GATE 2021 CY – Previous Year Questions with Solutions
All 65 questions of GATE 2021 CY with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Getting to the top is than staying on top.
- Question 2 – Which diagram is the mirror image of the word TRIANGLE about the x-axis?
- Question 3 – In a company, 35% of the employees drink coffee, 40% of the employees drink tea and 10% of the employees drink both tea and coffee. What % of…
- Question 4 – Define p q=(p2+q2)/(pq) and p q=p2/q. If x y=22, then x equals .
- Question 5 – Four persons P, Q, R and S are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and R cannot sit…
- Question 6 – Statement: Either P marries Q or X marries Y Among the options below, the logical NEGATION of the above statement is:
- Question 7 – Consider two rectangular sheets, Sheet M and Sheet N of dimensions 6 cm x 4 cm each. Folding operation 1: The sheet is folded into half by joining the…
- Question 8 – Five equal-length line segments PR, PS, QS, QT and RT form the star shown. The value of θ is degrees.
- Question 9 – Define (p,q)=cases(p-q)2,&p q\+q,&p<q.cases Evaluate (-(-3+2),(-2+3))(-(-2+1)).
- Question 10 – Humans have the ability to construct worlds entirely in their minds, which don’t exist in the physical world. So far as we know, no other species…
- Question 11 – The rates of alkaline hydrolysis of the compounds shown below follow the order:
- Question 12 – The major product formed in the following reaction is:
- Question 13 – The major product formed in the following reaction is:
- Question 14 – The least acidic among the following compounds is:
- Question 15 – The major product formed in the following reaction is:
- Question 16 – The reagent(s) required for the conversion of hex-3-yne to (E)-hex-3-ene is/are:
- Question 17 – An organic compound has molecular-ion peaks [M]+, [M+2]+ and [M+4]+ in ratio 1:2:1 and a singlet at δ 7.49 in its 1H NMR spectrum in CDCl 3. The…
- Question 18 – LiAlH 4 reacts with one equivalent of Me 3N HCl to give a tetrahedral compound, then another equivalent of Me 3N HCl gives N. Identify N and its…
- Question 19 – Which one of the following is a non-heme protein?
- Question 20 – A correct example of a nucleotide is:
- Question 21 – For 3NO(g) N 2O(g)+NO 2(g) at 25 °C, G=-104.18 kJ. With R=8.314 J mol-1 K-1, the equilibrium constant is closest to .
- Question 22 – The reaction of NiBr2 with two equivalents of PPh3 in CS2 at –78 °C gives a red-colored diamagnetic complex, [NiBr2(PPh3)2]. This transforms to a…
- Question 23 – The rate of the substitution reaction of [Co(CN)5Cl]3– with OH– to give [Co(CN)5(OH)]3–
- Question 24 – The octahedral splitting o of [Cr(H 2O) 6]3+, [CrF 6]3- and [Cr(CN) 6]3- follows .
- Question 25 – The phase diagram of CO2 is shown below: The correct statement(s) about CO2 is/are:
- Question 26 – Acceptable wavefunctions for a quantum particle must be:
- Question 27 – The characters of E,C 2, v, v, in that order, for valid irreducible representations of C 2v are .
- Question 28 – The normal mode(s) of vibration of H2O is/are:
- Question 29 – A reversible heat engine absorbs 20 kJ of heat from a source at 500 K and dissipates it to the reservoir at 400 K. The efficiency of the heat engine…
- Question 30 – Among the following eight compounds, the number of compound(s) which can exhibit stereoisomerism is .
- Question 31 – The Mo–Mo bond order in [(5-C 5H 5)Mo(CO) 2] 2, which obeys the 18-electron rule, is .
- Question 32 – For 2P(s)+3Br 2(l)2PBr 3(l), H=-243 kJ. If 3.1 g phosphorus reacts, the enthalpy change is kJ (two decimal places). Atomic weight of P is 31.
- Question 33 – The number of 1H NMR signals of the illustrated compound at 25 °C in CDCl 3 is .
- Question 34 – A 5 V battery delivers a steady current of 1.5 A for a period of 2 h. The total charge that has passed through the circuit is Coulombs.
