answer string | choices dict | id string | kind string | lang string | question string | steps list | subject string | text string | topic string |
|---|---|---|---|---|---|---|---|---|---|
Hyperinflation is extremely rapid price growth that destroys money value and planning. | null | eco_0351 | concept | en | What is hyperinflation? | [
"Prices explode.",
"Savings vanish.",
"Money fails."
] | economics | Answer: Runaway prices.
Steps:
1. Prices explode.
2. Savings vanish.
3. Money fails. | monetary_policy |
The balance is 140. | null | eco_0352 | worked_example | en | Revenue 1620, spending 1480. What is the budget balance? | [
"1620 - 1480.",
"Balance = 140.",
"Result 140."
] | economics | Answer: 140.
Steps:
1. 1620 - 1480.
2. Balance = 140.
3. Result 140. | fiscal_policy |
Dumping sells exports below cost or home price, often ruled unfair. | null | eco_0353 | concept | en | What is dumping in trade? | [
"Price undercuts.",
"Rivals hurt.",
"Duties follow."
] | economics | Answer: Below-cost exports.
Steps:
1. Price undercuts.
2. Rivals hurt.
3. Duties follow. | trade |
The Phillips curve shows the short-run tradeoff between inflation and unemployment. | null | eco_0354 | concept | en | What does the Phillips curve show? | [
"Low jobless.",
"Higher inflation.",
"Short run only."
] | economics | Answer: Inflation versus jobs.
Steps:
1. Low jobless.
2. Higher inflation.
3. Short run only. | labor |
Perfect competition has many sellers, identical products, free entry, and no market power. | null | eco_0355 | concept | en | What defines perfect competition? | [
"Same product.",
"Free entry.",
"Price takers."
] | economics | Answer: Many price takers.
Steps:
1. Same product.
2. Free entry.
3. Price takers. | micro |
Growth is 24%. | null | eco_0356 | worked_example | en | GDP rises from 1000 to 1240. What is the growth rate? | [
"(1240-1000)/1000.",
"Growth = 24%.",
"Result 24%."
] | economics | Answer: 24%.
Steps:
1. (1240-1000)/1000.
2. Growth = 24%.
3. Result 24%. | macro |
Required reserves are 950. | {
"A": "1000",
"B": "950",
"C": "900",
"D": "1050"
} | eco_0357 | multiple_choice | en | Deposits 9500, reserve ratio 10%. What are required reserves? | [
"9500 x 10%.",
"Reserves = 950.",
"Select option B."
] | economics | Answer: 950.
Steps:
1. 9500 x 10%.
2. Reserves = 950.
3. Select option B.
Answer: (B) | monetary_policy |
Output rises 1350. | null | eco_0358 | worked_example | en | MPC 0.8, spending rises 270. How much does output rise? | [
"k = 5.",
"5 x 270.",
"Rise = 1350."
] | economics | Answer: 1350.
Steps:
1. k = 5.
2. 5 x 270.
3. Rise = 1350. | fiscal_policy |
An export subsidy pays domestic firms to sell abroad, distorting trade. | null | eco_0359 | concept | en | What is an export subsidy? | [
"Government pays.",
"Exports cheap.",
"Partners object."
] | economics | Answer: Paid to export.
Steps:
1. Government pays.
2. Exports cheap.
3. Partners object. | trade |
Nezaměstnanost je 29 %. | null | eco_0360 | worked_example | cs | Nezaměstnaných 58, síla 200. Jaká je míra nezaměstnanosti? | [
"58 / 200.",
"Rate = 29%.",
"Result 29%."
] | economics | Answer: 29%.
Steps:
1. 58 / 200.
2. Rate = 29%.
3. Result 29%. | labor |
One X costs 21 Y. | {
"A": "22 Y",
"B": "20 Y",
"C": "23 Y",
"D": "21 Y"
} | eco_0361 | multiple_choice | en | In 8 hours you can make 4 X or 84 Y. What is the opportunity cost of 1 X? | [
"84 / 4.",
"OC = 21 Y.",
"Select option D."
] | economics | Answer: 21 Y.
Steps:
1. 84 / 4.
2. OC = 21 Y.
3. Select option D.
Answer: (D) | micro |
Participation is 85%. | null | eco_0362 | worked_example | en | Labor force 170, adults 200. What is the participation rate? | [
"170 / 200.",
"Rate = 85%.",
"Result 85%."
] | economics | Answer: 85%.
Steps:
1. 170 / 200.
2. Rate = 85%.
3. Result 85%. | macro |
Maximum expansion is 13000. | null | eco_0363 | worked_example | en | Excess reserves 1300, ratio 10%. What is maximum deposit expansion? | [
"1300 / 10%.",
"Max = 13000.",
"Result 13000."
] | economics | Answer: 13000.
Steps:
1. 1300 / 10%.
2. Max = 13000.
3. Result 13000. | monetary_policy |
Output rises 1680. | null | eco_0364 | worked_example | en | MPC 0.75, taxes cut 560. How much does output rise? | [
"tm = -3.",
"-3 x -560.",
"Rise = 1680."
] | economics | Answer: 1680.
Steps:
1. tm = -3.
2. -3 x -560.
3. Rise = 1680. | fiscal_policy |
One cloth costs 26 wine. | null | eco_0365 | worked_example | en | One worker makes 5 cloth or 130 wine. What is the opportunity cost of 1 cloth? | [
"130 / 5.",
"OC = 26.",
"Result 26."
