answer
string
choices
dict
id
string
kind
string
lang
string
question
string
steps
list
subject
string
text
string
topic
string
Impedance is AC resistance with magnitude and phase, in ohms.
null
eng_0351
concept
en
What is impedance?
[ "Resistor part.", "Reactance part.", "Phase shifts." ]
engineering
Answer: AC ohms. Steps: 1. Resistor part. 2. Reactance part. 3. Phase shifts.
circuits
Celkové zesílení je 44.
{ "A": "42 (dimensionless)", "B": "46 (dimensionless)", "C": "48 (dimensionless)", "D": "44 (dimensionless)" }
eng_0352
multiple_choice
cs
Dva sériové bloky mají zesílení 2 a 22. Jaké je celkové zesílení?
[ "K1 = 2, K2 = 22 (dimensionless).", "K = 44 (dimensionless).", "Vyber možnost D (44 (dimensionless))." ]
engineering
Answer: 44 (dimensionless). Steps: 1. K1 = 2, K2 = 22 (dimensionless). 2. K = 44 (dimensionless). 3. Vyber možnost D (44 (dimensionless)). Answer: (D)
control
Dynamický tlak je 7935 Pa.
null
eng_0353
worked_example
cs
Vzduch (ρ = 1,2 kg/m³) letí 115 m/s. Jaký je dynamický tlak?
[ "ρ = 1.2 kg/m³, v = 115 m/s.", "q = ½ρv² = 7935 Pa.", "Result 7935 Pa." ]
engineering
Answer: 7935 Pa. Steps: 1. ρ = 1.2 kg/m³, v = 115 m/s. 2. q = ½ρv² = 7935 Pa. 3. Result 7935 Pa.
fluids
The modulus is 121.2 GPa.
null
eng_0354
worked_example
en
Composite with fibre fraction 0.6 (Ef = 200 GPa, Em = 3 GPa). What is the modulus?
[ "Vf = 0.6, Ef = 200 GPa.", "E = VfEf+VmEm = 121.2 GPa.", "Result 121.2 GPa." ]
engineering
Answer: 121.2 GPa. Steps: 1. Vf = 0.6, Ef = 200 GPa. 2. E = VfEf+VmEm = 121.2 GPa. 3. Result 121.2 GPa.
materials
Max friction is 950 N.
{ "A": "1000 N", "B": "950 N", "C": "900 N", "D": "1050 N" }
eng_0355
multiple_choice
en
Normal force 1900 N, friction coefficient 0.5. What is max friction?
[ "μ = 0.5 (dimensionless), N = 1900 N.", "F = μN = 950 N.", "Select option B (950 N)." ]
engineering
Answer: 950 N. Steps: 1. μ = 0.5 (dimensionless), N = 1900 N. 2. F = μN = 950 N. 3. Select option B (950 N). Answer: (B)
statics
Měrná kapacita je teplo na kilogram a kelvin, v joulech.
null
eng_0356
concept
cs
Co je měrná tepelná kapacita?
[ "Hmotnost v kg.", "Delta T v K.", "Q v J." ]
engineering
Answer: Teplo na kg K. Steps: 1. Hmotnost v kg. 2. Delta T v K. 3. Q v J.
thermodynamics
Resonance is the frequency where inductive and capacitive reactances cancel.
null
eng_0357
concept
en
What is resonance?
[ "Peak current.", "Tuned Hz.", "Radio uses." ]
engineering
Answer: Reactances cancel. Steps: 1. Peak current. 2. Tuned Hz. 3. Radio uses.
circuits
The error is 125 units.
null
eng_0358
worked_example
en
Setpoint 1250 units, measurement 1125 units. What is the error?
[ "r = 1250 units, y = 1125 units.", "e = r−y = 125 units.", "Result 125 units." ]
engineering
Answer: 125 units. Steps: 1. r = 1250 units, y = 1125 units. 2. e = r−y = 125 units. 3. Result 125 units.
control
The volume is 50 m³.
null
eng_0359
worked_example
en
Tank base area 2 m², depth 25 m. What is the water volume?
[ "A = 2 m², h = 25 m.", "V = Ah = 50 m³.", "Result 50 m³." ]
engineering
Answer: 50 m³. Steps: 1. A = 2 m², h = 25 m. 2. V = Ah = 50 m³. 3. Result 50 m³.
fluids
The shear stress is 104 MPa.
null
eng_0360
worked_example
en
Shear force 52 kN on 500 mm² section. What is the shear stress?
[ "F = 52 kN, A = 500 mm².", "τ = F/A = 104 MPa.", "Result 104 MPa." ]
engineering
Answer: 104 MPa. Steps: 1. F = 52 kN, A = 500 mm². 2. τ = F/A = 104 MPa. 3. Result 104 MPa.
materials
The balancing reaction is 1150 N upward.
{ "A": "1200 N", "B": "1100 N", "C": "1150 N", "D": "1250 N" }
eng_0361
multiple_choice
en
Downward forces 460 N and 690 N act on a beam. What upward reaction balances them?
[ "F1 = 460 N, F2 = 690 N.", "R = 460+690 = 1150 N.", "Select option C (1150 N)." ]
engineering
Answer: 1150 N. Steps: 1. F1 = 460 N, F2 = 690 N. 2. R = 460+690 = 1150 N. 3. Select option C (1150 N). Answer: (C)
statics
The temperature is 267 °C.
null
eng_0362
worked_example
en
Temperature is 540 K. What is it in Celsius?
[ "T = 540 K.", "C = 540 − 273 = 267 °C.", "Result 267 °C." ]
engineering
Answer: 267 °C. Steps: 1. T = 540 K. 2. C = 540 − 273 = 267 °C. 3. Result 267 °C.
thermodynamics
The resistance is 29 Ω.
null
eng_0363
worked_example
en
Voltage 87 V drives 3 A. What is the resistance?
