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GATE 2026 Question Paper Chemistry (CY)

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Page 1

FOR GATE EXAM PREPARATION

GATE 2026
Question Paper ·
EXAM YEAR TYPE SUBJECT

GATE 2026 Question Paper Chemistry (CY)

Notes · Sample Papers · Previous Year Papers · Mock Tests

Page 2

m
m .co

.co s e m
em

s g l a
a
General Aptitude (GA)
Q.1 – Q.5 Carry ONE mark Each

Q.1 “He often _____ the numbers. False claims are not going to help. Honesty _____
trust”, said the manager.
m
.co
Choose the option with the correct order of words to fill the blanks.
m
.co s e m
s em l a
g la ag
(A) a exaggerates; engenders

(B) excels; encourages

(C) aggravates; alleviates

m
.co
(D) diminishes; eliminates

e m
las
ag

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Page 3

Q.2 In the sequence of tiles shown below, the missing tile indicated by the question
mark should be

(A)

(B)

(C)

(D)

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Page 4

m
m .co

.co s e m
em

s g l a
a

Q.3 A school has 100 students distributed among 1st to 10th standards.

Based on this, which one of the following statements is always correct?

m
m .co
.co s e m
(A)
s em
There are at least 10 students who belong to the same standard.
l a
g la ag
(B) a There is at least one student in each standard.

(C) There are at most 10 students in 10th standard.

(D) The total number of students from 1st to 5th standards is at least 50.

m
m .co
s e
la
Q.4 How many 3-digit numbers can be formed using three distinct single digit prime
numbers?
ag

(A) 64

(B) 24
m
m
c. o(C) m .co
m
12
s e
s e g l a
g la (D) 4 a
a

m .
.co s e m
s em l a
la
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Page 5

Q.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 neither
Mathematics nor English. The number of students in the group is ____

(A) 18

(B) 20

(C) 24

(D) 32

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Page 6

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m .co

.co s e m
em

s g l a
a
Q.6 – Q.10 Carry TWO marks Each

Q.6 Charity : P :: Retaliation : Q

Choose the appropriate pair of words P and Q that fit the analogy.

m
m .co
.co s e m
(A)
s em
P = Parsimonious; Q = Vengeful
l a
g la ag
(B) a P = Altruistic; Q = Amicable

(C) P = Resentful; Q = Spiteful

(D) P = Magnanimous; Q = Vindictive

m
m .co
s e
g la
a

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Page 7

Q.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 of the cube.
Referring to cubes shown in Panel II, which one of the options is correct?

(A) Only (i) can correspond to the unfolded cube in Panel I.

(B) Only (ii) can correspond to the unfolded cube in Panel I.

(C) Both (i) and (ii) can correspond to the unfolded cube in Panel I.

(D) Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.

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Page 8

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m .co

.co s e m
em

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a
Q.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 that any two
corners that are connected by an edge must be of different colors. The minimum
number of colors required to achieve this is ________

m
m .co
m .co s e m
s e l a
g l a ag
a

m
m .co
s e
(A) 8
g la
a
(B) 4

(C) 3

(D) 2
m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Page 9

Q.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.
ii. Neither H2 nor H3 is the westernmost hill.
iii. Neither the easternmost hill nor the westernmost hill is the southernmost
hill.
iv. Two hills are located to the west of H2.
v. The southernmost hill has at least two hills to its east.

The southernmost hill is ________.

(A) H1

(B) H2

(C) H3

(D) H4

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Page 10

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m .co

.co s e m
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Q.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 touches the
square 𝑉𝑊𝑋𝑌 at points 𝑅 and 𝑆. The two circles touch each other at 𝑇.

