JEE Main 26 July 2022 Shift 1 Question Paper

Question 1

Let f: R → R be a continuous function such that f (3x) – f (x) = x. If f (8) = 7, then f (14) is equal to :

Accepted Answer

(B) 10

Answer

(A) 4

Answer

(C) 11

Answer

(D) 16

Question 2

Let O be the origin and A be the point z$_{1}$ = 1 + 2i. If B is the point z$_{2}$, Re(z$_{2}$) < 0, such that OAB is a right angled isosceles triangle with OB as hypotenuse, then which of the following is NOT true ?

Accepted Answer

(D) $\left|2z_{1} - z_{2}\right| = 5$

Answer

(A) arg z$_{2}$ = π – tan$^{-1}$ 3

Answer

(B) arg (z$_{1}$ – 2z$_{2}$) = – $	an^{-1}\dfrac{4}{3}$

Answer

(C) $\left|z_{2}\right| = \sqrt{10}$

Question 3

If the system of linear equations.
8x + y + 4z = –2
x + y + z = 0
λx – 3y = μ
has infinitely many solutions, then the distance of the point $\left(\lambda,\mu,-\dfrac{1}{2}\right)$ from the plane 8x + y + 4z + 2 = 0 is :

Accepted Answer

(D) $\dfrac{10}{3}$

Answer

(A) $3\sqrt{5}$

Answer

(B) 4

Answer

(C) $\dfrac{26}{9}$

Question 4

Let A be a 2 × 2 matrix with det (A) = –1 and det ((A + I) (Adj (A) + I)) = 4. Then the sum of the diagonal elements of A can be :

Accepted Answer

(B) 2

Answer

(A) –1

Answer

(C) 1

Answer

(D) $-\sqrt{2}$

Question 5

The odd natural number a, such that the area of the region bounded by y= 1, y = 3, x = 0, x = y$^{a}$ is $\dfrac{364}{3}$, equal to :

Accepted Answer

(B) 5

Answer

(A) 3

Answer

(C) 7

Answer

(D) 9

Question 6

Consider two G.Ps. 2, 2$^{2}$, 2$^{3}$, ... and 4, 4$^{2}$, 4$^{3}$,.... of 60 and n terms respectively. If the geometric mean of all the 60 + n terms is $(2)^{\frac{225}{8}}$ , then $\sum\limits_{k=1}^{n} k(n-k)$ is equal to :

Accepted Answer

(C) 1330

Answer

(A) 560

Answer

(B) 1540

Answer

(D) 2600

Question 7

If the function $f(x) = \begin{cases} \dfrac{\log_e(1 - x + x^2) + \log_e(1 + x + x^2)}{\sec x - \cos x}, & x \in \left( \dfrac{-\pi}{2}, \dfrac{\pi}{2} ight) - \{0\} \ k, & x = 0 \end{cases}$ is continuous at x = 0, then k is equal to :

Accepted Answer

(A) 1

Answer

(B) −1

Answer

(C) $e$

Answer

(D) 0

Question 8

If $f(x) = \begin{cases} x + a, & x \le 0 \ |x - 4|, & x > 0 \end{cases}$ and $g(x) = \begin{cases} x + 1, & x < 0 \ (x - 4)^2 + b, & x \ge 0 \end{cases}$ are continuous on R, then (gof) (2) + (fog) (−2) is equal to :

Accepted Answer

(D) −8

Answer

(A) −10

Answer

(B) 10

Answer

(C) 8

Question 9

Let $f(x) = \begin{cases} x^3 - x^2 + 10x - 7, & x \le 1 \ -2x + \log_2(b^2 - 4), & x > 1 \end{cases}$ Then the set of all values of b, for which f(x) has maximum value at x = 1, is :

Accepted Answer

(C) $[-6, -2) \cup (2, 6]$

Answer

(A) $(-6, -2)$

Answer

(B) $(2, 6)$

Answer

(D) $[-\sqrt{6}, -2) \cup (2, \sqrt{6}]$

Question 10

If a = $\lim\limits_{n 	o \infty}\sum\limits_{k=1}^{n}\dfrac{2n}{n^{2}+k^{2}}$ and f(x) = $\sqrt{\dfrac{1-\cos x}{1+\cos x}}$, x ∈ (0,1), then :

