GATE ME Mock Test 1 (20 Questions, Free)
A free GATE Mechanical Engineering mock test with 20 original questions on SOM, TOM, design, fluids, thermodynamics, heat transfer, manufacturing and IE.
This mock test has 20 original GATE-style questions across the mechanical engineering syllabus. Give yourself 60 minutes, write your answers on paper, then open each question to check. Score +1 per correct answer and −1/3 per wrong MCQ.
Mechanics and strength of materials
A material has E = 200 GPa and Poisson's ratio 0.25. What is its shear modulus G in GPa?
Show answer and explanation
Answer: 80G = E/(2(1 + ν)) = 200/2.5 = 80 GPa.
At a point σx = 80 MPa, σy = 20 MPa and τxy = 40 MPa. What is the major principal stress in MPa?
Show answer and explanation
Answer: 100σ₁ = 50 + √(30² + 40²) = 50 + 50 = 100 MPa.
A thin cylinder of diameter 1 m and wall thickness 10 mm holds a pressure of 2 MPa. What is the hoop stress in MPa?
Show answer and explanation
Answer: 100σ_h = pd/(2t) = 2 × 1000/(2 × 10) = 100 MPa.
Theory of machines, vibrations and design
A system has m = 1 kg, k = 100 N/m and c = 10 N·s/m. What is the damping ratio?
Show answer and explanation
Answer: 0.5ζ = c/(2√(km)) = 10/(2 × 10) = 0.5.
A gear with 20 teeth turning at 600 rpm drives a gear with 60 teeth. What is the speed of the driven gear in rpm?
Show answer and explanation
Answer: 200N₂ = N₁ × T₁/T₂ = 600 × 20/60 = 200 rpm.
A ball bearing has a dynamic load rating of 20 kN and carries 5 kN. What is its L₁₀ life in million revolutions?
Show answer and explanation
Answer: 64L₁₀ = (C/P)³ = 4³ = 64 million revolutions.
Which failure theories are commonly used for ductile materials? (Select all that apply.)
Show answer and explanation
Answer: A, BTresca and von Mises suit ductile materials; the maximum principal stress theory is used for brittle materials.
Fluid mechanics
Laminar flow in a pipe has Reynolds number 1600. What is the Darcy friction factor?
Show answer and explanation
Answer: 0.04f = 64/Re = 64/1600 = 0.04.
A water jet (ρ = 1000 kg/m³) with flow rate 0.01 m³/s and velocity 20 m/s strikes a fixed flat plate normally. What is the force on the plate in N?
Show answer and explanation
Answer: 200F = ρQV = 1000 × 0.01 × 20 = 200 N.
Thermodynamics
An Otto cycle has compression ratio 8 and γ = 1.4. What is its efficiency? (Give 3 decimal places.)
Show answer and explanation
Answer: 0.565η = 1 − 1/8^0.4 = 1 − 1/2.297 ≈ 0.565.
A Carnot refrigerator works between 250 K and 300 K. What is its COP?
Show answer and explanation
Answer: 5COP = T_L/(T_H − T_L) = 250/50 = 5.
In a closed system, 100 kJ of heat is added and the system does 40 kJ of work. What is the change in internal energy in kJ?
Show answer and explanation
Answer: 60ΔU = Q − W = 100 − 40 = 60 kJ.
Heat transfer
Two walls are in series: R₁ = 0.2 K/W and R₂ = 0.3 K/W. The overall temperature difference is 100 K. What is the heat flow in W?
Show answer and explanation
Answer: 200Q = ΔT/(R₁ + R₂) = 100/0.5 = 200 W.
A heat exchanger has ΔT₁ = 60 K and ΔT₂ = 20 K. What is the LMTD in K? (Give 2 decimal places.)
Show answer and explanation
Answer: 36.41LMTD = 40/ln 3 = 40/1.0986 ≈ 36.41 K.
Lumped capacitance analysis is valid when the Biot number is:
Show answer and explanation
Answer: AFor Bi < 0.1 the temperature inside the body is nearly uniform, so it can be treated as lumped.
Manufacturing and industrial engineering
Taylor's equation is VT^0.5 = 400. At V = 100 m/min, what is the tool life in minutes?
Show answer and explanation
Answer: 16T^0.5 = 4, so T = 16 minutes.
In orthogonal cutting, rake angle α = 10° and friction angle β = 40°. By Merchant's theory, what is the shear angle in degrees?
Show answer and explanation
Answer: 302φ + β − α = 90°, so φ = (90 + α − β)/2 = (90 + 10 − 40)/2 = 30°.
Fixed cost is ₹20,000, selling price ₹50 per unit and variable cost ₹30 per unit. What is the break-even quantity?
Show answer and explanation
Answer: 1000BEP = 20000/(50 − 30) = 1000 units.
Which of these are non-traditional machining processes? (Select all that apply.)
Show answer and explanation
Answer: A, BEDM and LBM remove material without a conventional cutting tool; turning and milling are conventional processes.
In a simple exponential smoothing forecast with α = 0.2, last forecast 100 and actual demand 120, what is the new forecast?
Show answer and explanation
Answer: 104F_new = F + α(D − F) = 100 + 0.2 × 20 = 104.
Your score
| Score (out of 20) | What it means |
|---|---|
| 16 and above | Strong: move to full-length papers |
| 10 – 15 | Revise the subjects where you lost marks |
| Below 10 | Go back to the lessons, then retake after two weeks |
Revise with the formula sheet and follow the study plan.