GATE 2026 Question Paper with Solutions - Download Last Year PDF for All Subjects

GATE Official Question Paper

IIT Guhawati has released the GATE 2026 Official Question Paper subject wise, below we provided the GATE 2026 Question Paper.

GATE 2026 Memory-Based Question

Below, we have provided the shift-wise unofficial GATE 2026 questions that are collected from students to help future aspirants understand the exam pattern and key topics.

GATE 2026 February 15 DA Memory-based questions Afternoon Session:

The afternoon session of the GATE 2026 DA paper held on February 15 has now concluded. Below, we have compiled memory-based questions shared by candidates to help you analyse the exam pattern, important topics, and overall difficulty level.

Question 1: Which of the following is not an uninformed search?

(A) DFS

(B) BFS

(C) A*

(D) DLS

Question 2: Node size = 4096 B
Node pointer =10 B
Search key = 11 B
Record pointer = 12 B
Find the maximum number of node pointers.

Question 3: Which of the following recurrence relations represents the average case time complexity of QuickSort?
(A) T(n)=T(n/4)+T(3n/4)+O(n)
(B) T(n)=2T(n/2)+O(n)
(C) T(n)=1n∑k=0n−1[T(k)+T(n−k−1)]+O(n)
(D) T(n)=T(1)+T(n−1)+O(n)

Question 4: Consider the relation R(A,B,C,D,E)
Functional Dependencies:

A→BC, CD→E, E→A
Find the number of candidate keys.

Question 5: Which of the following logical statements is not valid?
(A) ∀xP(x)⇒∃x¬P(x)
(B) ∀xP(x)⇒∃xP(x)
(C) ∃xP(x)⇒∀xP(x)
(D) ∃xP(x)⇔∀xP(x)

Question 6: Consider a binary tree whose preorder traversal is

P,Q,S,E,R,F,G

and inorder traversal is

S,Q,E,P,F,R,G.
Which of the following statements is correct?
(A) Node Q has only one child.
(B) Postorder traversal is S,E,Q,F,G,R,P.
(C) P is the root of the tree.
(D) The left subtree of node R contains node G.

Question 7: Consider the Visualisation of a 3-dimensional data cube showing sales quantity for each combination of attributes: Product type, Month and Country. From the visualization, to see the sales quantity for each combination, which of following OLAP operations should be performed?

(A) Slice

(B) Dicing

(C) Rollup

(D) drill down

GATE 2026 February 15 EC Memory-based questions Forenoon Session:

The forenoon session of the GATE 2026 EC paper held on February 15 has now concluded. Below, we have compiled memory-based questions shared by candidates to help you analyse the exam pattern, important topics, and overall difficulty level.

Question 1: Find the transmission Parameters.

Question 2: In the given op-amp circuit, the non-inverting terminal is grounded. The input voltage is 2 V applied through 1kΩ. The feedback resistor is 1kΩ. The output is connected to a 2kΩ load to ground and also through a 2kΩ resistor to the op-amp output. Find the output voltage V0 and currents I1,I0, and Ix.

Question 3: Consider the system described by the difference equation

y(n)=56y(n−1)−16(4−n)+x(n).
Determine whether the system is linear and time-invariant (LTI).

Question 4: Find P1+P2+⋯+P10 if Pk is the perimeter of a square having side length k.

Question 5: Find the remaining part of the given diagram:

Question 6: Find the value of n. If logp1/2⁡y×logy1/2⁡p=16

Question 7: A MOD- 64 ripple counter can be designed using how many flip-flops?

A) 4

B) 5

C) 6

D) 7

Question 8: Find the area of the square shown in the figure whose vertices are at (0,0),(1,1),(2,0) and (1,−1).

Question 9: Find the 10 's complement of (47)^10.

Question 10: Find the logic function performed by the below circuit:

Question 11: Find the cut-off frequency (in GHz ) of rectangular waveguide supporting TE10 mode having dimensions 0.28×0.14 inches.

