Datasets:

twinkle-ai
/

nemotron-nano-eval-logs-and-scores

question stringlengths 28 4.89k	correct_answer stringclasses 4 values	llm_output stringlengths 2 101k	llm_reasoning_output stringlengths 63 78.5k ⌀	predicted_answer stringclasses 4 values	is_correct bool 2 classes	usage_completion_tokens int64 27 16.4k	usage_prompt_tokens int64 126 1.97k	usage_total_tokens int64 166 17.6k
人類為追求經濟的發展，不斷地向大自然予取予求，近年來大自然的反撲已造成許多的災難，嚴重危害到人民的生命財產，這是因為與何種理念漸行漸遠所導致的結果？ A: 社會福利 B: 永續發展 C: 產業升級 D: 國營事業民營化。	B	\boxed{B}	We need to parse the question: It's in Chinese. It says: "人類為追求經濟的發展，不斷地向大自然予取予求，近年來大自然的反撲已造成許多的災難，嚴重危害到人民的生命財產，這是因為與何種理念漸漸遠所導致的結果？" Then options: A: 社會福祉? Actually "社會福利" maybe "社會福祉"? B: 永續發展 C: 產業升級 D: 國營事業民營化. The question: "這是因為與何種理念漸漸遠所導致的結果？" Means "This is due to gradually moving away from which concept?" The ...	B	true	242	269	511
下列何者為刺激醛固酮分泌的因素？ A: 高血鈉 B: 高滲透度 C: 血量下降 D: 低血鉀	C	\boxed{D}	We need to answer the multiple-choice question: "下列何者為刺激醛固酮分泌的因素？" Options: A: 高血鈉 (high sodium), B: 高滲透度 (high osmolarity), C: 血量下降 (decrease in blood volume), D: 低血鉀 (low potassium). Which factor stimulates aldosterone secretion? Aldosterone is secreted by adrenal cortex in response to angiotensin II, hyperkalemia (h...	D	false	408	191	599
關於 forfaiting，下列敘述何者正確？ A: 相關匯票須經開狀銀行承兌 B: 相關信用狀須經保兌 C: 相關票據到期如不獲兌付，出口商應無條件返還票款 D: 最適合以買方遠期信用狀項下匯票辦理	A	\boxed{A}	We need to answer a multiple-choice question about forfaiting. The question: "關於 forfaiting，下列敘述何者正確？" Options A-D. Need to output the correct option in format \boxed{...}. Only the option letter? It says "將選項以以下格式輸出：\boxed{選項}". So we need to put the correct option letter inside the box. So we need to determine which ...	A	true	7,848	241	8,089
X1 年初甲公司以$3,000,000 買入具污染性設備，另支付$200,000 安裝費，設備估計耐用 3 年，甲公司預估 3 年後報廢需花費$500,000 拆卸處理費，該公司資本率為 10%，報廢該設備之處理無任何相關法規規定，則該設備成本應為： A: $3,700,000 B: $3,200,000 C: $3,575,657 D: $3,000,000	B	\boxed{C}	We need to parse the question: It's in Chinese. It describes a company X1 (maybe "X1 年初甲公司") purchased a polluting equipment for $3,000,000, plus $200,000 installation cost. The equipment is estimated to be usable for 3 years, and the company estimates that after 3 years, when it will be scrapped, it will need to spend...	C	false	851	312	1,163
珠珠家共有九人，已知今年這九人歲數的眾數、平均數、中位數、四分位距均為20，則關於3年後這九人歲數的統計量，下列敘述何者錯誤？ A: 平均數是23 B: 四分位距是23 C: 中位數是23 D: 眾數是23	B	\boxed{B}	We need to parse the problem: There are nine people in "珠珠家" (maybe a family). Their ages now have mode, mean, median, and interquartile range (IQR) all equal to 20. Then we consider three years later (i.e., each age increased by 3). Which of the statements about the statistics of the ages three years later is incorrec...	B	true	936	241	1,177
