JEE Main 6 April 2024 Shift 1 Question Paper

Question 1

If $f(x)=x^{3}\sin\left(	frac{1}{x}ight)$ for $x
eq 0$ and $f(0)=0$, then

Accepted Answer

(B) $f''\left(	frac{2}{\pi}ight)=	frac{24-\pi^{2}}{2\pi}$

Answer

(A) $f''(0)=1$

Answer

(C) $f''\left(	frac{2}{\pi}ight)=	frac{12-\pi^{2}}{2\pi}$

Answer

(D) $f''(0)=0$

Question 2

If $A(3,1,-1)$, $B\left(	frac{5}{3},	frac{7}{3},	frac{1}{3}ight)$, $C(2,2,1)$ and $D\left(	frac{10}{3},	frac{2}{3},-	frac{1}{3}ight)$ are the vertices of a quadrilateral $ABCD$, then its area is

Accepted Answer

(A) $	frac{4\sqrt{2}}{3}$

Answer

(B) $	frac{5\sqrt{2}}{3}$

Answer

(C) $2\sqrt{2}$

Answer

(D) $	frac{2\sqrt{2}}{3}$

Question 3

$\displaystyle\int_{0}^{\pi/4}\frac{\cos^{2}x\,\sin^{2}x}{(\cos^{3}x+\sin^{3}x)^{2}}\,dx$ is equal to

Accepted Answer

(C) $	frac{1}{6}$

Answer

(A) $	frac{1}{12}$

Answer

(B) $	frac{1}{3}$

Answer

(D) $	frac{1}{9}$

Question 4

The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On rechecking, it was found that an observation 8 was incorrect. If 8 is replaced by 12, then the correct standard deviation is

Accepted Answer

(C) $\sqrt{3.96}$

Answer

(A) $\sqrt{3.86}$

Answer

(B) $1.8$

Answer

(D) $1.94$

Question 5

The function $f(x)=\dfrac{x^{2}+2x-15}{x^{2}-4x+9}$, $x\in\mathbb{R}$ is

Accepted Answer

(C) neither one-one nor onto

Answer

(A) both one-one and onto

Answer

(B) onto but not one-one

Answer

(D) one-one but not onto

Question 6

Let $A=\{n\in[100,700]\cap\mathbb{N}:n	ext{ is neither a multiple of 3 nor a multiple of 4}\}$. Then the number of elements in $A$ is

Accepted Answer

(A) $300$

Answer

(B) $280$

Answer

(C) $310$

Answer

(D) $290$

Question 7

Let $C$ be the circle of minimum area touching the parabola $y=6-x^{2}$ and the lines $y=\sqrt{3}\,|x|$. Then, which one of the following points lies on the circle $C$?

Accepted Answer

(A) $(2,4)$

Answer

(B) $(1,2)$

Answer

(C) $(2,2)$

Answer

(D) $(1,1)$

Question 8

For $\alpha,\beta\in\mathbb{R}$ and a natural number $n$, let $A_{r}=\begin{vmatrix} r & 1 & 	frac{n^{2}}{2}+\alpha \ 2r & 2 & n^{2}-\beta \ 3r-2 & 3 & 	frac{n(3n-1)}{2}\end{vmatrix}$. Then $2A_{10}-A_{8}$ is

Accepted Answer

(A) $4\alpha+2\beta$

Answer

(B) $2\alpha+4\beta$

Answer

(C) $2\beta$

Answer

(D) $0$

Question 9

The shortest distance between the lines $\dfrac{x-3}{2}=\dfrac{y+15}{-7}=\dfrac{z-9}{5}$ and $\dfrac{x+1}{2}=\dfrac{y-1}{1}=\dfrac{z-9}{-3}$ is

Accepted Answer

(B) $4\sqrt{3}$

Answer

(A) $6\sqrt{5}$

Answer

(C) $5\sqrt{3}$

Answer

(D) $8\sqrt{3}$

Question 10

A company has two plants $A$ and $B$ to manufacture motorcycles. 60% motorcycles are manufactured at plant $A$ and the remaining at plant $B$. 80% of the motorcycles manufactured at plant $A$ are of standard quality, while 90% of those manufactured at plant $B$ are of standard quality. If $p$ is the probability that a motorcycle, found to be of standard quality, is manufactured at plant $B$, then $126p$ is