[ "V = 87 V, I = 3 A.", "R = V/I = 29 Ω.", "Result 29 Ω." ]
engineering
Answer: 29 Ω. Steps: 1. V = 87 V, I = 3 A. 2. R = V/I = 29 Ω. 3. Result 29 Ω.
circuits
The final value is 78 units.
null
eng_0364
worked_example
en
Gain 26 system gets a step of amplitude 3. What is the final value?
[ "K = 26 (dimensionless), step 3 units.", "Final = 3×26 = 78 units.", "Result 78 units." ]
engineering
Answer: 78 units. Steps: 1. K = 26 (dimensionless), step 3 units. 2. Final = 3×26 = 78 units. 3. Result 78 units.
control
Hydraulic power is 5493.6 W.
null
eng_0365
worked_example
en
Pump lifts 0.02 m³/s of water 28 m. What hydraulic power is needed?
[ "Q = 0.02 m³/s, H = 28 m.", "P = ρgQH = 5493.6 W.", "Result 5493.6 W." ]
engineering
Answer: 5493.6 W. Steps: 1. Q = 0.02 m³/s, H = 28 m. 2. P = ρgQH = 5493.6 W. 3. Result 5493.6 W.
fluids
Elongation is 10 mm.
{ "A": "11 mm", "B": "9 mm", "C": "10 mm", "D": "12 mm" }
eng_0366
multiple_choice
en
Force 100 kN on 2 m steel bar (A = 100 mm², E = 200 GPa). What is elongation?
[ "F = 100 kN, L = 2 m.", "ΔL = FL/AE = 10 mm.", "Select option C (10 mm)." ]
engineering
Answer: 10 mm. Steps: 1. F = 100 kN, L = 2 m. 2. ΔL = FL/AE = 10 mm. 3. Select option C (10 mm). Answer: (C)
materials
Reakce v B je 2800 N.
null
eng_0367
worked_example
cs
Nosník 6 m, břemeno 4200 N ve 4 m od A. Jaká je reakce v B?
[ "F = 4200 N, span 6 m.", "RB = 4200×4/6 = 2800 N.", "Result 2800 N." ]
engineering
Answer: 2800 N. Steps: 1. F = 4200 N, span 6 m. 2. RB = 4200×4/6 = 2800 N. 3. Result 2800 N.
statics
Internal energy rises 125 kJ.
{ "A": "130 kJ", "B": "120 kJ", "C": "135 kJ", "D": "125 kJ" }
eng_0368
multiple_choice
en
System gains 240 kJ of heat and does 115 kJ of work. What is internal energy change?
[ "Q = 240 kJ, W = 115 kJ.", "ΔU = Q−W = 125 kJ.", "Select option D (125 kJ)." ]
engineering
Answer: 125 kJ. Steps: 1. Q = 240 kJ, W = 115 kJ. 2. ΔU = Q−W = 125 kJ. 3. Select option D (125 kJ). Answer: (D)
thermodynamics
Elektrický výkon je napětí krát proud, měří se ve wattech.
null
eng_0369
concept
cs
Co je elektrický výkon?
[ "Volty krát ampéry.", "Watty ven.", "Teplo či práce." ]
engineering
Answer: U krát I. Steps: 1. Volty krát ampéry. 2. Watty ven. 3. Teplo či práce.
circuits
Settling time is about 81 s.
null
eng_0370
worked_example
en
Time constant 27 s. What is 5% settling time?
[ "τ = 27 s.", "ts ≈ 3τ = 81 s.", "Result 81 s." ]
engineering
Answer: 81 s. Steps: 1. τ = 27 s. 2. ts ≈ 3τ = 81 s. 3. Result 81 s.
control
Gauge pressure is 215.82 kPa.
{ "A": "215.82 kPa", "B": "210.82 kPa", "C": "220.82 kPa", "D": "225.82 kPa" }
eng_0371
multiple_choice
en
Water depth is 22 m. What is gauge pressure?
[ "ρ = 1000 kg/m³, h = 22 m.", "p = ρgh = 215.82 kPa.", "Select option A (215.82 kPa)." ]
engineering
Answer: 215.82 kPa. Steps: 1. ρ = 1000 kg/m³, h = 22 m. 2. p = ρgh = 215.82 kPa. 3. Select option A (215.82 kPa). Answer: (A)
fluids
The factor of safety is 4.
{ "A": "4.5 (dimensionless)", "B": "3.5 (dimensionless)", "C": "5 (dimensionless)", "D": "4 (dimensionless)" }
eng_0372
multiple_choice
en
Yield 300 MPa, working stress 75 MPa. What is the factor of safety?
[ "σy = 300 MPa, σw = 75 MPa.", "n = 4 (dimensionless).", "Select option D (4 (dimensionless))." ]
engineering
Answer: 4 (dimensionless). Steps: 1. σy = 300 MPa, σw = 75 MPa. 2. n = 4 (dimensionless). 3. Select option D (4 (dimensionless)). Answer: (D)
materials
Each end reaction is 1600 N.
null
eng_0373
worked_example
en
Uniform beam weighs 3200 N over 8 m. What is each end reaction?
[ "W = 3200 N, midspan 4 m.", "R = W/2 = 1600 N.", "Result 1600 N." ]
engineering
Answer: 1600 N. Steps: 1. W = 3200 N, midspan 4 m. 2. R = W/2 = 1600 N. 3. Result 1600 N.
statics
The specific volume is 13 m³/kg.
null
eng_0374
worked_example
en
Gas fills 52 m³ with mass 4 kg. What is the specific volume?
