GATE 2024 CY – Previous Year Questions with Solutions
All 65 questions of GATE 2024 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 – If '→' denotes increasing order of intensity, then the meaning of the words [sick → infirm → moribund] is analogous to [silly → → daft]. Which one of…
- Question 2 – The 15 parts of the given figure are to be painted such that no two adjacent parts with shared boundaries (excluding corners) have the same color. The…
- Question 3 – How many 4-digit positive integers divisible by 3 can be formed using only the digits 1, 3, 4, 6, 7, such that no digit appears more than once in a…
- Question 4 – The sum of the following infinite series is 2+12+13+14+18+19+116+127+
- Question 5 – In an election, the share of valid votes received by the four candidates A, B, C, and D is represented by the pie chart shown. The total number of…
- Question 6 – Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people…
- Question 7 – The probability of a boy or a girl being born is 1/2. For a family having only three children, what is the probability of having two girls and one…
- Question 8 – Person 1 and Person 2 invest in three mutual funds A, B, and C. The amounts they invest in each of these mutual funds are given in the table. Mutual…
- Question 9 – Three different views of a dice are shown in the figure below. The piece of paper that can be folded to make this dice is
- Question 10 – Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes…
- Question 11 – Among the following, the compound with the lowest CO stretching frequency is
- Question 12 – The ground state of [Cr(H 2O) 6]2+ is
- Question 13 – The reaction of XeF 2 with HN(SO 2F) 2 at 273 K in CF 2Cl 2 solvent yields
- Question 14 – The major product in the following reaction sequence is
- Question 15 – Among the following, the chiral compound is
- Question 16 – The major product in the given reaction sequence is Q. The mass spectrum of Q shows ([M] = molecular ion peak)
- Question 17 – The product M in the following reaction is
- Question 18 – Critical micellar concentration of a surfactant is 0.008 M in water at 25 °C. If the aggregation number of the micelles is 80, the concentration of…
- Question 19 – The order and the number of classes present in a group with the irreducible representations A 1,A 2,B 1,B 2,E 1, and E 2, are, respectively,
- Question 20 – The molecule XY 2 is microwave active and its vibration-rotation spectrum shows only P and R transitions. In the correct structure,
- Question 21 – The complex(es) with distorted octahedral structure is (are)
- Question 22 – The compound(s) which show(s) the perovskite structure in solid state is (are)
- Question 23 – Among the following metalloproteins, the pair(s) of non-heme proteins is (are)
- Question 24 – The reaction(s) that yield(s) X as the major product is (are)
- Question 25 – The reaction(s) that yield(s) 2-methylquinoline as the major product is (are)
- Question 26 – The correct statement(s) for decalin is (are)
- Question 27 – The correct statement(s) about 4D 5/2 state of an atom is (are):
- Question 28 – The correct statement(s) related to an ensemble is (are):
- Question 29 – The non-dissociative adsorption of a gas on a given surface at a fixed temperature follows Langmuir isotherm. The plot(s) which give(s) a straight…
- Question 30 – The crystal field stabilization energy of [Cr(NH 3) 6]3+ with o value of 21600\ cm-1 is y\ cm-1. The value of y is . (rounded off to the nearest…
- Question 31 – The number of metal-metal bond(s) in the complex [(5-Cp)Mo(CO) 2] 2 is x and in [(5-Cp) 2Fe 2(CO) 3] is y. The value of x+y is . (Assume 18 electron…
- Question 32 – 1H NMR spectrum of a mixture containing CH 3Br (x mol) and (CH 3) 3CBr (y mol) shows two singlets at 2.7 ppm and 1.8 ppm, with the relative ratio of…
- Question 33 – The value of e22 0a 0 in atomic unit of energy is . (e: charge of electron; a 0: Bohr radius; 0: permittivity of vacuum) (rounded off to the nearest…
- Question 34 – The partial vapor pressure of 0.1 molal solution of B in liquid A is 60 kPa at 300 K. The partial vapor pressure (in kPa) of a solution containing B…