Accepted Answer

(A) $54$

Answer

(B) $64$

Answer

(C) $66$

Answer

(D) $56$

Question 11

Let $\alpha,\beta$ be the distinct roots of the equation $x^{2}-(t^{2}-5t+6)x+1=0$, $t\in\mathbb{R}$ and $a_{n}=\alpha^{n}+\beta^{n}$. Then the minimum value of $\dfrac{a_{2023}+a_{2025}}{a_{2024}}$ is

Accepted Answer

(C) $-	frac{1}{4}$

Answer

(A) $	frac{1}{4}$

Answer

(B) $-	frac{1}{2}$

Answer

(D) $	frac{1}{2}$

Question 12

Let the relations $R_{1}$ and $R_{2}$ on the set $X=\{1,2,3,\ldots,20\}$ be given by $R_{1}=\{(x,y):2x-3y=2\}$ and $R_{2}=\{(x,y):-5x+4y=0\}$. If $M$ and $N$ are the minimum number of elements required to be added in $R_{1}$ and $R_{2}$, respectively, in order to make the relations symmetric, then $M+N$ equals

Accepted Answer

(D) $10$

Answer

(A) $8$

Answer

(B) $16$

Answer

(C) $12$

Question 13

Let a variable line of slope $m>0$ passing through the point $(4,-9)$ intersect the coordinate axes at the points $A$ and $B$. The minimum value of the sum of the distances of $A$ and $B$ from the origin is

Accepted Answer

(A) $25$

Answer

(B) $30$

Answer

(C) $15$

Answer

(D) $10$

Question 14

The interval in which the function $f(x)=x^{x}$, $x>0$, is strictly increasing is

Accepted Answer

(D) $\left[	frac{1}{e},\inftyight)$

Answer

(A) $\left(0,	frac{1}{e}ight]$

Answer

(B) $\left[	frac{1}{e^{2}},1ight)$

Answer

(C) $(0,\infty)$

Question 15

A circle is inscribed in an equilateral triangle of side length 12. If the area and perimeter of any square inscribed in this circle are $m$ and $n$, respectively, then $m+n^{2}$ is equal to

Accepted Answer

(B) $408$

Answer

(A) $396$

Answer

(C) $312$

Answer

(D) $414$

Question 16

The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon is

Accepted Answer

(C) $16$

Answer

(A) $24$

Answer

(B) $56$

Answer

(D) $48$

Question 17

Let $y=y(x)$ be the solution of the differential equation $(1+x^{2})\dfrac{dy}{dx}+y=e^{	an^{-1}x}$, $y(1)=0$. Then $y(0)$ is

Accepted Answer

(B) $	frac{1}{2}\left(1-e^{\pi/2}ight)$

Answer

(A) $	frac{1}{4}\left(e^{\pi/2}-1ight)$

Answer

(C) $	frac{1}{4}\left(1-e^{\pi/2}ight)$

Answer

(D) $	frac{1}{2}\left(e^{\pi/2}-1ight)$

Question 18

Let $y=y(x)$ be the solution of the differential equation $(2x\log_{e}x)\dfrac{dy}{dx}+2y=\dfrac{3}{x}\log_{e}x$, $x>0$ and $y(e^{-1})=0$. Then $y(e)$ is equal to

Accepted Answer

(C) $-	frac{3}{e}$

Answer

(A) $	frac{3}{2e}$

Answer

(B) $	frac{2}{3e}$

Answer

(D) $	frac{2}{e}$

Question 19

Let the area of the region enclosed by the curves $y=3x$, $2y=27-3x$ and $y=3x-x\sqrt{x}$ be $A$. Then $10A$ is equal to

Accepted Answer

(D) $162$

Answer

(A) $184$

Answer

(B) $154$

Answer

(C) $172$

Question 20

Let $f:(-\infty,\infty)-\{0\}	o\mathbb{R}$ be a differentiable function such that $f'(1)=\displaystyle\lim_{a	o\infty}a^{2}f\left(	frac{1}{a}ight)$. Then $\displaystyle\lim_{a	o\infty}\frac{a(a+1)}{2}	an^{-1}\left(	frac{1}{a}ight)+a^{2}-2\log_{e}a$ is equal to

Accepted Answer

(C) $	frac{5}{2}+	frac{\pi}{8}$

Answer

(A) $	frac{3}{2}+	frac{\pi}{4}$

Answer

(B) $	frac{3}{8}+	frac{\pi}{4}$

Answer

(D) $	frac{3}{4}+	frac{\pi}{8}$

Question 21

Let $\alpha\beta\gamma=45$; $\alpha,\beta,\gamma\in\mathbb{R}$. If $x(\alpha,1,2)+y(1,\beta,2)+z(2,3,\gamma)=(0,0,0)$ for some $x,y,z\in\mathbb{R}$, $xyz
eq 0$, then $6\alpha+4\beta+\gamma$ is equal to _______.