Accepted Answer

(C) $\sqrt{2}\,\mathrm{f}\left(\dfrac{a}{2}\right) = \mathrm{f}\,'\left(\dfrac{a}{2}\right)$

Answer

(A) $2\sqrt{2}\,\mathrm{f}\left(\dfrac{a}{2}\right) = \mathrm{f}\,'\left(\dfrac{a}{2}\right)$

Answer

(B) $\mathrm{f}\left(\dfrac{a}{2}\right)\mathrm{f}\,'\left(\dfrac{a}{2}\right) = \sqrt{2}$

Answer

(D) $\mathrm{f}\left(\dfrac{a}{2}\right) = \sqrt{2}\,\mathrm{f}\,'\left(\dfrac{a}{2}\right)$

Question 11

If $\dfrac{dy}{dx}$ + 2y tan x = sin x, 0 < x < $\dfrac{\pi}{2}$ and $y\left(\dfrac{\pi}{3}\right)$ = 0, then the maximum value of y(x) is

Accepted Answer

(A) $\dfrac{1}{8}$

Answer

(B) $\dfrac{3}{4}$

Answer

(C) $\dfrac{1}{4}$

Answer

(D) $\dfrac{3}{8}$

Question 12

A point P moves so that the sum of squares of its distances from the points (1, 2) and (–2, 1) is 14. Let f(x, y) = 0 be the locus of P, which intersects the x-axis at the points A, B and the y-axis at the point C, D . Then the area of the quadrilateral ACBD is equal to

Accepted Answer

(B) $\dfrac{3\sqrt{17}}{2}$

Answer

(A) $\dfrac{9}{2}$

Answer

(C) $\dfrac{3\sqrt{17}}{4}$

Answer

(D) 9

Question 13

Let the tangent drawn to the parabola $y^{2} = 24x$ at the point $(\alpha, \beta)$ is perpendicular to the line 2x +2y = 5. Then the normal to the hyperbola $\dfrac{x^{2}}{\alpha^{2}} - \dfrac{y^{2}}{\beta^{2}} = 1$ at the point $(\alpha+4,\beta+4)$ does NOT pass through the point :

Accepted Answer

(D) (15, 13)

Answer

(A) (25, 10)

Answer

(B) (20, 12)

Answer

(C) (30, 8)

Question 14

The length of the perpendicular from the point (1, –2, 5) on the line passing through (1, 2, 4) and parallel to the line x + y – z = 0 = x – 2y + 3z – 5 is :

Accepted Answer

(A) $\sqrt{\dfrac{21}{2}}$

Answer

(B) $\sqrt{\dfrac{9}{2}}$

Answer

(C) $\sqrt{\dfrac{73}{2}}$

Answer

(D) 1

Question 15

Let $\vec{a} = \alpha\hat{i} + \hat{j} - \hat{k}$ and $\vec{b} = 2\hat{i} + \hat{j} - \alpha\hat{k}, \alpha > 0$. If the projection of $\vec{a} 	imes \vec{b}$ on the vector $-\hat{i} + 2\hat{j} - 2\hat{k}$ is 30, then α is equal to

Accepted Answer

(D) 7

Answer

(A) $\dfrac{15}{2}$

Answer

(B) 8

Answer

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

Question 16

The mean and variance of a binomial distribution are α and $\frac{\alpha}{3}$ respectively. If $P\left(X = 1\right) = \frac{4}{243}$, then P(X = 4 or 5) is equal to :

Accepted Answer

(C) $\frac{16}{27}$

Answer

(A) $\frac{5}{9}$

Answer

(B) $\frac{64}{81}$

Answer

(D) $\frac{145}{243}$

Question 17

Let E$_{1}$, E$_{2}$, E$_{3}$ be three mutually exclusive events such that $P(E_{1}) = \frac{2+3p}{6}$, $P(E_{2}) = \frac{2-p}{8}$ and $P(E_{3}) = \frac{1-p}{2}$. If the maximum and minimum values of p are p$_{1}$ and p$_{2}$, then (p$_{1}$ + p$_{2}$) is equal to :