Question 12: Identify the type of polarisation for the EM value given, E=E0[cos⁡(ωt+kz)a^x+sin⁡(ωt+kz)a^y]
(A) Left circularly polarised
(B) Right circularly polarised
(C) Linearly polarised
(D) Left elliptically polarised

Question 13: What is the dominant transport mechanism for current flow in zener breakdown?
(A) Drift
(B) Diffusion
(C) Ballistic transport
(D) Tunnelling

GATE 2026 February 14 CE-2 Memory-based questions Afternoon Session:

Some memory-based questions are added below:

Question 1: A portal frame has a span of 4 m(2 m+2 m) and a height of 3 m . The left base is hinged and the right base is roller supported. A horizontal load of 50 kN acts at the top left joint. A vertical concentrated load of 90 kN acts at the midspan of the top beam. Determine the absolute value of the maximum bending moment in the frame.

Question 2: A bridge has an expected design life of 50 years. It is designed for a flood discharge of 1000 m3/s, which corresponds to a return period of 100 years. Determine the risk (probability) that the design flood will be equalled or exceeded at least once during the design life of the bridge. (Enter the numerical value of risk in decimal form, correct up to three decimal places.)

Question 3: A rectangular catchment ABCD has an area of 7 hectares. The times of concentration from the four extreme points A, B, C and D to the outlet are 10, 20, 15 and 25 minutes, respectively. The rainfall intensity-duration relationship is given by I=25t+20, where I= rainfall intensity in cm/hr and t= time of concentration in minutes. The runoff coefficient of the catchment is 0.4. Determine the peak discharge from the catchment. (Enter the numerical value only in m3/s.)

Question 4: Match the following:

Question 5: Long-term deformation of a material under sustained constant loading is primarily governed by:
(A) Creep
(B) Modulus of toughness
(C) Modulus of resilience
(D) Yield strength

Question 6: Given the following data: x:(−2,1,2), y:(28,4,16). Let P2(x) be the quadratic interpolating polynomial passing through the above three points. Find the value of P2(0).

Question 7: Which of the following methods are used to check whether the flexural stresses in a prestressed concrete beam remain within permissible limits at transfer and final stages? Select all the correct option(s).
(A) Hoyer's effect
(B) Limiting zone of prestress method
(C) Magnel's graph
(D) Load balancing method

Question 8: Let P=(101010101). Which of the following statements is/are correct?
(1) PTP=I
(B) P is skew-symmetric
(C)The value of each eigenvalue of P is 1
(D) The trace of P is equal to the sum of its eigenvalues

Question 9: Bag-I contains 4 white and 6 black balls, Bag-II contains 4 white and 3 black balls. A ball is selected at random and it comes out to be a black ball. What is the probability that it is from Bag I?

Question 10: Algae is used where?
A) Septic tank
B) Oxidation Pond
C) Trickling filter
D) Slow Sand filter

GATE 2026 CE-1 February 14 Memory-Based questions(Forenoon Session)

Memory-Based Question

Question 1: Consider a soil sample where the following parameters are defined:
S = Soil suction head
K= Hydraulic conductivity
w= Moisture content

If the moisture content (w) of the soil increases, which of the following statements regarding the soil suction head (S) and hydraulic conductivity (K) is correct?

(A) Both S and K increase.
(B) Both S and K decrease.
(C) S increases while K decreases.
(D) S decreases while K increases.

Question 2: A clay deposit is found to have a natural water content and void ratio that corresponds to a preconsolidation pressure ( σp′ ) that is greater than the present effective overburden pressure ( σo′ ). This clay is best classified as:
(A) OCC (Over Consolidated Clay)
(B) LCC (Lightly Consolidated Clay)
(C) NCC (Normally Consolidated Clay)
(D) Quick Clay

Question 3: For a two-lane, two-way highway, the length of a summit curve is ideally designed based on which parameter to ensure full operational efficiency (overtaking opportunities)?
(A) Lateral friction ( f )
(B) Centrifugal acceleration ( ac )
(C) Stopping Sight Distance (SSD)
(D) Overtaking Sight Distance (OSD)

Question 4: In a rectangular open channel, a hydraulic jump occurs. The ratio of the post-jump depth (y2) to the pre-jump depth (y1) is measured to be 2 . What is the Froude number (Fr1) of the flow immediately before the jump?
(A) 2
(B) 1.5
(C) 3
(D) 2.5

Question 5: Match the Gradually Varied Flow (GVF) profiles on a mild slope ( M₁,M₂,M₃ ) with the nature of their water surface slope (dy/dx) relative to the flow direction.
Profile \& Nature of Slope (dy/dx)
P. M₁ Profile \& 1. Positive (Rising Curve)
Q. M₂ Profile \& 2. Negative (Drawdown Curve)
R. M₃ Profile \& 3. Positive (Rising Curve)