] | economics | Answer: 26.
Steps:
1. 130 / 5.
2. OC = 26.
3. Result 26. | trade |
Frictional unemployment is brief joblessness while workers match with suitable posts. | null | eco_0366 | concept | en | What is frictional unemployment from job search? | [
"Quit or graduate.",
"Search weeks.",
"Healthy churn."
] | economics | Answer: Brief matching.
Steps:
1. Quit or graduate.
2. Search weeks.
3. Healthy churn. | labor |
The price rises 240%. | null | eco_0367 | worked_example | en | Price rises from 20 to 68. What is the percent change? | [
"(68-20)/20.",
"Change = 240%.",
"Result 240%."
] | economics | Answer: 240%.
Steps:
1. (68-20)/20.
2. Change = 240%.
3. Result 240%. | micro |
The unemployed are jobless people actively seeking work, excluding discouraged dropouts. | null | eco_0368 | concept | en | Who counts as unemployed? | [
"No job.",
"Searching now.",
"In labor force."
] | economics | Answer: Jobless seekers.
Steps:
1. No job.
2. Searching now.
3. In labor force. | macro |
Present value is 2800. | {
"A": "2900",
"B": "2700",
"C": "2800",
"D": "3000"
} | eco_0369 | multiple_choice | en | Payment 3080 in one year, rate 10%. What is present value? | [
"3080 / 1.1.",
"PV = 2800.",
"Select option C."
] | economics | Answer: 2800.
Steps:
1. 3080 / 1.1.
2. PV = 2800.
3. Select option C.
Answer: (C) | monetary_policy |
A balanced budget sets government spending equal to revenue in a period. | null | eco_0370 | concept | en | What is a balanced budget? | [
"G matches T.",
"No deficit.",
"Yearly target."
] | economics | Answer: Spending equals revenue.
Steps:
1. G matches T.
2. No deficit.
3. Yearly target. | fiscal_policy |
Obchodní bilance je 165. | null | eco_0371 | worked_example | cs | Vývoz 820, dovoz 655. Jaká je obchodní bilance? | [
"820 - 655.",
"Balance = 165.",
"Result 165."
] | economics | Answer: 165.
Steps:
1. 820 - 655.
2. Balance = 165.
3. Result 165. | trade |
Weekly earnings are 1840. | {
"A": "1800",
"B": "1880",
"C": "1840",
"D": "1920"
} | eco_0372 | multiple_choice | en | Wage 46 per hour, 40 hours. What are weekly earnings? | [
"46 x 40.",
"Earnings = 1840.",
"Select option C."
] | economics | Answer: 1840.
Steps:
1. 46 x 40.
2. Earnings = 1840.
3. Select option C.
Answer: (C) | labor |
Consumer surplus is 1350. | null | eco_0373 | worked_example | en | Max price 30, market price 20, quantity 270. What is consumer surplus? | [
"0.5 x 10 x Q.",
"CS = 1350.",
"Result 1350."
] | economics | Answer: 1350.
Steps:
1. 0.5 x 10 x Q.
2. CS = 1350.
3. Result 1350. | micro |
Podíl zaměstnaných je 89 %. | null | eco_0374 | worked_example | cs | Pracovní síla 100, nezaměstnaných 11. Jaký je podíl zaměstnaných? | [
"100 - 11.",
"Share = 89%.",
"Result 89%."
] | economics | Answer: 89%.
Steps:
1. 100 - 11.
2. Share = 89%.
3. Result 89%. | macro |
The real rate is 26%. | null | eco_0375 | worked_example | en | Nominal rate 28%, inflation 2%. What is the real rate? | [
"28 - 2.",
"Real = 26%.",
"Result 26%."
] | economics | Answer: 26%.
Steps:
1. 28 - 2.
2. Real = 26%.
3. Result 26%. | monetary_policy |
Výstup vzroste o 640. | null | eco_0376 | worked_example | cs | MPC 0,8, transfery rostou o 160. O kolik vzroste výstup? | [
"Transfer k = 4.",
"4 x 160.",
"Rise = 640."
] | economics | Answer: 640.
Steps:
1. Transfer k = 4.
2. 4 x 160.
3. Rise = 640. | fiscal_policy |
50 dollars is 1950 korunas. | {
"A": "1900",
"B": "2000",
"C": "1850",
"D": "1950"
} | eco_0377 | multiple_choice | en | Rate 39 korunas per dollar. What is 50 dollars in korunas? | [
"50 x 39.",
"Korunas = 1950.",
"Select option D."
] | economics | Answer: 1950.
Steps:
1. 50 x 39.
2. Korunas = 1950.
3. Select option D.
Answer: (D) | trade |
Immigration can lower wages for close substitutes while raising demand and complementary pay. | null | eco_0378 | concept | en | How can immigration affect wages? | [
"Same skills compete.",
"Demand rises too.",
"Net mixed."
] | economics | Answer: Substitutes lose.
Steps:
1. Same skills compete.
2. Demand rises too.
3. Net mixed. | labor |
A monopoly is a single seller with high barriers to entry and power over price. | null | eco_0379 | concept | en | What defines a monopoly? | [
"One seller.",
"Blocked entry.",
"Sets price."
