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JEE Main & JEE Advanced previous year questions with solutions (IIT-JEE PYQs)

Free JEE Main and JEE Advanced previous year questions with solutions — chapter-wise Physics, Chemistry and Mathematics. Includes actual morning and evening shift papers, JEE Maths practice, and links to mock tests and DPP in the Quantrex app.

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JEE Mathematics PYQs · JEE mock tests · JEE DPP · JEE Main 2027 · Practice in app

Physics

16,821 questions · 73 chapters

Mathematics

14,870 questions · 39 chapters

Chemistry

13,361 questions · 33 chapters

Logical Reasoning

1,138 questions · 23 chapters

NSEC

606 questions · 30 chapters

English

562 questions · 12 chapters

IOQM

454 questions · 21 chapters

NSEP

451 questions · 30 chapters

Considering LiBH ₄ reduces an ester group to the corresponding alcohol and does not reduce a carboxylic acid group, the correct statement about the major products P , Q ,

JEE Advanced 2026 Solution View → 2

For the reaction sequence given below, the correct statement(s) is(are)

JEE Advanced 2025 Solution View → 3

An organic compound P having molecular formula C ₆ H ₆ O ₃ gives ferric chloride test and does not have intramolecular hydrogen bond. The compound P reacts with 3 equival

JEE Advanced 2024 Solution View → 4

Reaction of iso-propylbenzene with O ₂ followed by the treatment with H ₃ O ⁺ forms phenol and a by-product P . Reaction of P with 3 equivalents of Cl ₂ gives compound Q

JEE Advanced 2024 Solution View → 5

Complete reaction of acetaldehyde with excess formaldehyde, upon heating with conc. NaOH solution, gives P and Q . Compound P does not give Tollens' test, whereas Q on ac

JEE Advanced 2024 Solution View → 6

List-I contains various reaction sequences and List-II contains the possible products. Match each entry in List-I with the appropriate entry in List-II and choose the cor

JEE Advanced 2024 Solution View → 7

In the following reactions, P , Q , R and S are the major products. The correct statement about P , Q , R and S is

JEE Advanced 2023 Solution View → 8

A trinitro compound, 1 , 3 , 5 -tris-( 4 -nitrophenyl) benzene, on complete reaction with an excess of Sn / HCl gives a major product, which on treatment with an excess o

JEE Advanced 2023 Solution View → 9

A trinitro compound, 1 , 3 , 5 -tris-( 4 -nitrophenyl) benzene, on complete reaction with an excess of Sn / HCl gives a major product, which on treatment with an excess o

JEE Advanced 2023 Solution View → 10

In the given reaction scheme, P is a phenyl alkyl ether, Q is an aromatic compound; R and S are the major products. The correct statement about S is

JEE Advanced 2023 Solution View → 11

The weight percentage of hydrogen in Q , formed in the following reaction sequence, is [Given: Atomic mass of H = 1 , C = 12 ,   N = 14 , O = 16 ,   S = 32 , Cl

JEE Advanced 2022 Solution View → 12

In the reaction given below, the total number of atoms having sp 2 hybridization in the major product P is ___.

JEE Advanced 2021 Solution View → 13

Consider the function f: (0, ) (- , ) given by f(x) = x , _e(x) - x + 1 . Then which one of the following statements is TRUE?

JEE Advanced 2026 Solution View → 14

Let P be the point on the parabola y = x^2 such that the slope of the tangent to the parabola at the point P is 4 . Let Q be the point in the first quadrant lying on the

JEE Advanced 2026 Solution View → 15

Let R denote the set of all real numbers. Define the function f: R R by f( x )= array cc 2-2 x^2-x^2 1 x & if x 0 2 & if x=0 array . Then which one of the following state

JEE Advanced 2025 Solution View → 16

Let R denote the set of all real numbers. For a real number x , let [x] denote the greatest integer less than or equal to x . Let n denote a natural number. Match each en

