Datasets:

Asilarkness
/

DiffuRefill-facts

+{"prompt": "Question: Entailment – Sentence 1: \"If a player draws the Death card, they must skip their next turn.\" Sentence 2: \"A player who skips a turn has drawn the Death card.\" Does Sentence 2 logically follow from Sentence 1?\nAnswer:", "response": " Sentence1: Death ⇒ skip.\nSentence2: skip ⇒ Death.\nThis is converse, not entailed.\nTherefore not logically follows.\n#### No", "source": "gq_language", "level": "general"}
+{"prompt": "Question: Entailment – Sentence 1: \"All games that use the Fool as a wild card require at least four players.\" Sentence 2: \"A two‑player game uses the Fool as a wild card.\" Does Sentence 2 contradict Sentence 1?\nAnswer:", "response": " Sentence1: any game with Fool as wild → ≥4 players.\nSentence2: asserts a game with Fool as wild has 2 players.\nThis violates the ≥4 condition, so it contradicts.\n#### Yes", "source": "gq_language", "level": "general"}
+{"prompt": "Question: def greet(name):\n    return f\"Welcome to {name} Market!\"\nprint(greet(\"Lam Phaya\"))\nAnswer:", "response": " f-string inserts \"Lam Phaya\"\nresult \"Welcome to Lam Phaya Market!\"\n#### Welcome to Lam Phaya Market!", "source": "gq_code", "level": "general"}
+{"prompt": "Question: def total_items(*args):\n    return sum(args)\nprint(total_items(4,5,6))\nAnswer:", "response": " args tuple (4,5,6)\nsum=4+5+6=15\n#### 15", "source": "gq_code", "level": "general"}
+{"prompt": "Question: All students who get a perfect score on the math test are invited to the honor roll. Maria was invited to the honor roll. Therefore, Maria got a perfect score on the math test. Identify the flaw.\nAnswer:", "response": " All P → H\nH (Maria)\nInvalidly infer P\nAffirming the consequent\n#### affirming the consequent", "source": "gq_argument", "level": "general"}
+{"prompt": "Question: Every student who studies at least 2 hours daily gets an A. João studies at least 2 hours daily. Therefore, João will get an A. Does the conclusion follow?\nAnswer:", "response": " S → A\nS (João)\nModus ponens applied\nConclusion valid\n#### yes", "source": "gq_argument", "level": "general"}
+{"prompt": "Question: All schools that offer art classes have higher student satisfaction. School X offers art classes. Therefore, School X has higher student satisfaction. Does the conclusion follow?\nAnswer:", "response": " A → S\nA (School X)\nModus ponens\nConclusion follows\n#### yes", "source": "gq_argument", "level": "general"}
+{"prompt": "Question: If a teacher uses technology, then student engagement rises. Student engagement rose. Therefore, the teacher used technology. Identify the flaw.\nAnswer:", "response": " T → E\nE\nInvalidly infer T\nAffirming the consequent\n#### affirming the consequent", "source": "gq_argument", "level": "general"}
+{"prompt": "Question: No school that fails to meet safety standards receives accreditation. School Y received accreditation. Therefore, School Y met all safety standards. Does the conclusion follow?\nAnswer:", "response": " ¬(F → ¬A) = F ∧ A not given\nGiven A\nNeed ¬F\nFrom premise contrapositive: A → ¬F\nThus conclusion follows\n#### yes", "source": "gq_argument", "level": "general"}
+{"prompt": "Question: The Manter Hall School fundraiser sold tickets for $12 each. If they sold 45 tickets and then gave a $150 discount to a donor, how much total revenue was collected?\nAnswer:", "response": " 45 tickets × $12 = $540\n$540 – $150 = $390\n#### 390", "source": "gq_wordproblem", "level": "general"}
+{"prompt": "Question: A class at Manter Hall has 24 students. If each student reads 3 books per month, how many books are read by the class in a 4‑month semester?\nAnswer:", "response": " 24 students × 3 books = 72 books per month\n72 books × 4 months = 288 books\n#### 288", "source": "gq_wordproblem", "level": "general"}
+{"prompt": "Question: The school cafeteria serves lunch to 180 students each day. If 60% choose a vegetarian option, how many non‑vegetarian meals are served?\nAnswer:", "response": " 180 × 60% = 108 vegetarian meals\n180 – 108 = 72 non‑vegetarian meals\n#### 72", "source": "gq_wordproblem", "level": "general"}
+{"prompt": "Question: A teacher at Manter Hall assigns 5 homework problems per week. After 9 weeks, a student has completed 80% of the total assignments. How many problems remain unfinished?\nAnswer:", "response": " 5 problems × 9 weeks = 45 total problems\n45 × 80% = 36 completed\n45 – 36 = 9 unfinished\n#### 9", "source": "gq_wordproblem", "level": "general"}
+{"prompt": "Question: Manter Hall’s annual budget allocates $12,000 to sports, $8,500 to arts, and the remainder to academics. If the total budget is $35,000, how much is allocated to academics?\nAnswer:", "response": " $12,000 + $8,500 = $20,500\n$35,000 – $20,500 = $14,500\n#### 14500", "source": "gq_wordproblem", "level": "general"}