[ "V = 52 m³, m = 4 kg.", "v = V/m = 13 m³/kg.", "Result 13 m³/kg." ]
engineering
Answer: 13 m³/kg. Steps: 1. V = 52 m³, m = 4 kg. 2. v = V/m = 13 m³/kg. 3. Result 13 m³/kg.
thermodynamics
The tap voltage is 31 V.
null
eng_0375
worked_example
en
Divider with two 1000 Ω resistors fed 62 V. What is the tap voltage?
[ "Vin = 62 V, halves.", "Vout = 31 V.", "Result 31 V." ]
engineering
Answer: 31 V. Steps: 1. Vin = 62 V, halves. 2. Vout = 31 V. 3. Result 31 V.
circuits
The integral output is 135 V.
null
eng_0376
worked_example
en
Error 2 units lasts 135 s with Ki = 0.5 1/s. What is the integral output?
[ "e = 2 units, t = 135 s.", "u = 0.5×2×135 = 135 V.", "Result 135 V." ]
engineering
Answer: 135 V. Steps: 1. e = 2 units, t = 135 s. 2. u = 0.5×2×135 = 135 V. 3. Result 135 V.
control
Base pressure is 284.49 kPa.
null
eng_0377
worked_example
en
Still water column 29 m high. What is pressure at the base?
[ "ρ = 1000 kg/m³, h = 29 m.", "p = ρgh = 284.49 kPa.", "Result 284.49 kPa." ]
engineering
Answer: 284.49 kPa. Steps: 1. ρ = 1000 kg/m³, h = 29 m. 2. p = ρgh = 284.49 kPa. 3. Result 284.49 kPa.
fluids
A composite mixes stiff fibers in a matrix for tailored strength and lightness.
null
eng_0378
concept
en
What is a composite material?
[ "Carbon epoxy.", "Glass boats.", "Rule blends." ]
engineering
Answer: Fibers in matrix. Steps: 1. Carbon epoxy. 2. Glass boats. 3. Rule blends.
materials
Zero-force members carry no load when a joint has only two non-collinear members unloaded.
null
eng_0379
concept
en
What characterizes zero-force members?
[ "Two members.", "No load.", "Both zero." ]
engineering
Answer: Unloaded pair. Steps: 1. Two members. 2. No load. 3. Both zero.
statics
The power is 1400 W.
null
eng_0380
worked_example
en
Work 14000 J is done in 10 s. What is the power?
[ "W = 14000 J, t = 10 s.", "P = W/t = 1400 W.", "Result 1400 W." ]
engineering
Answer: 1400 W. Steps: 1. W = 14000 J, t = 10 s. 2. P = W/t = 1400 W. 3. Result 1400 W.
thermodynamics
Energy used is 2100 Wh.
{ "A": "2000 Wh", "B": "2200 Wh", "C": "2150 Wh", "D": "2100 Wh" }
eng_0381
multiple_choice
en
A 1050 W bulb burns 2 h. How much energy is used?
[ "P = 1050 W, t = 2 h.", "E = Pt = 2100 Wh.", "Select option D (2100 Wh)." ]
engineering
Answer: 2100 Wh. Steps: 1. P = 1050 W, t = 2 h. 2. E = Pt = 2100 Wh. 3. Select option D (2100 Wh). Answer: (D)
circuits
The steady value is 105 units.
{ "A": "105 units", "B": "100 units", "C": "110 units", "D": "115 units" }
eng_0382
multiple_choice
en
System K/(10s+1) with K = 105 gets a unit step. What is the steady value?
[ "DC gain K = 105 (dimensionless).", "Step final = 105 units.", "Select option A (105 units)." ]
engineering
Answer: 105 units. Steps: 1. DC gain K = 105 (dimensionless). 2. Step final = 105 units. 3. Select option A (105 units). Answer: (A)
control
Flow is treated compressible when speed nears sound speed or density shifts matter.
null
eng_0383
concept
en
When is flow treated compressible?
[ "Mach over 0.3.", "Density moves.", "Air fast." ]
engineering
Answer: Near sound speed. Steps: 1. Mach over 0.3. 2. Density moves. 3. Air fast.
fluids
Teplotní napětí je 324 MPa.
null
eng_0384
worked_example
cs
Ocelová tyč (E = 200 GPa, α = 12e-6/K) chladne o 135 K vetknutá. Jaké vznikne napětí?
[ "E = 200 GPa, ΔT = 135 K.", "σ = EαΔT = 324 MPa.", "Result 324 MPa." ]
engineering
Answer: 324 MPa. Steps: 1. E = 200 GPa, ΔT = 135 K. 2. σ = EαΔT = 324 MPa. 3. Result 324 MPa.
materials
The couple moment is 720 N·m.
{ "A": "750 N·m", "B": "690 N·m", "C": "780 N·m", "D": "720 N·m" }
eng_0385
multiple_choice
en
A couple has forces 240 N spaced 3 m apart. What is its moment?
[ "F = 240 N, d = 3 m.", "M = Fd = 720 N·m.", "Select option D (720 N·m)." ]
engineering
Answer: 720 N·m. Steps: 1. F = 240 N, d = 3 m. 2. M = Fd = 720 N·m. 3. Select option D (720 N·m). Answer: (D)
statics
The temperature is 393 K.
{ "A": "393 K", "B": "388 K", "C": "398 K", "D": "403 K" }
eng_0386
multiple_choice
en
Temperature is 120 °C. What is it in kelvin?
[ "T = 120 °C.", "K = 120 + 273 = 393 K.", "Select option A (393 K)." ]
engineering
Answer: 393 K. Steps: 1. T = 120 °C. 2. K = 120 + 273 = 393 K. 3. Select option A (393 K). Answer: (A)
thermodynamics
Napětí je 264 V.
{ "A": "264 V", "B": "252 V", "C": "276 V", "D": "288 V" }
eng_0387
multiple_choice
cs
Proud 22 A teče odporem 12 Ω. Jaké je napětí?
