GATE 2020 PI – Previous Year Questions with Solutions
All 65 questions of GATE 2020 PI with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – While I agree his proposal this time, I do not often agree him.
- Question 2 – The recent measures to improve the output would the level of production to our satisfaction.
- Question 3 – Select the word fitting the analogy: White : Whitening :: Light : .
- Question 4 – In one of the greatest innings in142 years of Test history, Ben Stokes upped the tempo during a five-and-a-half-hour,219-ball stay, hitting11 fours…
- Question 5 – A product passes through five levels P,Q,R,S,T and then reaches customers. It costs₹120 at P and its price rises25% at each of the five levels. What…
- Question 6 – Climate change and resilience deal with reducing nonrenewable-energy sources and reducing vulnerability to climate-change impacts. “Mitigation” and…
- Question 7 – Find the missing element in the six-pointed figure.
- Question 8 – 52 workers can complete a highway strip in10 days.12 are sent elsewhere before the work begins. With unchanged individual productivity, how many extra…
- Question 9 – The graph shows XY varying linearly with Z along a straight line through the origin. Which statement is FALSE?
- Question 10 – The charts show percentages by university stream for all students and for girls. There are5000 students and1500 girls. Find the ratio of Arts boys to…
- Question 11 – Find the divergence of v=y2 i+z2 j+x2 k.
- Question 12 – An integrating factor for dy/dx+my=e-mx is
- Question 13 – For complex z₁=2+3i and z₂=4−5i, evaluate (z₁+z₂)².
- Question 14 – Use one Newton–Raphson iteration for x²−2=0 from x₀=1.0. Find x₁.
- Question 15 – A random variable has mean5 and variance1. Find E[X²].
- Question 16 – Match steel phases P ferrite, Q austenite, R martensite to crystal structures1 HCP,2 BCC,3 BCT,4 FCC.
- Question 17 – Body P rests on body Q on horizontal ground. Weights are Wp,Wq, all contacts are frictionless and the system is at rest. R denotes the interbody…
- Question 18 – A mechanism has revolute pairs1–2,2–3,3–4 and a prismatic pair1–4, as shown. Which link must be fixed to obtain the quick-return inversion commonly…
- Question 19 – For the illustrated plane-stress state, σx denotes the shown tensile magnitude and σy the shown compressive magnitude. The material has Young modulus…
- Question 20 – The illustrated one-rivet joint carries transverse force F. Ignore rivet bending; allowable shear stress is τ and rivet diameter d. Find minimum d.…
- Question 21 – Oil flows with Reynolds number1500 in a5 cm pipe. Its kinematic viscosity is0.75 cm²/s. Find mean speed in m/s.
- Question 22 – A Carnot engine receives600 kJ/cycle from627°C and rejects heat to27°C. Find rejected heat per cycle in kJ (nearest integer).
- Question 23 – Which process makes long fibre-reinforced-plastic bars of uniform cross-section?
- Question 24 – The ratchet in a micrometer serves to
- Question 25 – End-mill cutters are mounted in a vertical milling spindle using a
- Question 26 – Self-sharpening tendency of a conventional grinding wheel depends on its
- Question 27 – Which nontraditional machining process uses mechanical energy as its principal material-removal source?
- Question 28 – After sintering a powder-metallurgy self-lubricating bearing, which secondary operation is important?
- Question 29 – Which is a causal forecasting method?
- Question 30 – Which product-development approach combines design, manufacturing and other functions to reduce time to market?
- Question 31 – Bellman’s principle of optimality is associated with
- Question 32 – Which formula defines process capability ratio Cp? USL/LSL are specification limits, UCL/LCL control limits and σ process standard deviation.
- Question 33 – A ductile tensile specimen has ultimate engineering stress400 MPa and25% elongation at maximum load. Find true stress at maximum load in MPa.
- Question 34 – Three independent series components have equal reliability r. The system must have reliability98%. Find each component reliability (three decimals).
- Question 35 – The product structure shows quantities needed per parent. How many units of component D are required for10 units of product P?
- Question 36 – Find the general solution of x2y+xy-y=0 for x≠0.
- Question 37 – Which pair consists of eigenvectors of A=pmatrix1&5\\3&3pmatrix?
- Question 38 – Two hinged bars PR and QR make angles α and β with the vertical and support weight W at joint R. Find tension in QR.