- Question 35 – Consider the following two parallel irreversible first-order reactions, where k 1=2k 2 at 300 K. After complete conversion of R at 300 K, the…
- Question 36 – Borax on treatment with NaOH and H 2O 2 forms X. Compound X on reaction with PhCN at 60 °C in methanol–water gives Y as major product. X and Y,…
- Question 37 – In the EPR spectrum of an aqueous solution of VOSO 4 at room temperature, the total number of hyperfine splitting signals is
- Question 38 – The heptacity of allyl and Cp and the ligation mode of NO in the thermodynamically stable complexes [(x-allyl)Ru(CO) 2(NO)] and [(y-Cp)Ru(CO) 2(NO)],…
- Question 39 – In the following reactions, the structures of I, II, and III, respectively, are
- Question 40 – Consider the following 1H-NMR (400 MHz, DMSO-d 6) data of a compound: in ppm: 3.85 (s, 6H), 6.73 (t, J=2.2 Hz, 1H), 7.1 (d, J=2.2 Hz, 2H), and 13.05…
- Question 41 – Fischer presentation of D-(-)-fructose is given below. The correct structure of α-L-(+)-fructofuranose is
- Question 42 – The major products X and Y in the following reaction sequence are
- Question 43 – The major products E and F in the following reaction sequence are
- Question 44 – 1, 2, 3, and 4 are four Hückel molecular orbitals of benzene with orbital energies E 1,E 2,E 3, and E 4, respectively. 1=12( B+ C- E- F) 2=6-1/2( A-…
- Question 45 – Consider six vibrational modes: symmetric stretching of CO 2, O–H symmetric stretching of H 2O, stretching of HCl, stretching of H 2, N–H symmetric…
- Question 46 – The correct statement for a thermally initiated radical polymerization in a solution is: (Assume: Steady-state and equal reactivity of the propagating…
- Question 47 – If q t and Q t,m are the molecular and molar translational partition functions of X 2, respectively, then (Q t,m)= (N is the Avogadro number)
- Question 48 – Among the following, the NMR active nucleus(nuclei) is (are)
- Question 49 – The complex(es) that exhibit(s) optical isomerism is (are)
- Question 50 – In aqueous solution of K 4[Fe(CN) 6], the allowed transition(s) is (are)
- Question 51 – The correct option(s) that give(s) P as the major product is (are)
- Question 52 – The correct statement(s) regarding P, Q, R, and S is (are):
- Question 53 – Consider the following reaction sequence. The correct option(s) is (are)
- Question 54 – Consider the following reaction sequence where M and N are the major products. The correct option(s) is (are)
- Question 55 – The correct statement(s) about the relationship for the H-atoms in the following compounds is (are):
- Question 56 – Among the following, the correct statement(s) is (are):
- Question 57 – Among the following, the correct statement(s) is (are):
- Question 58 – S (in J\,mol-1K-1) for the given reaction at 298 K is . (Given: K 1=10.6, where K 1 is the equilibrium constant. H=-54\ kJ\,mol-1 and R=8.314\…
- Question 59 – The turnover frequency (in h−1) of a reaction where 5 mol% of a catalyst is required for 90% conversion in 3 h is . (rounded off to the nearest…
- Question 60 – In thermogravimetric analysis, 12.45 mg of CuSO 45H 2O was heated under nitrogen. At a particular temperature the weight loss was 3.6 mg. The water…
- Question 61 – In the given reaction sequence, the amount of R produced (in g) is . (Given: molar mass (in g mol-1) of H = 1, C = 12, N = 14, O = 16, and S = 32)…
- Question 62 – The wave function of a particle in a cubic box (of side L) is given by (x,y,z)=32/L3 xL xL2 yL zL. The ratio of the energy of the state corresponding…
- Question 63 – 1 and 2 are normalized eigenfunctions of a Hermitian operator. =3i 1+2 2 and =-2i 1+5 2. The value of + is . (rounded off to the nearest integer)
- Question 64 – 2 mol of a monoatomic ideal gas initially at 5 L and 10 bar expands irreversibly and adiabatically against constant final pressure 1 bar. The final…
- Question 65 – The following figure shows an experimental liquid-liquid phase diagram of phenol and water at the vapor pressure of the system. The total amount of…