GATE 2026 Question Paper

‘The team ______ more than 300 runs in 20 overs __________ rains. However, some players needed to improve their batting skills.’
Choose the option with the correct sequence of words to fill the blanks.

If a positive real \(x\) satisfies \(\log_2 x + \log_{\sqrt{2}} x = 48\), then the value of \(x\) is

The next figure (indicated by ‘?’) in the sequence is

‘All the mangoes in the basket are good.’
If the above statement is false, then which one of the following statements is necessarily true?

Consider the following statements about four numbers:
(S1) The average of the four numbers is 25
(S2) Each number is at most 40
(S3) Each number is at least 20
Choose the option that is necessarily correct.

Choose the correct sequence: “People are crowding around ___ pit into which ___ elephant has fallen... bewildered ___ miserable... look up ___ a vast, curiosity-stricken crowd.”

Five products P,Q,R,S,T. 250 items sold, avg price Rs.60. S=2T, R=3T, Q=4T. Prices: P=100, Q=50, R=40, S=60, T=60. Quantity of P sold?

String P length \(l\) (diameter), K = semicircle. Both shortened by \(x\); K becomes full circle with P as diameter. Value of \(x/l\):

Meritorius, brother, son, daughter: seating in 2×2 grid. (i) daughter & brother same column; (ii) son diagonally across sibling of worst orator; (iii) best & worst same row. Who is best orator?

Which pattern (P, Q, R, S) generates the given figure?

Given \(f(t)=e^{-at}\). The Laplace transform \(\mathcal{L}[f(t)]=F(s)\). Which is correct?

Correct pair of eigenvectors for \(\begin{bmatrix}1&2\\2&4\end{bmatrix}\)?

Given \(w=f(ax+by)\), value of \(\left(b\frac{\partial w}{\partial x}-a\frac{\partial w}{\partial y}\right)\) is:

Which fusion welding technique results in least Heat-Affected Zone (HAZ)?

During metallography, Nital is most commonly used for etching ____________.

In a face-centered cubic metal, Shockley partial is:

Deformation mechanism map is used for determining which property?

Which dislocation dissociation reaction is feasible in FCC metals?

Correct sequence for precipitation hardening of Al–4% Ag alloy:

Which one is NOT a state function?

For a regular solution (\(\Delta H_{mix}\) = enthalpy of mixing, \(\Delta S_{mix}\) = entropy of mixing):

During spinodal decomposition, uphill diffusion occurs:

Correct precipitation sequence in Al–4 wt.% Cu during isothermal aging:

After cold-working, during the recovery stage, electrical conductivity:

Red mud is generated in the production of:

Residual stress can be determined by which technique?

Sherwood number for convective mass transfer (laminar flow over flat plate) is a function of:

Convective heat transfer coefficient is NOT dependent on:

Ergun equation is NOT applied in which unit operation?

Here “A” is Helmholtz free energy and “G” is Gibbs free energy. Choose correct option(s).

Which element(s), when present in iron, enhance(s) its corrosion resistance?

Value of scalar triple product \(\vec{a}\cdot(\vec{b}\times\vec{c})\) (answer in integer).
\(\vec{a}=2\hat{i}-3\hat{j}+4\hat{k}\), \(\vec{b}=\hat{i}+2\hat{j}-3\hat{k}\), \(\vec{c}=3\hat{i}+4\hat{j}-\hat{k}\)

20 thermometers, 3 defective. Draw 2 without replacement. Probability (%) that none is defective (round to 2 decimal places) is _____ %.

For binary A-B phase diagram at constant pressure, degree of freedom at point X (in two-phase L+S region) is (integer).

Two parallel plates 2 mm apart, lower plate moves at 4 m/s, shear force 5 N/m². Viscosity (round to 2 decimal places) = _____ ×10⁻³ N·s/m².

Match crystal systems with axial lengths/angles:
P) Tetragonal, Q) Rhombohedral, R) Orthorhombic, S) Monoclinic
1) a≠b≠c, α=β=γ=90°   2) a=b≠c, α=β=γ=90°   3) a≠b≠c, α=γ=90°≠β   4) a=b=c, α=β=γ≠90°

Match: P) Paris Law, Q) Schmid Factor, R) Larson-Miller Parameter, S) Portevin-Le Chatelier Effect
with 1) Creep, 2) Fatigue, 3) Dynamic Strain Aging, 4) Critical Resolved Shear Stress

Match defects: P) Edge Cracking, Q) Flashline Cracking, R) Chevron Cracking, S) Cracked Core
with processes: 1) Casting, 2) Forging, 3) Rolling, 4) Extrusion

Match NDT: P) Internal flaws in railroad wheel, Q) In-service crack monitoring, R) Inclusion in mild steel, S) Surface crack in Al alloy
with 1) Ultrasonic, 2) Radiography, 3) Dye Penetrant, 4) Acoustic Emission

Steady-state laminar flow: \(\eta\frac{1}{r}\frac{d}{dr}\!\left(r\frac{dv_z}{dr}\right)-\frac{dP}{dz}=0\)
Which statement is NOT correct?

Match: P) COREX, Q) Bayer, R) Matte Smelting, S) MIDREX
with products: 1) DRI, 2) Pig Iron, 3) Alumina, 4) Copper

Match: P) Wiedemann-Franz law, Q) Neel temperature, R) Hall voltage, S) Curie law
with: 1) Charge carrier concentration, 2) Paramagnetism, 3) Thermal/electrical conductivity ratio, 4) Diamagnetism, 5) Anti-ferromagnetism

Permeability of a porous bed of spherical particles is/are:

PDF: \(f(x)=0.5\) for \(0

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