Select the correct classification:
(A) M₁ is Rising, M₂ is Rising, M₃ is Falling
(B) M₁ is Rising, M₂ is Falling, M₃ is Rising
(C) M₁ is Falling, M₂ is Rising, M₃ is Falling
(D) M₁ is Rising, M₂ is Falling, M₃ is Falling

Question 6: The Rational Method formula for estimating peak runoff is given as Q=CiA360. For the result Q to be in cubic meters per second (m3/s), what must be the units of rainfall intensity (i) and catchment area (A) ?
(A) i in cm/hr, A in km2
(B) i in mm/hr, A in km2
(C) i in mm/hr, A in hectares
(D) i in m/hr, A in hectares

Overall Analysis

Overall difficulty level: The overall difficulty level of the exam was Moderate to slightly tough.

The General Aptitude section was scoring and the core civil engineering section was conceptual and lengthy. The core technical section contained lengthy and conceptual questions.

Number of questions asked

GATE 2026 February 14 EE Memory-based questions Forenoon Session:

Memory-based questions:

Question 1: Given an open-loop transfer function GH=100s(s+100) for a unity feedback system with a unit step input r(t)=u(t), determine the rise time tr.

Question 2: Consider a linear time-invariant system represented by the state-space equation:

x˙=[ab−a0]x+[10]u
The closed-loop poles of the system are located at −2±j3. The value of the parameter b is:
(A) 3.25
(B) -3.25
(C) 13
(D) -13

Question 3: Consider a linear active two-terminal network connected across terminals Y and Z. If the Thevenin equivalent resistance ( RTH ) of this network is calculated to be 0Ω, the network behaves essentially as an?
(A) Ideal Current Source
(B) Ideal Voltage Source
(C) Practical Voltage Source
(D) Open Circuit

Question 4: A single-phase two-winding transformer is rated at 15kVA, 1100/220 V. It is reconnected as an autotransformer with a voltage rating of 1320/1100 V. Find the kVA rating of the autotransformer?

Question 5: Which of the following statements is correct about the small-signal voltage gain of single-stage MOSFET amplifiers? Consider the statement: "Both common source and common gate amplifiers are inverting amplifiers."
(A) The statement is correct.
(B) The statement is incorrect.

Question 6: For the inverting operational amplifier circuit shown below, determine the closed-loop voltage gain ( Acl=Vout /Vin ). The op-amp has an open-loop gain AOL=105.
(A) -20
(B) 20
(C) -19.996
(D) -20.042

Question 7: If P and Q are positive integers such that P^2=Q^2+13, find the value of the product PQ.
(A) 13
(B) 42
(C) 49
(D) 36

GATE 2026 February 8 CSE Memory based questions Forenoon Session:

Question 1: Let M be a Non deterministic Finite Automara (NFA) with 6 state over Finite Alphabet. which of the Following can't be No. of states in minimal deterministic Finite Autonata. that is Equivalent to m
A) 1
B) 32
C) 65
D) 128

Question 2: Consider the following C statement:
char * str1 = "Hello"; // stmt S
char * str2 = "Hello"; // stmt S.
char * str3 = "Hello" || stmt S 3

Which of the following are correct?
(A) S1 and S2 are lexical errors
(B) S2 is lexical and S3 is semantic
(C) S2 is syntax and S3 is semantic
(D) S1 is lexical and S3 is syntax

Question 3: Which of the following is always true for LL(1) parser?
(A) Grammar must be left factored
(B) LL(1) parser is more powerful than SLR(1).
(C) LL(1) is non back tracking.
(D) Grammar must be left recursive.

Question 4:Consider a relation R(A,B,C,D) and functional dependencies of X→Y. Which of the following statement are correct?
(A) If PQ→R, then P→R or Q→R.
(B) If P→R and Q→S, then PQ→RS.
(C) If P→R, then PQ→R.
(D) If PQ→R and P→R, then Q→R.

Question 5: For n>1, the maximum multiplicity of any eigenvalue of an n×n matrix with real entries is?
(A) n−1
(B) n+1
(C) n
(D) 1

Question 6: Which of the following is correct about the TCP connection?
(A) Two-way handshaking.
(B) TCP is half duplex.
(C) The server can't initiate closing of connection before client.
(D) Client and server initiate closing connection at same time.