̅̅̅̅ = 𝑉𝑊
Given 𝑟1 = 1 cm and 𝑉𝑌 ̅̅̅̅̅ = 4 cm, 𝑟2 = _____ cm.

m
m .co
m .co s e m
s e l a
g l a ag
a

m
m .co
s e
g la
a

m
.co
(A)
m 4 − 3√2

m .co s e m
s e (B) 1 + 2√2
g l a
g la a
a (C) 7 − 4√2

(D) 5 + 3√2

m .
.co s e m
s em l a
la
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Page 11

Q.11 – Q.35 Carry ONE mark Each

Q.11 The major product formed in the following reaction is

(A)

(B)

(C)

(D)

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Page 12

m
m .co

.co s e m
em

s g l a
a
Q.12 The correct statement about the following quaternary ammonium ion is

m
m .co
.co s e m
s em l a
g la ag
(A) a It has only C -symmetry, hence chiral
2

(B) It has S4-symmetry, hence achiral

(C) It has no symmetry, hence chiral

m
(D) It has a centre of symmetry, hence achiral
m .co
s e
g la
a

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Page 13

Q.13 The major product formed in the following reaction sequence is

(A)

(B)

(C)

(D)

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Page 14

m
m .co

.co s e m
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s g l a
a
Q.14 The major product formed in the following reaction is

m
m .co
m .co s e m
s e l a
(A)
g l a ag
a
(B)

(C) m
m .co
s e
g la
(D) a

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Page 15

Q.15 The species that undergoes β-elimination is

(A) [Rh(C5H5)(P(CH3)3)(C2H5)]+

(B) [Rh(NH3)5(C2H5)]2+

(C) [Pt(P(C6H5)3)2(C6H5)I]

(D) [Cr(CH2Si(CH3)3)4]

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Page 16

m
m .co

.co s e m
em

s g l a
a
Q.16 According to molecular orbital theory, the correct ground state electronic
configuration for [Co(NH3)6]3+ ion is

m
m .co
2 6 6
(A) 𝑎1𝑔 𝑡1𝑢 𝑒𝑔4 𝑡2𝑔 𝑒𝑔∗0
.co s e m
s em l a
ag
2 6 6
(B) 𝑎1𝑔 𝑡1𝑢 𝑡2𝑔 𝑒𝑔4 𝑒𝑔∗0

g la
(C)
a𝑡 𝑎 𝑒 𝑡 6
1𝑢
2
1𝑔
4
𝑔
6
2𝑔 𝑒𝑔∗0

2 6 4
(D) 𝑎1𝑔 𝑡1𝑢 𝑒𝑔4 𝑡2𝑔 𝑒𝑔∗2

m
m .co
s e
g la
a

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Page 17

Q.17 The species which follows 18-electron rule is

(en = ethylenediamine)

(A) [Rh(PPh3)3Cl]

(B) [Co(NH3)6]2+

(C) [V(CO)6]–

(D) [Ni(en)3]2+

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Page 18

m
m .co

.co s e m
em

s g l a
a
Q.18 The point group of CH2=C=CH2 is

(A)
m
.co
D2h
m
(B)
m .co s e m
a
C2h
s e l
gCl
a ag
(C)
a 2v

(D) D2d

m
Q.19 .co
Among the following, the one for which the infrared active vibrational modes are
m
Raman inactive and vice versa is
s e
g la
a
(A) H2O

(B) trans-planar conformer of H2O2

m
.co
(C) eclipsed conformer of ethane
m
c. o(D) s e m
e m CH4
l a
las ag
ag

m .
.co s e m
s em l a
la
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Page 19

Q.20 For the following reaction,

5
If the value of 𝛥‡ 𝑈 𝑜 = 𝑅𝑇, then the value of ∆‡ 𝐻 𝑜 is
2

(X‡ is an activated complex; 𝛥‡ 𝑈 𝑜 is standard change in internal energy; 𝛥‡ 𝐻 𝑜 is
standard enthalpy of activation; R is gas constant; T is temperature)

1
(A) 𝑅𝑇
2

3
(B) 𝑅𝑇
2

7
(C) 𝑅𝑇
2

5
(D) 𝑅𝑇
2

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Page 20

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m .co

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Q.21 The reagent(s) that will effect the following transformation is(are)

m
m .co
m .co s e m
s e l a
(A)
l a
Pd/C, H 2
ag
ag
(B) ZnBr2

(C) Pyridinium p-toluenesulfonate (PPTS), tBuOH

(D) n
Bu4NF

m
m .co
s e
g la
a

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Page 21

Q.22 The reaction(s) that give(s) meso-1,2-diphenylethane-1,2-diol as the major product
is(are)