Accepted Answer

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

Answer

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

Answer

(C) $\frac{5}{4}$

Answer

(D) 1

Question 18

Let $S = \{	heta \in [0, 2\pi] : 8^{2\sin^{2}	heta} + 8^{2\cos^{2}	heta} = 16\}$. Then $n(S) + \sum_{	heta \in S}\left( \sec\left(\frac{\pi}{4} + 2	hetaight)\operatorname{cosec}\left(\frac{\pi}{4} + 2	hetaight) ight)$ is equal to :

Accepted Answer

(C) −4

Answer

(A) 0

Answer

(B) −2

Answer

(D) 12

Question 19

$	an\left( 2	an^{-1}\frac{1}{5} + \sec^{-1}\frac{\sqrt{5}}{2} + 2	an^{-1}\frac{1}{8} ight)$ is equal to:

Accepted Answer

(B) 2

Answer

(A) 1

Answer

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

Answer

(D) $\frac{5}{4}$

Question 20

The statement (~(p ⇔ ~q)) ∧ q is :

Accepted Answer

(D) equivalent to (p ⇒ q) ∧ p

Answer

(A) a tautology

Answer

(B) a contradiction

Answer

(C) equivalent to (p ⇒ q) ∧ q

Question 21

If for some p, q, r ∈ R, not all have same sign, one of the roots of the equation (p$^{2}$ + q$^{2}$)x$^{2}$ − 2q(p + r)x + q$^{2}$ + r$^{2}$ = 0 is also a root of the equation x$^{2}$ + 2x − 8 = 0, then $\frac{q^{2}+r^{2}}{p^{2}}$ is equal to-

Accepted Answer

272

Question 22

The number of 5-digit natural numbers, such that the product of their digits is 36, is

Accepted Answer

180

Question 23

The series of positive multiples of 3 is divided into sets : {3}, {6, 9,12}, {15, 18, 21, 24, 27},... Then the sum of the elements in the 11$^{th}$ set is equal to__________,

Accepted Answer

6993

Question 24

The number of distinct real roots of the equation x$^{5}$(x$^{3}$ − x$^{2}$ − x +1) +x (3x$^{3}$ − 4x$^{2}$ − 2x + 4) − 1 = 0 is

Accepted Answer

3

Question 25

If the coefficients of x and x$^{2}$ in the expansion of (1 + x)$^{p}$(1 − x)$^{q}$, p, q ≤ 15, are −3 and−5 respectively, then the coefficient of x$^{3}$ is equal to______________.

Accepted Answer

23

Question 26

If $n\left(2n+1\right)\int_{0}^{1}\left(1-x^{n}\right)^{2n}\,dx = 1177\int_{0}^{1}\left(1-x^{n}\right)^{2n+1}dx$, then n ∈ N is equal to _______

Accepted Answer

24

Question 27

Let a curve $y = y\left(x\right)$ pass through the point (3, 3) and the area of the region under this curve, above the x-axis and between the abscissae 3 and x(>3) be $\left(\frac{y}{x}\right)^{3}$. If this curve also passes through the point $\left(\alpha, 6\sqrt{10}\right)$ in the first quadrant, then α is equal to _______

Accepted Answer

6

Question 28

The equations of the sides AB, BC and CA of a triangle ABC are 2x + y = 0, x + py = 15a and x − y = 3 respectively. If its orthocentre is (2, a), $-\frac{1}{2}$ < a < 2, then p is equal to

Accepted Answer

3

Question 29

Let the function f(x) = 2x$^{2}$ − log$_{e}$x, x > 0, be decreasing in (0, a) and increasing in (a, 4). A tangent to the parabola y$^{2}$ = 4ax at a point P on it passes through the point (8a, 8a − 1) but does not pass through the point $\left(-\frac{1}{a}, 0\right)$. If the equation of the normal at P is $\frac{x}{\alpha} + \frac{y}{\beta} = 1$, then α + β is equal to-

Accepted Answer

45

Question 30

Let Q and R be two points on the line $\frac{x+1}{2} = \frac{y+2}{3} = \frac{z-1}{2}$ at a distance $\sqrt{26}$ from the point P(4, 2, 7). Then the square of the area of the triangle PQR is______________.