Question 7: There are 5 processes in a system. The maximum number of records a process can take is 2 . At a time, a process can take only a single resource and can free only a single resource. How many records are required to ensure deadlock-free execution ____ ?

Question 8: Consider TLB, cache and MMU with paging. Which is never be true?
(A) TLB miss, PT hit, cache hit
(B) TLB miss, PT miss, cache miss
(C) TLB miss, PT miss, cache hit
(D) TLB hit, PT miss, cache hit

Question 9: A n×n, n>1. If (1,0,1,0,0,…,0)∈R n belongs to the null space of A then?
(A) |A| = 0
(B) |A| = 1
(C) Rank A=1
(D) There are at least 2 non zero vectors in the null space of A.

Question 10: An unbiased six faced dice whose faces are marked with 1,2,3,4,5 and 6 is rolled twice. The probability that the number appearing in the second roll is an integer multiple of the number appearing in the first roll?
(A) 1/6
(B) 5/18
(C) 7/18
(D) 5/6

GATE 2026 CSE Question Paper 8 Feb Afternoon Session:

This section has been updated with the memory-based questions of GATE 2026 CSE second shift question paper.

Question 1: Consider three machines M,N, and P with IP addresses 100.10.5.2, 100.10.5.5, and 100.10.5.6 respectively. The subnet mask is set to 255.255 .255 .252 for all the three machines. Which one of the following is true?
(A) M,N, and P all belong to the same subnet
(B) Only M and N belong to the same subnet
(C) Only N and P belong to the same subnet
(D) M,N, and P belong to three different subnets

Question 2: Assume that in a certain computer, the virtual addresses are 64 bits long and the physical addresses are 48 bits long. The memory is word addressible. The page size is 8 kB and the word size is 4 bytes. The Translation Look-aside Buffer (TLB) in the address translation path has 128 valid entries. At most how many distinct virtual addresses can be translated without any TLB miss?
(A) 16×210
(B) 256×210
(C) 4×220
(D) 8×220

Question 3: An array of 25 distinct elements is to be sorted using quicksort. Assume that the pivot element is chosen uniformly at random. The probability that the pivot element gets placed in the worst possible location in the first round of partitioning (rounded off to 2 decimal places) is?

Question 4: Which of the following protocol pairs can be used to send and retrieve e-mails (in that order)?
(A) IMAP, POP3
(B) SMTP, POP3
(C) SMTP, MIME
(D) IMAP, SMTP

Question 5: Which one of the following kinds of derivation is used by LR parsers?
(A) Leftmost
(B) Leftmost in reverse
(C) Rightmost
(D) Rightmost in reverse

Question 6: A certain processor uses a fully associative cache of size 16 kB. The cache block size is 16 bytes. Assume that the main memory is byte addressable and uses a 32 -bit address. How many bits are required for the Tag and the Index fields respectively in the addresses generated by the processor?
(A) 24 bits and 0 bits
(B) 28 bits and 4 bits
(C) 24 bits and 4 bits
(D) 28 bits and 0 bits

Question 7: The search engine's business model around the fulcrum of trust.
(A) revolves
(B) plays
(C) sinks
(D) bursts

Question 8: A day can only be cloudy or sunny. The prob. of day being cloudy is 0.5 , independent of the condition on other days. What is prob. that in any given four days, there will be 3 cloudy days 1 \& one sunny day?
(A) 1/4
(B) 2/3
(C) 3/4
(D) 3/8

Question 9: A die is thrown twice. What is the probability that sum of the outcomes is a prime no.?
(A) 15/36
(B) 19/36
(C) 13/36
(D) 3/36

Question 10: Let R be a binary relation on the set A={1,2,…,10} defined by (x,y)∈R⟺xy is a perfect square. Which of the following properties does R satisfy?
(A) Symmetric
(B) Antisymmetric
(C) Transitive
(D) Reflexive

Question 11: Which of the following CPU scheduling algo cannot be pre-emptive?
(A) RR (Round Robin)
(B) SRTF (Shortest Remaining Time First)
(C) Priority
(D) FCFS (First Come First Served)

Question 12: If an IP network uses a S.M of 255.255.208.0, the max number of IP add. that can be assigned to network interfaces is ____ .

GATE 2026 February 7 Memory Based Questions:

Below, we have provided the shift-wise GATE 2026 February 7 memory-based questions. These questions will help aspirants analyse the GATE 2026 exam pattern, difficulty level, and important topics.

