JEE Main 27 January 2024 Shift 1 Question Paper

Question 1

$^{n-1}C_r=(k^2-8)\cdot{}^{n}C_{r+1}$ if and only if:

Accepted Answer

(A) $2\sqrt2<k\le 3$

Answer

(B) $2\sqrt3<k\le 3\sqrt2$

Answer

(C) $2\sqrt3<k<3\sqrt3$

Answer

(D) $2\sqrt2<k<2\sqrt3$

Question 2

Position of an ant (S in metres) moving in Y-Z plane is given by $S=2t^2\hat j+5\hat k$ (where $t$ is in second). The magnitude and direction of velocity of the ant at $t=1$ s will be:

Accepted Answer

(D) 4 m/s in y-direction

Answer

(A) 16 m/s in y-direction

Answer

(B) 4 m/s in x-direction

Answer

(C) 9 m/s in z-direction

Question 3

Two nucleotides are joined together by a linkage known as:

Accepted Answer

(A) Phosphodiester linkage

Answer

(B) Glycosidic linkage

Answer

(C) Disulphide linkage

Answer

(D) Peptide linkage

Question 4

Statement (I): Viscosity of gases is greater than that of liquids. Statement (II): Surface tension of a liquid decreases due to the presence of insoluble impurities. In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(B) Statement I is incorrect but Statement II is correct

Answer

(A) Statement I is correct but statement II is incorrect

Answer

(C) Both Statement I and Statement II are incorrect

Answer

(D) Both Statement I and Statement II are correct

Question 5

The distance of the point $(7,-2,11)$ from the line $\dfrac{x-6}{1}=\dfrac{y-4}{0}=\dfrac{z-8}{3}$ along the line $\dfrac{x-5}{2}=\dfrac{y-1}{-3}=\dfrac{z-5}{6}$, is:

Accepted Answer

(B) 14

Answer

(A) 12

Answer

(C) 18

Answer

(D) 21

Question 6

Highest enol content will be shown by:

Accepted Answer

(B) (2)

Answer

(A) (1)

Answer

(C) (3)

Answer

(D) (4)

Question 7

Element not showing variable oxidation state is:

Accepted Answer

(D) Fluorine

Answer

(A) Bromine

Answer

(B) Iodine

Answer

(C) Chlorine

Question 8

If the refractive index of the material of a prism is $\cot\!\left(\dfrac{A}{2}\right)$, where $A$ is the angle of prism then the angle of minimum deviation will be:

Accepted Answer

(A) $\pi-2A$

Answer

(B) $\dfrac{\pi}{2}-2A$

Answer

(C) $\pi-A$

Answer

(D) $\dfrac{\pi}{2}-A$

Question 9

Let $x=x(t)$ and $y=y(t)$ be solutions of the differential equations $\dfrac{dx}{dt}+ax=0$ and $\dfrac{dy}{dt}+by=0$ respectively, $a,b\in\mathbb R$. Given that $x(0)=2$, $y(0)=1$ and $3y(1)=2x(1)$, the value of $t$, for which $x(t)=y(t)$, is:

Accepted Answer

(D) $\log_{4/3} 2$

Answer

(A) $\log_{2/3} 2$

Answer

(B) $\log_4 3$

Answer

(C) $\log_3 4$

Question 10

A proton moving with a constant velocity passes through a region of space without any change in its velocity. If $\vec E$ and $\vec B$ represent the electric and magnetic fields respectively, then the region of space may have: (A) $E=0$, $B=0$ (B) $E
eq 0$, $B
eq 0$ (C) $E
eq 0$, $B=0$ (D) $E=0$, $B
eq 0$. Choose the most appropriate answer from the options given below:

Accepted Answer

(C) (A), (B) and (D) only

Answer

(A) (A), (B) and (C) only

Answer

(B) (A), (C) and (D) only

Answer

(D) (B), (C) and (D) only

Question 11

Which of the following is strongest Bronsted base?