[ "I = 22 A, R = 12 Ω.", "V = IR = 264 V.", "Vyber možnost A (264 V)." ]
engineering
Answer: 264 V. Steps: 1. I = 22 A, R = 12 Ω. 2. V = IR = 264 V. 3. Vyber možnost A (264 V). Answer: (A)
circuits
Gain margin is how much gain can rise before instability, in decibels.
null
eng_0388
concept
en
What is gain margin?
[ "dB headroom.", "Phase 180 mark.", "Bigger safer." ]
engineering
Answer: Room to grow. Steps: 1. dB headroom. 2. Phase 180 mark. 3. Bigger safer.
control
The exit velocity is 30 m/s.
null
eng_0389
worked_example
en
Tank head 45 m (take g = 10 m/s²). What is the Torricelli velocity?
[ "h = 45 m, g = 10 m/s².", "v = √(2gh) = 30 m/s.", "Result 30 m/s." ]
engineering
Answer: 30 m/s. Steps: 1. h = 45 m, g = 10 m/s². 2. v = √(2gh) = 30 m/s. 3. Result 30 m/s.
fluids
Transverse strain is -1860 microstrain.
null
eng_0390
worked_example
en
Bar stretches 6200 microstrain, Poisson ratio 0.3. What is transverse strain?
[ "εa = 6200 microstrain, ν = 0.3.", "εt = −νεa = -1860 microstrain.", "Result -1860 microstrain." ]
engineering
Answer: -1860 microstrain. Steps: 1. εa = 6200 microstrain, ν = 0.3. 2. εt = −νεa = -1860 microstrain. 3. Result -1860 microstrain.
materials
A statically determinate structure solves reactions from equilibrium equations alone.
null
eng_0391
concept
en
What is a statically determinate structure?
[ "Count unknowns.", "Match equations.", "No deformation." ]
engineering
Answer: Equilibrium suffices. Steps: 1. Count unknowns. 2. Match equations. 3. No deformation.
statics
The efficiency is 37%.
null
eng_0392
worked_example
en
Engine turns 370 J of 1000 J heat into work. What is the efficiency?
[ "W = 370 J, Q = 1000 J.", "η = W/Q = 37%.", "Result 37%." ]
engineering
Answer: 37%. Steps: 1. W = 370 J, Q = 1000 J. 2. η = W/Q = 37%. 3. Result 37%.
thermodynamics
The leaving current is 32 A.
null
eng_0393
worked_example
en
Currents 2 A and 30 A enter a node. What current leaves?
[ "I1 = 2 A, I2 = 30 A.", "I3 = 32 A.", "Result 32 A." ]
engineering
Answer: 32 A. Steps: 1. I1 = 2 A, I2 = 30 A. 2. I3 = 32 A. 3. Result 32 A.
circuits
Saturation caps actuator output, stalling control effort at a limit.
null
eng_0394
concept
en
What is actuator saturation?
[ "Valve full open.", "Motor max volts.", "Windup risk." ]
engineering
Answer: Capped effort. Steps: 1. Valve full open. 2. Motor max volts. 3. Windup risk.
control
The mass flow is 28 kg/s.
null
eng_0395
worked_example
en
Water flows 28 L/s. What is the mass flow in kg/s?
[ "Q = 28 L/s, ρ = 1000 kg/m³.", "ṁ = 28 kg/s.", "Result 28 kg/s." ]
engineering
Answer: 28 kg/s. Steps: 1. Q = 28 L/s, ρ = 1000 kg/m³. 2. ṁ = 28 kg/s. 3. Result 28 kg/s.
fluids
The stress is 220 MPa.
{ "A": "220 MPa", "B": "210 MPa", "C": "230 MPa", "D": "240 MPa" }
eng_0396
multiple_choice
en
Tensile force 22 kN on 100 mm² bar. What is the stress?
[ "F = 22 kN, A = 100 mm².", "σ = F/A = 220 MPa.", "Select option A (220 MPa)." ]
engineering
Answer: 220 MPa. Steps: 1. F = 22 kN, A = 100 mm². 2. σ = F/A = 220 MPa. 3. Select option A (220 MPa). Answer: (A)
materials
The resultant is 1050 N.
{ "A": "1050 N", "B": "1000 N", "C": "1100 N", "D": "1150 N" }
eng_0397
multiple_choice
en
Forces 630 N east and 840 N north act on a bolt. What is the resultant?
[ "Fx = 630 N, Fy = 840 N.", "R = √(630²+840²) = 1050 N.", "Select option A (1050 N)." ]
engineering
Answer: 1050 N. Steps: 1. Fx = 630 N, Fy = 840 N. 2. R = √(630²+840²) = 1050 N. 3. Select option A (1050 N). Answer: (A)
statics
Heat moves by conduction through solids, convection in fluids, and radiation by waves.
null
eng_0398
concept
en
What are the heat transfer modes?
[ "Solid touch.", "Fluid carry.", "Wave shine." ]
engineering
Answer: Conduction convection radiation. Steps: 1. Solid touch. 2. Fluid carry. 3. Wave shine.
thermodynamics
Superposition solves linear circuits by adding each source effect alone.
null
eng_0399
concept
en
What is superposition?
[ "One source on.", "Others zeroed.", "Sum results." ]
engineering
Answer: Add source effects. Steps: 1. One source on. 2. Others zeroed. 3. Sum results.
circuits
The D output is 56 V.
null
eng_0400
worked_example
en
Error jumps 0 to 280 units in 2 s with Kd = 0.4 s. What is the D output?
[ "Slope = 280/2 units/s.", "u = 0.4×slope = 56 V.", "Result 56 V." ]
engineering
Answer: 56 V. Steps: 1. Slope = 280/2 units/s. 2. u = 0.4×slope = 56 V. 3. Result 56 V.
control
Obě strany mají 54 kostí.