GATE 2026 February 7 Shift 2 Question Paper: Chemistry

Question 1: For a first-order reaction, the unit of rate constant is?
(A) molL−1s−1
(B) s−1
(C) L mol−1 s−1
(D) molL−1

Question 2: Which ligand causes maximum crystal field splitting?
(A) F−
(B) H2O
(C) NH3
(D) CN−

Question 3: The standard electrode potential of the standard hydrogen electrode (SHE) is?
(A) +1.00 V
(B) -1.00 V
(C) 0.00 V
(D) +0.76 V

Question 4: In IR spectroscopy, which bond absorbs at the highest wavenumber?
(A) C-C
(B) C=C
(C) C≡C
(D) O−H

Question 5: The magnetic behavior of a compound with all electrons paired is?
(A) Paramagnetic
(B) Ferromagnetic
(C) Diamagnetic
(D) Antiferromagnetic

Question 7: Which of the following reagents converts an aldehyde selectively into a primary alcohol?
(A) PCC
(B) KMnO4
(C) LiAlH4
(D) CrO3

Question 8: For an ideal gas, which of the following thermodynamic quantities depends only on temperature?
(A) Enthalpy
(B) Entropy
(C) Gibbs free energy
(D) Pressure

GATE 2026 February 7 Shift 2 Question Paper: Biotechnology

GATE 2026 February 7 Shift 1 Question Paper: Life Science (XL)

Question 1: Not a storage polysaccharide?

(A) dextron
(B) chitin
(C) starch
(D) Glycogen

Question 2: Which of the following amino acids is essential in human diet?
(A) Alanine
(B) Glycine
(C) Valine
(D) Glutamic acid

Question 3: Which phase of the cell cycle is known as the resting phase?
(A) G1 phase
(B) S phase
(C) G2 phase
(D) M phase

Question 4: Which of the following is a stop codon?
(A) AUG
(B) UGG
(C) UGA
(D) UAC

Question 5: A compound containing 1 chinal Carbon?

(A) Leucine
(B) Serine
(C) Isoleveine
(D) Threonine

Question 6: The process of conversion of nitrogen into ammonia by bacteria is called?
(A) Nitrification
(B) Denitrification
(C) Nitrogen fixation
(D) Ammonification

Question 7: Which pyramid is always upright in an ecosystem?
(A) Pyramid of energy
(B) Pyramid of biomass
(C) Pyramid of numbers
(D) All of the above

Question 8: The DNA double helix is stabilized primarily by:
(A) Covalent bonds
(B) Hydrogen bonds
(C) Ionic bonds
(D) Van der Waals forces

GATE 2026 February 7 Shift 1 Question Paper: Engineering Science

Question 1: Hooke's law is valid up to:
(A) Breaking point
(B) Yield point
(C) Elastic limit
(D) Ultimate stress

Question 2: The value of the determinant |1234| is:
(A) -2
(B) 2
(C) -5
(D) 5

Question 3: σx=−40MPu, σy=100MPu, σxy=50MPu

Then radius of Mohrs circle=?

Question 4: The Poisson's ratio for an incompressible material is:
(A) 0
(B) 0.25
(C) 0.33
(D) 0.5

Question 5: The mode of heat transfer which does not require a material medium is:
(A) Conduction
(B) Convection
(C) Radiation
(D) Diffusion

Question 6: For an ideal gas undergoing an isothermal process, which of the following remains constant?
(A) Pressure
(B) Temperature
(C) Volume
(D) Entropy

Question 7: Which dimensionless number represents the ratio of inertial forces to viscous forces?
(A) Reynolds number
(B) Froude number
(C) Mach number
(D) Weber number

GATE 2026 Exam Analysis: Difficulty Level and Highlights

The GATE 2026 question paper provides an overview of the overall difficulty level, section wise performance, and key highlights. This analysis will help students understand the exam trend and assess their performance.

GATE 2026 8 Feb Exam Analysis

You can use the GATE 2026, 8 Feb paper analysis given in the form of table below. The GATE question paper analysis highlights the overall difficulty level, section-wise weightage, and key topics covered.

GATE 2026 CSE Question Paper 8 Feb Analysis

GATE 2026 7 Feb Exam Analysis

GATE 2026 February 7 Shift 2 Question Paper: Chemistry