] | economics | Answer: Single price maker.
Steps:
1. One seller.
2. Blocked entry.
3. Sets price. | micro |
Inflation is 36%. | {
"A": "34%",
"B": "38%",
"C": "36%",
"D": "37%"
} | eco_0380 | multiple_choice | en | CPI rises from 100 to 136. What is inflation? | [
"(136-100)/100.",
"Inflation = 36%.",
"Select option C."
] | economics | Answer: 36%.
Steps:
1. (136-100)/100.
2. Inflation = 36%.
3. Select option C.
Answer: (C) | macro |
Doubling takes about 35 years. | {
"A": "36",
"B": "34",
"C": "40",
"D": "35"
} | eco_0381 | multiple_choice | en | Growth 2% yearly. About how many years to double? | [
"70 / 2.",
"Years = 35.",
"Select option D."
] | economics | Answer: 35.
Steps:
1. 70 / 2.
2. Years = 35.
3. Select option D.
Answer: (D) | monetary_policy |
High debt raises interest bills, rate pressure, and exposure to market stress. | null | eco_0382 | concept | en | Why can high public debt be costly? | [
"Interest eats budget.",
"Rates pressured.",
"Shocks hurt."
] | economics | Answer: Interest and risk.
Steps:
1. Interest eats budget.
2. Rates pressured.
3. Shocks hurt. | fiscal_policy |
Tariff revenue is 28000. | null | eco_0383 | worked_example | en | Imports 1000 units, tariff 28 per unit. What is tariff revenue? | [
"1000 x 28.",
"Revenue = 28000.",
"Result 28000."
] | economics | Answer: 28000.
Steps:
1. 1000 x 28.
2. Revenue = 28000.
3. Result 28000. | trade |
The real gain is 20%. | {
"A": "21%",
"B": "19%",
"C": "22%",
"D": "20%"
} | eco_0384 | multiple_choice | en | Nominal wages rise 23%, inflation 3%. What is the real gain? | [
"23 - 3.",
"Gain = 20%.",
"Select option D."
] | economics | Answer: 20%.
Steps:
1. 23 - 3.
2. Gain = 20%.
3. Select option D.
Answer: (D) | labor |
Break-even is 1400 units. | null | eco_0385 | worked_example | en | Fixed cost 14000, margin 10 per unit. What is break-even quantity? | [
"14000 / 10.",
"BE = 1400.",
"Result 1400."
] | economics | Answer: 1400.
Steps:
1. 14000 / 10.
2. BE = 1400.
3. Result 1400. | micro |
GDP per capita is 145 thousand. | {
"A": "140",
"B": "150",
"C": "155",
"D": "145"
} | eco_0386 | multiple_choice | en | GDP 1450 billion, population 10 million. What is GDP per capita (thousands)? | [
"1450 / 10.",
"Per capita = 145.",
"Select option D."
] | economics | Answer: 145.
Steps:
1. 1450 / 10.
2. Per capita = 145.
3. Select option D.
Answer: (D) | macro |
Povinné rezervy jsou 2700. | null | eco_0387 | worked_example | cs | Nový vklad 13500, sazba 20 %. Jaké jsou povinné rezervy? | [
"13500 x 20%.",
"Reserves = 2700.",
"Result 2700."
] | economics | Answer: 2700.
Steps:
1. 13500 x 20%.
2. Reserves = 2700.
3. Result 2700. | monetary_policy |
Government transfers are payments like pensions and benefits not made for current output. | null | eco_0388 | concept | en | What are government transfers? | [
"Pensions count.",
"Benefits count.",
"Support incomes."
] | economics | Answer: Payments without output.
Steps:
1. Pensions count.
2. Benefits count.
3. Support incomes. | fiscal_policy |
Purchasing power parity says exchange rates should equalize common basket prices. | null | eco_0389 | concept | en | What is purchasing power parity? | [
"Same basket.",
"Two countries.",
"Rate implied."
] | economics | Answer: Equal basket prices.
Steps:
1. Same basket.
2. Two countries.
3. Rate implied. | trade |
Nezaměstnanost je 24 %. | {
"A": "24%",
"B": "22%",
"C": "26%",
"D": "25%"
} | eco_0390 | multiple_choice | cs | Ze 100 v pracovní síle je 24 bez práce. Jaká je míra nezaměstnanosti? | [
"24 / 100.",
"Rate = 24%.",
"Vyber možnost A."
] | economics | Answer: 24%.
Steps:
1. 24 / 100.
2. Rate = 24%.
3. Vyber možnost A.
Answer: (A) | labor |
Elasticity is -2. | {
"A": "-2",
"B": "-1",
"C": "-3",
"D": "-4"
} | eco_0391 | multiple_choice | en | Price rises 10%, quantity falls 20%. What is price elasticity? | [
"-20% / 10%.",
"E = -2.",
"Select option A."
] | economics | Answer: -2.
Steps:
1. -20% / 10%.
2. E = -2.
3. Select option A.
Answer: (A) | micro |
The nominal rate is about 7%. | null | eco_0392 | worked_example | en | Real rate 3%, inflation 4%. What is the nominal rate (approx)? | [
"3 + 4.",
"Nominal = 7%.",
"Result 7%."
] | economics | Answer: 7%.
Steps:
1. 3 + 4.