{ "A": "54", "B": "52", "C": "56", "D": "58" }
hea_0001
multiple_choice
cs
Ruka má 27 kostí. Kolik kostí mají obě ruce?
[ "Jedna strana: 27.", "Dvojnásobek: 54.", "Vyber možnost A." ]
health
Answer: 54 Steps: 1. Jedna strana: 27. 2. Dvojnásobek: 54. 3. Vyber možnost A. Answer: (A)
anatomy
A normal adult resting heart rate is 60 to 100 beats per minute.
null
hea_0002
concept
en
What is a normal resting heart rate?
[ "A normal adult resting heart rate is 60 to 100 beats per minute.", "So the answer stands: A normal adult resting heart rate is 60 to 100 beats per minute." ]
health
Answer: A normal adult resting heart rate is 60 to 100 beats per minute. Steps: 1. A normal adult resting heart rate is 60 to 100 beats per minute. 2. So the answer stands: A normal adult resting heart rate is 60 to 100 beats per minute.
physiology
The flu is caused by influenza viruses, bringing sudden fever and body aches.
null
hea_0003
concept
en
What causes the flu?
[ "The flu is caused by influenza viruses, bringing sudden fever and body aches.", "So the answer stands: The flu is caused by influenza viruses, bringing sudden fever and body aches." ]
health
Answer: The flu is caused by influenza viruses, bringing sudden fever and body aches. Steps: 1. The flu is caused by influenza viruses, bringing sudden fever and body aches. 2. So the answer stands: The flu is caused by influenza viruses, bringing sudden fever and body aches.
diseases
Kúra potřebuje 8 tablet.
{ "A": "8", "B": "6", "C": "10", "D": "12" }
hea_0004
multiple_choice
cs
Tablety dvakrát denně na 4 dny. Kolik tablet celkem?
[ "2 denně.", "4 × 2 = 8.", "Vyber možnost A." ]
health
Answer: 8 Steps: 1. 2 denně. 2. 4 × 2 = 8. 3. Vyber možnost A. Answer: (A)
pharmacology_basics
Stlačujte 100 až 120krát za minutu, tvrdě a rychle.
null
hea_0005
concept
cs
Jaká je frekvence resuscitace?
[ "Stlačujte 100 až 120krát za minutu, tvrdě a rychle.", "Odpověď tedy platí: Stlačujte 100 až 120krát za minutu, tvrdě a rychle." ]
health
Answer: Stlačujte 100 až 120krát za minutu, tvrdě a rychle. Steps: 1. Stlačujte 100 až 120krát za minutu, tvrdě a rychle. 2. Odpověď tedy platí: Stlačujte 100 až 120krát za minutu, tvrdě a rychle.
first_aid
Wash hands with soap for at least 20 seconds.
null
hea_0006
concept
en
How long should handwashing take?
[ "Wash hands with soap for at least 20 seconds.", "So the answer stands: Wash hands with soap for at least 20 seconds." ]
health
Answer: Wash hands with soap for at least 20 seconds. Steps: 1. Wash hands with soap for at least 20 seconds. 2. So the answer stands: Wash hands with soap for at least 20 seconds.
public_health
Total: 58 bones.
null
hea_0007
worked_example
en
Count total bones in 2 forearms and 2 hands.
[ "One forearm has 2, one hand 27.", "Per side: 29.", "2 × 29 = 58." ]
health
Answer: Total: 58 bones. Steps: 1. One forearm has 2, one hand 27. 2. Per side: 29. 3. 2 × 29 = 58.
anatomy
Normal body temperature is about 37 °C, varying slightly by site and time.
null
hea_0008
concept
en
What is normal body temperature?
[ "Normal body temperature is about 37 °C, varying slightly by site and time.", "So the answer stands: Normal body temperature is about 37 °C, varying slightly by site and time." ]
health
Answer: Normal body temperature is about 37 °C, varying slightly by site and time. Steps: 1. Normal body temperature is about 37 °C, varying slightly by site and time. 2. So the answer stands: Normal body temperature is about 37 °C, varying slightly by site and time.
physiology
Incidence is 50 per 100000.
{ "A": "50 per 100k", "B": "40 per 100k", "C": "60 per 100k", "D": "70 per 100k" }
hea_0009
multiple_choice
en
50 new cases in 100000 people. What is incidence per 100000?
[ "50 cases.", "Rate = 50.", "Select option A." ]
health
Answer: 50 per 100k Steps: 1. 50 cases. 2. Rate = 50. 3. Select option A. Answer: (A)
diseases
Paracetamol tlumí bolest a snižuje horečku v bezpečných dávkách.
null
hea_0010
concept
cs
Na co je paracetamol?
[ "Paracetamol tlumí bolest a snižuje horečku v bezpečných dávkách.", "Odpověď tedy platí: Paracetamol tlumí bolest a snižuje horečku v bezpečných dávkách." ]
health
Answer: Paracetamol tlumí bolest a snižuje horečku v bezpečných dávkách. Steps: 1. Paracetamol tlumí bolest a snižuje horečku v bezpečných dávkách. 2. Odpověď tedy platí: Paracetamol tlumí bolest a snižuje horečku v bezpečných dávkách.
pharmacology_basics
The total is 60 compressions.
{ "A": "60", "B": "30", "C": "90", "D": "120" }
hea_0011
multiple_choice
en
CPR runs 2 cycles of 30 compressions. How many compressions total?
[ "2 cycles.", "2 × 30 = 60.", "Select option A." ]
health
Answer: 60 Steps: 1. 2 cycles. 2. 2 × 30 = 60. 3. Select option A. Answer: (A)
first_aid
680 children are vaccinated.
{ "A": "680", "B": "580", "C": "780", "D": "880" }
hea_0012
multiple_choice
en
Town vaccinates 85% of 800 children. How many are vaccinated?