(A)

(B)

(C)

(D)

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Page 22

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m .co

.co s e m
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Q.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 methyl iodide
followed by heating is(are)

m
m .co
m .co s e m
s e l a
g l a ag
a
(A)

m
(B)
m .co
s e
g la
a
(C)

m
m
c. o(D) m .co
m s e
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Page 23

Q.24 The correct statement(s) regarding plastocyanin is(are)

(A) It is an electron transfer protein

(B) It is intensely colored in its oxidised form

(C) Its central metal ion has a distorted tetrahedral geometry

(D) It contains S 2− bridged metal cluster

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Page 24

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m .co

.co s e m
em

s g l a
a
Q.25 The correct statement(s) about Mössbauer spectroscopy of iron compounds is(are)

(A) 57
Co is used as a source
m
c o m m .co
. spectra are obtained using -ray with resonance energy of se
em
(B) Their Mössbauer
s
14.4 keV
g l a
g la a
(C) a K [Fe(CN) NO] shows large quadrupole splitting
2 5

(D) Isomer shift of FeSO4∙7H2O is smaller than that of K3[Fe(CN)6]

m
m .co
s e
g la
a

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
Organizing Institute: IIT Guwahati

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Page 25

Q.26 The interconversion of oxidation states of metal(s) observed in Wacker process
is(are)

(A) Pd(II) / Pd(0)

(B) Cu(II) / Cu(I)

(C) Pd(IV) / Pd(II)

(D) Cu(II) / Cu(0)

Q.27 For the wavefunction  = 𝑥(𝑎 − 𝑥), where 𝑎 is a constant, the correct statement(s)
is(are)

(A) It represents a stationary state

(B) It is an odd function

(C) It represents the wavefunction of a particle moving on a circular ring of radius 𝑎

(D) It is an eigen function of the momentum operator

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Page 26

m
m .co

.co s e m
em

s g l a
a
Q.28 The correct statement(s) about spherical harmonics (𝑌𝑙𝑚 ) is(are)

(A) All spherical harmonics are complex functions m
c o m m .co
(B)
m . functions of 𝐿̂
They are eigen 2
s e
s e l a
g l a ag
(C)
a They are eigen functions of 𝐿̂ 𝑧

(D) The spherical harmonics 𝑌11 𝑎𝑛𝑑 𝑌1–1 are degenerate

o m
Q.29 The difference in the number of gauche c
. interactions present in diaxial and
diequatorial chair conformations eofmtrans-1,2-dimethylcyclohexane is ______
(in integer).
l as
ag
Q.30 The total number of symmetry operations (order, h) present in the point group of
[PdCl6]2− is x and that in trans-[PdBr2Cl4]2− is y. The value of x – y is ______
(in integer).

m
m .co
.co
Q.31 A 0.005 M solution of compound X transmits 80% of the incident light of
wavelength () 500 nm. The absorbance of 0.01 M solution of X is ______ (rounded
e m
e m off to three decimal places).
l as
las ag
ag (Given: path length = 1.0 cm)

m .
.co s e m
s em l a
la
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Page 27

Q.32 The microwave spectrum of gaseous HF consists of a series of lines separated by
41.11 cm–1. The bond length (in Å) of HF is ______ (rounded off to two decimal
places).

(Given: Atomic mass (in amu): H = 1.008, F = 18.998;
1 amu = 1.661  10–27 kg; h = 6.626  10–34 J s; c = 2.998  108 m s–1)

Q.33 In a 1H NMR spectrum obtained from a spectrometer operating at a magnetic field
of 14.1 T, two resonances are observed at 1.25 ppm and 5.75 ppm. The separation
between the two resonances (in Hz) is ______ (rounded off to one decimal place).

(Given: gyromagnetic ratio () of H = 2.675  108 T–1 s–1)

Q.34 The maximum work (|Wmax|, in kJ) that can be obtained by complete combustion of
1.0 mol of CH4 at constant pressure and 25 C is ______ (rounded off to one decimal
place).