- Question 35 – The spin-only magnetic moment of [Co(H 2O) 6]2+ is BM (one decimal place).
- Question 36 – The geometry and the number of unpaired electrons in tetrakis(1- norbornyl)Co respectively, are:
- Question 37 – The yellow color of an aqueous solution of K2CrO4 changes to red-orange upon the addition of a few drops of HCl. The red-orange complex, the oxidation…
- Question 38 – The shapes of ClF 3, XeOF 2, N 3- and XeO 3F 2, respectively, are .
- Question 39 – The metal borides that contain isolated boron atoms are:
- Question 40 – The major product formed in the following reaction is:
- Question 41 – The major product formed in the following reaction is:
- Question 42 – The major product formed in the following reaction is:
- Question 43 – In the following reaction sequence the major products P and Q, respectively, are:
- Question 44 – In a cell, Ag+ from AgNO 3 is reduced at the cathode and Cu oxidizes to Cu2+ at the anode. A 0.7 A current flows for 10 min. The masses of Ag…
- Question 45 – Which of the illustrated compounds can be prepared by nucleophilic substitution?
- Question 46 – In the following reaction the major products X and Y, respectively, are:
- Question 47 – The major products P and Q formed in the following reactions respectively, are:
- Question 48 – The major product formed in the reaction of (2R,3R)-2-bromo-3-methylpentane with NaOMe is:
- Question 49 – The major product formed in the following reaction is:
- Question 50 – Hexane and heptane are completely miscible. At 25 °C, the vapor pressures of hexane and heptane are 0.198 atm and 0.06 atm, respectively. The mole…
- Question 51 – The correct order of Lewis acid strengths of BF2Cl, BFClBr, BF2Br and BFBr2 is:
- Question 52 – The correct order of increasing intensity (molar absorptivity) of the UV-visible absorption bands for the ions [Ti(H2O)6]3+, [Mn(H2O)6]2+, [CrO4]2–,…
- Question 53 – The correct statement(s) about the concentration of Na+ and K+ ions in animal cells is/are:
- Question 54 – The correct statement(s) about actinides is/are:
- Question 55 – A 400 nm deuterium lamp has power 1 μW. Its photons emitted per nanosecond number (nearest integer). h=6.62610-34 kg m2 s-1; c=3.0108 m/s.
- Question 56 – Initially there is 1 mg radioactive \!60 27Co, half-life 5.27 years. The amount disintegrated in one year is mg (two decimal places).
- Question 57 – An argon atom (40 amu) travels at 250 m/s. Its de Broglie wavelength is pm (one decimal place). N A=6.0221023; h=6.62610-34 kg m2 s-1.
- Question 58 – A substance in cyclohexane has molar absorption coefficient 1710 L mol-1 cm-1 at 500 nm. For a 2 mmol/L solution in a 1 mm cell, the light-intensity…
- Question 59 – The fundamental vibration of \!1H127I is 2309 cm-1. Its force constant is N/m (nearest integer). N A=6.0221023; c=3.0108 m/s.
- Question 60 – A 532 nm laser Raman spectrometer records Cl 2 with fundamental vibration 560 cm-1. The Stokes line is observed at cm-1 (nearest integer).
- Question 61 – Toluene (molecular weight 92) has vapour pressure 0.13 atm at 25 °C. Dissolving 6 g hydrocarbon in 92 g toluene lowers it to 0.12 atm. The hydrocarbon…
- Question 62 – For CO(g)+Cl 2(g) COCl 2(g) at 500 °C, initial pressures are 0.7 bar CO and 1.0 bar Cl 2. At equilibrium, COCl 2 partial pressure is 0.15 bar. The…
- Question 63 – Decomposition in oxygen has rate constants 0.23710-4 L mol-1 s-1 at 0 °C and 2.6410-4 at 25 °C. Its activation energy is kJ/mol (one decimal place).…
- Question 64 – A 2 L gas at 1 atm is heated reversibly to a final volume of 3.5 L. The absolute work done on the gas is J (nearest integer).
- Question 65 – The quantity of cobalt ore Co 3(AsO 4) 2 H 2O needed to obtain 1 kg Co is kg (two decimal places). Atomic weights: Co 59, As 75, O 16, H 1.