GATE 2025 CY – Previous Year Questions with Solutions
All 65 questions of GATE 2025 CY with answers and explanations. Read each question, then practise it by topic or as a full paper.
Practise this paper in The GATE Grind →
- Question 1 – Courage : Bravery :: Yearning : Select the most appropriate option to complete the analogy.
- Question 2 – We tennis in the lawn when it suddenly started to rain. Select the most appropriate option to complete the above sentence.
- Question 3 – A 44 digital image has pixel intensities (U) as shown in the figure. The number of pixels with U4 is:
- Question 4 – In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options…
- Question 5 – A rectangle has a length L and a width W, where L > W. If the width, W, is increased by 10%, which one of the following statements is correct for all…
- Question 6 – Column-I has statements made by Shanthala; and, Column-II has responses given by Kanishk. Column-I Column-II --- --- P. This house is in a mess. 1.…
- Question 7 – Weight of a person can be expressed as a function of their age. The function usually varies from person to person. Suppose this function is identical…
- Question 8 – A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All…
- Question 9 – If a real variable x satisfies 3x2=279x, then the value of 2x2(2x)2 is:
- Question 10 – The number of patients per shift (X) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹1000(X-0.2), what…
- Question 11 – The phosphazene compound that acts as a superbase is
- Question 12 – The reaction for the synthesis of Me2SiCl2 through Rochow-Müller process is
- Question 13 – Upon cooling from room temperature, the magnetic susceptibility of MnO slowly increases until 118 K, and then it decreases. This phenomenon is known…
- Question 14 – An aqueous solution of Co(ClO 4) 26H 2O is light pink in colour. Addition of conc. HCl results in an intense blue coloured solution due to the…
- Question 15 – For an unambiguous single step synthesis of the following target molecule (TM), the best bond disconnection in its retrosynthetic analysis is (TM)
- Question 16 – In the 1H-NMR spectrum of the following molecule, the signal of proton H a appears as
- Question 17 – A disaccharide X does NOT show mutarotation in aqueous solution. Acidic hydrolysis of X affords two different monosaccharides. The disaccharide X is
- Question 18 – The symmetry element that does NOT belong to C 4v point group is
- Question 19 – Rigid rotor wavefunctions are given by Y l,m(,). The wavefunctions Y 1,0(,) and Y 2,0(,) are given below Y 1,0=34, Y 2,0=516(32-1). For a non-polar…
- Question 20 – The translational, vibrational, and rotational molecular partition functions for a system containing ideal diatomic gas molecules in the canonical…
- Question 21 – The Vaska’s complex trans-IrCl(CO)(PPh3)2 shows a band at 1967 cm-1 for the νCO stretching vibration in its infrared spectrum. The complex(es) that…
- Question 22 – Under the conditions mentioned for each reaction, the reaction(s) that would give borazine (B3N3H6) as the major product is/are
- Question 23 – The essential symmetry(ies) for a monoclinic crystal system is/are the presence of
- Question 24 – Compound(s) that show(s) an intense peak at m/z 120 in the EI mass spectrum is/are
- Question 25 – The correct option(s) of reagents and reaction sequences suitable for carrying out the following transformation is/are
- Question 26 – Among the given options, the possible product(s) that can be obtained from the following reaction is/are
- Question 27 – Choose the correct option(s) with regard to mechanism of the following transformation.