2. Nominal = 7%.
3. Result 7%. | macro |
The interest is 185. | null | eco_0393 | worked_example | en | Principal 3700, rate 5% for one year. What is the interest? | [
"3700 x 5%.",
"Interest = 185.",
"Result 185."
] | economics | Answer: 185.
Steps:
1. 3700 x 5%.
2. Interest = 185.
3. Result 185. | monetary_policy |
Discretionary fiscal policy is deliberate new spending or tax action voted by lawmakers. | null | eco_0394 | concept | en | What is discretionary fiscal policy? | [
"New package.",
"Lawmakers choose.",
"Timed action."
] | economics | Answer: Voted stimulus.
Steps:
1. New package.
2. Lawmakers choose.
3. Timed action. | fiscal_policy |
100 dolarů je 4000 korun. | {
"A": "4000",
"B": "3900",
"C": "4100",
"D": "3950"
} | eco_0395 | multiple_choice | cs | Kurz 40 korun za dolar. Kolik korun za 100 dolarů? | [
"100 x 40.",
"Korunas = 4000.",
"Vyber možnost A."
] | economics | Answer: 4000.
Steps:
1. 100 x 40.
2. Korunas = 4000.
3. Vyber možnost A.
Answer: (A) | trade |
Employment is 84%. | null | eco_0396 | worked_example | en | Labor force 100, employed 84. What is the employment rate? | [
"84 / 100.",
"Rate = 84%.",
"Result 84%."
] | economics | Answer: 84%.
Steps:
1. 84 / 100.
2. Rate = 84%.
3. Result 84%. | labor |
Maximum X is 128. | null | eco_0397 | worked_example | en | Income 640, price of X is 5. What is the maximum X affordable? | [
"640 / 5.",
"Max = 128.",
"Result 128."
] | economics | Answer: 128.
Steps:
1. 640 / 5.
2. Max = 128.
3. Result 128. | micro |
HDP je 4050. | {
"A": "4050",
"B": "3950",
"C": "4150",
"D": "4100"
} | eco_0398 | multiple_choice | cs | C=3000, I=600, G=500, NX=-50. Jaké je HDP? | [
"Sum C+I+G+NX.",
"GDP = 4050.",
"Vyber možnost A."
] | economics | Answer: 4050.
Steps:
1. Sum C+I+G+NX.
2. GDP = 4050.
3. Vyber možnost A.
Answer: (A) | macro |
Reálná sazba je 3 %. | {
"A": "3%",
"B": "4%",
"C": "2%",
"D": "5%"
} | eco_0399 | multiple_choice | cs | Nominální sazba 5 %, inflace 2 %. Jaká je reálná sazba? | [
"5 - 2.",
"Real = 3%.",
"Vyber možnost A."
] | economics | Answer: 3%.
Steps:
1. 5 - 2.
2. Real = 3%.
3. Vyber možnost A.
Answer: (A) | monetary_policy |
The balance is 250 surplus. | {
"A": "250",
"B": "260",
"C": "240",
"D": "270"
} | eco_0400 | multiple_choice | en | Revenue 1200, spending 950. What is the budget balance? | [
"1200 - 950.",
"Balance = 250.",
"Select option A."
] | economics | Answer: 250.
Steps:
1. 1200 - 950.
2. Balance = 250.
3. Select option A.
Answer: (A) | fiscal_policy |
The moment is 300 N·m. | {
"A": "200 N·m",
"B": "300 N·m",
"C": "400 N·m",
"D": "350 N·m"
} | eng_0001 | multiple_choice | en | Force 150 N acts at 2 m from a pivot. What is the moment? | [
"F = 150 N, d = 2 m.",
"M = Fd = 300 N·m.",
"Select option B (300 N·m)."
] | engineering | Answer: 300 N·m.
Steps:
1. F = 150 N, d = 2 m.
2. M = Fd = 300 N·m.
3. Select option B (300 N·m).
Answer: (B) | statics |
The specific volume is 1 m³/kg. | null | eng_0002 | worked_example | en | Gas fills 4 m³ with mass 4 kg. What is the specific volume? | [
"V = 4 m³, m = 4 kg.",
"v = V/m = 1 m³/kg.",
"Result 1 m³/kg."
] | engineering | Answer: 1 m³/kg.
Steps:
1. V = 4 m³, m = 4 kg.
2. v = V/m = 1 m³/kg.
3. Result 1 m³/kg. | thermodynamics |
Odpor je 5 Ω. | null | eng_0003 | worked_example | cs | Napětí 15 V žene 3 A. Jaký je odpor? | [
"V = 15 V, I = 3 A.",
"R = V/I = 5 Ω.",
"Result 5 Ω."
] | engineering | Answer: 5 Ω.
Steps:
1. V = 15 V, I = 3 A.
2. R = V/I = 5 Ω.
3. Result 5 Ω. | circuits |
Settling time is about 9 s. | null | eng_0004 | worked_example | en | Time constant 3 s. What is 5% settling time? | [
"τ = 3 s.",
"ts ≈ 3τ = 9 s.",
"Result 9 s."
] | engineering | Answer: 9 s.
Steps:
1. τ = 3 s.
2. ts ≈ 3τ = 9 s.