Accepted Answer

153

Question 31

Three masses M = 100 kg, m$_{1}$ = 10 kg and m$_{2}$=20 kg are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. A force F is applied on the system so that the mass m$_{2}$ moves upward with an acceleration of 2 ms$^{-2}$. The value of F is :
(Take g = 10 ms$^{-2}$)

Accepted Answer

(C) 3120 N

Answer

(A) 3360 N

Answer

(B) 3380 N

Answer

(D) 3240 N

Question 32

A radio can tune to any station in 6 MHz to 10 MHz band. The value of corresponding wavelength bandwidth will be :

Accepted Answer

(B) 20 m

Answer

(A) 4 m

Answer

(C) 30 m

Answer

(D) 50 m

Question 33

The disintegration rate of a certain radioactive sample at any instant is 4250 disintegrations per minute. 10 minutes later, the rate becomes 2250 disintegrations per minute. The approximate decay constant is :
(Take log$_{10}$1.88 = 0.274)

Accepted Answer

(C) 0.063 min$^{-1}$

Answer

(A) 0.02 min$^{-1}$

Answer

(B) 2.7 min$^{-1}$

Answer

(D) 6.3 min$^{-1}$

Question 34

A parallel beam of light of wavelength 900 nm and intensity 100 Wm$^{-2}$ is incident on a surface perpendicular to the beam. Tire number of photons crossing 1 cm$^{2}$ area perpendicular to the beam in one second is :

Accepted Answer

(B) 4.5 × 10$^{16}$

Answer

(A) 3 × 10$^{16}$

Answer

(C) 4.5 × 10$^{17}$

Answer

(D) 4.5 × 10$^{20}$

Question 35

In young's double slit experiment, the fringe width is 12mm. If the entire arrangement is placed in water of refractive index $\frac{4}{3}$, then the fringe width becomes (in mm)

Accepted Answer

(B) 9

Answer

(A) 16

Answer

(C) 48

Answer

(D) 12

Question 36

The magnetic field of a plane electromagnetic wave is given by
$\vec{B} = 2 	imes 10^{-8} \sin\left(0.5 	imes 10^{3}x + 1.5 	imes 10^{11}tight)\hat{j}\,T$
The amplitude of the electric field would be

Accepted Answer

(C) 6Vm$^{-1}$ along z-axis

Answer

(A) 6Vm$^{-1}$ along x-axis

Answer

(B) 3Vm$^{-1}$ along z-axis

Answer

(D) $2 	imes 10^{-8}$ Vm$^{-1}$ along z-axis

Question 37

In a series LR circuit X$_{L}$ = R and power factor of the circuit is P$_{1}$. When capacitor with capacitance C such that X$_{L}$ = X$_{C}$ is put in series, the power factor becomes P$_{2}$. The ratio $\frac{P_{1}}{P_{2}}$ is

Accepted Answer

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

Answer

(A) $\frac{1}{2}$

Answer

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

Answer

(D) 2 : 1

Question 38

A charge particle is moving in a uniform magnetic field $\left(2\hat{i} + 3\hat{j}\right)T$ . If it has an acceleration of $\left(\alpha\hat{i} - 4\hat{j}\right)m/s^{2}$, then the value of α will be

Accepted Answer

(B) 6

Answer

(A) 3

Answer

(C) 12

Answer

(D) 2

Question 39

B$_{X}$ and B$_{Y}$ are the magnetic field at the centre of two coils of two coils X and Y respectively, each carrying equal current. If coil X has 200 turns and 20 cm radius and coil Y has 400 turns and 20 cm radius, the ratio of B$_{X}$ and B$_{Y}$ is

Accepted Answer

(B) 1 : 2

Answer

(A) 1 : 1

Answer

(C) 2 : 1

Answer

(D) 4 : 1

Question 40

The current I in the given circuit will be :