Accepted Answer

55

Question 22

Let a conic $C$ pass through the point $(4,-2)$ and $P(x,y)$, $x\geq 3$, be any point on $C$. Let the slope of the line touching the conic $C$ only at a single point $P$ be half the slope of the line joining the points $P$ and $(3,-5)$. If the focal distance of the point $(7,1)$ on $C$ is $d$, then $12d$ equals _______.

Accepted Answer

75

Question 23

Let $r_{k}=\dfrac{\int_{0}^{1}(1-x^{7})^{k}\,dx}{\int_{0}^{1}(1-x^{7})^{k+1}\,dx}$, $k\in\mathbb{N}$. Then the value of $\displaystyle\sum_{k=1}^{10}\frac{1}{7(r_{k}-1)}$ is equal to _______.

Accepted Answer

65

Question 24

Let $x_{1},x_{2},x_{3},x_{4}$ be the solution of the equation $4x^{4}+8x^{3}-17x^{2}-12x+9=0$ and $(4+x_{1}^{2})(4+x_{2}^{2})(4+x_{3}^{2})(4+x_{4}^{2})=\dfrac{125}{16}m$. Then the value of $m$ is _______.

Accepted Answer

221

Question 25

Let $L_{1},L_{2}$ be the lines passing through the point $P(0,1)$ and touching the parabola $9x^{2}+12x+18y-14=0$. Let $Q$ and $R$ be the points on the lines $L_{1}$ and $L_{2}$ such that $	riangle PQR$ is an isosceles triangle with base $QR$. If the slopes of the lines $QR$ are $m_{1}$ and $m_{2}$, then $16(m_{1}^{2}+m_{2}^{2})$ is equal to _______.

Accepted Answer

68

Question 26

If the second, third and fourth terms in the expansion of $(x+y)^{n}$ are 135, 30 and $\dfrac{10}{3}$, respectively, then $6(n^{3}+x^{2}+y)$ is equal to _______.

Accepted Answer

806

Question 27

Let the first term of a series be $T_{1}=6$ and its $r^{	ext{th}}$ term $T_{r}=3T_{r-1}+6^{r}$, $r=2,3,\ldots,n$. If the sum of the first $n$ terms of this series is $\dfrac{1}{5}(n^{2}-12n+39)(4\cdot 6^{n}-5\cdot 3^{n}+1)$, then $n$ is equal to _______.

Accepted Answer

6

Question 28

For $n\in\mathbb{N}$, if $\cot^{-1}3+\cot^{-1}4+\cot^{-1}5+\cot^{-1}n=\dfrac{\pi}{4}$, then $n$ is equal to _______.

Accepted Answer

47

Question 29

Let $P$ be the point $(10,-2,-1)$ and $Q$ be the foot of the perpendicular drawn from the point $R(1,7,6)$ on the line passing through the points $(2,-5,11)$ and $(-6,7,-5)$. Then the length of the line segment $PQ$ is equal to _______.

Accepted Answer

13

Question 30

Let $\vec{a}=2\hat{i}-3\hat{j}+4\hat{k}$, $\vec{b}=3\hat{i}+4\hat{j}-5\hat{k}$, and a vector $\vec{c}$ be such that $\vec{a}	imes(\vec{b}+\vec{c})+\vec{b}	imes\vec{c}=\hat{i}+8\hat{j}+13\hat{k}$. If $\vec{a}\cdot\vec{c}=13$, then $24-\vec{b}\cdot\vec{c}$ is equal to _______.