3. Result 9 s. | control |
Outlet velocity is 6 m/s. | {
"A": "4 m/s",
"B": "6 m/s",
"C": "8 m/s",
"D": "10 m/s"
} | eng_0005 | multiple_choice | en | Pipe narrows from 0.02 m² to 0.01 m², inlet velocity 3 m/s. What is outlet velocity? | [
"A1v1 = 0.02×3 m³/s.",
"v2 = 6 m/s.",
"Select option B (6 m/s)."
] | engineering | Answer: 6 m/s.
Steps:
1. A1v1 = 0.02×3 m³/s.
2. v2 = 6 m/s.
3. Select option B (6 m/s).
Answer: (B) | fluids |
The strain is 200 microstrain. | {
"A": "100 microstrain",
"B": "200 microstrain",
"C": "300 microstrain",
"D": "400 microstrain"
} | eng_0006 | multiple_choice | en | Bar 1000 mm stretches 0.2 mm. What is the strain? | [
"ΔL = 0.2 mm, L = 1000 mm.",
"ε = 200 microstrain.",
"Select option B (200 microstrain)."
] | engineering | Answer: 200 microstrain.
Steps:
1. ΔL = 0.2 mm, L = 1000 mm.
2. ε = 200 microstrain.
3. Select option B (200 microstrain).
Answer: (B) | materials |
Max friction is 200 N. | {
"A": "250 N",
"B": "150 N",
"C": "200 N",
"D": "300 N"
} | eng_0007 | multiple_choice | en | Normal force 400 N, friction coefficient 0.5. What is max friction? | [
"μ = 0.5 (dimensionless), N = 400 N.",
"F = μN = 200 N.",
"Select option C (200 N)."
] | engineering | Answer: 200 N.
Steps:
1. μ = 0.5 (dimensionless), N = 400 N.
2. F = μN = 200 N.
3. Select option C (200 N).
Answer: (C) | statics |
První zákon říká, že energie se zachovává: teplo je práce plus vnitřní energie. | null | eng_0008 | concept | cs | Co je první zákon termodynamiky? | [
"Teplo v J.",
"Práce v J.",
"Vnitřek drží."
] | engineering | Answer: Zachování energie.
Steps:
1. Teplo v J.
2. Práce v J.
3. Vnitřek drží. | thermodynamics |
The tap voltage is 7 V. | null | eng_0009 | worked_example | en | Divider with two 1000 Ω resistors fed 14 V. What is the tap voltage? | [
"Vin = 14 V, halves.",
"Vout = 7 V.",
"Result 7 V."
] | engineering | Answer: 7 V.
Steps:
1. Vin = 14 V, halves.
2. Vout = 7 V.
3. Result 7 V. | circuits |
Feedback control measures output and corrects input to track a setpoint. | null | eng_0010 | concept | en | What is feedback control? | [
"Sense output.",
"Compare target.",
"Drive error down."
] | engineering | Answer: Measure and correct.
Steps:
1. Sense output.
2. Compare target.
3. Drive error down. | control |
Density is mass per unit volume, in kilograms per cubic metre. | null | eng_0011 | concept | en | What is density? | [
"kg over m³.",
"Water 1000.",
"Steel 7850."
] | engineering | Answer: Mass per volume.
Steps:
1. kg over m³.
2. Water 1000.
3. Steel 7850. | fluids |
Thermal stress is 36 MPa. | null | eng_0012 | worked_example | en | Steel bar (E = 200 GPa, α = 12e-6/K) cools 15 K constrained. What thermal stress arises? | [
"E = 200 GPa, ΔT = 15 K.",
"σ = EαΔT = 36 MPa.",
"Result 36 MPa."
] | engineering | Answer: 36 MPa.
Steps:
1. E = 200 GPa, ΔT = 15 K.
2. σ = EαΔT = 36 MPa.
3. Result 36 MPa. | materials |
The vertical component is 120 N. | null | eng_0013 | worked_example | en | Force 150 N pulls at a 3-4-5 angle. What is the vertical component? | [
"F = 150 N, sin = 4/5.",
"Fy = 0.8×150 = 120 N.",
"Result 120 N."
] | engineering | Answer: 120 N.
Steps:
1. F = 150 N, sin = 4/5.
2. Fy = 0.8×150 = 120 N.
3. Result 120 N. | statics |
The work done is 120 kJ. | {
"A": "100 kJ",
"B": "120 kJ",
"C": "140 kJ",
"D": "160 kJ"
} | eng_0014 | multiple_choice | en | Gas expands at 200 kPa by 0.6 m³. What work is done? | [
"p = 200 kPa, ΔV = 0.6 m³.",
"W = pΔV = 120 kJ.",
"Select option B (120 kJ)."
] | engineering | Answer: 120 kJ.
Steps:
1. p = 200 kPa, ΔV = 0.6 m³.
2. W = pΔV = 120 kJ.
3. Select option B (120 kJ).
Answer: (B) | thermodynamics |
The power is 690 W. | {
"A": "460 W",
"B": "690 W",
"C": "920 W",
"D": "805 W"
} | eng_0015 | multiple_choice | en | A 230 V appliance draws 3 A. What is its power? | [
"V = 230 V, I = 3 A.",
"P = VI = 690 W.",
"Select option B (690 W)."
] | engineering | Answer: 690 W.