Accepted Answer

(A) 10A

Answer

(B) 20 A

Answer

(C) 4A

Answer

(D) 40A

Question 41

The total charge on the system of capacitance C$_{1}$ = 1μF, C$_{2}$ = 2μF, C$_{3}$ = 4μF and C$_{4}$ = 3μF connected in parallel is
(Assume a battery of 20V is connected to the combination)

Accepted Answer

(A) 200μC

Answer

(B) 200C

Answer

(C) 10μC

Answer

(D) 10C

Question 42

When a particle executes simple Harmonic motion, the nature of graph of velocity as function of displacement will be :

Accepted Answer

(B) Ellipitical

Answer

(A) Circular

Answer

(C) Sinusoidal

Answer

(D) Straight line

Question 43

7 mole of certain monoatomic ideal gas undergoes a temperature increase of 40K at constant pressure. The increase in the internal energy of the gas in this process is
(Given R = 8.3 JK$^{-1}$mol$^{-1}$)

Accepted Answer

(B) 3486 J

Answer

(A) 5810 J

Answer

(C) 11620J

Answer

(D) 6972 J

Question 44

A monoatomic gas at pressure P and volume V is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be:

Accepted Answer

(C) 32P

Answer

(A) P

Answer

(B) 8P

Answer

(D) 64 P

Question 45

A water drop of radius 1cm is broken into 729 equal droplets. If surface tension of water is 75 dyne/cm, then the gain in surface energy upto first decimal place will be :
[Given π = 3.14]

Accepted Answer

(C) 7.5 × 10$^{-4}$ J

Answer

(A) 8.5 × 10$^{-4}$ J

Answer

(B) 8.2 × 10$^{-4}$ J

Answer

(D) 5.3 × 10$^{-4}$ J

Question 46

The percentage decrease in the weight of a rocket, when taken to a height of 32 km above the surface of earth will, be :
(Radius of earth = 6400km)

Accepted Answer

(A) 1 %

Answer

(B) 3%

Answer

(C) 4%

Answer

(D) 0.5%

Question 47

As per the given figure, two blocks each of mass 250g are connected to a spring of spring constant 2Nm$^{-1}$. If both are given velocity v in opposite directions, then maximum elongation of the spring is :

Accepted Answer

(B) $\frac{v}{2}$

Answer

(A) $\frac{v}{2\sqrt{2}}$

Answer

(C) $\frac{v}{4}$

Answer

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

Question 48

A monkey of mass 50kg climbs on a rope which can withstand the tension (T) of 350N. If monkey initially climbs down with an acceleration of 4m/s$^{2}$ and then climbs up with an acceleration of 5m/s$^{2}$. Choose the correct option (g = 10m/s$^{2}$)

Accepted Answer

(C) Rope will break while climbing upward

Answer

(A) T = 700N while climbing upward

Answer

(B) T = 350 N while going downward

Answer

(D) Rope will break while going downward

Question 49

Two projectile thrown at 30$^{0}$ and 45$^{0}$ with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is

Accepted Answer

(C) $\sqrt{2}$ : 1

Answer

(A) 1 : $\sqrt{2}$

Answer

(B) 2 : 1

Answer

(D) 1 : 2

Question 50

A screw gauge of pitch 0.5mm is used to measure the diameter of uniform wire of length 6.8cm, the main scale reading is 1.5 mm and circular scale reading is 7. The calculated curved surface area of wire to appropriate significant figures is :
[Screw gauge has 50 divisions on the circular scale]

Accepted Answer

(B) 3.4cm$^{2}$

Answer

(A) 6.8cm$^{2}$

Answer

(C) 3.9cm$^{2}$

Answer

(D) 2.4cm$^{2}$

Question 51

If the initial velocity in horizontal direction of a projectile is unit vector $\hat{i}$ and the equation of trajectory is y = 5x(1 − x). The y component vector of the initial velocity is ______ $\hat{j}$
(Take g = 10m/s$^{2}$)

