JEE Main 2025 Question Paper with Solutions - Download Shift 1, 2 Free PDFs

JEE Main 2025 Question Paper with Solutions

By checking the JEE Main 2025 Question Paper with Answers students can gauge their performance and see whether they are on track with their preparation. Knowing the correct answers will clear doubts while reinforcing important concepts. It is important to forget only the answers, but also try to know the methods of how these answers come by.

The JEE Main 2025 Question Paper with Answers will be available on this page after it is officially released on the website. These resources can help in the cross-checking of answers and help to understand different approaches to problem-solving.

Watch live analysis 8 April Shift 2

JEE Main 2025 Memory Based Questions

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April 8 Shift 2 (ONLY 1 SHIFT)

A fractional errors in x,y and z are 0.1,0.2 and 0.5 respectively. Find the maximum fractional error in x−2y32z−25.

1) 0.2

2) 0.7

3) 0.6

4) 0.3

The number of rational terms in the binomial expansion of (512+718)1016 is

1) 129

2) 128

3) 127

4) 130

Consider the following statement

Statement I: H2Se is more acidic than H2Fe
Statement II : H2Se has higher bond dissociation Enthalpy
In light of the above statement, choose the correct option

1 Statement-1 is true & Statement-II is false

2 Statement-I is false & Statement-Il is true
3 Both Statement-I & Statement-II are true
4 Both Statement-1 & Statement-II are false

April 7 Shift 2

Q.1 Consider the following oxides

V2O5,Cr2O3,Mn2O7, V2O3,VO2
Number of oxides which are acidic is x.
Consider the following complex compound [Co(NH2CH2CH2NH2)3]2(SO4)3 the primary valency of comple x is y
The value of x+y is

Q 2. Given below are two statements. One is labelled as Assertion (A) and the other is labelled as reason (R).
Assertion (A) : Refractive index of glass is more than air.
Reason (R) : Optical density of a medium is directly related to its mass density.
In the light of the above statements, choose the correct answer from the options given below

1. (A) is false but (R) is true

2. (A) is true but (R) is false

3. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

4. Both (A) and (R) are true and (R) is the correct explanation of (A)

Q 3. If x|x−3|+3|x−2|+1=0, then the number of real solution is

1) 2

2) 4

3) 1

4) 6

April 7 Shift 1

Q.1. A compound having molecular formula MX3 has van't hoff factor of 2. What is the degree of dissociation?
10.25
20.5
30.3
40.75

Q 2. The dimensions of a physical quantity ε0dϕEdt are similar to [Symbols have their usual meanings]

1. Electric Current

2. Electric Field

3. Electric Flux

4. Electric Charge

Q 3. The remainder when 646464 is divided by 7 is equal to

1. 1

2. 2

3. 3

4. 4

April 4 Shift 2

Q.1 Maximum IE and minimum IE of group 13 elements

1B,ln

2B,TI
3Al,In
4Al,Tl

Q.2 Total number of electrons in chromium (Z=24) for which the value of azimuthal quantum number (I) is 1 and 2

Q 1. cot−1⁡(74)+cot−1⁡(194)+cot−1⁡(394)+⋯∞

1)cot−1⁡(2)2)cot−1⁡(12)3)cot−1⁡(13)4)cot−1⁡(3)

Q 2. ∑k=1n(αk+1αk)2=20,α is one of the root of x2+x+1=0 then n= ?

Q 3. Let L1:x−13=y4=z5 and L2:x−p2=y3=z4. If the shortest distance between L1 and L2 is 16. Then possible value of p is

Q 1) A disc is performing pure rolling if speed of top point is 8 m/s. Find speed of point B.

April 4 Shift 1

Memory Based questions

Q.1 In the following, the number of paramagnetic molecules are : O2, N2, F2, B2,Cl2

Q.2 Which of the following is the ratio of 5th Bohr orbit (r5) of He+&Li2+ ?
1) 23
2) 32
3) 94
4) 49

Q 1. Solve ∫−111+2xe−x+exdx.