Steps:
1. V = 230 V, I = 3 A.
2. P = VI = 690 W.
3. Select option B (690 W).
Answer: (B) | circuits |
Integrační výstup je 15 V. | null | eng_0016 | worked_example | cs | Chyba 2 jednotky trvá 15 s při Ki = 0,5 1/s. Jaký je integrační výstup? | [
"e = 2 units, t = 15 s.",
"u = 0.5×2×15 = 15 V.",
"Result 15 V."
] | engineering | Answer: 15 V.
Steps:
1. e = 2 units, t = 15 s.
2. u = 0.5×2×15 = 15 V.
3. Result 15 V. | control |
The exit velocity is 5 m/s. | null | eng_0017 | worked_example | en | Tank head 1.25 m (take g = 10 m/s²). What is the Torricelli velocity? | [
"h = 1.25 m, g = 10 m/s².",
"v = √(2gh) = 5 m/s.",
"Result 5 m/s."
] | engineering | Answer: 5 m/s.
Steps:
1. h = 1.25 m, g = 10 m/s².
2. v = √(2gh) = 5 m/s.
3. Result 5 m/s. | fluids |
Příčná deformace je -420 mikrostrainu. | null | eng_0018 | worked_example | cs | Tyč se natáhne o 1400 mikrostrainu, Poisson 0,3. Jaká je příčná deformace? | [
"εa = 1400 microstrain, ν = 0.3.",
"εt = −νεa = -420 microstrain.",
"Result -420 microstrain."
] | engineering | Answer: -420 microstrain.
Steps:
1. εa = 1400 microstrain, ν = 0.3.
2. εt = −νεa = -420 microstrain.
3. Result -420 microstrain. | materials |
The reaction at B is 400 N. | null | eng_0019 | worked_example | en | Beam 6 m, load 600 N at 4 m from A. What is reaction at B? | [
"F = 600 N, span 6 m.",
"RB = 600×4/6 = 400 N.",
"Result 400 N."
] | engineering | Answer: 400 N.
Steps:
1. F = 600 N, span 6 m.
2. RB = 600×4/6 = 400 N.
3. Result 400 N. | statics |
A thermodynamic system is a defined region with a boundary exchanging heat, work, or mass. | null | eng_0020 | concept | en | What is a thermodynamic system? | [
"Boundary set.",
"Exchanges cross.",
"Rest surroundings."
] | engineering | Answer: Defined region.
Steps:
1. Boundary set.
2. Exchanges cross.
3. Rest surroundings. | thermodynamics |
Total resistance is 500 Ω. | {
"A": "400 Ω",
"B": "600 Ω",
"C": "500 Ω",
"D": "550 Ω"
} | eng_0021 | multiple_choice | en | Resistors 100 Ω and 400 Ω in series. What is total resistance? | [
"R1 = 100 Ω, R2 = 400 Ω.",
"R = 500 Ω.",
"Select option C (500 Ω)."
] | engineering | Answer: 500 Ω.
Steps:
1. R1 = 100 Ω, R2 = 400 Ω.
2. R = 500 Ω.
3. Select option C (500 Ω).
Answer: (C) | circuits |
Zpětná vazba měří výstup a opravuje vstup ke splnění cíle. | null | eng_0022 | concept | cs | Co je zpětná vazba? | [
"Snímej výstup.",
"Srovnej cíl.",
"Tlač chybu dolů."
] | engineering | Answer: Měř a oprav.
Steps:
1. Snímej výstup.
2. Srovnej cíl.
3. Tlač chybu dolů. | control |
Pressure is force per unit area, measured in pascals. | null | eng_0023 | concept | en | What is pressure? | [
"N over m².",
"Pa unit.",
"kPa handy."
] | engineering | Answer: Force per area.
Steps:
1. N over m².
2. Pa unit.
3. kPa handy. | fluids |
Napětí je 40 MPa. | {
"A": "30 MPa",
"B": "50 MPa",
"C": "40 MPa",
"D": "60 MPa"
} | eng_0024 | multiple_choice | cs | Ocel (E = 200 GPa) při deformaci 200 mikrostrainu. Jaké je napětí? | [
"E = 200 GPa, ε = 200 microstrain.",
"σ = Eε = 40 MPa.",
"Vyber možnost C (40 MPa)."
] | engineering | Answer: 40 MPa.
Steps:
1. E = 200 GPa, ε = 200 microstrain.
2. σ = Eε = 40 MPa.
3. Vyber možnost C (40 MPa).
Answer: (C) | materials |
The balancing reaction is 400 N upward. | {
"A": "450 N",
"B": "350 N",
"C": "500 N",
"D": "400 N"
} | eng_0025 | multiple_choice | en | Downward forces 160 N and 240 N act on a beam. What upward reaction balances them? | [
"F1 = 160 N, F2 = 240 N.",
"R = 160+240 = 400 N.",
"Select option D (400 N)."
] | engineering | Answer: 400 N.
Steps:
1. F1 = 160 N, F2 = 240 N.
2. R = 160+240 = 400 N.
3. Select option D (400 N).
Answer: (D) | statics |
The zeroth law says bodies in mutual thermal equilibrium share the same temperature. | null | eng_0026 | concept | en | What is the zeroth law? | [
"A with C.",
"B with C.",
"A with B."
] | engineering | Answer: Same temperature.