[ "85% of 800.", "Count = 680.", "Select option A." ]
health
Answer: 680 Steps: 1. 85% of 800. 2. Count = 680. 3. Select option A. Answer: (A)
public_health
The adult skeleton has 206 bones, down from about 270 at birth as some fuse.
null
hea_0013
concept
en
How many bones are in the adult skeleton?
[ "The adult skeleton has 206 bones, down from about 270 at birth as some fuse.", "So the answer stands: The adult skeleton has 206 bones, down from about 270 at birth as some fuse." ]
health
Answer: The adult skeleton has 206 bones, down from about 270 at birth as some fuse. Steps: 1. The adult skeleton has 206 bones, down from about 270 at birth as some fuse. 2. So the answer stands: The adult skeleton has 206 bones, down from about 270 at birth as some fuse.
anatomy
Cardiac output: 4.76 L/min.
null
hea_0014
worked_example
en
Heart rate 68 bpm, stroke volume 70 mL. Find cardiac output.
[ "CO = HR × SV.", "68 × 70 mL = 4760 mL.", "= 4.76 L/min." ]
health
Answer: Cardiac output: 4.76 L/min. Steps: 1. CO = HR × SV. 2. 68 × 70 mL = 4760 mL. 3. = 4.76 L/min.
physiology
Incidence: 60 per 100000.
null
hea_0015
worked_example
en
60 new cases arise in 100000 people. Find incidence per 100000.
[ "Count cases: 60.", "Per 100000: 60." ]
health
Answer: Incidence: 60 per 100000. Steps: 1. Count cases: 60. 2. Per 100000: 60.
diseases
Paracetamol eases pain and lowers fever within safe daily limits.
null
hea_0016
concept
en
What is paracetamol for?
[ "Paracetamol eases pain and lowers fever within safe daily limits.", "So the answer stands: Paracetamol eases pain and lowers fever within safe daily limits." ]
health
Answer: Paracetamol eases pain and lowers fever within safe daily limits. Steps: 1. Paracetamol eases pain and lowers fever within safe daily limits. 2. So the answer stands: Paracetamol eases pain and lowers fever within safe daily limits.
pharmacology_basics
Total: 90 compressions and 6 breaths.
null
hea_0017
worked_example
en
CPR runs 3 cycles of 30 compressions plus 2 breaths each. Count compressions and breaths.
[ "Compressions: 90.", "Breaths: 6." ]
health
Answer: Total: 90 compressions and 6 breaths. Steps: 1. Compressions: 90. 2. Breaths: 6.
first_aid
Očkováno je 680 dětí.
{ "A": "680", "B": "580", "C": "780", "D": "880" }
hea_0018
multiple_choice
cs
Město očkuje 85 % z 800 dětí. Kolik je očkováno?
[ "85 % z 800.", "Počet = 680.", "Vyber možnost A." ]
health
Answer: 680 Steps: 1. 85 % z 800. 2. Počet = 680. 3. Vyber možnost A. Answer: (A)
public_health
Both sides hold 54 bones.
{ "A": "54", "B": "52", "C": "56", "D": "58" }
hea_0019
multiple_choice
en
Each hand has 27 bones. How many in both hands?
[ "One side: 27.", "Double: 54.", "Select option A." ]
health
Answer: 54 Steps: 1. One side: 27. 2. Double: 54. 3. Select option A. Answer: (A)
anatomy
Healthy blood oxygen saturation is 95 to 100 percent.
null
hea_0020
concept
en
What is normal blood oxygen?
[ "Healthy blood oxygen saturation is 95 to 100 percent.", "So the answer stands: Healthy blood oxygen saturation is 95 to 100 percent." ]
health
Answer: Healthy blood oxygen saturation is 95 to 100 percent. Steps: 1. Healthy blood oxygen saturation is 95 to 100 percent. 2. So the answer stands: Healthy blood oxygen saturation is 95 to 100 percent.
physiology
Colds come mostly from rhinoviruses, giving a runny nose and mild illness.
null
hea_0021
concept
en
What causes the common cold?
[ "Colds come mostly from rhinoviruses, giving a runny nose and mild illness.", "So the answer stands: Colds come mostly from rhinoviruses, giving a runny nose and mild illness." ]
health
Answer: Colds come mostly from rhinoviruses, giving a runny nose and mild illness. Steps: 1. Colds come mostly from rhinoviruses, giving a runny nose and mild illness. 2. So the answer stands: Colds come mostly from rhinoviruses, giving a runny nose and mild illness.
diseases
Total: 15 tablets.
null
hea_0022
worked_example
en
Three-times-daily tablets for a 5-day course. Count all tablets.
[ "3 per day.", "5 × 3 = 15." ]
health
Answer: Total: 15 tablets. Steps: 1. 3 per day. 2. 5 × 3 = 15.
pharmacology_basics
Total: 200 compressions.
null
hea_0023
worked_example
en
CPR at 100 per minute runs 2 minutes. Count compressions.
[ "100 × 2.", "= 200." ]
health
Answer: Total: 200 compressions. Steps: 1. 100 × 2. 2. = 200.
first_aid
Očkováno: 792.
null
hea_0024
worked_example
cs
Město očkuje 88 % z 900 školáků. Spočítej očkované.
[ "88 % z 900.", "= 792." ]
health
Answer: Očkováno: 792. Steps: 1. 88 % z 900. 2. = 792.
public_health
Srdce bije 3660krát za hodinu.
{ "A": "3600", "B": "3660", "C": "3720", "D": "3780" }
hea_0025
multiple_choice
cs
Srdce bije 61krát za minutu. Kolik úderů za hodinu?
[ "Tep 61/min.", "Krát 60: 3660.", "Vyber možnost B." ]
health
Answer: 3660 Steps: 1. Tep 61/min. 2. Krát 60: 3660. 3. Vyber možnost B. Answer: (B)
anatomy
Cardiac output is 4.9 L/min.