1) 2(tan−1⁡e−π4)
2) 2(tan−1⁡e−π3)
3) 2(tan−1⁡e−π2)
4) 2(π2−tan−1⁡π)

Q 2. If the equation of an ellipse E is x29+y216=1, then the length of latus rectum of E is

1)3252)923)1634)95

Q 1) A ring and a solid sphere were released from rest from the same height on enough rough inclined surface. Ratio of their speed when they reach at bottom is 7x m/s, then x is

Q 2) Mean free path for an ideal gas is to be observed 20μ m while average speed of molecules of gas is observed to be 600 m/s, then frequency of collision is near by

April 3 Shift 2

Q.1 Find out the magnitude of work done in the process ABCD (in kJ) (1 atm. Lit = 101.3 J)

Q.2 Amount of magnesium (Mg) (in mg ) required to liberate 224 mL of H2 gas at STP, when reacted with HCl

Q.3 Among Sc, Ti, Mn and Co, Calculate the spin only magnetic moment in +2 oxidation state of metal having highest heat of atomisation.

Q.4 Statement-1: Wet cotton cloths made up of cellulose based carbo hydrate Takes comparatively longer time to get dried than wet nylon based clothes
Statement - 2: Intermolecular hydrogen bonding with water molecule is more In nylon based clothes than in cotton clothes.
1. Statement - 1 and Statement - 2 are correct
2. Statement - 1 and Statement - 2 are incorrect
3. Statement - 1 is true and Statement - 2 is false
4. Statement - 1 is false and Statement - 2 is true

Q 5)An equilateral prism is made of a material of refractive index 2. Find the angle of incidence for minimum deviation of the light ray.

Q 6) The moment of inertia of a ring of mass M and radius R about an axis passing through the tangential point in the plane of the ring is

Q 7) What is the dimensional formula of 1μ0ε0 (where μ0 is permeability and ε0 is permittivity of free space)

Q 8) Two water drops each of radius of r coalesce to form a bigger drop. If T is the surface tension, surface energy released in this process is

Q 9) A particle moves on a circular path of radius 1 m. Find its displacement when it moves from A→B→A→B. Also its distance are it moves from A→B→A →B→A.

Q 10) A disc of mass M and radius 2 m is hinged, keeping the axis horizontal. If angular acceleration of the disc is 2rad/s2. Find moment of inertia

JEE Main April 3 Shift 1 Question Paper

Maths Questions

Q 1. Let A be 3 × 3 matrix such that det ( A ) = 5 . If det ( 3 adj ( 2 A adj ( 2 A ) ) ) = 2 α ⋅ 3 β ⋅ 5 γ , then ( α + β + γ ) is equal to

1. 25

2. 26

3. 27

4. 28

Q 2. The sum of all rational numbers in ( 2 + 3 ) 8 is

1. 18117

2. 18817

3. 17280

4. 1800

Q 3. If the sum ∑ r = 1 9 ( r + 3 r ) ⋅ 9 C r = α ⋅ ( 3 2 ) 9 − β , then the value of ( α + β ) 2 is equal to

1. 9

2. 81

3. 27

4. 36

3 april shift 1

Q.1 Which of the following ion shows spin only magnetic moment of 4.9 B.M.
1) Mn 2 +
2) Cr 2 +
3) Fe 3 +
4) Co 2 +

Q.2 Which of following has highest atomic number

1 Po

2 Pt

3 Pr

4 Pb

Q.3 An ideal gas with an adiabatic exponent 1.5 , initially at 27 ∘ C is compressed adiabatically from 800 cc to 200 C . The final temperature of the gas is
(A) 700 K
(B) 500 K
(C) 250 K
(D) 600 K

Q.4 2 moles each of ethylene glycol and glucose are mixed with 500 g of water. Find the boiling point of solution.
Given : K b = 0.52 K kg mol − 1
1 377.16 K
2 368.84 K
3 376.16 K
4 369.84 K

Q.5 0.5 g of an organic compound gives 1.46 g CO 2 and 0.9 g H 2 O . What is the % of carbon in organic sample.

Physics

Q 1) An ideal gas with an adiabatic exponent 1.5 , initially at 27 ∘ C is compressed adiabatically from 800 cc to 200 cc . The final temperature of the gas is

Q 2) In YDSE, light of intensity of 4 I and 9 I passes through two slits respectively. The difference of maximum and minimum intensity of the interference pattern is

JEE Main April 2 All Shift Question Paper

The details of the april 2 shift 1 and 2 questions are given below

The JEE Main 2025 Session 2 paper was relatively moderate compared to both Session 1 and JEE Main 2024. The overall difficulty level followed the order: Chemistry > Physics > Mathematics. A higher proportion of questions were asked from Class 12 compared to Class 11. Chemistry was notably more difficult than both Mathematics and Physics, with the paper being moderate to tough as the questions did not follow predictable patterns. Meanwhile, Physics and Mathematics contained tricky questions, requiring careful analysis. Additionally, the paper included a few assertion and reason-type questions.