Steps:
1. A with C.
2. B with C.
3. A with B. | thermodynamics |
The leaving current is 8 A. | null | eng_0027 | worked_example | en | Currents 2 A and 6 A enter a node. What current leaves? | [
"I1 = 2 A, I2 = 6 A.",
"I3 = 8 A.",
"Result 8 A."
] | engineering | Answer: 8 A.
Steps:
1. I1 = 2 A, I2 = 6 A.
2. I3 = 8 A.
3. Result 8 A. | circuits |
The D output is 8 V. | null | eng_0028 | worked_example | en | Error jumps 0 to 40 units in 2 s with Kd = 0.4 s. What is the D output? | [
"Slope = 40/2 units/s.",
"u = 0.4×slope = 8 V.",
"Result 8 V."
] | engineering | Answer: 8 V.
Steps:
1. Slope = 40/2 units/s.
2. u = 0.4×slope = 8 V.
3. Result 8 V. | control |
Hustota je hmotnost na jednotku objemu, v kilogramech na metr krychlový. | null | eng_0029 | concept | cs | Co je hustota? | [
"kg na m³.",
"Voda 1000.",
"Ocel 7850."
] | engineering | Answer: Hmotnost na objem.
Steps:
1. kg na m³.
2. Voda 1000.
3. Ocel 7850. | fluids |
Stress is internal force per unit area, measured in pascals or megapascals. | null | eng_0030 | concept | en | What is stress? | [
"N over m².",
"MPa handy.",
"Tension positive."
] | engineering | Answer: Force per area.
Steps:
1. N over m².
2. MPa handy.
3. Tension positive. | materials |
Each end reaction is 400 N. | null | eng_0031 | worked_example | en | Uniform beam weighs 800 N over 8 m. What is each end reaction? | [
"W = 800 N, midspan 4 m.",
"R = W/2 = 400 N.",
"Result 400 N."
] | engineering | Answer: 400 N.
Steps:
1. W = 800 N, midspan 4 m.
2. R = W/2 = 400 N.
3. Result 400 N. | statics |
The power is 200 W. | null | eng_0032 | worked_example | en | Work 2000 J is done in 10 s. What is the power? | [
"W = 2000 J, t = 10 s.",
"P = W/t = 200 W.",
"Result 200 W."
] | engineering | Answer: 200 W.
Steps:
1. W = 2000 J, t = 10 s.
2. P = W/t = 200 W.
3. Result 200 W. | thermodynamics |
Ohm's law says voltage equals current times resistance, V equals IR. | null | eng_0033 | concept | en | What is Ohm's law? | [
"V in volts.",
"I in amps.",
"R in ohms."
] | engineering | Answer: V equals IR.
Steps:
1. V in volts.
2. I in amps.
3. R in ohms. | circuits |
Settling time is about 12 s. | {
"A": "8 s",
"B": "12 s",
"C": "16 s",
"D": "20 s"
} | eng_0034 | multiple_choice | en | First-order system has time constant 3 s. What is 2% settling time? | [
"τ = 3 s.",
"ts ≈ 4τ = 12 s.",
"Select option B (12 s)."
] | engineering | Answer: 12 s.
Steps:
1. τ = 3 s.
2. ts ≈ 4τ = 12 s.
3. Select option B (12 s).
Answer: (B) | control |
Hydrostatic pressure grows with depth as rho g h in a resting fluid. | null | eng_0035 | concept | en | What is hydrostatic pressure? | [
"Depth in m.",
"Times rho g.",
"kPa gauge."
] | engineering | Answer: Rho g h.
Steps:
1. Depth in m.
2. Times rho g.
3. kPa gauge. | fluids |
Strain is relative elongation, a dimensionless ratio often in microstrain. | null | eng_0036 | concept | en | What is strain? | [
"Delta L over L.",
"No units.",
"Micro scale."
] | engineering | Answer: Relative stretch.
Steps:
1. Delta L over L.
2. No units.
3. Micro scale. | materials |
Moment dvojice je 270 N·m. | {
"A": "270 N·m",
"B": "300 N·m",
"C": "240 N·m",
"D": "330 N·m"
} | eng_0037 | multiple_choice | cs | Dvojice sil 90 N má rameno 3 m. Jaký je její moment? | [
"F = 90 N, d = 3 m.",
"M = Fd = 270 N·m.",
"Vyber možnost A (270 N·m)."
] | engineering | Answer: 270 N·m.
Steps:
1. F = 90 N, d = 3 m.
2. M = Fd = 270 N·m.
3. Vyber možnost A (270 N·m).
Answer: (A) | statics |
Účinnost je 13 %. | null | eng_0038 | worked_example | cs | Motor změní 130 J z 1000 J tepla na práci. Jaká je účinnost? | [
"W = 130 J, Q = 1000 J.",
"η = W/Q = 13%.",
"Result 13%."
] | engineering | Answer: 13%.
Steps:
1. W = 130 J, Q = 1000 J.
2. η = W/Q = 13%.
3. Result 13%. | thermodynamics |
The equivalent is 25 Ω. | {
"A": "30 Ω",
"B": "20 Ω",
"C": "35 Ω",
"D": "25 Ω"
} | eng_0039 | multiple_choice | en | Two 50 Ω resistors in parallel. What is the equivalent? | [
"R = 50 Ω each.",
"Req = R/2 = 25 Ω.",
"Select option D (25 Ω)."
] | engineering | Answer: 25 Ω.