JEE Advanced 2025 Solution View → 17

Let R denote the set of all real numbers. Let f: R R be defined by f(x)= cases 6 x+ x 2 x+ x & if x 0 7 3 & if x=0 cases Then which of the following statements is (are) T

JEE Advanced 2025 Solution View → 18

Let the function f: R R be defined by f(x)= x e^ x (x²⁰²³+2024 x+2025 ) (x^2-x+3 ) + 2 e^ x (x²⁰²³+2024 x+2025 ) (x^2-x+3 ) . Then the number of solutions of f(x)=0 in R

JEE Advanced 2024 Solution View → 19

Let S be the set of all twice differentiable functions f from ℝ to ℝ such that d 2 f d x 2 x > 0 for all x ∈ - 1 , 1 . For f ∈ S , let X f be

JEE Advanced 2023 Solution View → 20

Let f₁:(0, ) R and f₂:(0, ) R be defined by f₁(x)= ₀^ x _ j=1 ²¹(t-j)^ j d t, x>0 and f₂(x)=98(x-1)⁵⁰-600(x-1)⁴⁹+2450, x>0 where, for any positive integer n and real numb

JEE Advanced 2021 Solution View → 21

Let f₁:(0, ) R and f₂:(0, ) R be defined by f₁(x)= ₀^ x _ j=1 ²¹(t-j)^ j d t, x > 0 and f₂(x)=98(x-1)⁵⁰-600(x-1)⁴⁹+2450, x > 0 where, for any positive integer n and real

JEE Advanced 2021 Solution View → 22

Paragraph: Let ₁:[0, ) R , ₂:[0, ) R , f:[0, ) R and g:[0, ) R be functions such that f(0)=g(0)=0 , ₁(x)=e^ -x +x, x 0 , ₂(x)=x²-2 x-2 e^ -x +2, x 0 , f(x)= _ -x ^ x (|t|

JEE Advanced 2021 Solution View → 23

Paragraph: Let ₁:[0, ) R , ₂:[0, ) R , f:[0, ) R and g:[0, ) R be functions such that f(0)=g(0)=0 , ₁(x)=e^ -x +x, x 0 , ₂(x)=x²-2 x-2 e^ -x +2, x 0 , f(x)= _ -x ^ x (|t|

JEE Advanced 2021 Solution View → 24

Let f : R → R be defined by f x = x 2 - 3 x - 6 x 2 + 2 x + 4 Then which of the following statements is(are) TRUE?

JEE Advanced 2021 Solution View → 25

Consider a circuit consisting of a capacitor of capacitance C and a coil with N turns per unit length, cross sectional area S and length d , where d^2 S . There is anothe

JEE Advanced 2026 Solution View → 26

A circuit with an electrical load having impedance Z is connected with an AC source as shown in the diagram. The source voltage varies in time as V(t)=300 (400 t) V , whe

JEE Advanced 2025 Solution View → 27

The circuit shown in the figure contains an inductor L , a capacitor C₀ , a resistor R₀ and an ideal battery. The circuit also contains two keys K ₁ and K ₂ . Initially,

JEE Advanced 2024 Solution View → 28

In a circuit shown in the figure, the capacitor C is initially uncharged and the key K is open. In this condition, a current of 1 A flows through the 1 Ω resistor. T

JEE Advanced 2023 Solution View → 29

A series LCR circuit is connected to a 45 sin ( ω t ) Volt source. The resonant angular frequency of the circuit is 10 5 rad s − 1 and current amplitude at res

JEE Advanced 2023 Solution View → 30

Consider an LC circuit, with inductance L = 0 . 1 H and capacitance C = 10 - 3 F , kept on a plane. The area of the circuit is 1 m 2 . It is placed in a constant magnetic

JEE Advanced 2022 Solution View → 31

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C F across a 200 ~V , 50 ~Hz supply. The power consumed by the lamp is 500 ~W w