有ㄧ交流發電機，其線圈面積為0.03平方公尺，線圈共20匝，以每分鐘600轉的固定速度，在0.2特斯拉的均勻磁場中旋轉，則此發電機的最大感應電動勢約為多少伏特？ A: 7.5 B: 15 C: 30 D: 2.5	A	\boxed{A}	We need to compute maximum induced emf in AC generator: emf = N * A * B * ω * sin(ωt) amplitude = N A B ω. Given area = 0.03 m^2, N = 20 turns, B = 0.2 T, angular speed ω = 2π * f, where f = 600 rpm = 600/60 = 10 rev/s. So ω = 2π * 10 = 20π rad/s ≈ 62.8319 rad/s. Then emf_max = N A B ω = 20 * 0.03 * 0.2 * 20π. Compute:...	A	true	250	248	498
綜合所得稅中納稅義務人可享有之各種扣除額，按扣除金額由高至低進行排序，下列何選項之排序正確？ ①有配偶者之標準扣除額 ②子女教育學費特別扣除 ③身心障礙特別扣除 ④長期照顧特別扣除 A: ③①④② B: ③④①② C: ①④③② D: ①③④②	D	{B}	We need to answer the multiple-choice question about tax deductions in Taiwan (綜合所得稅). The question: "綜合所得稅中納稅義務人可享有之各種扣除額，按扣除金額由高至低進行排序，下列何選項之排序正確？ ①有配偶者之標準扣除額 ②子女教育學費特別扣除 ③身心障礙特別扣除 ④長期照顧特別扣除" We need to rank the deduction amounts from highest to lowest. Options A-D give orderings of the four items. We need to know ...	null	false	2,877	270	3,147
陸羽《茶經》論水云：「山水上，石泉又上，江水次而井水下。」又「江水取去人遠者，井取汲多者。」其說止於此，未嘗品第天下之水味。張又新《煎茶水記》云劉伯芻謂水有七等，以揚子江為第一，惠山石泉為第二，虎丘井第三，淮水居末。又載羽為李季卿論水次第有二十種，江水居山水上，井水居江水上。二說皆與《茶經》不合。水味有美惡而已，欲求天下之水一一而次第之者，謬說也。羽之論水，惡渟浸１而喜泉源，故井取多汲者。江雖長，然眾水雜聚，故次山水。惟此說近物理云。 ――改寫...	B	\boxed{A}	We need to parse the passage and question. The passage is about Lu Yu's "Tea Classic" (茶經) statements about water: "Mountain water, spring water above; river water second; well water lowest." Also "River water taken from far away places; well water taken from many draws." He didn't taste all waters. Zhang Youxin's "Tea...	A	false	1,734	514	2,248
食材驗收時應注意之事項，下列敘述何者正確 A: 現場合格者驗收，無須記錄 B: 冷凍食品包裝上有水漬/冰晶時，不宜驗收。 C: 採購及驗收應同一人辦理 D: 運輸條件無須驗收	B	\boxed{B}	We need to output the correct option in format \{...\}. The question: "食材驗收時應注意之事項，下列敘述何者正確" (Which statement is correct regarding ingredient inspection). Options: A: 現場合格者驗收，無須記錄 (Acceptance of on-the-spot, no need to record) - likely false; you need to record. B: 冷凍食品包裝上有水漬/冰晶時，不宜驗收。 (If frozen food packaging has w...	B	true	246	237	483
正子掃描（PET）與功能性磁振造影（fMRI）之差別為何？ A: 前者須注射特定化學物質於受試體內，後者則不需要 B: 前者有水平、縱切以及橫切面的三度空間解剖掃描圖，而後者只有水平面掃描圖 C: 前者可較清晰的辨別個體正在聽音樂或是執行數學運算時，大腦部位的活化狀態 D: 前者有較清晰的圖，可評估大腦血塊所在位置	A	\boxed{A}	We need to answer the multiple-choice question in Chinese. The question: "正子掃描（PET）與功能性磁振造影（fMRI）之差別為何？" Options A-D. Need to select the most appropriate option and output format: \boxed{選項}. Only the option letter inside braces. No extra content. We must determine correct answer. Let's analyze the question: differen...	A	true	384	309	693
