GATE 2026 CY – Previous Year Questions with Solutions
All 65 questions of GATE 2026 CY with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – "He often the numbers. False claims are not going to help. Honesty trust", said the manager. Choose the option with the correct order of words to fill…
- Question 2 – In the sequence of tiles shown below, the missing tile indicated by the question mark should be
- Question 3 – A school has 100 students distributed among 1st to 10th standards. Based on this, which one of the following statements is always correct?
- Question 4 – How many 3-digit numbers can be formed using three distinct single digit prime numbers?
- Question 5 – In a group of students, 10 students like Mathematics, 12 students like English, 4 students like both Mathematics and English, and 6 students like…
- Question 6 – Charity : P :: Retaliation : Q Choose the appropriate pair of words P and Q that fit the analogy.
- Question 7 – A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface…
- Question 8 – Consider the cube shown below with its 8 corners labelled a, b, c, d, e, f, g, and h. The figure is representative. All corners are to be colored such…
- Question 9 – Four hills H1, H2, H3, and H4 are present in an area. The following observations are made about them: i. Neither H2 nor H3 is the easternmost hill.…
- Question 10 – As shown in the figure, circle C1 with center O1 and radius r1 touches the square VWXY at points P and Q while circle C2 with center O2 and radius r2…
- Question 11 – The major product formed in the following reaction is
- Question 12 – The correct statement about the following quaternary ammonium ion is
- Question 13 – The major product formed in the following reaction sequence is
- Question 14 – The major product formed in the following reaction is
- Question 15 – The species that undergoes β-elimination is
- Question 16 – According to molecular orbital theory, the correct ground-state electronic configuration for [Co(NH 3) 6]3+ is
- Question 17 – The species which follows 18-electron rule is (en = ethylenediamine)
- Question 18 – The point group of CH 2=C=CH 2 is
- Question 19 – Among the following, the one for which the infrared active vibrational modes are Raman inactive and vice versa is
- Question 20 – For the reaction shown, if U=5RT/2, the value of H is (X‡ is activated complex; the two deltas are standard activation internal energy and enthalpy; R…
- Question 21 – The reagent(s) that will effect the following transformation is(are)
- Question 22 – The reaction(s) that give(s) meso-1,2-diphenylethane-1,2-diol as the major product is(are)
- Question 23 – In the 1H NMR spectrum of compound X, the coupling constant (Jab) between Ha and Hb is 3 Hz. The amino alcohol(s) that give(s) X on reaction with…
- Question 24 – The correct statement(s) regarding plastocyanin is(are)
- Question 25 – The correct statement(s) about Mössbauer spectroscopy of iron compounds is(are)
- Question 26 – The interconversion of oxidation states of metal(s) observed in Wacker process is(are)
- Question 27 – For =x(a-x), with constant a, which statement(s) is/are correct?
- Question 28 – The correct statement(s) about spherical harmonics Y lm is(are)
- Question 29 – The difference in the number of gauche interactions present in diaxial and diequatorial chair conformations of trans-1,2-dimethylcyclohexane is (in…
- Question 30 – The order of the point group of [PdCl 6]2- is x and that of trans-[PdBr 2Cl 4]2- is y. The integer x − y is
- Question 31 – A 0.005 M solution of X transmits 80% of incident 500 nm light over path length 1.0 cm. The absorbance of a 0.01 M solution (three decimal places) is
- Question 32 – The HF microwave spectrum has successive lines separated by 41.11 cm−1. Its bond length in Å (two decimal places) is . Given masses H = 1.008 amu, F =…
- Question 33 – At magnetic field 14.1 T, proton NMR resonances occur at 1.25 and 5.75 ppm. Their separation in Hz (one decimal place) is . Given H=2.675108 T−1 s−1.