(Given: ΔS = –241.60 J K–1 mol–1; ΔH = –890.01 kJ mol–1; R = 8.314 J mol–1 K–1)

Q.35 If the ionic mobility of Ag+ ion in a very dilute aqueous solution of AgNO3 at
298 K is y  10–8 m2 V–1 s–1, then the value of y is ______ (rounded off to two
decimal places).

(Given: viscosity of water at 298 K = 8.94  10–4 kg m–1 s–1; k = 1.38  10–23 J K–1;
F = 96500 C mol–1; R = 8.314 J mol–1 K–1; Stokes radius of Ag+ = 0.15 nm)

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Page 28

m
m .co

.co s e m
em

s g l a
a
Q.36 – Q.65 Carry TWO marks Each

Q.36 The major product formed in the following reaction is

m
m .co
m .co s e m
s e l a
g l a ag
(A)
a

(B)

m
m .co
s e
g la
(C)
a

(D)

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Page 29

Q.37 The correct match for the protons labeled in compound X in Column M with the
corresponding chemical shifts (δ, ppm) in Column N is

Column M Column N

P Ha I 7.00 (ddd, J = 8.4, 7.3, 1.4 Hz, 1H)

Q Hb II 7.17 (dd, J = 8.4, 1.4 Hz, 1H)

R Hc III 7.59 (ddd, J = 8.4, 7.3, 1.4 Hz, 1H)

S Hd IV 8.12 (dd, J = 8.4, 1.4 Hz, 1H)

(A) P → II; Q → III; R → I; S → IV

(B) P → I; Q → IV; R → II; S → III

(C) P → II; Q → IV; R → I; S → III

(D) P → I; Q → III; R → II; S → IV

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Page 30

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m .co

.co s e m
em

s g l a
a
Q.38 The correct statement about the intermediate formed in the following reaction is

m
m .co
m .co s e m
s e l a
g l a ag
(A) a
is formed through conrotatory opening of X

(B)
is formed through disrotatory opening of X
m
.co
s em
lathrough conrotatory opening of X
(C)
g
is formed
a
(D)
is formed through disrotatory opening of X

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Page 31

Q.39 The major product formed in the following reaction sequence is

(A)

(B)

(C)

(D)

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Page 32

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m .co

.co s e m
em

s g l a
a
Q.40 Consider the figure given below, where M is a metal and L is a monodentate ligand.
The -bonding ligand group orbital (LGO) having same symmetry with 𝑑𝑧 2 orbital
of M in the octahedral coordination geometry is

m
m .co
m .co s e m
s e l a
g l a ag
a

1
(A) (21 + 22 − 3 − 4 − 5 − 6)
√12

m
(B) 1
(21 − 22 + 3 − 4 + 5 − 6)
m .co
√12
s e
g la
( +  −  −  −  −  )a
1
(C) 1 2 3 4 5 6
√6

1
(D) (1 + 2 + 3 + 4 + 5 + 6)
√6

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Page 33

Q.41 The correct electronic configuration of central metal ion in ferrocene with z-axis
passing through the centre of two C5 H5− rings and the metal ion is

(A) 2
𝑑𝑥𝑦 = 𝑑𝑥22 −𝑦2 < 𝑑𝑧22 < 𝑑𝑥𝑧
0 0
= 𝑑𝑦𝑧

(B) 2
𝑑𝑥𝑧 2
= 𝑑𝑦𝑧 < 𝑑𝑧22 < 𝑑𝑥02 −𝑦2 = 𝑑𝑥𝑦
0

(C) 2
𝑑𝑥𝑦 2
= 𝑑𝑥𝑧 2
= 𝑑𝑦𝑧 < 𝑑𝑥02 −𝑦2 = 𝑑𝑧02

(D) 2
𝑑𝑥𝑦 2
< 𝑑𝑥𝑧 2
= 𝑑𝑦𝑧 < 𝑑𝑥02 −𝑦2 < 𝑑𝑧02

Q.42 The pair of complex ions that exhibits the slowest outer-sphere electron-exchange
reaction at 25 °C is