Accepted Answer

46

Question 31

To find the spring constant ($k$) of a spring experimentally, a student commits 2% positive error in the measurement of time and 1% negative error in the measurement of mass. The percentage error in determining the value of $k$ is:

Accepted Answer

(D) $5\%$

Answer

(A) $3\%$

Answer

(B) $1\%$

Answer

(C) $4\%$

Question 32

A bullet of mass 50 g is fired with a speed 100 m/s on a plywood and emerges with 40 m/s. The percentage loss of kinetic energy is:

Accepted Answer

(D) $84\%$

Answer

(A) $32\%$

Answer

(B) $44\%$

Answer

(C) $16\%$

Question 33

The ratio of the shortest wavelength of the Balmer series to the shortest wavelength of the Lyman series for hydrogen atom is:

Accepted Answer

(A) $4:1$

Answer

(B) $1:2$

Answer

(C) $1:4$

Answer

(D) $2:1$

Question 34

To project a body of mass $m$ from earth's surface to infinity, the required kinetic energy is (assume the radius of earth is $R_{E}$, $g=$ acceleration due to gravity on the surface of earth):

Accepted Answer

(B) $mgR_{E}$

Answer

(A) $2mgR_{E}$

Answer

(C) $	frac{1}{2}mgR_{E}$

Answer

(D) $4mgR_{E}$

Question 35

Electromagnetic waves travel in a medium with a speed of $1.5	imes10^{8}$ m s$^{-1}$. The relative permeability of the medium is 2.0. The relative permittivity of the medium will be:

Accepted Answer

(D) $2$

Answer

(A) $5$

Answer

(B) $1$

Answer

(C) $4$

Question 36

Which of the following phenomena is not explained by the wave nature of light? (A) reflection (B) diffraction (C) photoelectric effect (D) interference (E) polarization. Choose the most appropriate answer from the options given below:

Accepted Answer

(B) (C) only

Answer

(A) (E) only

Answer

(C) (B), (D) only

Answer

(D) (A), (C) only

Question 37

While measuring the diameter of a wire using a screw gauge the following readings were noted. Main scale reading is 1 mm and the 42nd division of the circular scale coincides with the reference line. Pitch of the screw gauge is 1 mm and it has 100 divisions on the circular scale. The diameter of the wire is $	frac{x}{50}$ mm. The value of $x$ is:

Accepted Answer

(B) $71$

Answer

(A) $142$

Answer

(C) $42$

Answer

(D) $21$

Question 38

$\sigma$ is the uniform surface charge density of a thin spherical shell of radius $R$. The electric field at any point on the surface of the spherical shell is:

Accepted Answer

(C) $	frac{\sigma}{\varepsilon_{0}}$

Answer

(A) $	frac{\sigma}{\varepsilon_{0}}R$

Answer

(B) $	frac{\sigma}{2\varepsilon_{0}}$

Answer

(D) $	frac{\sigma}{4\varepsilon_{0}}$

Question 39

The value of the unknown resistance ($x$) for which the potential difference between $B$ and $D$ will be zero in the arrangement shown, is:

Accepted Answer

(C) $6\,\Omega$

Answer

(A) $3\,\Omega$

Answer

(B) $9\,\Omega$

Answer

(D) $42\,\Omega$

Question 40

The specific heat at constant pressure of a real gas obeying $PV^{2}=RT$ equation is:

Accepted Answer

(D) $C_{v}+	frac{R}{2V}$

Answer

(A) $C_{v}+R$

Answer

(B) $	frac{R}{3}+C_{v}$

Answer

(C) $R$

Question 41

Match List-I (physical quantities) with List-II (their dimensional formulae). Choose the correct answer from the options given below:

Accepted Answer

(B) A-IV, B-III, C-II, D-I

Answer

(A) A-I, B-III, C-II, D-IV

Answer

(C) A-III, B-I, C-II, D-IV

Answer

(D) A-IV, B-II, C-III, D-I

Question 42

Given below are two statements:
Statement I: In an LCR series circuit, current is maximum at resonance.
Statement II: Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to the same voltage source.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

(C) Both Statement I and Statement II are true

Answer

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

Answer

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

Answer

(D) Both Statement I and Statement II are false

Question 43

A sample contains a mixture of helium and oxygen gas. The ratio of the root mean square speed of helium to that of oxygen in the sample is:

Accepted Answer

(B) $2\sqrt{2}$

Answer

(A) $	frac{1}{\sqrt{32}}$

Answer

(C) $	frac{1}{4}$

Answer

(D) $	frac{1}{2\sqrt{2}}$

Question 44

A light string passing over a smooth light pulley connects two blocks of masses $m_{1}$ and $m_{2}$ (where $m_{2}>m_{1}$). If the acceleration of the system is $	frac{g}{\sqrt{2}}$, then the ratio of the masses $	frac{m_{1}}{m_{2}}$ is:

Accepted Answer

(A) $	frac{\sqrt{2}-1}{\sqrt{2}+1}$

Answer

(B) $	frac{1+\sqrt{5}}{\sqrt{5}-1}$

Answer

(C) $	frac{1+\sqrt{5}}{\sqrt{2}-1}$

Answer

(D) $	frac{\sqrt{3}+1}{\sqrt{2}-1}$

Question 45

Four particles $A$, $B$, $C$, $D$ of mass $	frac{m}{2}$, $m$, $2m$, $4m$ have the same momentum, respectively. The particle with maximum kinetic energy is:

Accepted Answer

(C) $A$

Answer

(A) $D$

Answer

(B) $C$

Answer

(D) $B$

Question 46

A train starting from rest first accelerates uniformly up to a speed of 80 km/h for time $t$, then it moves with a constant speed for time $3t$. The average speed of the train for this duration of the journey will be (in km/h):

Accepted Answer

(B) $70$

Answer

(A) $80$

Answer

(C) $30$

Answer

(D) $40$

Question 47

An element $\Delta l=\Delta x\,\hat{i}$ is placed at the origin and carries a large current $I=10$ A. The magnetic field on the $y$-axis at a distance of 0.5 m from the element $\Delta x$ of 1 cm length is:

Accepted Answer

(A) $4	imes10^{-8}$ T

Answer

(B) $8	imes10^{-8}$ T

Answer

(C) $12	imes10^{-8}$ T

Answer

(D) $10	imes10^{-8}$ T

Question 48

A small ball of mass $m$ and density $\rho$ is dropped in a viscous liquid of density $\rho_{0}$. After some time, the ball falls with constant velocity. The viscous force on the ball is:

Accepted Answer

(D) $mg\left(1-	frac{ho_{0}}{ho}ight)$

Answer

(A) $mg\left(	frac{ho_{0}}{ho}-1ight)$

Answer

(B) $mg\left(1+	frac{ho}{ho_{0}}ight)$

Answer

(C) $mg(1-\rho\rho_{0})$

Question 49

In a photoelectric experiment, light of energy 2.48 eV irradiates a photosensitive material. The stopping potential was measured to be 0.5 V. The work function of the photosensitive material is:

Accepted Answer

(D) $1.98$ eV

Answer

(A) $0.5$ eV

Answer

(B) $1.68$ eV

Answer

(C) $2.48$ eV

Question 50

If the radius of earth is reduced to three-fourth of its present value without change in its mass, then the value of the duration of the day of earth will be _______ hours 30 minutes.

Accepted Answer

13

Question 51

Three infinitely long charged thin sheets are placed as shown in the figure. The magnitude of the electric field at the point $P$ is $	frac{x\sigma}{\varepsilon_{0}}$. The value of $x$ is _______. (all quantities are measured in SI units)

Accepted Answer

2

Question 52

A big drop is formed by coalescing 1000 small droplets of water. The ratio of the surface energy of 1000 droplets to that of the big drop is $	frac{10}{x}$. The value of $x$ is _______.

Accepted Answer

1

Question 53

When a dc voltage of 100 V is applied to an inductor, a current of 5 A flows through it. When an ac voltage of 200 V peak value is connected to the inductor, its inductive reactance is found to be $20\sqrt{3}\,\Omega$. The power dissipated in the circuit is _______ W.

Accepted Answer

250

Question 54

The refractive index of a prism is $\mu=\sqrt{3}$ and the ratio of the angle of minimum deviation to the angle of the prism is one. The value of the angle of the prism is _______ degrees.

Accepted Answer

60

Question 55

A wire of resistance $R$ and radius $r$ is stretched till its radius becomes $	frac{r}{2}$. If the resistance of the stretched wire becomes $xR$, then the value of $x$ is _______.

Accepted Answer

16

Question 56

Radius of a certain orbit of hydrogen atom is 8.48 Å. If energy of the electron in this orbit is $	frac{E}{x}$, then $x=$ _______. (Given $a_{0}=0.529$ Å, $E=$ energy of electron in the ground state)

Accepted Answer

16

Question 57

A circular coil having 200 turns, $2.5	imes10^{-4}$ m$^{2}$ area and carrying $100\,\mu$A current is placed in a uniform magnetic field of 1 T. Initially the magnetic dipole moment $(\vec{M})$ was directed along $\vec{B}$. The amount of work required to rotate the coil through $90^{\circ}$ from its initial orientation such that $\vec{M}$ becomes perpendicular to $\vec{B}$ is _______ $\mu$J.