有關資恐防制，下列敘述何者錯誤？ A: 防制洗錢金融行動工作組織(FATF)自 2001 年美國 911 事件後，已將打擊資恐列為優先項目 B: 我國資恐防制法之主管機關為法務部 C: 我國資恐防制法指定之制裁名單，以個人、法人或團體在中華民國領域內者為限 D: 資恐防制的目的是為了防制與遏止恐怖活動、組織、分子之資助行為	C	\boxed{B}	We need to answer which statement is incorrect regarding anti-money laundering/counter-terrorist financing (資恐防制). Options A-D. Need to identify which is false. Let's analyze each statement. A: "防制洗錢金融行動工作組織(FATF)自 2001 年美國 911 事件後，已將打擊資恐列為優先項目". FATF (Financial Action Task Force) was established earlier (1989). Afte...	B	false	6,149	296	6,445
指揮中心負有何項的責任 A: 通報主管機關已疏散人數、收容地點及災情 B: 依情況調動各組織間相互支援 C: 協助至學校避難民眾應急所需 D: 人員安撫及心理諮商	B	\boxed{A}	We need to output the correct option in format \{...\}. The question: "指揮中心負有何項的責任" (What responsibilities does the command center have?). Options: A: 通報主管機關已疏散人數、收容地點及災情 B: 依情況調動各組織間相互支援 C: 協助至學校避難民眾應急所需 D: 人員安撫及心理諮商 We need to pick the most appropriate answer. This seems like a question about emergency management c...	A	false	238	222	460
依司法院大法官解釋意旨，關於化妝品廣告之事前審查，下列敘述何者錯誤？ A: 係對言論自由之重大干預，原則上應為違憲 B: 其與目的之達成應有實質關聯 C: 必須係為防免人民生命、身體、健康遭受直接、立即及難以回復危害之特別重要之公共利益目的 D: 須賦予人民獲立即司法救濟之機會	B	\boxed{A}	We need to answer multiple-choice question: "依司法院大法官解釋意旨，關於化妝品廣告之事前審查，下列敘述何者錯誤？" Options A-D. Need to select the incorrect statement. Then output format: \boxed{...} with only the option letter inside braces. Must be exactly that. We need to know the correct answer. This is about Taiwan's Judicial Yuan interpretation ...	A	false	1,059	275	1,334
在氯氣(Cl2)和乙烷(ethane)的 UV 照光的反應中，下面哪一步反應是傳播步驟(propagation event)？ I) Cl· + CH3-CH3 → CH3-CH3-Cl + H· II) Cl· + CH3-CH3 → CH3-H2C· + HCl III) Cl· + CH3-H2C∙ → CH3-CH2-Cl IV) Cl2 + CH3-H2C∙ → CH3-CH2-Cl + Cl· V) Cl2 + UV light → C l∙ + Cl∙ A: II, III 與 IV B: I 與 V C: I 與 IV D: II 與 IV	D	\boxed{D}	We need to parse the question: "在氯氣(Cl2)和乙烷(ethane)的 UV 照光的反應中，下面哪一步反應是傳播步驟(propagation event)？" They list several steps I-V. They ask which of the following steps is a propagation step. Options A-D list combinations of steps. We need to identify which steps are propagation steps in the chain reaction mechanism for ch...	D	true	1,710	313	2,023
下列有關分析性程序的敘述，何者錯誤？ A: 較適用於資料間關係將持續存在的情況 B: 必須與細項測試結合，始得對個別聲明執行證實程序 C: 較適用於量大且變動可推估之交易 D: 得協助查核人員作成整體結論	B	\boxed{B}	We need to answer a multiple-choice question in Chinese: "下列有關分析性程序的敘述，何者錯誤？" Options A-D. Need to output the option letter inside \boxed{}. Must be exactly \boxed{...}. No extra content. We need to determine which statement about analytical procedures is incorrect. We need knowledge of auditing: analytical procedure...	B	true	491	248	739
依據康培寫給王晉輝的書信，敘述最適當的是： [文章]：晉輝先生左右：前天不明原因發熱，後漸增。今日延醫診視，知是瘄子。此一星期內不能外出受風，希賜休暇為幸。專此，敬請道安康培謹上 A: 由全文可推知，二人為年齡相近的長官與下屬 B: 康培寫這封信的目的，是拜託王晉輝代為請假 C: 對王晉輝的信末結尾問候語，也可用「福安」 D: 康培表示因延誤就醫，使病況加重且瘄疹增多	A	\boxed{C}	We need to select the most appropriate option based on the letter. The question: "依據康培寫給王晉輝的書信，敘述最適當的是：" Then options A-D. We need to output the selected option in format \boxed{...}. Only that. We need to interpret the letter content. It's a letter from "康培" to "王晉輝". It says: "晉輝先生左右：前天不明原因發熱，後漸增。今日延醫診視，知是瘄子。此一星期內不能...	C	false	868	385	1,253