- Question 39 – A simply supported beam of length L carries uniform transverse load W N/m. Its rectangular section has width b and depth t. Find the maximum…
- Question 40 – Rectangle vertices are P(−4,−2),Q(−2,−3),R(−3,−5),S(−5,−4). Translate by+6 in x and+3 in y. Find the new vertices.
- Question 41 – Under Taylor’s principle, a GO gauge
- Question 42 – Match stages P introduction,Q growth,R maturity,S decline to1 increased production capacity,2 rejuvenating the product,3 maximizing product…
- Question 43 – Maximize Z=3x₁+2x₂ subject to x₁+2x₂≤2,2x₁+x₂≤2 and x₁,x₂≥0. Find the shadow price of resource2.
- Question 44 – A lot of1000 is subject to rectifying inspection with single sampling n=60 and acceptance number1. At acceptable quality level1%, find producer’s risk…
- Question 45 – For y=−x²+9x−2, approximate 15y\,dx by Simpson’s one-third rule with two intervals (two decimals).
- Question 46 – A density is f(x)=kx²/2 for −1≤x≤1 and zero elsewhere. Find k.
- Question 47 – A solid shaft transmits50 kW at1910 rpm, with no bending. Allowable shear stress is80 MPa. Find minimum diameter in cm (one decimal).
- Question 48 – A flywheel’s mean of maximum/minimum speeds is500 rpm, and maximum energy fluctuation is10000 N m. Other rotary inertias are negligible. Find inertia…
- Question 49 – A large tank contains5 m water depth under surface pressure0.2 MPa. A small smooth bottom tap opens to atmosphere at0.1 MPa. With water density1000…
- Question 50 – A12 mm steel ball cools from1225 K to475 K in ambient325 K. Heat-transfer coefficient30 W/(m² K), density7800 kg/m³ and cp600 J/(kg K). Using lumped…
- Question 51 – A rigid insulated vessel contains3 kg argon initially at3 bar and27°C. A paddle wheel supplies0.015 kW for30 min. With cv=0.3122 kJ/(kg K), find final…
- Question 52 – In the dimensioned part, the distance from the left outer face to the right edge of slot A is100±0.5 mm. The left end width is40±0.1 mm; the right end…
- Question 53 – A sand casting cavity measures60×40×20 cm and has a cylindrical side blind riser with height equal to diameter. Riser solidification time must exceed…
- Question 54 – A90 mm cylindrical billet is extruded into the illustrated I-section. Mean flow stress is80 MPa and p e= m[0.8+1.2(A 0/A f)]. Find extrusion force in…
- Question 55 – A resistance spot weld initially generates2000 J. With resistance unchanged, current rises25% and duration halves. Find new heat in J (one decimal).
- Question 56 – A cast-iron blind hole is bored to25 mm diameter and100 mm depth in one pass. Cutting speed100 m/min, feed0.1 mm/rev and approach allowance2 mm. Find…
- Question 57 – Taylor’s tool-life exponent is n=0.5. If cutting speed is halved with all other conditions unchanged, find percentage increase in tool life.
- Question 58 – A lossless waterjet uses pressure500 MPa and nozzle-orifice diameter0.25 mm. With water density1000 kg/m³, find mass flow in kg/min (two decimals).
- Question 59 – A CNC z-axis lead screw has2 threads/cm and is directly driven by a servo motor. Its encoder emits100 pulses/revolution. Find control resolution in…
- Question 60 – Project activities have the following duration in weeks and immediate predecessors. P: 7, none; Q: 4, none; R: 2, Q; S: 11, P; T: 9, P and R; U: 9, Q;…
- Question 61 – Machine A has cost CA(x)=10000+170x+x² rupees; B costs CB(x)=15000+400x. Find the minimum positive integer output at which B is preferred.
- Question 62 – An old copier has availability90% and MTBF200 days. A new copier has availability95% and mean repair time5 days longer. Find new MTBF in days (nearest…
- Question 63 – A factory produces200 components/day for300 days/year. Demand is15000/year, setup cost₹200/run and holding cost₹2 per unit-year. Find economic…
- Question 64 – Assembly tasks have times and predecessors:P20 s(none),Q25 s(P),R10 s(Q),S15 s(Q),T25 s(R,S). At maximum output rate, find line efficiency in percent.
- Question 65 – A worker averages15 min/job at performance rating120%. How long would an80%-rated worker take for the same job in minutes (one decimal)?