{ "A": "4.9 L/min", "B": "5.4 L/min", "C": "4.4 L/min", "D": "5.9 L/min" }
hea_0026
multiple_choice
en
Heart rate 70 bpm, stroke volume 70 mL. What is cardiac output?
[ "HR 70, SV 70 mL.", "CO = 4.9 L/min.", "Select option A." ]
health
Answer: 4.9 L/min Steps: 1. HR 70, SV 70 mL. 2. CO = 4.9 L/min. 3. Select option A. Answer: (A)
physiology
Strep throat is a bacterial throat infection needing a test and antibiotics.
null
hea_0027
concept
en
What is strep throat?
[ "Strep throat is a bacterial throat infection needing a test and antibiotics.", "So the answer stands: Strep throat is a bacterial throat infection needing a test and antibiotics." ]
health
Answer: Strep throat is a bacterial throat infection needing a test and antibiotics. Steps: 1. Strep throat is a bacterial throat infection needing a test and antibiotics. 2. So the answer stands: Strep throat is a bacterial throat infection needing a test and antibiotics.
diseases
Ibuprofen is an anti-inflammatory drug for pain and swelling, best with food.
null
hea_0028
concept
en
What is ibuprofen?
[ "Ibuprofen is an anti-inflammatory drug for pain and swelling, best with food.", "So the answer stands: Ibuprofen is an anti-inflammatory drug for pain and swelling, best with food." ]
health
Answer: Ibuprofen is an anti-inflammatory drug for pain and swelling, best with food. Steps: 1. Ibuprofen is an anti-inflammatory drug for pain and swelling, best with food. 2. So the answer stands: Ibuprofen is an anti-inflammatory drug for pain and swelling, best with food.
pharmacology_basics
Call local emergency services at once, 112 across Europe, with location first.
null
hea_0029
concept
en
Which number do you call in an emergency?
[ "Call local emergency services at once, 112 across Europe, with location first.", "So the answer stands: Call local emergency services at once, 112 across Europe, with location first." ]
health
Answer: Call local emergency services at once, 112 across Europe, with location first. Steps: 1. Call local emergency services at once, 112 across Europe, with location first. 2. So the answer stands: Call local emergency services at once, 112 across Europe, with location first.
first_aid
Vaccinated: 792.
null
hea_0030
worked_example
en
Town vaccinates 88% of 900 schoolchildren. Count vaccinated.
[ "88% of 900.", "= 792." ]
health
Answer: Vaccinated: 792. Steps: 1. 88% of 900. 2. = 792.
public_health
Total: 7920 beats.
null
hea_0031
worked_example
en
Heart beats 66 times per minute. Find beats in 2 hours.
[ "Per hour: 3960.", "Double: 7920." ]
health
Answer: Total: 7920 beats. Steps: 1. Per hour: 3960. 2. Double: 7920.
anatomy
BMI: 21.5.
null
hea_0032
worked_example
en
Weight 62 kg, height 1.70 m. Find the BMI.
[ "BMI = kg / m².", "62 / 2.89.", "= 21.5." ]
health
Answer: BMI: 21.5. Steps: 1. BMI = kg / m². 2. 62 / 2.89. 3. = 21.5.
physiology
COVID-19 is caused by the SARS-CoV-2 coronavirus spreading person to person.
null
hea_0033
concept
en
What causes COVID-19?
[ "COVID-19 is caused by the SARS-CoV-2 coronavirus spreading person to person.", "So the answer stands: COVID-19 is caused by the SARS-CoV-2 coronavirus spreading person to person." ]
health
Answer: COVID-19 is caused by the SARS-CoV-2 coronavirus spreading person to person. Steps: 1. COVID-19 is caused by the SARS-CoV-2 coronavirus spreading person to person. 2. So the answer stands: COVID-19 is caused by the SARS-CoV-2 coronavirus spreading person to person.
diseases
The course needs 8 tablets.
{ "A": "8", "B": "6", "C": "10", "D": "12" }
hea_0034
multiple_choice
en
Twice-daily tablets for a 4-day course. How many tablets total?
[ "2 per day.", "4 × 2 = 8.", "Select option A." ]
health
Answer: 8 Steps: 1. 2 per day. 2. 4 × 2 = 8. 3. Select option A. Answer: (A)
pharmacology_basics
Total: 6 breaths.
null
hea_0035
worked_example
en
Two rescuers alternate every 2 minutes over 3 cycles of 30:2. Count total breaths.
[ "3 cycles.", "3 × 2 = 6." ]
health
Answer: Total: 6 breaths. Steps: 1. 3 cycles. 2. 3 × 2 = 6.
first_aid
Vaccines train immunity and shield communities through herd effects.
null
hea_0036
concept
en
How do vaccines protect?
[ "Vaccines train immunity and shield communities through herd effects.", "So the answer stands: Vaccines train immunity and shield communities through herd effects." ]
health
Answer: Vaccines train immunity and shield communities through herd effects. Steps: 1. Vaccines train immunity and shield communities through herd effects. 2. So the answer stands: Vaccines train immunity and shield communities through herd effects.
public_health
The heart beats 3660 times per hour.
{ "A": "3600", "B": "3660", "C": "3720", "D": "3780" }
hea_0037
multiple_choice
en
Heart beats 61 times per minute. How many beats per hour?
[ "Rate 61/min.", "Times 60: 3660.", "Select option B." ]
health
Answer: 3660 Steps: 1. Rate 61/min. 2. Times 60: 3660. 3. Select option B. Answer: (B)
anatomy
Normal blood pressure is below 120 over 80 mmHg.
null
hea_0038
concept
en
What is normal blood pressure?
