| GSM8K StrategyQA |
| Question | Henry made two stops during his 6O-mile bike trip.Hefirst stopped after 20miles.His second stop was15 milesbefore the end of the trip.How many milesdid he travel between his first and second stops? | Yes or no:IsAlbany,Georgia the most populousUSAlbany? |
| GreedyDecode | He traveled 6O miles in total.He stopped after 20 miles,so he traveled 60 -20= 40 miles between the first and second stops. The answer is 40. | Albany, Georgia is the most populous US Al-bany. Thus,the answer is yes. |
| SampledPath 1 | Henry travelled a total of 6O miles.His first stop was 2O miles in,and hissecond stop was 15 miles before the end. So between his first and second stopshe travelled 60 -20-15=25 miles. The answer is 25. | The most populous US Albany is Albany, NewYork．Thus,Albany,Georgia is not the mostpopulous US Albany. So the answer is no. |
| SampledPath 2 | He made two stops during a 6O-mile trip. The first was 2O miles into the trip.The second was 15 miles before the end of the trip. This means the second stopWas 60 -15=45 miles into the trip. Since he made the stops in order,the second stop must have been 45 -20 = 25 miles after the first stop.The answer is 25. | Albany，Georgia has a population of about 88,000. Albany, New York has a population ofabout 95,Ooo. Thus,Albany, Georgia is not themost populous US Albany. So the answer is no. |
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"html": "| Question | Greedy Decode | Sampled Path 1 | Sampled Path 2 |
| [MultiArith] Sam had 10 socks.If he threw away3 old onesthatdidn't fitandbought 36newones,how many socks would hehave? | Sam had 1O socks.He threwaway 3 old ones that didn't fit.He bought 36 new ones.Thatmeans he has 10+36-3=41socks. The answer is 41. | Sam had 10 socks.Hethrew away 3old ones.Sonow he has 7 left. Then hebought 36 new ones．Sonow he has 7 + 36 = 43socks. The answer is 43. | He had 1O socks.He threw away3 old ones that didn't ft.Hebought 36 new ones.So in totalhe has 10-3+36=43 socks.Theanswer is 43. |
| [SVAMP] In a school there are697 girls and the rest are boys.If thereare 228 moregirls thanboys.How many boys are therein that school? | There are 697 girls and the restare boys.That means there are697+ 228 = 925 girls. Therest are boys.So the number ofboys is 925-697 = 228. Theanswer is 228. | The number of boys is thedifference between 697and 228.This is 697 - 228= 469.The answer is 469. | In the beginning there are 697girls and the rest are boys.So,thenumber of boys must be 697 - 228= 469 boys. The answer is 469. |
| [AQuA] There arelO oranges ina basket.Find the no.of ways inwhich2 oranges are chosen fromthe basket?(a)45 (b) 90 (c)120(d) 150 (e) 180 | There are 1O oranges in a bas-ket.So there are 10 waysin which 2 oranges are chosenfrom the basket. | There are 1O oranges in abasket.We need to choose2 oranges from the basket.So the number of ways are10C2.So the answer is (a). | There are 1O oranges in the bas-ket.If you choose 2 oranges,youhave 10C2=45 ways of choosing2 oranges. So the answer is (a). |
| [CommonsenseQA] The manlaidon thesoft mossand lookedup at the trees,where was theman?(a) niagra falls (b) forest(c) waterfall (d) ground (e) tree | The answer must be somethingthat is soft and mossy. Of theabove choices,only ground issoft and mossy. So the answeris (d). | Theanswermustbesomewhere where mossis found.Of the abovechoices,only forests areknown for having moss.So the answer is (b). | The answer must be a place wherethe man is laying down and look-ing up at trees.Of the abovechoices,only forest isaplacewhere people lay down and lookat trees. So the answer is (b). |
| [ARC] Which of thesewill mostlikely harm a habitat?(a) plant-ing trees. (b) water pollution. (c)rainfall. (d) sunlight. | Planting trees will not harm ahabitat. So the answer is (a). | The answer is (b)，waterpollution,because it willmost likely harm the habi-tat. The other answers arenot likely to harm the habi-tat. | The answeris (b), water pollution.Treesare good fora habitat, rain-fall is necessary for a habitat,andsunlight is necessary fora habitat.So the answer is (b). |