JEE Advanced 2021 Solution View → 32

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C F across a 200 ~V , 50 ~Hz supply. The power consumed by the lamp is 500 ~W w

JEE Advanced 2021 Solution View → 33

In the circuit shown, initially there is no charge on capacitors and keys S 1 and S 2 are open. The values of the capacitors are C 1 = 10 μ F , C 2 = 30 μ F and C 3 = C 4

JEE Advanced 2019 Solution View → 34

The instantaneous voltages at three terminals marked X , Y and Z are given by V X = V 0 sin ⁡ ω t V Y = V 0 sin ⁡ ω t + 2 π 3 and V Z = V 0 sin

JEE Advanced 2017 Solution View → 35

In the circuit shown, L = 1 μ H , C = 1 μ F a n d R = 1 k Ω . They are connected in series with an a.c. source V = V 0 sin ⁡ ω t as shown. Which of the following options

JEE Advanced 2017 Solution View → 36

In the circuit shown below, the key is pressed at time t = 0. Which of the following statement(s) is(are) true?

JEE Advanced 2016 Solution View →

Practice JEE Main & Advanced in the Quantrex app →

JEE Main previous year questions

Practice official JEE Main PYQs chapter-wise — Physics, Chemistry and JEE Mathematics. Each question page shows the paper year, exam date, Morning Shift or Evening Shift when the source has it, Easy/Medium/Hard as stored, and whether it is an Actual paper question.

JEE Advanced & IIT-JEE

JEE Advanced previous year questions with solutions sit on the same list. Use JEE Mathematics PYQs for IIT-JEE Maths practice, then attempt a timed paper in the JEE mock test area of the app.

Mock tests, DPP and 2027 prep

JEE Main 2027 is expected in two sessions (January and April, as NTA usually schedules). Until NTA publishes official dates, use daily DPP, chapter PYQs and full JEE mock tests on Quantrex Academy — same login on website and Google Play.

FAQs

Where are JEE Main shift-wise PYQs? Open a question — the chips show year, date and Morning/Evening Shift when the paper label has them.

Is JEE Maths separate? Yes — /jee/mathematics is the JEE Mathematics hub.

JEE Main & JEE Advanced previous year questions with solutions (IIT-JEE PYQs)

Physics

Mathematics

Chemistry

Logical Reasoning

NSEC

English

IOQM

NSEP

Considering LiBH ₄ reduces an ester group to the corresponding alcohol and does not reduce a carboxylic acid group, the correct statement about the major products P , Q ,

For the reaction sequence given below, the correct statement(s) is(are)

An organic compound P having molecular formula C ₆ H ₆ O ₃ gives ferric chloride test and does not have intramolecular hydrogen bond. The compound P reacts with 3 equival

Reaction of iso-propylbenzene with O ₂ followed by the treatment with H ₃ O ⁺ forms phenol and a by-product P . Reaction of P with 3 equivalents of Cl ₂ gives compound Q

Complete reaction of acetaldehyde with excess formaldehyde, upon heating with conc. NaOH solution, gives P and Q . Compound P does not give Tollens' test, whereas Q on ac

List-I contains various reaction sequences and List-II contains the possible products. Match each entry in List-I with the appropriate entry in List-II and choose the cor

In the following reactions, P , Q , R and S are the major products. The correct statement about P , Q , R and S is

A trinitro compound, 1 , 3 , 5 -tris-( 4 -nitrophenyl) benzene, on complete reaction with an excess of Sn / HCl gives a major product, which on treatment with an excess o

A trinitro compound, 1 , 3 , 5 -tris-( 4 -nitrophenyl) benzene, on complete reaction with an excess of Sn / HCl gives a major product, which on treatment with an excess o

In the given reaction scheme, P is a phenyl alkyl ether, Q is an aromatic compound; R and S are the major products. The correct statement about S is

The weight percentage of hydrogen in Q , formed in the following reaction sequence, is [Given: Atomic mass of H = 1 , C = 12 , &#160; N = 14 , O = 16 , &#160; S = 32 , Cl

In the reaction given below, the total number of atoms having sp 2 hybridization in the major product P is ___.