[ "Normal blood pressure is below 120 over 80 mmHg.", "So the answer stands: Normal blood pressure is below 120 over 80 mmHg." ]
health
Answer: Normal blood pressure is below 120 over 80 mmHg. Steps: 1. Normal blood pressure is below 120 over 80 mmHg. 2. So the answer stands: Normal blood pressure is below 120 over 80 mmHg.
physiology
Vaccine efficacy is 80%.
{ "A": "70%", "B": "80%", "C": "90%", "D": "75%" }
hea_0039
multiple_choice
en
Attack rate 10% unvaccinated, 2% vaccinated. What is vaccine efficacy?
[ "1 − 2/10.", "VE = 80%.", "Select option B." ]
health
Answer: 80% Steps: 1. 1 − 2/10. 2. VE = 80%. 3. Select option B. Answer: (B)
diseases
Antihistamines relieve allergy symptoms like sneezing and itching.
null
hea_0040
concept
en
What are antihistamines for?
[ "Antihistamines relieve allergy symptoms like sneezing and itching.", "So the answer stands: Antihistamines relieve allergy symptoms like sneezing and itching." ]
health
Answer: Antihistamines relieve allergy symptoms like sneezing and itching. Steps: 1. Antihistamines relieve allergy symptoms like sneezing and itching. 2. So the answer stands: Antihistamines relieve allergy symptoms like sneezing and itching.
pharmacology_basics
Total: 120 compressions and 8 breaths.
null
hea_0041
worked_example
en
CPR runs 4 cycles of 30 compressions plus 2 breaths each. Count compressions and breaths.
[ "Compressions: 120.", "Breaths: 8." ]
health
Answer: Total: 120 compressions and 8 breaths. Steps: 1. Compressions: 120. 2. Breaths: 8.
first_aid
Celkem: 3 krabičkoroky.
null
hea_0042
worked_example
cs
Kuřák kouří půl krabičky denně po 6 let. Zjisti krabičkoroky.
[ "0,5 × 6.", "= 3." ]
health
Answer: Celkem: 3 krabičkoroky. Steps: 1. 0,5 × 6. 2. = 3.
public_health
Celkem je 128 zubů.
{ "A": "96", "B": "160", "C": "128", "D": "192" }
hea_0043
multiple_choice
cs
Klinika počítá zuby: 4 dospělí s plným chrupem. Kolik zubů celkem?
[ "32 na každého.", "4 × 32 = 128.", "Vyber možnost C." ]
health
Answer: 128 Steps: 1. 32 na každého. 2. 4 × 32 = 128. 3. Vyber možnost C. Answer: (C)
anatomy
The BMI is 21.5.
{ "A": "22.5", "B": "21.5", "C": "20.5", "D": "23.5" }
hea_0044
multiple_choice
en
Weight 62 kg, height 1.70 m. What is the BMI?
[ "62 / 1.7².", "BMI = 21.5.", "Select option B." ]
health
Answer: 21.5 Steps: 1. 62 / 1.7². 2. BMI = 21.5. 3. Select option B. Answer: (B)
physiology
Fatality rate is 1.5%.
{ "A": "2.5%", "B": "0.5%", "C": "1.5%", "D": "3.5%" }
hea_0045
multiple_choice
en
3 deaths among 200 cases. What is the case fatality rate?
[ "3 / 200.", "CFR = 1.5%.", "Select option C." ]
health
Answer: 1.5% Steps: 1. 3 / 200. 2. CFR = 1.5%. 3. Select option C. Answer: (C)
diseases
Each dose is 110 mg.
{ "A": "100 mg", "B": "110 mg", "C": "120 mg", "D": "130 mg" }
hea_0046
multiple_choice
en
Child weighs 11 kg, dose 10 mg/kg. How many mg per dose?
[ "11 kg × 10.", "Dose = 110 mg.", "Select option B." ]
health
Answer: 110 mg Steps: 1. 11 kg × 10. 2. Dose = 110 mg. 3. Select option B. Answer: (B)
pharmacology_basics
Push hard and fast at 100 to 120 compressions per minute.
null
hea_0047
concept
en
What is the CPR compression rate?
[ "Push hard and fast at 100 to 120 compressions per minute.", "So the answer stands: Push hard and fast at 100 to 120 compressions per minute." ]
health
Answer: Push hard and fast at 100 to 120 compressions per minute. Steps: 1. Push hard and fast at 100 to 120 compressions per minute. 2. So the answer stands: Push hard and fast at 100 to 120 compressions per minute.
first_aid
Ruce myjte mýdlem alespoň 20 sekund.
null
hea_0048
concept
cs
Jak dlouho mýt ruce?
[ "Ruce myjte mýdlem alespoň 20 sekund.", "Odpověď tedy platí: Ruce myjte mýdlem alespoň 20 sekund." ]
health
Answer: Ruce myjte mýdlem alespoň 20 sekund. Steps: 1. Ruce myjte mýdlem alespoň 20 sekund. 2. Odpověď tedy platí: Ruce myjte mýdlem alespoň 20 sekund.
public_health
Total: 84 teeth.
null
hea_0049
worked_example
en
Count total teeth in 2 adults with full sets plus one child with 20.
[ "Adults: 64.", "Plus child: 20.", "Sum: 84." ]
health
Answer: Total: 84 teeth. Steps: 1. Adults: 64. 2. Plus child: 20. 3. Sum: 84.
anatomy
Adults at rest breathe 12 to 20 times per minute.
null
hea_0050
concept
en
What is a normal breathing rate?
[ "Adults at rest breathe 12 to 20 times per minute.", "So the answer stands: Adults at rest breathe 12 to 20 times per minute." ]
health
Answer: Adults at rest breathe 12 to 20 times per minute. Steps: 1. Adults at rest breathe 12 to 20 times per minute. 2. So the answer stands: Adults at rest breathe 12 to 20 times per minute.
physiology