Some questions from both shifts are given below:

April 2 Shift 2 Questions

Chemistry

Q.1 Which of the following statement(s) is correct is/are for the adiabatic process?
A. Molar heat capacity is zero.
B. Molar heat capacity is infinite.
C. Work done on gas is equal to increase in internal energy
D. The increase in temperature results in decrease in internal energy

1 A and C only

2 B and C only

3 A and D only

Q.2 Which does not follow general trends among Halogens
(1) I. E
(2) Electro Affinity
(3) Ionic Radius
(4) Covalent Radius

Q.3 Relation between magnetic sucesptibility and magnetic permeability

Q.4 Which Amino acids is optically inactive
(1) Alanine
(2) Glycine
(3) Valine
(4) Aspartic Acid

Physics

Q.1 What is the units of viscosity, intensity of wave, and pressure gradient

Q.2 The figure shows an infinite plane having uniform charge density σ and a small charged particle having charge q and mass m suspended by a light insulating thread. Find σ if the charge is in equilibrium.

1 2 f 0 m g q
2 ε 0 m g 2 q
3 2 q ε 0 m g
4 2 q ε 0 m g

Q.3 Find the ratio of ( γ = C p C v ) for two gases having degree of freedoms f = 3 and f = 5 .

Q.4 The ratio of the magnetic field to the center of the circular coil to the magnetic field at a distance x from the center of a circular coil

( x R = 3 / 4 )

Q.5 Two point charges q and 9 q are placed at a distance of l from each other. Then the electric field is zero at a

1 Distance l 4 from charge 9 q
2 Distance 3 l 4 from charge q 3 Distance l 3 from charge 9 q
4 Distance l 4 from charge q

Q 1. Total number of terms in an A.P are even. Sum of odd terms is 24 and sum of even terms is 30. Last term exceeds the first term by 212. Find the total number of terms.

Q 2. If the domain of the function f(x)=13x+10−x2+1x+|x| is (a,b) then (1+a)2+b2 is equal to

1. 25
2. 16

3. 24

4. 26

Q 3. If θ∈[−7π6,4π3], then number solutions of 3cosec2θ−2(3−1)cosecθ−4=0, is

Q 4. Find the eccentricity of ellipse in which length of minor axis is equal to onefourth of the distance between foci

1. 4 17
2. 2 17
3. 7 17
4. 8 17

Q 1. Total number of terms in an A.P are even. Sum of odd terms is 24 and sum of even terms is 30. Last term exceeds the first term by 212. Find the total number of terms.

Q 2. If the domain of the function f(x)=13x+10−x2+1x+|x| is (a,b) then (1+a)2+b2 is equal to

1. 25
2. 16

3. 24

4. 26

Q 3. If θ∈[−7π6,4π3], then number solutions of 3cosec2θ−2(3−1)cosecθ−4=0, is

April 2 Shift 1 Questions

Q 1. Find the maximum value of n such that 50 ! is divisible by 3 n .

Q 2. Let P n = α n + β n , P 10 = 123 , P 9 = 76 , P 8 = 47 and P 1 = 1 , the quadratic equation whose roots are 1 α and 1 β .

1. x 2 + x − 1 = 0
2. x 2 − 2 x + 1 = 0
3. x 2 + x − 2 = 0
4. x 2 − x − 2 = 0

Q 3. Number of solutions in [ − 2 π , 2 π ] for equation 2 2 cos 2 ⁡ θ + ( 2 − 6 ) cos ⁡ θ − 3 = 0 .