Accepted Answer

5

Question 58

A particle is doing simple harmonic motion of amplitude 0.06 m and time period 3.14 s. The maximum velocity of the particle is _______ cm/s.

Accepted Answer

12

Question 59

For three vectors $\vec{A}=(-x\hat{i}-6\hat{j}-2\hat{k})$, $\vec{B}=(-\hat{i}+4\hat{j}+3\hat{k})$ and $\vec{C}=(-8\hat{i}-\hat{j}+3\hat{k})$, if $\vec{A}\cdot(\vec{B}	imes\vec{C})=0$, then the value of $x$ is _______.

Accepted Answer

4

Question 60

The functional group present in sulphonic acid is:

Accepted Answer

(B) $-SO_3H$

Answer

(A) $-SO_4H$

Answer

(C) $-S(=O)-OH$

Answer

(D) $-SO_2-$

Question 61

Match List-I (Molecule / Species) with List-II (Property / Shape). Choose the correct answer from the options given below:

Accepted Answer

(B) A-III, B-I, C-II, D-IV

Answer

(A) A-IV, B-I, C-III, D-II

Answer

(C) A-II, B-III, C-I, D-IV

Answer

(D) A-III, B-IV, C-II, D-I

Question 62

Given below are two statements:
Statement I: Picric acid is 2,4,6-trinitrotoluene.
Statement II: Phenol-2,4-disulphonic acid is treated with conc. $HNO_3$ to get picric acid.
In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

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

Answer

(B) Both Statement I and Statement II are incorrect.

Answer

(C) Statement I is correct but Statement II is incorrect.

Answer

(D) Both Statement I and Statement II are correct.

Question 63

Which of the following (shown in the figure) is a metamer of the given compound (X)?

Accepted Answer

(D) (4)

Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Question 64

A DNA molecule contains 4 bases whose structures are shown in the figure. One of the structures is not correct. Identify the incorrect base structure.

Accepted Answer

(C) (3)

Answer

(A) (1)

Answer

(B) (2)

Answer

(D) (4)

List-I	List-II
A.Torque	I. $[M^{1}L^{1}T^{-2}A^{-2}]$
B.Magnetic field	II. $[L^{2}A^{1}]$
C.Magnetic moment	III. $[M^{1}T^{-2}A^{-1}]$
D.Permeability of free space	IV. $[M^{1}L^{2}T^{-2}]$

List-I (Molecule / Species)	List-II (Property / Shape)
A. $SO_2Cl_2$	I.Paramagnetic
B. $NO$	II.Diamagnetic
C. $NO_2^{-}$	III.Tetrahedral
D. $I_3^{-}$	IV.Linear

List-I (Hybridization)	List-II (Orientation in Space)
A. $sp^3$	I.Trigonal bipyramidal
B. $dsp^2$	II.Octahedral
C. $sp^3d$	III.Tetrahedral
D. $sp^3d^2$	IV.Square planar

List-I (Compound / Species)	List-II (Shape / Geometry)
A. $SF_4$	I.Tetrahedral
B. $BrF_3$	II.Pyramidal
C. $BrO_3^{-}$	III.See saw
D. $NH_4^{+}$	IV.Bent T-shape

List-I (Precipitating reagent and conditions)	List-II (Cation)
A. $NH_4Cl + NH_4OH$	I. $Mn^{2+}$
B. $NH_4OH + Na_2CO_3$	II. $Pb^{2+}$
C. $NH_4OH + NH_4Cl + H_2S$ gas	III. $Al^{3+}$
D.dilute HCl	IV. $Sr^{2+}$

JEE Main 6 April 2024 Shift 1 Question Paper with Answers

Physics — JEE Main 6 April 2024 Shift 1

Chemistry — JEE Main 6 April 2024 Shift 1

Mathematics — JEE Main 6 April 2024 Shift 1

Chapters tested in this paper

Attempt this paper under exam timing.

List-I (Compound)	List-II (Uses)
A.Iodoform	I.Fire extinguisher
B.Carbon tetrachloride	II.Insecticide
C.CFC	III.Antiseptic
D.DDT	IV.Refrigerants