Steps:
1. R = 50 Ω each.
2. Req = R/2 = 25 Ω.
3. Select option D (25 Ω).
Answer: (D) | circuits |
The closed-loop gain is 0.8. | null | eng_0040 | worked_example | en | Unity feedback loop, forward gain 4. What is the closed-loop gain? | [
"K = 4 (dimensionless).",
"T = K/(1+K) = 0.8 (dimensionless).",
"Result 0.8 (dimensionless)."
] | engineering | Answer: 0.8 (dimensionless).
Steps:
1. K = 4 (dimensionless).
2. T = K/(1+K) = 0.8 (dimensionless).
3. Result 0.8 (dimensionless). | control |
The mass flow is 4 kg/s. | null | eng_0041 | worked_example | en | Water flows 4 L/s. What is the mass flow in kg/s? | [
"Q = 4 L/s, ρ = 1000 kg/m³.",
"ṁ = 4 kg/s.",
"Result 4 kg/s."
] | engineering | Answer: 4 kg/s.
Steps:
1. Q = 4 L/s, ρ = 1000 kg/m³.
2. ṁ = 4 kg/s.
3. Result 4 kg/s. | fluids |
Estimated strength is 560 MPa. | null | eng_0042 | worked_example | en | Steel hardness 160 HB. Estimate tensile strength (UTS ≈ 3.5·HB). | [
"Hardness = 160 HB.",
"UTS ≈ 3.5×160 = 560 MPa.",
"Result 560 MPa."
] | engineering | Answer: 560 MPa.
Steps:
1. Hardness = 160 HB.
2. UTS ≈ 3.5×160 = 560 MPa.
3. Result 560 MPa. | materials |
Výslednice je 300 N. | {
"A": "250 N",
"B": "300 N",
"C": "350 N",
"D": "400 N"
} | eng_0043 | multiple_choice | cs | Na šroub působí 180 N na východ a 240 N na sever. Jaká je výslednice? | [
"Fx = 180 N, Fy = 240 N.",
"R = √(180²+240²) = 300 N.",
"Vyber možnost B (300 N)."
] | engineering | Answer: 300 N.
Steps:
1. Fx = 180 N, Fy = 240 N.
2. R = √(180²+240²) = 300 N.
3. Vyber možnost B (300 N).
Answer: (B) | statics |
The new volume is 5 m³. | null | eng_0044 | worked_example | en | Gas 3 m³ at 300 K warms to 500 K at constant pressure. What is the new volume? | [
"V1 = 3 m³, T1 = 300 K.",
"V2 = 3×500/300 = 5 m³.",
"Result 5 m³."
] | engineering | Answer: 5 m³.
Steps:
1. V1 = 3 m³, T1 = 300 K.
2. V2 = 3×500/300 = 5 m³.
3. Result 5 m³. | thermodynamics |
Energy used is 600 Wh. | {
"A": "600 Wh",
"B": "500 Wh",
"C": "700 Wh",
"D": "650 Wh"
} | eng_0045 | multiple_choice | en | A 300 W bulb burns 2 h. How much energy is used? | [
"P = 300 W, t = 2 h.",
"E = Pt = 600 Wh.",
"Select option A (600 Wh)."
] | engineering | Answer: 600 Wh.
Steps:
1. P = 300 W, t = 2 h.
2. E = Pt = 600 Wh.
3. Select option A (600 Wh).
Answer: (A) | circuits |
Open loop runs blind while closed loop uses feedback to reject disturbances. | null | eng_0046 | concept | en | How do open and closed loop differ? | [
"No sensor open.",
"Sensor closed.",
"Robust closed."
] | engineering | Answer: Blind versus sensing.
Steps:
1. No sensor open.
2. Sensor closed.
3. Robust closed. | control |
Pascal's law says pressure applied to enclosed fluid spreads undiminished. | null | eng_0047 | concept | en | What is Pascal's law? | [
"Push piston.",
"All walls feel.",
"Hydraulics use."
] | engineering | Answer: Spreads everywhere.
Steps:
1. Push piston.
2. All walls feel.
3. Hydraulics use. | fluids |
Hooke's law says stress is proportional to strain in the elastic range. | null | eng_0048 | concept | en | What is Hooke's law? | [
"Sigma equals E.",
"Epsilon small.",
"Unload recovers."
] | engineering | Answer: Stress tracks strain.
Steps:
1. Sigma equals E.
2. Epsilon small.
3. Unload recovers. | materials |
A force is a vector push or pull with magnitude and direction, measured in newtons. | null | eng_0049 | concept | en | What is a force? | [
"Magnitude in N.",
"Direction matters.",
"Adds by vectors."
] | engineering | Answer: Vector in newtons.
Steps:
1. Magnitude in N.
2. Direction matters.
3. Adds by vectors. | statics |
The pressure is 700 kPa. | null | eng_0050 | worked_example | en | Gas 7 m³ at 100 kPa is squeezed to 1 m³ at constant temperature. What is the pressure? | [
"p1 = 100 kPa, V1 = 7 m³.",
"p2 = 100×7 = 700 kPa.",
"Result 700 kPa."
] | engineering | Answer: 700 kPa.
Steps:
1. p1 = 100 kPa, V1 = 7 m³.
2. p2 = 100×7 = 700 kPa.
3. Result 700 kPa. | thermodynamics |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.