Accepted Answer

(D) (4)

Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Question 12

If $(a,b)$ be the orthocentre of the triangle whose vertices are $(1,2)$, $(2,3)$ and $(3,1)$ and $I_1=\displaystyle\int_a^b x\sin(4x-x^2)\,dx$, $I_2=\displaystyle\int_a^b \sin(4x-x^2)\,dx$, then $36\,\dfrac{I_1}{I_2}$ is equal to:

Accepted Answer

(A) 72

Answer

(B) 88

Answer

(C) 80

Answer

(D) 66

Question 13

Which of the following electronic configuration would be associated with the highest magnetic moment?

Accepted Answer

(D) $[	ext{Ar}]\,3d^6$

Answer

(A) $[	ext{Ar}]\,3d^7$

Answer

(B) $[	ext{Ar}]\,3d^8$

Answer

(C) $[	ext{Ar}]\,3d^3$

Question 14

If $A$ denotes the sum of all the coefficients in the expansion of $(1-3x+10x^2)^n$ and $B$ denotes the sum of all the coefficients in the expansion of $(1+x^2)^n$, then:

Accepted Answer

(A) $A=B^3$

Answer

(B) $3A=B$

Answer

(C) $B=A^3$

Answer

(D) $A=3B$

Question 15

The acceleration due to gravity on the surface of earth is $g$. If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be:

Accepted Answer

(D) $4g$

Answer

(A) $g/4$

Answer

(B) $2g$

Answer

(C) $g/2$

Question 16

The number of common terms in the progressions $4,9,14,19,\ldots$, up to $25^{	ext{th}}$ term and $3,6,9,12,\ldots$, up to $37^{	ext{th}}$ term is:

Accepted Answer

(C) 7

Answer

(A) 9

Answer

(B) 5

Answer

(D) 8

Question 17

A train is moving with a speed of 12 m/s on rails which are 1.5 m apart. To negotiate a curve radius 400 m, the height by which the outer rail should be raised with respect to the inner rail is (Given, $g=10\,	ext{m/s}^2$):

Accepted Answer

(B) 5.4 cm

Answer

(A) 6.0 cm

Answer

(C) 4.8 cm

Answer

(D) 4.2 cm

Question 18

Which of the following has highly acidic hydrogen?

Accepted Answer

(D) (4)

Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Question 19

A solution of two miscible liquids showing negative deviation from Raoult's law will have:

Accepted Answer

(D) decreased vapour pressure, increased boiling point

Answer

(A) increased vapour pressure, increased boiling point

Answer

(B) increased vapour pressure, decreased boiling point

Answer

(C) decreased vapour pressure, decreased boiling point

Question 20

If the shortest distance of the parabola $y^2=4x$ from the centre of the circle $x^2+y^2-4x-16y+64=0$ is $d$, then $d^2$ is equal to:

Accepted Answer

(C) 20

Answer

(A) 16

Answer

(B) 24

Answer

(D) 36

Question 21

Which of the following circuits is reverse-biased?

Accepted Answer

(D) (4)

Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Question 22

If the shortest distance between the lines $\dfrac{x-4}{1}=\dfrac{y+1}{2}=\dfrac{z}{-3}$ and $\dfrac{x-\lambda}{2}=\dfrac{y+1}{4}=\dfrac{z-2}{-5}$ is $\dfrac{6}{\sqrt5}$, then the sum of all possible values of $\lambda$ is:

Accepted Answer

(B) 8

Answer

(A) 5

Answer

(C) 7

Answer

(D) 10

Question 23

Identify the physical quantity that cannot be measured using spherometer:

Accepted Answer

(B) Specific rotation of liquids

Answer

(A) Radius of curvature of concave surface

Answer

(C) Thickness of thin plates

Answer

(D) Radius of curvature of convex surface

Question 24

Consider the following complex ions $P=[	ext{FeF}_6]^{3-}$, $Q=[	ext{V}(	ext{H}_2	ext{O})_6]^{2+}$, $R=[	ext{Fe}(	ext{H}_2	ext{O})_6]^{2+}$. The correct order of the complex ions, according to their spin only magnetic moment values (in B.M.) is:

Accepted Answer

(C) $Q<R<P$

Answer

(A) $R<Q<P$

Answer

(B) $R<P<Q$

Answer

(D) $Q<P<R$

Question 25

Choose the polar molecule from the following:

Accepted Answer

(D) $	ext{CHCl}_3$

Answer

(A) $	ext{CCl}_4$

Answer

(B) $	ext{CO}_2$

Answer

(C) $	ext{CH}_2=	ext{CH}_2$

Question 26

Two bodies of mass 4 g and 25 g are moving with equal kinetic energies. The ratio of magnitude of their linear momentum is:

Accepted Answer

(C) 2:5

Answer

(A) 3:5

Answer

(B) 5:4

Answer

(D) 4:5

Question 27

If $\displaystyle\int_0^1\dfrac{1}{\sqrt{3+x}+\sqrt{1+x}}\,dx=a+b\sqrt2+c\sqrt3$, where $a$, $b$, $c$ are rational numbers, then $2a+3b-4c$ is equal to:

Accepted Answer

(D) 8

Answer

(A) 4

Answer

(B) 10

Answer

(C) 7

Question 28

Let $S=\{1,2,3,\ldots,10\}$. Suppose $M$ is the set of all the subsets of $S$, then the relation $R=\{(A,B):A\cap B
eq\varphi;\,A,B\in M\}$ is:

Accepted Answer

(D) symmetric only

Answer

(A) symmetric and reflexive only

Answer

(B) reflexive only

Answer

(C) symmetric and transitive only

Question 29

Statement (I): The 4f-series and 5f-series of elements are placed separately in the Periodic table to preserve the principle of classification. Statement (II): S-block elements can be found in pure form in nature. In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(C) Statement I is true but Statement II is false

Answer

(A) Statement I is false but Statement II is true

Answer

(B) Both Statement I and Statement II are true

Answer

(D) Both Statement I and Statement II are false

Question 30

0.08 kg air is heated at constant volume through $5^{\circ}$C. The specific heat of air at constant volume is 0.17 kcal/kg·$^{\circ}$C and $J=4.18$ joule/cal. The change in its internal energy is approximately:

Accepted Answer

(C) 284 J

Answer

(A) 318 J

Answer

(B) 298 J

Answer

(D) 142 J

Question 31

Statement (I): p-nitrophenol is more acidic than m-nitrophenol and o-nitrophenol. Statement (II): Ethanol will give immediate turbidity with Lucas reagent. In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

(A) Statement I is true but Statement II is false

Answer

(B) Both Statement I and Statement II are true

Answer

(C) Both Statement I and Statement II are false

Answer

(D) Statement I is false but Statement II is true

Question 32

The radius of third stationary orbit of electron for Bohr’s atom is $R$. The radius of fourth stationary orbit will be:

Accepted Answer

(B) $\dfrac{16}{9}R$

Answer

(A) $\dfrac{4}{3}R$

Answer

(C) $\dfrac{3}{4}R$

Answer

(D) $\dfrac{9}{16}R$

Question 33

If $S=\{z\in\mathbb C:|z-i|=|z+i|=|z-1|\}$, then $n(S)$ is:

Accepted Answer

(A) 1

Answer

(B) 0

Answer

(C) 3

Answer

(D) 2

Question 34

The ascending order of acidity of —OH group in the following compounds is: (A) Bu—OH; (B) 4-nitrophenol; (C) 4-methoxyphenol; (D) phenol; (E) 2,4-dinitrophenol. Choose the correct answer from the options given below:

Accepted Answer

(D) $(A)<(C)<(D)<(B)<(E)$

Answer

(A) $(A)<(D)<(C)<(B)<(E)$

Answer

(B) $(C)<(A)<(D)<(B)<(E)$

Answer

(C) $(C)<(D)<(B)<(A)<(E)$

Question 35

Four distinct points $(2k,3k)$, $(1,0)$, $(0,1)$ and $(0,0)$ lie on a circle for $k$ equal to:

Accepted Answer

(C) $\dfrac{5}{13}$

Answer

(A) $\dfrac{2}{13}$

Answer

(B) $\dfrac{3}{13}$

Answer

(D) $\dfrac{1}{13}$

Question 36

A rectangular loop of length 2.5 m and width 2 m is placed at $60^{\circ}$ to a magnetic field of 4 T. The loop is removed from the field in 10 sec. The average emf induced in the loop during this time is:

Accepted Answer

(C) $+1$ V

Answer

(A) $-2$ V

Answer

(B) $+2$ V

Answer

(D) $-1$ V

Question 37

An electric charge $10^{-6}\,\mu$C is placed at origin (0, 0) m of X–Y co-ordinate system. Two points P and Q are situated at $(\sqrt3,\sqrt3)$ m and $(\sqrt6,0)$ m respectively. The potential difference between the points P and Q will be:

Accepted Answer

(C) 0 V

Answer

(A) $\sqrt3$ V

Answer

(B) $\sqrt6$ V

Answer

(D) 3 V

Question 38

Consider the function $f(x)=\begin{cases}\dfrac{a(7x-12-x^2)}{b\,|x^2-7x+12|}, & x<3\ 2^{\sin(x-3)/(x-[x])}, & x>3\ b, & x=3\end{cases}$, where $[x]$ denotes the greatest integer less than or equal to $x$. If $S$ denotes the set of all ordered pairs $(a,b)$ such that $f(x)$ is continuous at $x=3$, then the number of elements in $S$ is:

Accepted Answer

(D) 1

Answer

(A) 2

Answer

(B) Infinitely many

Answer

(C) 4

Question 39

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Melting point of Boron (2453 K) is unusually high in group 13 elements.
Reason (R): Solid Boron has very strong crystalline lattice.
In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(B) Both (A) and (R) are correct and (R) is the correct explanation of (A)

Answer

(A) Both (A) and (R) are correct but (R) is Not the correct explanation of (A)

Answer

(C) (A) is true but (R) is false

Answer

(D) (A) is false but (R) is true

Question 40

Cyclohexene is __________ type of an organic compound.

Accepted Answer

(D) Alicyclic

Answer

(A) Benzenoid aromatic

Answer

(B) Benzenoid non-aromatic

Answer

(C) Acyclic

Question 41

Let $a_1,a_2,\ldots,a_{10}$ be 10 observations such that $\displaystyle\sum_{k=1}^{10}a_k=50$ and $\displaystyle\sum_{\forall k<j}a_k\,a_j=1100$. Then the standard deviation of $a_1,a_2,\ldots,a_{10}$ is equal to:

Accepted Answer

(B) $\sqrt5$

Answer

(A) 5

Answer

(C) 10

Answer

(D) $\sqrt{115}$

Question 42

A convex lens of focal length 40 cm forms an image of an extended source of light on a photo-electric cell. A current $I$ is produced. The lens is replaced by another convex lens having the same diameter but focal length 20 cm. The photoelectric current now is:

Accepted Answer

(D) $I$

Answer

(A) $I/2$

Answer

(B) $4I$

Answer

(C) $2I$

Question 43

Yellow compound of lead chromate gets dissolved on treatment with hot NaOH solution. The product of lead formed is a:

Accepted Answer

(D) Dianionic complex with coordination number four

Answer

(A) Tetraanionic complex with coordination number six

Answer

(B) Neutral complex with coordination number four

Answer

(C) Dianionic complex with coordination number six

Question 44

The length of the chord of the ellipse $\dfrac{x^2}{25}+\dfrac{y^2}{16}=1$, whose mid point is $\left(1,\dfrac{2}{5}\right)$, is equal to:

Accepted Answer

(A) $\dfrac{\sqrt{1691}}{5}$

Answer

(B) $\dfrac{\sqrt{2009}}{5}$

Answer

(C) $\dfrac{\sqrt{1741}}{5}$

Answer

(D) $\dfrac{\sqrt{1541}}{5}$

Question 45

A body of mass 1000 kg is moving horizontally with a velocity 6 m/s. If 200 kg extra mass is added, the final velocity (in m/s) is:

Accepted Answer

(D) 5

Answer

(A) 6

Answer

(B) 2

Answer

(C) 3

Question 46

The portion of the line $4x+5y=20$ in the first quadrant is trisected by the lines $L_1$ and $L_2$ passing through the origin. The tangent of an angle between the lines $L_1$ and $L_2$ is:

Accepted Answer

(D) $\dfrac{30}{41}$

Answer

(A) $\dfrac{8}{5}$

Answer

(B) $\dfrac{25}{41}$

Answer

(C) $\dfrac{2}{5}$

Question 47

A plane electromagnetic wave propagating in x-direction is described by $E_y=(200\,	ext{Vm}^{-1})\sin[1.5	imes 10^7 t-0.05\,x]$. The intensity of the wave is (Use $\epsilon_0=8.85	imes 10^{-12}\,	ext{C}^2	ext{N}^{-1}	ext{m}^{-2}$):

Accepted Answer

(B) $53.1\,	ext{Wm}^{-2}$

Answer

(A) $35.4\,	ext{Wm}^{-2}$

Answer

(C) $26.6\,	ext{Wm}^{-2}$

Answer

(D) $106.2\,	ext{Wm}^{-2}$

Question 48

Given below are two statements: Statement (I): Aqueous solution of ammonium carbonate is basic. Statement (II): Acidic/basic nature of salt solution of a salt of weak acid and weak base depends on $K_a$ and $K_b$ value of acid and the base forming it. In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(A) Both Statement I and Statement II are correct

Answer

(B) Statement I is correct but Statement II is incorrect

Answer

(C) Both Statement I and Statement II are incorrect

Answer

(D) Statement I is incorrect but Statement II is correct

Question 49

IUPAC name of following compound (P) is:

Accepted Answer

(B) 3-Ethyl-1,1-dimethylcyclohexane

Answer

(A) 1-Ethyl-5,5-dimethylcyclohexane

Answer

(C) 1-Ethyl-3,3-dimethylcyclohexane

Answer

(D) 1,1-Dimethyl-3-ethylcyclohexane

Question 50

Let $\vec a=\hat i+2\hat j+\hat k$, $\vec b=3(\hat i-\hat j+\hat k)$. Let $\vec c$ be the vector such that $\vec a	imes\vec c=\vec b$ and $\vec a\cdot\vec c=3$. Then $\vec a\cdot\big((\vec c	imes\vec b)-\vec b-\vec c\big)$ is equal to:

Accepted Answer

(B) 24

Answer

(A) 32

Answer

(C) 20

Answer

(D) 36

Question 51

Statement (I): Planck’s constant and angular momentum have same dimensions. Statement (II): Linear momentum and moment of force have same dimensions. In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

(A) Statement I is true but Statement II is false

Answer

(B) Both Statement I and Statement II are false

Answer

(C) Both Statement I and Statement II are true

Answer

(D) Statement I is false but Statement II is true

Question 52

A wire of length 10 cm and radius $\sqrt7	imes 10^{-4}$ m connected across the right gap of a meter bridge. When a resistance of 4.5 $\Omega$ is connected on the left gap by using a resistance box, the balance length is found to be at 60 cm from the left end. If the resistivity of the wire is $R	imes 10^{-7}\,\Omega$m, then value of $R$ is:

Accepted Answer

(C) 66

Answer

(A) 63

Answer

(B) 70

Answer

(D) 35

Question 53

NaCl reacts with conc. $	ext{H}_2	ext{SO}_4$ and $	ext{K}_2	ext{Cr}_2	ext{O}_7$ to give reddish fumes (B), which react with NaOH to give yellow solution (C). (B) and (C) respectively are:

Accepted Answer

(A) $	ext{CrO}_2	ext{Cl}_2,\;	ext{Na}_2	ext{CrO}_4$

Answer

(B) $	ext{Na}_2	ext{CrO}_4,\;	ext{CrO}_2	ext{Cl}_2$

Answer

(C) $	ext{CrO}_2	ext{Cl}_2,\;	ext{KHSO}_4$

Answer

(D) $	ext{CrO}_2	ext{Cl}_2,\;	ext{Na}_2	ext{Cr}_2	ext{O}_7$

Question 54

If $a=\displaystyle\lim_{x	o 0}\dfrac{\sqrt{1+\sqrt{1+x^4}}-\sqrt2}{x^4}$ and $b=\displaystyle\lim_{x	o 0}\dfrac{\sin^2 x}{\sqrt2-\sqrt{1+\cos x}}$, then the value of $ab^3$ is:

Accepted Answer

(B) 32

Answer

(A) 36

Answer

(C) 25

Answer

(D) 30

Question 55

Consider the matrix $f(x)=\begin{bmatrix}\cos x & -\sin x & 0\ \sin x & \cos x & 0\ 0 & 0 & 1\end{bmatrix}$. Given below are two statements:
Statement I: $f(-x)$ is the inverse of the matrix $f(x)$.
Statement II: $f(x)\cdot f(y)=f(x+y)$.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

(D) Both Statement I and Statement II are true

Answer

(A) Statement I is false but Statement II is true

Answer

(B) Both Statement I and Statement II are false

Answer

(C) Statement I is true but Statement II is false

Question 56

The correct statement regarding nucleophilic substitution reaction in a chiral alkyl halide is:

Accepted Answer

(D) Racemisation occurs in $S_N1$ reaction and inversion occurs in $S_N2$ reaction.

Answer

(A) Retention occurs in $S_N1$ reaction and inversion occurs in $S_N2$ reaction.

Answer

(B) Racemisation occurs in $S_N1$ reaction and retention occurs in $S_N2$ reaction.

Answer

(C) Racemisation occurs in both $S_N1$ and $S_N2$ reactions.

Question 57

A wire of resistance $R$ and length $L$ is cut into 5 equal parts. If these parts are joined parallely, then resultant resistance will be:

Accepted Answer

(A) $\dfrac{1}{25}R$

Answer

(B) $\dfrac{1}{5}R$

Answer

(C) $25R$

Answer

(D) $5R$

Question 58

The average kinetic energy of a monatomic molecule is 0.414 eV at temperature (Use $K_B=1.38	imes 10^{-23}$ J/mol-K):

Accepted Answer

(B) 3200 K

Answer

(A) 3000 K

Answer

(C) 1600 K

Answer

(D) 1500 K

Question 59

The function $f:\mathbb N-\{1\}	o\mathbb N$ defined by $f(n)=$ the highest prime factor of $n$, is:

Accepted Answer

(D) neither one-one nor onto

Answer

(A) both one-one and onto

Answer

(B) one-one only

Answer

(C) onto only

Question 60

The electronic configuration for Neodymium is: [Atomic Number for Neodymium 60]

Accepted Answer

(A) $[	ext{Xe}]\,4f^4\,6s^2$

Answer

(B) $[	ext{Xe}]\,5f^4\,7s^2$

Answer

(C) $[	ext{Xe}]\,6f^4\,6s^2$

Answer

(D) $[	ext{Xe}]\,4f^5\,5d^1\,6s^2$

Question 61

The least positive integral value of $\alpha$, for which the angle between the vectors $\alpha\hat i-2\hat j+2\hat k$ and $\alpha\hat i+2\alpha\hat j-2\hat k$ is acute, is __________.

Accepted Answer

5

Question 62

The mass of silver (Molar mass of Ag : 108 g\,mol$^{-1}$) displaced by a quantity of electricity which displaces 5600 mL of $	ext{O}_2$ at S.T.P. will be __________ g.

Accepted Answer

108

Question 63

A particle starts from origin at $t=0$ with a velocity $5\hat i$ m/s and moves in x	extendash y plane under action of a force which produces a constant acceleration of $(3\hat i+2\hat j)$ m/s$^2$. If the x-coordinate of the particle at that instant is 84 m, then the speed of the particle at this time is $\sqrt{\alpha}$ m/s. The value of $\alpha$ is __________.

Accepted Answer

673

Question 64

Let for a differentiable function $f:(0,\infty)	o\mathbb R$, $f(x)-f(y)\ge\log_e(x/y)+x-y$, $\forall\,x,y\in(0,\infty)$. Then $\displaystyle\sum_{n=1}^{20}f'\!\left(\dfrac{1}{n^2}ight)$ is equal to __________.

Accepted Answer

2890

JEE Main 27 January 2024 Shift 1 Question Paper with Answers

Physics — JEE Main 27 January 2024 Shift 1

Chemistry — JEE Main 27 January 2024 Shift 1

Mathematics — JEE Main 27 January 2024 Shift 1

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