某三層樓獨棟透天新成屋，建物登記面積為 40 坪，坐落基地登記面積為 20 坪，房地之正常價格為 1200 萬元，經參酌當地市場調查資料，運用估價方法計算出建物價值比率為占房地價格的 30%，請問該基地單價應為多少? A: 60 萬元/坪 B: 42 萬元/坪 C: 30 萬元/坪 D: 18 萬元/坪	B	\boxed{B}	We need to parse the problem: There's a three-story detached house, new construction, building registration area is 40 台坪? Actually "40 坪". Land registration area is 20 台坪? "20 坪". Normal price of the property (land+building?) is 12 million. Using valuation method, the building value ratio is 30% of the land price. So ...	B	true	1,601	308	1,909
「未曾______先學飛，未曾______想挽瓜。」這句諺語的空格仔內愛用啥物？ A: 學爬，犁田 B: 行路，種瓜 C: 學行，掖種 D: 行路，沃肥	C	\boxed{B}	We need to parse the question: It's a Chinese proverb with blanks: "未曾______先學飛，未曾______想挽瓜。" The question: "這句諺語的空格仔內愛用啥物？" Means "What kind of thing is commonly used in the blanks of this proverb?" Or "What kind of thing is commonly used in the blanks?" They give options A-D each with two items separated by comma. We...	B	false	1,554	212	1,766
藍鼎元《東征集》記錄了非常多臺灣古地名或別稱，下面篇章與地點組合，何者有誤？ A: 〈紀竹塹埔〉：新竹 B: 〈紀荷包嶼〉：嘉義朴子 C: 〈紀水沙連〉：日月潭 D: 〈紀火山〉：大屯火山群	D	\boxed{C}	We need to answer which combination is incorrect. The question: "藍鼎元《東征集》記錄了非常多臺灣古地名或別稱，下面篇章與地點組合，何者有誤？" Options A-D each pair a chapter title with a location. Need to find which is wrong. We need knowledge of "東征集" by 盧鼎元? Actually "藍鼎元" maybe "藍鼎元"? Might be "藍鼎元" is a scholar? He compiled "東征集" which records many o...	C	false	9,849	236	10,085
有關美學( aesthetics )的敘述，下列何者正確？ A: 康德( Immanuel Kant )認為只有上帝，而不是人類，才能扮演解釋藝術理論與美感的角色的 B: 美學一詞源自希臘字「aesthesis」，原意指人類的邏輯推理能力 C: 休謨( David Hume )用品味( taste )指稱人類感受和判斷某件藝術品的美感能力 D: 亞里斯多德( Aristotle )最早用美學一詞指稱研究美感經驗的學問	C	\boxed{C}	We need to answer which statement is correct regarding aesthetics. Options: A: Kant believes only God, not humans, can play the role of explaining art theory and aesthetic. Is that correct? Kant's aesthetics: He discusses disinterested judgment, categories, but he does not say only God can explain; he emphasizes human...	C	true	234	290	524
寡占市場結構與其他三種類型市場結構之最大差異在於下列何者？ A: 不同廠商所生產之產品是同質的 B: 不同廠商所生產之產品是異質的 C: 個別廠商是價格的決定者 D: 廠商做決策時會考慮到競爭者是如何做決策	D	\boxed{D}	We need to answer the multiple-choice question in Chinese. The question: "寡占市場結構與其他三種類型市場結構之最大差異在於下列何者？" Options: A: 不同廠商所生產之產品是同質的; B: 不同廠商所生產之產品是異質的; C: 個別廠商是價格的決定者; D: 廠商做決策時會考慮到競爭者是如何做決策 We need to pick the most appropriate answer. The question asks about the biggest difference between oligopoly market structure a...	D	true	239	245	484