| [ARC-challenge] Which pro-cessin thecarbon cycle takes thelongest to complete? (a) emis-sion of waste.(b) respiration inanimals.(c) photosynthesis inplants.(d) formation of fossil fu-els. | The process of photosynthesisin plants takes the longest tocomplete. So the answer is (c). | The formation of fossil fu- els takes the longest timeto complete.So the an-swer is (d). | The process that takes the longesttime to complete is the forma-tion of fossil fuels,which hap-pens over millions of years. Sothe answer is (d). |
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"html": "| Question | Greedy Decode | Sampled Path 1 | Sampled Path 2 |
| [GSM8K] Kyle bought lastyear's best-selling book for$19.50. This is with a 25% dis-count from the original price.What was the original price ofthebook? | The book was sold for $19.50.This is 25% less than the origi-nal price.This means the originalprice was 100%． 25% of100%is 25%．So the original pricewas 100%- 25%= 75%.Theoriginal price was 75% of $19.50.75% of $19.50 is 75% * $19.50 =$14.625. The answer is $14.625. | The original price of the bookis $19.50.Since it was dis-counted by 25%,the originalprice was 19.50 / 0.75 = 26.The answer is 26. | Kyle bought a book that is soldfor $19.50.With a 25% discount,the original price must be higher.If we call the original price X,then the discounted price is 0.75x.Since this is $19.50,we can write0.75x = 19.50． Solving this,wefind that the original price is X =19.50 /0.75 = $26. The answer is$26. |
| [AQuA] The capacity of atank of dimensions (8 m x 6m x 2.5 m) is (a) 120 litres (b)1200 litres (c) 12000 litres (d)120000 litres (e) None of these | The volume of the tank is 8 m *6 m *2.5 m=120 m.So thecapacity of the tank is 120 m.Sothe answer is (c). | The volume of the tank is 8m* 6m* 2.5m=120m.This isequal to 120000 litres. So theanswer is (d) | The volume of the tank is 8 m *6m * 2.5 m=120 m3.One cu-bic meter contains 1Ooo litres,sothe tank contains 120 m3 *1000liters/m3 = 120,000 liters.So theanswer is (d). |
| [StrategyQA] Yesorno:Can the Great Depression betreated with Prozac? | The Great Depression was aneconomic depression．Prozac isa drug used to treat depression.Thus, the Great Depression couldbe treated with Prozac. So the an-swer is yes. | Prozac is an anti-depressantmedication. The Great Depres-sion is not a disease.Thus,Prozac cannot treat the GreatDepression. So the answer isno. | The Great Depression is a time pe-riod.Prozac is used to treat de-pression (the mental illness). Thus,the Great Depression can not betreated with Prozac.So the answeris no. |
| [ARC-easy] Which source ofenergy is nonrenewable? (a)coal.(b) sunlight.(c) water.(d) wood. | Coal,sunlight,and water areall renewable sources of energy.Wood is a nonrenewable source ofenergy.So the answer is (d). | A nonrenewable source of en-ergy is one in which the sourceis not replenished in a shortamount of time.Thus, the onlyoption that is nonrenewable iscoal. So the answer is (a). | Coal is a fossil fuel and is formedfrom dead organisms from the past.Coal cannot be produced in a shortperiod of time,so it is considereda nonrenewable source of energy.So the answer is (a). |
| [ARC-challenge] Studentsstudiedthe revolutionofEartharound the Sun.Duringwhichmonth willFlorida have themost sunlight energy avail-able?(a)March.(b)June.(c)September.(d) December. | The Earth is closest to the Sunin December, hence Florida willhave the most sunlight energyavailable in December. So the an-swer is (d). | Earth is closest to the Sun onJune 21,the summer solstice.So the answer is (b). | Florida is closer to the sun duringJune,so it will have the most sun-light energy during that month. Sothe answer is (b). |
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"html": "| Q: John found that the average of 15 numbers is 40.If 10 is added to each number then the mean of the numbers is? Answer Choices: (a) 50 (b) 45 (c) 65 (d) 78 (e) 64 |
