1000 milliliters in 1 liter, then 3 liters is equal to 3 x 1000 = 3000 milliliters.
She needs to drink 3000/500 = 6 sets of 500 milliliters of water.
So, she will be able to drink a total of 3 liters after 6 sets x every 2 hours = 12 hours.
|
12
|
gsm8k
|
Sandy's goal is to drink 3 liters of water in a day. She drinks 500 milliliters of water every after 2 hours. After how many hours will she be able to drink a total of 3 liters of water?
|
$$66\div(6+5)=6$$， 花园里有玫瑰$$6\times6=36$$朵．
|
d
|
TAL-SCQ5K
|
花园里栽种着雏菊和玫瑰两种花共计$$66$$朵，其中每出现$$5$$朵雏菊便另有$$6$$朵玫瑰．问：花园里有玫瑰（~~ ）朵？
a) $$11$$
b) $$22$$
c) $$30$$
d) $$36$$
|
To show a leg is to get out of bed, but in this context he wanted the person to stay in bed.
|
False
|
FLUTE
|
Context: "As soon as he noticed a rack with closed curtains, he barked stay in bed." Claim: "As soon as he noticed a rack with closed curtains, he barked show a leg."
Considering the context, is the claim true, false, or unknown?
|
The Snowy owl is a bird native to the Arctic regions of North America. Temperatures in the North American Arctic range from -36.4F to 50F. The Sonoran is one of the hottest deserts in the world. The Sonoran Desert can get as hot as 118F.
|
No
|
strategyqa
|
Could a snowy owl survive in the Sonoran?
|
$6\times5-26=4$.
|
5
|
TAL-SCQ5K
|
Vicky bought $26$ apples to divide to her $5$ cousins. If Vicky wants to give them all of the apples and also wants to make every cousin gets the same amount, at least how many more apples should Vicky buy?
1) $$0$$
2) $$1$$
3) $$3$$
4) $$5$$
5) $$4$$
|
A wriggling fish is slippery, so the object in the simile sentence is also slippery.
|
Yes
|
FLUTE
|
Given the statement "Its slippery", is the statement "Its like a wriggling fish!" is true?
- Yes
- No
- I don't know
|
To shoulder something means to take on the responsibility for it, thus, In this case, the speaker is saying that the other person is taking on the responsibility for the accident.
|
Yes
|
FLUTE
|
Consider the staetement "He bear the costs of this accident.". Based on this statement, is "He shouldered the costs for the accident." a true statement? Yes/no/unknown
|
I run $$2\text{km}$$ in $$15$$ minutes, or $$8\text{km}$$ in $$1$$ hour. In $$2$$ hours, I will run $$16\text{km}$$ and my sister will run $$20\text{km}$$. She will run $$4\text{km}$$ farther than I will.
|
$$4$$
|
TAL-SCQ5K
|
My sister runs $$10\text{km}$$ per hour, and I run $$2\text{km}$$ in $$15$$ minutes. If we both run for $$2$$ hours, my sister will run$$\text{km}$$ farther than I will.
$$2$$
$$4$$
$$6$$
$$8$$
|
John is half times his father's age. Thus 1/2*40 = 20 years.
Since the mother is 4 years younger than the father, she is 40-4= 36 years old.
The age difference between John and his mother is 36-20 = 16 years
|
16
|
gsm8k
|
John is half times younger than his father, who is 4 years older than John's mother. If John's father is 40 years old, what's the age difference between John and his mother?
|
On the first day, it rained for 17:00 - 7:00 = 10 hours
On the second day, it 10 hours + 2 hours = 12 hours for the rain to stop
It rained for 2 * 12 hours = 24 hours on the third day.
In the three days, it was raining for 24 hours + 12 hours + 10 hours = 46 hours.
|
46
|
gsm8k
|
It starts raining at 7:00 and pours heavily until its stops at 17:00 on a particular day. On the second day, the rain takes 2 more hours than it took on the first day to stop. On the third day, the rain pours for twice the amount of time it took on the second day. Calculate the total time it was raining in the three days.
|
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