台灣海峽的澎湖水道有「黑水溝」之稱，最有可能的原因為何？ A: 海水中多為深色沉積物 B: 水流方向多變使泥沙混濁 C: 沉積物少使光線直達深處 D: 海峽兩側提供豐富懸浮物	C	\boxed{D}	We need to answer the multiple-choice question. The question: "台灣海峽的澎湖水道有「黑水溝」之稱，最有可能的原因為何？" Options: A: 海水中多為深色沉積物; B: 水流方向多變使泥沙混濁; C: 沉積物少使光線直達深處; D: 海峽兩側提供豐富懸浮物. We need to select the most likely cause for the name "black water trench" (黑水溝) in the Pengu Islands waterway of the Taiwan Strait. Likely due to abundant...	D	false	368	229	597
有關財產贈與稅之價值認定，下列敘述何者錯誤？ A: 非上市櫃股票以股票淨值計算 B: 基金以贈與日基金淨值計算 C: 外幣存款以贈與日之臺銀買匯匯率換算新臺幣計算 D: 上市櫃及興櫃股票以贈與日收盤價計算	D	\boxed{C}	We need to answer which statement is incorrect regarding valuation of property gifts tax. Options A-D. Need to output \{...\} with the option letter. We need to know Taiwan's gift tax valuation rules. For non-listed stocks, valuation is based on net asset value? Actually for gift tax, valuation of shares: For listed s...	C	false	576	263	839
下列有關木材防腐方法的敘述，何者錯誤？ A: 加壓注入焦油或防腐藥劑，其防腐效力最佳 B: 熱水浸漬法可防止白蟻蟲害 C: 炭化之表面處理可達防腐效果 D: 常壓熱冷浸漬藥劑防腐法可達防腐效果	B	\boxed{B}	We need to answer which statement is incorrect about wood preservation methods. Options: A: 加壓注入焦油或防腐藥劑，其防腐效力最佳 (Pressure injection of tar or preservatives, its preservative effect is best) - Is that correct? Pressure injection is effective but "最佳" maybe not absolute. But likely correct. B: 熱水浸漬法可防止白蟻蟲害 (Hot water i...	B	true	360	254	614
甲公司聯合製程產出A、B兩種產品，聯合成本為$48,000。A產品共計5,000單位，接受分攤之聯合成本金額為$31,200。A產品在分離點可用每單位$24出售，亦可額外投入成本$15,000繼續加工，並以每單位$26出售。關於A產品之敘述，下列何者正確？ A: 繼續加工並出售的利潤較多，多$26,200 B: 繼續加工並出售的利潤較少，少$5,000 C: 繼續加工並出售的利潤較少，少$36,200 D: 繼續加工並出售的利潤較多，多$115,000	B	\boxed{B}	We need to compute profit if continue processing vs not. Given joint cost $48,000 allocated to A and B. A units 5,000, allocated joint cost amount $31,200. So per unit allocated joint cost = 31,200/5,000 = $6.24 per unit. If not continue processing, presumably they can sell at split-off price $24 per unit. So revenue...	B	true	474	382	856
依據Tenhula & Bellack（2008）的社交技巧模式（Social Skills Model），下列何項描述屬於社交認知（social cognition）功能的範疇？ A: 有能力在說話時使用合適的非語言行為 B: 從互動情境了解、有效分析社交刺激 C: 有能力傾聽及確知對語言訊息的了解 D: 正確偵測情感線索（如：面部與聲音表情）	B	\boxed{B}	We need to answer with a single option in \boxed{}. The question: According to Tenhula & Bellack (2008) Social Skills Model, which describes social cognition function category? Options: A: ability to use appropriate nonverbal behavior when speaking B: understand and effectively analyze social stimuli from interaction ...	B	true	215	274	489
甲向乙約定購買機車一台，並交付定金新臺幣(下同)1 萬元於乙。嗣後，因可歸責於乙之事由，致該買賣契約不能履行時，依民法規定，甲得請求乙返還多少金額? A: 3 萬元 B: 5 千元 C: 1 萬元 D: 2 萬元	D	\boxed{C}	We need to parse the question: It's in Chinese. It says: "甲向乙約定購買機車一台，並交付定金新臺幣(下同)1 萬元於乙。嗣後，因可歸責於乙之事由，致該買賣契約不能履行時，依民法規定，甲得請求乙返還多少金額?" So basically, A (甲) agreed to buy a motorcycle from B (乙), and delivered a deposit of NT$10,000 to B. Later, due to reasons attributable to B, the purchase contract cannot be performed....	C	false	691	263	954