+{"prompt": "Question: Wendy’s budget for a research trip is $2,400. Flights cost $350 each way, hotel is $120 per night (3 nights), and meals are $45 per day. She also wants to buy a $200 textbook. Can she stay within budget?\nAnswer:", "response": " Flights total = 2 × $350 = $700\nHotel total = 3 × $120 = $360\nMeals total = 5 days × $45 = $225\nTextbook = $200\nSum = 700 + 360 + 225 + 200 = $1,485\nBudget remaining = 2400 – 1485 = $915 > 0\n#### yes", "source": "gq_planning", "level": "general"}
+{"prompt": "Question: Wendy’s car can travel 30 km per liter of fuel. She needs to drive 420 km round trip. Fuel costs $1.40 per liter. If she wants to keep fuel expense under $50, does she need to refuel en route?\nAnswer:", "response": " Fuel needed = 420 km ÷ 30 km/L = 14 L\nCost = 14 L × $1.40 = $19.60\n$19.60 < $50, so no refuel needed.\n#### no", "source": "gq_planning", "level": "general"}
+{"prompt": "Question: If the Las Vegas Aces have a higher average points per game than the Chicago Sky, then the Aces must have a better defense. Determine whether the conclusion follows.\nAnswer:", "response": " Premise: Higher offensive average.\nConclusion: Better defense.\nLogical link missing; offense does not imply defense quality.\nConclusion does not follow.\n#### No", "source": "gq_argument", "level": "general"}
+{"prompt": "Question: The Las Vegas Aces' win-loss record this season is 26-4. Therefore, their win percentage is 86.7%. Verify the conclusion.\nAnswer:", "response": " Wins = 26, Losses = 4, Total games = 30.\nWin% = 26/30 = 0.8667 = 86.67%.\nRounded to one decimal place = 86.7%.\n#### Yes", "source": "gq_argument", "level": "general"}
+{"prompt": "Question: The Aces have won 3 of the last 4 championships. Therefore, the probability they will win the next championship is 75%. Determine if this probability is justified.\nAnswer:", "response": " Past frequency = 3/4 = 75%.\nProbability inference assumes future identical conditions and independence, which is not given.\nConclusion unjustified.\n#### No", "source": "gq_argument", "level": "general"}
+{"prompt": "Question: The Aces' average attendance this season was 15,200, which is 84.4% of arena capacity. What is the arena capacity?\nAnswer:", "response": " Attendance = 0.844 * Capacity.\nCapacity = 15,200 / 0.844 = 18,000 (approx).\n#### 18,000", "source": "gq_argument", "level": "general"}
+{"prompt": "Question: José Eduardo Franco is planning a 3‑day literary tour of Lisbon. He must visit the National Library (Day 1, 2 h), the Jerónimos Monastery (Day 2, 1.5 h), and the Belém Cultural Center (Day 3, 2 h). He has 8 h each day for sightseeing. He also wants to allocate at least 1 h each day for meals. Can he fit all visits without exceeding daily limits?\nAnswer:", "response": " Day 1: 2 h visit + 1 h meals = 3 h ≤ 8 h ✔\nDay 2: 1.5 h visit + 1 h meals = 2.5 h ≤ 8 h ✔\nDay 3: 2 h visit + 1 h meals = 3 h ≤ 8 h ✔\nAll days within limit.\n#### yes", "source": "gq_planning", "level": "general"}
+{"prompt": "Question: For a conference, José Eduardo Franco needs to pack books. He has 5 books weighing 1.2 kg, 0.9 kg, 1.5 kg, 0.7 kg, and 1.1 kg. His suitcase can hold at most 3 kg total. What is the maximum number of books he can pack without exceeding the limit?\nAnswer:", "response": " Sort lightest: 0.7, 0.9, 1.1, 1.2, 1.5.\n0.7+0.9+1.1 = 2.7 kg (3 books).\nAdding next lightest (1.2) gives 3.9 kg > 3.\nThus 3 books is max.\n#### 3", "source": "gq_planning", "level": "general"}
+{"prompt": "Question: José Eduardo Franco must choose a route from Porto to Madrid using exactly two intermediate cities. Options: (Porto → Salamanca → Zaragoza → Madrid) total distance 800 km, (Porto → Vigo → Salamanca → Madrid) total distance 850 km, (Porto → Salamanca → León → Madrid) total distance 780 km. He wants the shortest route. Which route should he take?\nAnswer:", "response": " Compare distances: 800 km, 850 km, 780 km.\nShortest = 780 km.\n#### Porto → Salamanca → León → Madrid", "source": "gq_planning", "level": "general"}
+{"prompt": "Question: José Eduardo Franco wants to schedule 4 interviews, each 45 min, between 09:00 and 12:00 with a 15‑minute break after every two interviews. What is the earliest possible start time for the third interview?\nAnswer:", "response": " First two interviews: 45+45 = 90 min → end at 10:30.\nBreak 15 min → start third at 10:45.\n#### 10:45", "source": "gq_planning", "level": "general"}
+{"prompt": "Question: José Eduardo Franco must allocate a weekly study schedule for 5 subjects, each requiring 3 h, 4 h, 5 h, 2 h, and 6 h respectively. He can study at most 8 h per day over 5 days. Is there a feasible distribution without exceeding daily limits?\nAnswer:", "response": " Total required = 3+4+5+2+6 = 20 h.\nMaximum available = 5 × 8 = 40 h.\nSince 20 h ≤ 40 h, a schedule exists (e.g., 4 h each day for 5 days).\n#### yes", "source": "gq_planning", "level": "general"}