- Question 34 – The maximum work magnitude in kJ from complete combustion of 1.0 mol methane at constant pressure and 25 °C (one decimal place) is . Given S=-241.60 J…
- Question 35 – The ionic mobility of Ag+ in very dilute aqueous AgNO3 at 298 K is y10-8 m² V−1 s−1. The value of y (two decimal places) is . Given water viscosity…
- Question 36 – The major product formed in the following reaction is
- Question 37 – Match protons in compound X (Column M) with chemical shifts (Column N). Column M Column N --- --- P: Ha I: 7.00 (ddd, J = 8.4, 7.3, 1.4 Hz, 1H) Q: Hb…
- Question 38 – The correct statement about the intermediate formed in the following reaction is
- Question 39 – The major product formed in the following reaction sequence is
- Question 40 – With metal M and monodentate ligands L numbered as shown, the sigma ligand-group orbital with the same symmetry as d z2 in octahedral geometry is
- Question 41 – The correct electronic configuration of central metal ion in ferrocene with z-axis passing through the centre of two C5H5 − rings and the metal ion is
- Question 42 – The pair of complex ions that exhibits the slowest outer-sphere electron-exchange reaction at 25 °C is
- Question 43 – The structure of B4H10 is given below. Its styx number is
- Question 44 – For 2Pb 3O 4(s)6PbO(s)+ O 2(g), the correct numbers of phases P, components C and degrees of freedom F are
- Question 45 – The correct option for the average value of kinetic energy and the average value of potential energy of a one-dimensional harmonic oscillator with…
- Question 46 – For a reaction between neutral molecules X and Y in a solution at temperature T, the measured rate of reaction is equal to the rate of diffusion.…
- Question 47 – For the following electrochemical cells, liquid junction potentials affect the cell potential (Ecell). The correct order of their Ecell at 25 °C is
- Question 48 – The set(s) of reagents that will effect the following conversion is(are)
- Question 49 – The reaction(s) that produce(s) the following compound is(are)
- Question 50 – The reaction(s) that produce(s) 2-methylindole as the major product is(are)
- Question 51 – Chymotrypsin selectively cleaves a peptide at the carboxyl side of the amino acids having an aryl sidechain. The tripeptide(s) formed on hydrolysis of…
- Question 52 – Consider the given pairs of complex ions. The correct pair(s) in which each complex ion exhibits three spin-allowed d-d transitions (excluding those…
- Question 53 – The correct statement(s) about the structure of metal oxides is(are)
- Question 54 – The pair(s) of lanthanide ions whose ground state term symbols have same spin multiplicity (2S+1) and orbital angular momentum (L), but different…
- Question 55 – The correct statement(s) about enterobactin (ent) is(are)
- Question 56 – The correct statement(s) for a surface catalyzed unimolecular gaseous reaction is(are)
- Question 57 – Consider the following reaction sequence, where A and B are the major products. In proton-decoupled 13C NMR spectra, the total number of carbon…
- Question 58 – On heating, the compound Z undergoes a series of 1,5-H/D shifts to give a mixture of its isomers. The total number of isomers present in the mixture…
- Question 59 – The sum of metal–metal bond orders in [Os 2Cl 8]2-, [Re 2Cl 8]2-, [W 2(NMe 2) 6], and [Mo(C 5H 5)(CO) 2] 2 is (integer).
- Question 60 – The sum of alpha and beta particles emitted in 238 92 U206 82Pb is (in integer).
- Question 61 – Two atoms have spherical coordinates (1,/2,/2) and (1,/4,3/2), with distance in Å and angles in radians. Their separation in Å (two decimal places) is
- Question 62 – The translational partition function of H2 in a 1 L vessel at 300 K is y1027. The value of y (one decimal place) is . Given H mass 1.008 amu; 1 amu =…
- Question 63 – A calibrated glass-electrode/standard-calomel pH meter measures 0.814 V for pH 4.01 at 25 °C. Its potential for 0.0040 M acetic acid in V (three…
- Question 64 – BET nitrogen adsorption at 77 K on 1.0 g adsorbent gives slope 610-4 mm−3 and intercept 410-6 mm−3 for a plot of z/[(1-z)V] against z = p/p0. The…
- Question 65 – An electron has orbital angular momentum magnitude 12. The minimum angle between L and its z-component in degrees (one decimal place) is