使用同一套毛細管黏度計測流體的黏稠度，除了需檢測流體的流動時間，尚需下列何項數據？ A: 滲透壓 B: 兩側液面落差 C: 毛細管半徑 D: 液體密度	D	\boxed{B}	We need to answer the multiple-choice question. The question: "使用同一套毛細管黏度計測流體的黏稠度，除了需檢測流動時間，尚需下列何項數據？" Means: Using the same set of capillary viscometer to measure fluid viscosity, besides needing to detect flow time, also need which of the following data? Options: A: 渗透压 (permeability pressure?), B: 兩側液面落差 (the height...	B	false	1,037	221	1,258
「天生我材必有用」和「行行出狀元」的說法和下列哪種智力理論的觀點最相符合： A: 智力二因論 B: 智力三元論 C: 智力多元論 D: 智力結構論	C	\boxed{C}	We need to output only the option in \boxed{}. The question: "「天生我材必有用」和「行行出狀元」的說法和下列哪種智力理論的觀點最相符合：" Options: A: 智力二因論, B: 智力三元論, C: 智力多元論, D: 智力結構論. We need to pick which theory aligns with those sayings. "天生我材必有用" (my talent is naturally useful) and "行行出狀元" (every profession produces a top scholar). These reflect be...	C	true	210	211	421
下列牙齒何者不易由牙冠來區別左側或右側？ A: 下顎正中乳門齒 B: 上顎正中乳門齒 C: 上顎乳犬齒 D: 下顎乳犬齒	A	\boxed{D}	We need to answer the multiple-choice question: "下列牙齒何者不易由牙冠來區別左側或右側？" Means: Which of the following teeth is difficult to distinguish left or right by crown? Options: A: 下顎正中乳門齒 (mandibular midline primary first molar? Actually "正中乳門齒" maybe "primary first molar"? In Chinese dental terms: "正中乳門齒" refers to primary fir...	D	false	2,703	210	2,913
給定兩向量u=[1 1 2]T及 v=[2 -1 1]T ，下列選項何者錯誤？ A: 此兩向量的夾角為 π/3 B: 此兩向量的內積（inner product）為 3 C: 此兩向量的外積（cross product）為[-3 -3 3]T D: 此兩向量的範數（norm）乘積為 6	C	\boxed{C}	We need to compute inner product, angle, cross product, norms. Given u = [1,1,2]^T, v = [2,-1,1]^T. Compute inner product: u·v = 12 + 1(-1) + 2*1 = 2 -1 +2 = 3. So B says inner product is 3, that's correct. Compute norms: \|\|u\|\| = sqrt(1^2+1^2+2^2) = sqrt(1+1+4)= sqrt6. \|\|v\|\| = sqrt(2^2+(-1)^2+1^2)= sqrt(4+1+1)= sq...	C	true	666	252	918
某教材於單元結束前，提供幾個與單元概念相關的探究主題，學生能依自己的興趣與能力進行探究，這種提供探究主題讓學生決定探究方法及結果的探究形式稱為？ A: 食譜式探究 B: 結構性的探究 C: 開放式探究 D: 引導性的探究	D	\C\	We need to output the answer in format \{选项\}. The question: "某教材於單元結束前，提供幾個與單元概念相關的探究主題，學生能依自己的興趣與能力進行探究，這種提供探究主題讓學生決定探究方法及結果的探究形式稱為？" Options: A: 食譜式探究, B: 結構性的探究, C: 開放式探究, D: 引導性的探究. The description: teacher provides several inquiry topics related to unit concepts, students can choose based on interest and ability...	null	false	318	238	556

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Benchmark log generated with Twinkle Eval, recording the model's outputs for each prompt, see more in https://github.com/ai-twinkle/Eval • 22 items • Updated 25 days ago • 1