Q 4. The total number of 10 digits sequences formed by only { 0 , 1 , 2 } where 1 should be used at least 5 times and 2 should be used exactly three times, is

Q 5. Let a 1 , a 2 , a 3 , … . is an A.P. and ∑ k = 1 12 a 2 k − 1 = − 72 5 a 1 and ∑ k = 1 n a k = 0 . Then the value of n is

Q.6 Which of the following statement(s) is correct is/are for the adiabatic process?
A. Molar heat capacity is zero.
B. Molar heat capacity is infinite.
C. Work done on gas is equal to increase in internal energy
D. The increase in temperature results in decrease in internal energy

1 A and C only

2 B and C only

3 A and D only

Q.7 What is the units of viscosity, intensity of wave and pressure gradient

Q.8 Which does not follow general trends among Halogens
(1) I. E
(2) Electro Affinity
(3) Ionic Radius
(4) Covalent Radius

Q.9 The figure shows an infinite plane having uniform charge density σ and a small charged particle having charge q and mass m suspended by a light insulating thread. Find σ if the charge is in equilibrium.

1 2 f 0 m g q
2 ε 0 m g 2 q
3 2 q ε 0 m g
4 2 q ε 0 m g

Q.10 Find the ratio of ( γ = C p C v ) for two gases having degree of freedoms f = 3 and f = 5 .

Q.11 Relation between magnetic sucesptibility and magnetic permeability

JEE Main 2025 April session Question Paper PDF Free Download

JEE Main 2025 Question Paper PDF Free Download

For those students who prefer digital utility, they can download the JEE Main 2025 Question Paper PDF once it gets released after the exam from the official website. Downloading the question paper in PDF file format is simple and allows access to the paper to practice offline as well as the option to customize by annotating the paper, noting the key takeaways, and tracking progress over some time.

Memory Based Questions JEE Main 2025 Exam January Session

Q. For [ NiCl 4 ] − 2 What is the charge on metal and shape of complex respectively?
(1) +2 , tetrahedral
(2) +2 , square planar
(3) +4 , tetrahedral
(4) +4, square planar

Q. Solid sphere of mass M , radius R exerts force F on a point mass. Now a concentric spherical mass M 7 is removed. What is new force?
(1) F 7
(2) 6 7 F
(3) 5 F 7
(4) 3 F 7

Q. Form a 5 letter word is to be made using any distinct 5 alphabets such that middle alphabet is M and letter should be in increasing order.

Q. Electrolysis of which compound Give H 2 S 2 O 3
a) Electrolysis of Conc. Na 2 SO 4
b) Electrolysis of Dil. Na 2 SO 4
c) Électrolysis of Conc. H 2 SO 4
d) Electrolysis of Dil. H 2 SO 4

Q. Compare boiling point of given solutions
(i) 10 − 4 . NaCl
(i) 10 − 3 NaCl
(iii) 10 − 2 NaCl
(iv) 10 − 4 urea
(1) I > II > III > N
(2) III > II > I > N
(3) il > I > ili > N
(4) III > II > II > N

Q. Let the triangle PQR be the image of the triangle with vertices ( 1 , 3 ) , ( 3 , 1 ) ( 2 , 4 ) in the line x + 2 y = 2 . if the centroid of △ PQR is the point ( α , β ) then 15 ( α − β ) is equation

Q. Find the Radius of Curvature of the Common surface of two bubble ( R 1 > R 2 )

a) R = R 1 R 2 R 1 + R 2
b) R = 2 R 1 R 2 R 1 − R 2
c) R = R 1 R 2 R 1 − R 2
d) R = R 1 R 2 R 1 − R 2

Q. A Parallel plate capacitor of capacitance 40 μ F is connected to a 100V power supply now the intermediate space between the plates is filled with a drelectric material of dielectric constant k = 2 . due to the introductiuon dielectric the extra charge and the change in electrostatic energy in the capacitor respectively or

(a) 2 mc and 0.4 J
(b) 2 mc and 0.2 J
(c) 4 mc and 0.2 J
(d) 8 mc and 2.J

Q. Given a 1 , a 2 , a 3 … are in GP such that a 1 a 5 = 28 and a 2 + a 4 = 29 find a 6 ?

Q. The correct order of electronegativity

1. F > Cl > Br > I

2. Cl > F > Br > I

3. F > Cl > I > Br

4. Br > F > I > Cl

Q. which of the following lanthanide ion as 7 e − in the outer moss shell
a) Eu + 3
3) G d + 3
c) Eu + 2
d) G d + 2

Memory Based Questions of Jan 22 Shift 2 JEE Main 2025 Exam

22 Jan Shift 2

Q. if 2 x 2 + ( cos ⁡ θ ) x − 1 = 0 θ ∈ [ 0 , 2 π ] has roots α + β . Then the sum of maximum and minimum value of α 4 + β 4 is