Accepted Answer

5

Question 52

A disc of mass 1 kg and radius R is free of rotate about a horizontal axis passing through its centre and perpendicular to the plane of disc. A body of same mass as that of disc is fixed at the highest point of the disc. Now the system is released, when the body comes to the lowest position, its angular speed will be $4\sqrt{\frac{x}{3R}}$ rad s$^{-1}$ where x = ______
(g = 10ms$^{-2}$)

Accepted Answer

5

Question 53

In an experiment of determine the Young's modulus of wire of a length exactly 1m, the extension in the length of the wire is measured as 0.4mm with an uncertainty of ±0.02 mm when a load of 1kg is applied. The diameter of the wire is measured as 0.4mm with an uncertainty of ±0.01 mm. The error in the measurement of Young's modulus (ΔY) is found to be x × 10$^{10}$ Nm$^{-2}$. The value of x is ______
[Take g = 10m/s$^{2}$]

Accepted Answer

2

Question 54

When a car is approaching the observer, the frequency of horn is 100Hz. After passing the observer, it is 50Hz. If the observer moves with the car, the frequency will be $\frac{x}{3}$ Hz where x = ____

Accepted Answer

200

Question 55

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness (t$_{1}$ and t$_{2}$) as shown in figure. The two different dielectric material are separated by a conducting foil F. The voltage of the conducting foil is _____V.

Accepted Answer

60

Question 56

Resistance are connected in a meter bridge circuit as shown in the figure. The balancing length l$_{1}$ is 40cm. Now an unknown resistance x is connected in series with P and new balancing length is found to be 80cm measured from the same end. Then the value of x will be ______ Ω

Accepted Answer

20

Question 57

The effective current I in the given circuit at very high frequencies will be _____A

Accepted Answer

44

Question 58

The graph between $\frac{1}{u}$ and $\frac{1}{v}$ for a thin convex lens in order to determine its focal length is plotted as shown in the figure. The refractive index of length is 1.5 and its both the surfaces have same radius of curvatures R. The value of R will be _____cm.
(Where u = object distance , v = image distance)

Accepted Answer

10

Question 59

In a hydrogen spectrum ,λ be the wavelength of first transition line of Lyman series. The wavelength difference will be "aλ" between the wavelength of 3$^{rd}$ transition line of Paschen series and that of 2$^{nd}$ transition line of Balmer Series where a = ________

Accepted Answer

5

Question 60

In the circuit shown below, maximum zener diode current will be _____mA

Accepted Answer

9

Question 61

Match List - I with List - II.
Choose the correct answer from the options given below :

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 62

Match List - I with List - II.
Choose the correct answer from the options given below :

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 63

Given two statements below :
Statement I : In Cl$_2$ molecule the covalent radius is double of the atomic radius of chlorine.
Statement II : Radius of anionic species is always greater than their parent atomic radius.
Choose the most appropriate answer from options given below :

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 64

Refining using liquation method is the most suitable for metals with :

Accepted Answer

(A) Low melting point

Answer

(B) High boiling point

Answer

(C) High electrical conductivity

Answer

(D) Less tendency to be soluble in melts than impurities

List - I (Compound)	List - II (Shape)
A.BrF $_5$	I.bent
B.[CrF $_6$ ] $^{3-}$	II.square pyramidal
C.O $_3$	III.trigonal bipyramidal
D.PCl $_5$	IV.octahedral

List - I (Processes/Reactions)	List - II (Catalyst)
A.2SO $_2$ (g) + O $_2$ (g) → 2SO $_3$ (g)	I.Fe(s)
B.4NH $_3$ (g) + 5O $_2$ (g) → 4NO(g) + 6H $_2$ O(g)	II.Pt(s)-Rh(s)
C.N $_2$ (g) + 3H $_2$ (g) → 2NH $_3$ (g)	III.V $_2$ O $_5$
D.Vegetable oil(l) + H $_2$ → Vegetable ghee(s)	IV.Ni(s)

JEE Main 26 July 2022 Shift 1 Question Paper with Answers

Physics — JEE Main 26 July 2022 Shift 1

Chemistry — JEE Main 26 July 2022 Shift 1

Mathematics — JEE Main 26 July 2022 Shift 1

Chapters tested in this paper

Attempt this paper under exam timing.