| A: If 10 is added to each number, then the mean of the numbers also increases by 10.So the new mean would be 5O. The answer is (a). |
| Q: If a/b=3/4 and 8a + 5b=22,then find the value of a. Answer Choices: (a) 1/2 (b)3/2 (c)5/2 (d) 4/2 (e) 7/2 |
| A: If a/b=3/4,then b=4a/3.So 8a + 5(4a/3)=22.This simplifies to 8a +20a/3 =22,which means 44a/3=22. So a is equal to 3/2. The answer is (b). |
| Q: A person is traveling at 2O km/hr and reached his destinyin 2.5 hr then find the distance?Answer Choices: |
| (a) 53 km (b) 55 km (c) 52 km (d) 60 km (e) 50 km A: The distance that the person traveled would have been 20 km/hr *2.5 hrs = 50 km. The answer is (e). |
| Q: How many keystrokes are neded to type the numbers from 1 to 50o? Answer Choices: (a)1156 (b)1392 (c) 1480 (d) 1562 (e) 1788 |
| A: There are 9one-digit numbers from1 to 9.There are 90 two-digit numbers from 10 to 99.There are 401 three-digit numbers from 100 to 500.9 + 90(2) + 401(3)=1392.The answer is (b). |
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| A: Arthur's Magazine started in 1844. First for Women started in 1989.So Arthur's Magazine was started first. The answer is Arthur's Magazine. |
| Q: The Oberoi family is part of a hotel company that has a head office in what city? |
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| Q: Which factor willmost likely cause a person to develop a fever? (a) a leg muscle relaxing after exercise. (b)a bacterial population in the bloodstream. (c) several viral particles on the skin. (d) carbohydrates being |
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"html": "| lable17:Few-shot exemplarsforallarithmeticreasoning tasks,IromWeietal.(2022). |
| Q: There are 15 trees in the grove. Grove workers willplant trees in the grove today. After they are done, there will be 21 trees.How many trees did the grove workers plant today? A: We start with 15 trees.Later we have 21 trees.The difference must be the number of trees they planted. |
| So,they must have planted 21 - 15 = 6 trees. The answer is 6. |
| Q: If there are 3 cars in the parking lot and 2 more cars arrive,how many cars are in the parking lot? |
| A: There are 3cars in the parking lot already.2 more arrive.Now there are 3 + 2 =5cars. The answer is 5. |
| Q: Leah had32 chocolates and her sister had 42.If they ate 35,how many pieces do they have left in total? |
| A: Leah had 32 chocolates and Leah's sister had 42. That means there were originally 32 + 42 = 74 chocolates.35 have been eaten.So in total they stillhave 74-35=39 chocolates.The answer is 39. |
| Q: Jason had 2O lollipops. He gave Denny some lolipops. Now Jason has 12 lollipops.How many lollipops |
| did Jason give to Denny? A: Jason had 2O lollipops. Since he only has 12 now,he must have given the rest to Denny.The number of |
| lollipops he has given to Denny must have been 2O - 12= 8 lollipops. The answer is 8. Q: Shawn has five toys.For Christmas,he got two toys each from his mom and dad. How many toys does |
| he have now? |
| A: He has 5 toys.He got 2 from mom,so after that he has 5 + 2=7 toys. Then he got 2 more from dad, so in total he has 7 +2=9 toys. The answer is 9. |
| Q: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room? |
| A: There are 4 days from monday to thursday. 5 computers were added each day. That means in total 4 * 5 = 20 computers were added. There were 9computers in the beginning,so now there are 9 + 2O= 29 computers. The answer is 29. |
| Q: Michael had 58 golf balls.On tuesday,he lost 23 golf bals. On wednesday,he lost 2 more.How many golf balls did he have at the end of wednesday? |
| A: Michael initially had 58 balls.He lost 23 on Tuesday,so after that he has 58- 23 =35 balls.On Wednesday he lost 2 more so now he has 35 -2= 33 balls. The answer is 33. Q: Olivia has $23. She bought five bagels for $3 each. How much money does she have left? |
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