- Question 28 – Two noninteracting particles are confined to a one-dimensional infinite box. Their wavefunctions are 1, 2 and energies E 1,E 2. The INCORRECT…
- Question 29 – The thermodynamic criterion/criteria for a spontaneous process is/are
- Question 30 – Xe and F 2 in 1:1 molar ratio when mixed in a closed flask and kept in the sunlight for a day, gave white crystals of a compound Q. Two equivalents of…
- Question 31 – The total number of hyperfine lines expected in the EPR spectrum of CH 2OH (radical) is (in integer). [Note: Consider all hydrogen atoms for…
- Question 32 – Partial hydrolysis of a pentapeptide yields all possible tripeptides and dipeptides. The dipeptides that are obtained upon hydrolysis are given below.…
- Question 33 – The specific rotation of enantiomerically pure (S)-2-butanol is +14°. The specific rotation of enantiomeric mixture of 2-butanol obtained from an…
- Question 34 – The ratio of the fundamental vibrational frequencies ( 13C16O/ 12C16O) of two diatomic molecules 13 C16 O and 12 C16 O, considering their force…
- Question 35 – The expressions for the vapour pressure of solid (p 1) and vapour pressure of liquid (p 2) phases of a pure substance, respectively, are p…
- Question 36 – The reaction that proceeds through an oxidative addition followed by a reductive elimination is [Given: Atomic numbers Ni = 28, Ta = 73, Zr = 40, Pt =…
- Question 37 – The homogeneous catalyst whose metal ion does NOT undergo either oxidation or reduction in any of the steps during the hydrogenation of terminal…
- Question 38 – The given zirconocene compound, (5-Cp) 2ZrEt 2, when heated in the presence of an equimolar amount of PMe 3 results in the formation of a compound X…
- Question 39 – The 1H NMR spectrum of the given iridium complex at room temperature gave a single signal at 2.6 ppm, and its 31P NMR spectrum gave a single signal at…
- Question 40 – The effective magnetic moment, eff value for [Cr(H 2O) 6]3+ taking into account for spin-orbit coupling is closest to [Given: Atomic number of Cr =…
- Question 41 – The major products X and Y formed in the following reaction sequences are
- Question 42 – Compound K has a strong IR band at 1680 cm−1. Its 1H NMR data: (ppm) 7.30 (d, J = 7.2 Hz, 2H), 6.8 (d, J = 7.2 Hz, 2H), 3.8 (septet, J = 7.0 Hz, 1H),…
- Question 43 – The major product formed in the following reaction sequences is
- Question 44 – In the following asymmetric transformation, the key aldol reaction involves the attack of
- Question 45 – The correct option with regard to the following statements is (a) Time-independent Schrödinger equation can be exactly solved for Be2+. (b) For a…
- Question 46 – The phase diagram of a single component system is given below. The option with the correct number of degrees of freedom corresponding to the labelled…
- Question 47 – An approximate partition function Q(N,V,T) of a gas is given below. Q(N,V,T)=1N!(2 mk BTh2)3N/2(V-Nb)N. The equation of state(s) for this gas is/are…
- Question 48 – The compound(s) having structure similar to that of B2H6 is/are
- Question 49 – The UV-visible spectrum of [Ni(en) 3]2+ (en = ethylenediamine) shows absorbance maxima at 11200, 18350, and 29000 cm-1. Absorbance maximum Electronic…
- Question 50 – Cytochrome P450 (CYP) enzymes catalyze stereoselective C‒H hydroxylation of hydrocarbons in the presence of O2. The correct statement(s) about the…
- Question 51 – The complex(es) having metal-metal bond order 3.5 is/are [Given: The atomic numbers of Mo, Cr, Mn, and Re are 42, 24, 25, and 75, respectively.]
- Question 52 – Consider the following two reactions and their corresponding Hammett plots. Choose the option(s) that correctly match(es) the points on the graph…
- Question 53 – The correct option(s) of reagents and reaction sequences suitable for carrying out the following transformation is/are
- Question 54 – The process(es) and/or intermediate(s) through which the following transformation proceeds is/are
- Question 55 – For the following reaction, the possible product(s) is/are
- Question 56 – Wavefunctions and energies for a particle confined in a cubic box are n x,n y,n z and E n x,n y,n z, respectively. The functions 1, 2, 3, and 4 are…
- Question 57 – If a particle’s state function is an eigenfunction of the operator L2 with eigenvalue 302, then the possible eigenvalue(s) of the operator L z2 for…
- Question 58 – An archaeological 14C specimen gives 45 counts per gram of carbon in 5 minutes. Fresh wood gives 20 counts per gram per minute. Background is 5 counts…
- Question 59 – In the following reaction, 13.4 grams of aldehyde P gave a diastereomeric mixture of alcohols Q and R in a ratio of 2:1. If the yield of the reaction…
- Question 60 – The kinetic energies of an electron (e) and a proton (p) are E and 3E, respectively. Given that mass of a proton is 1836 times that of an electron,…
- Question 61 – If a molecule emitting a radiation of frequency 3.100109 Hz approaches an observer with a relative speed of 5.000106\ m\,s-1, then the observer…
- Question 62 – The mean energy of a molecule having two available energy states at =0 J and =4.1410-21 J at 300 K is 10-21 J (rounded off to two decimal places).…
- Question 63 – For the cell reaction, Hg 2Cl 2(s)+H 2(1\ atm)2Hg(l)+2H+(a=1)+2Cl-(a=1) The standard cell potential is E0=0.2676 V, and ( E0/ T) P=-3.1910-4\ V\,K-1.…
- Question 64 – Consider a Carnot engine with a hot source kept at 500 K. From the hot source, 100 J of energy (heat) is withdrawn at 500 K. The cold sink is kept at…
- Question 65 – The Lineweaver-Burk plot for an enzyme obeying the Michaelis-Menten mechanism is given below. The slope of the line is 0.3610-2 s, and the y-intercept…