(A) [Co(NH3)6]3+ and [Co(NH3)6]2+

(B) [Fe(H2O)6]3+ and [Fe(H2O)6]2+

(C) [Ru(NH3)6]3+ and [Ru(NH3)6]2+

(D) [Mn(CN)6]3− and [Mn(CN)6]4−

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m .co

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Q.43 The structure of B4H10 is given below. Its styx number is

m
m .co
m .co s e m
s e l a
g l a ag
a
(A) 4012

(B) 4102

m
.co
(C) 2104

e m
(D) 2014
las
ag

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Q.44 For the following reaction,

The correct option showing the number of phases (P), number of components (C)
and degrees of freedom (F) is

(A) P = 3, C = 2, F = 1

(B) P = 3, C = 3, F = 2

(C) P = 2, C = 3, F = 3

(D) P = 2, C = 2, F = 2

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m .co

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Q.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
frequency 𝜈 in its ground state is

m
m .co
.co m
ℎ𝜈 ℎ𝜈
(A) and , respectively
s e
em
2 4

s l a
(B)
g laand , respectively
ℎ𝜈 ℎ𝜈 ag
a 2 2

(C) ℎ𝜈 ℎ𝜈
and , respectively
4 4

(D) ℎ𝜈 ℎ𝜈
and , respectively
4 2

m
m .co
s e
g la
a

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Q.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. Assume X is stationary
and Y is moving. If the diameter of the molecule X is five times that of Y, then the
rate constant for the reaction is

(𝜂 is viscosity of the solvent; 𝑘 is Boltzmann constant)

(A) 8𝑘𝑇⁄
3𝜂

(B) 4𝑘𝑇⁄
𝜂

(C) 24𝑘𝑇⁄
5𝜂

(D) 15𝑘𝑇⁄
4𝜂

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Q.47 For the following electrochemical cells, liquid junction potentials affect the cell
potential (Ecell).

m
m .co
m .co s e m
s e l a
l
The a correct order of their E at 25 C is
cell
ag
ag

(A) I > II > III

(B) II > I > III

m
(C) III = I > II
m .co
s e
(D) II > I = III
g la
a

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Q.48 The set(s) of reagents that will effect the following conversion is(are)

(A) i) Ph3P=CHOMe; ii) H3O+

(B) i) TsNHNH2; ii) nBuLi (2 equiv) then DMF

(C) i) 1,3-dithane, nBuLi; ii) HgSO4, dil. H2SO4

(D) i) Me3SI, NaH; ii) BF3∙OEt2

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Q.49 The reaction(s) that produce(s) the following compound is(are)

m
m .co
m .co s e m
s e l a
(A)
g l a ag
a

(B)

m
.co
(C)

e m
las
(D)
ag

m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Q.50 The reaction(s) that produce(s) 2-methylindole as the major product is(are)

(A)

(B)

(C)

(D)

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Q.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 the peptide,
Val-Phe-Leu-Met-Tyr-Pro-Gly-Trp-Cys, with chymotrypsin is(are)

m
m .co
(A) Leu-Met-Tyr
m .co s e m
s e l a
(B)
g la
Phe-Leu-Met ag
a
(C) Pro-Gly-Trp

(D) Tyr-Pro-Gly

m
m .co
s e
Q.52
la
Consider the given pairs of complex ions. The correct pair(s) in which each complex
g
ion exhibits three spin-allowed d-d transitions (excluding those arising due to
distortions) is(are) a

(A) [V(H2O)6]3+ and [Ni(H2O)6]2+

m
.co
(B) [Cr(H2O)6]3+ and [NiCl4]2−
m
c. o(C) s e m
e m [Ti(H2O)6]3+ and [Mn(H2O)6]2+
l a
las ag
ag (D) [FeF6]3− and [FeCl4]2−

m .
.co s e m
s em l a
la
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Q.53 The correct statement(s) about the structure of metal oxides is(are)

(A) Spinel has 8 tetrahedral sites and 4 octahedral sites per formula unit

(B) BaTiO3 has a perovskite structure

(C) In Fe3O4, Fe2+ occupies both tetrahedral and octahedral sites in the unit cell