4) 25 / 16
b) 9 / 16
c) 41 / 16
d) 8 / 17

Q. Which of the following doesn't show disproportionation reaction

(1) ClO −

(2) ClO 2 −

(3) ClO 3 −

(4) ClO 4 −

Q. Density of 3M NaOH is 1.25 g/mol. Molarity of the solution is _____.

Q. A ball of mass 100 grams throw m at speed 20 m / s with angle 60 percent degree with horizontal. Now tell the decrease in kinetic energy from point of throwing to the ball when it reaches to Max height basically a projectile question

Q. Which of the following has "two secondary hydrogens"

(1) 2,2,3,3-Dimethyl Pentane
(2) 2,2,4,4-Dimethyl Heptane
(3) 4- Ethyl-2,2 Di methyl hexane
(4) None of these

Q. If θ ∈ ( 0 , 2 π ] satisfying the system of equations 2 sin 2 ⁡ θ = cos ⁡ 2 θ and 2 cos 2 ⁡ θ = 3 sin ⁡ θ . Then the sum of all real values of θ is

1 3 π 2 2 π 3 π 2 4 5 π 6

Q. Arrange according to CFSE.
(i) [ Co ( NH 3 ) 4 ] 2 +
(ii) [ Co ( NH 3 ) 6 ] 3 +
(iii) [ Co ( NH 3 ) 6 ] 2 +
(iv) [ Co ( en ) 3 ] 3 +

1) (iv) > (ii) > (iii) ) > ( (i)

2) (iv) > (iii) > (ii) > (i)

3) (i) > (iii) ) > (ii) > (iv)

4) (i) > (ii) > (iii) > (iv)

Q. Find the correct dimensional formula for the capacitance in terms of M, L, T and C where they stand for unit of mass, length, time and charge.

Memory Based Questions of Jan 23 Shift 1 JEE Main 2025 Exam

Q.1 Which of the following element doesn't lie on same period
(a) Osmium
(b) Iridium
(c) Palladium
(d) Platinum

Q.2

Which of the following pair of ions are same coloured?

1 Ti 4 + , V 3 + 2 Cr 2 + , Cu 2 + 3 Cr 3 + , Ni 2 + 4 Mn 3 + , Fe 2 +
Q.3 Which of the following react with Hinsberg reagent?
(A) Aniline
(B) N , N -Dimethyl aniline
(C) Methyl amine
(D) C 6 H 5 NHC 6 H 5
. A only
. A and C only
. A , C and D
. A and B only

Q.4

CH 3 CH 2 CH = 0 → Excess HCHO [ A ]

Major product [ A ] will be:

Q.5

Statement 1: Fructose can give tollens test even though it does not have aldehyde group
Statement 2: When reacted with base fructose can undergo rearrangement to produce aldehyde group
(1) If both Statement 1 and Statement 2 are true and the Statement 2 is the correct explanation of the assertion.
(2) If both Statement 1 and Statement 2 are true but Statement 2 is not the correct explanation of the assertion.
(3) If Statement 1 is true but Statement 2 is false.
(4) If the Statement 1 and Statement 2 both are false.

How to download the JEE Main 2026 Question Paper With Solutions?

Here are the steps to download the JEE Mains 2026 question paper with solutions once it gets released:

• Go to the official website.

• Register using your email ID.

• The JEE question paper pdf download link will be sent to the registered email ID.

• Simply download it and view the file.

How Preparing for JEE Main 2026 Question Paper Assists in Exam Preparation

1. Time Management: Solving the test papers will enable students to get used to the pressure of time that they will encounter on the day of the examination. They will know and manage the time they have taken to solve every section. They will thus try to expedite the process of decision-making.

2. Identifying Strengths and Weaknesses: It is also through solving the JEE Main 2025 Question Paper with Solutions that the student gets to know which are his or her strong subjects and where more practice is needed.

3. Getting Acquainted with Exam Pattern: The exam pattern can change from year to year, and thus solving the previous years' question papers, such as the JEE Main 2025 Question Paper with Answers, helps a student to get accustomed to any change in the pattern.

4. Boosting Confidence: More practice papers will only give students the sense of being familiar and confident about solving various types of questions that may arise in the actual examination.

Exam Pattern of JEE Main 2026

JEE Main 2026JEE Main 2026JEE Main 2026