(D) -Al2O3 is a defect spinel

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Q.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 spin-orbit
coupling (J) is(are)

(Given: Atomic number: Nd = 60; Pm = 61; Ho = 67; Er = 68)

m
m .co
.co s e m
s em l a
ag
(A) Pm3+ and Ho3+

g la
(B) a Nd and Er 3+ 3+

(C) Pm3+ and Nd3+

(D) Ho3+ and Er3+

m
.co
s em
g la
Q.55 a enterobactin (ent) is(are)
The correct statement(s) about

(A) It has three catechol moieties

m
.co
(B) It has a serine-trilactone backbone
m
c. o(C) s e m
e m It binds with Fe3+ ion to form [Fe(ent)]3− ion
l a
las ag
ag (D) It has three hydroxamic acid groups

m .
.co s e m
s em l a
la
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Q.56 The correct statement(s) for a surface catalyzed unimolecular gaseous reaction
is(are)

(A) It follows Freundlich adsorption isotherm

(B) Zero order kinetics is followed at sufficiently high pressure of the reacting
molecules

(C) First order kinetics is followed at very low pressure of the reacting molecules

(D) Rate of the reaction is proportional to the fraction of surface covered by the reacting
molecules

Q.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 signals observed
for A and B is ______ (in integer).

Q.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 (including Z) is
______ (in integer).

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Q.59 The sum of bond orders of metal–metal bonds in [Os2Cl8]2−, [Re2Cl8]2−,
[W2(NMe2)6] and [Mo(C5H5)(CO)2]2 is ______ (in integer).

Q.60 The sum of the number of α-particles and β-particles emitted in the nuclear decay
m
process, 238
m .co
206
92𝑈 → 82𝑃𝑏 , is ______ (in integer).

.co s e m
s em l a
Q.61 gThe ag
lapositions of two atoms in spherical polar coordinates (r, θ, Φ) are (1, , ) and 𝜋 𝜋

a (1, , ), where the distance is in Å and the angles are in radian. The interatomic
𝜋 3𝜋
2 2

4 2
distance (in Å) is ______ (rounded off to two decimal places).

Q.62 If the translational partition function for H2 confined in a 1 L vessel at 300 K is
y  1027, then the value of y is ______ (rounded off to one decimal place).
m
.co
(Given: Atomic mass (in amu): H = 1.008; 1 amu = 1.661  10–27 kg;
m
e
h = 6.626  10–34 J s; k = 1.381  10–23 J K–1)
s
g la
a
Q.63 In a calibrated pH meter comprising of glass electrode-standard calomel electrode,
the potential for a buffer solution of pH 4.01 is measured as 0.814 V at 25 C. For
a 4.0  10–3 M solution of acetic acid, the measured potential (in V) is ______
(rounded off to three decimal places).

(Given: Ka of acetic acid at 25 C = 1.75  10–5; 2.303RT/F = 0.059;
Assume: 𝑎𝐻 + = [H+])
m
m .co
m .co s e m
s e g l a
g la a
a

m .
.co s e m
s em l a
la
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Q.64 The Brunauer-Emmett-Teller (BET) surface area measurement data for adsorption
𝑧
of N2 gas at 77 K on 1.0 g of an adsorbent fits into a straight line, when is
(1−𝑧)𝑉
plotted against 𝑧. The slope and intercept of the straight line are 6  10–4 mm–3 and
4  10–6 mm–3, respectively. The surface area (in m2 g–1) of the adsorbent is ______
(rounded off to one decimal place).

(Given: 1 mm3 of N2 gas corresponds to 2.7  1016 molecules and each molecule
occupies 0.16 nm2. V is the volume of gas adsorbed in mm3, 𝑧 is p/po, where p is
the pressure of the N2 gas and po is equilibrium vapour pressure of liquid N2)

Q.65 The orbital angular momentum (L) of an electron is √12ℏ. The minimum angle
between L and its z-component (in degrees) is ______ (rounded off to one decimal
place).

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Document Details

Board / OrgIIT
ExamGraduate Aptitude Test in Engineering
TypeQuestion Paper
Pages47
Languageenglish
Updated24 Sep 2026