Consider the function f: (0, ) (- , ) given by f(x) = x , _e(x) - x + 1 . Then which one of the following statements is TRUE?

Let P be the point on the parabola y = x^2 such that the slope of the tangent to the parabola at the point P is 4 . Let Q be the point in the first quadrant lying on the

Let R denote the set of all real numbers. Define the function f: R R by f( x )= array cc 2-2 x^2-x^2 1 x & if x 0 2 & if x=0 array . Then which one of the following state

Let R denote the set of all real numbers. For a real number x , let [x] denote the greatest integer less than or equal to x . Let n denote a natural number. Match each en

Let R denote the set of all real numbers. Let f: R R be defined by f(x)= cases 6 x+ x 2 x+ x & if x 0 7 3 & if x=0 cases Then which of the following statements is (are) T

Let the function f: R R be defined by f(x)= x e^ x (x²⁰²³+2024 x+2025 ) (x^2-x+3 ) + 2 e^ x (x²⁰²³+2024 x+2025 ) (x^2-x+3 ) . Then the number of solutions of f(x)=0 in R

Let S be the set of all twice differentiable functions f from &#8477; to &#8477; such that d 2 f d x 2 x &#62; 0 for all x &#8712; - 1 , 1 . For f &#8712; S , let X f be

Let f₁:(0, ) R and f₂:(0, ) R be defined by f₁(x)= ₀^ x _ j=1 ²¹(t-j)^ j d t, x>0 and f₂(x)=98(x-1)⁵⁰-600(x-1)⁴⁹+2450, x>0 where, for any positive integer n and real numb

Let f₁:(0, ) R and f₂:(0, ) R be defined by f₁(x)= ₀^ x _ j=1 ²¹(t-j)^ j d t, x > 0 and f₂(x)=98(x-1)⁵⁰-600(x-1)⁴⁹+2450, x > 0 where, for any positive integer n and real

Paragraph: Let ₁:[0, ) R , ₂:[0, ) R , f:[0, ) R and g:[0, ) R be functions such that f(0)=g(0)=0 , ₁(x)=e^ -x +x, x 0 , ₂(x)=x²-2 x-2 e^ -x +2, x 0 , f(x)= _ -x ^ x (|t|

Paragraph: Let ₁:[0, ) R , ₂:[0, ) R , f:[0, ) R and g:[0, ) R be functions such that f(0)=g(0)=0 , ₁(x)=e^ -x +x, x 0 , ₂(x)=x²-2 x-2 e^ -x +2, x 0 , f(x)= _ -x ^ x (|t|

Let f : R &#8594; R be defined by f x = x 2 - 3 x - 6 x 2 + 2 x + 4 Then which of the following statements is(are) TRUE?

Consider a circuit consisting of a capacitor of capacitance C and a coil with N turns per unit length, cross sectional area S and length d , where d^2 S . There is anothe

A circuit with an electrical load having impedance Z is connected with an AC source as shown in the diagram. The source voltage varies in time as V(t)=300 (400 t) V , whe

The circuit shown in the figure contains an inductor L , a capacitor C₀ , a resistor R₀ and an ideal battery. The circuit also contains two keys K ₁ and K ₂ . Initially,

In a circuit shown in the figure, the capacitor C is initially uncharged and the key K is open. In this condition, a current of 1 A flows through the 1 &#937; resistor. T

A series LCR circuit is connected to a 45 sin ( &#969; t ) Volt source. The resonant angular frequency of the circuit is 10 5 rad s &#8722; 1 and current amplitude at res

Consider an LC circuit, with inductance L = 0 . 1 H and capacitance C = 10 - 3 F , kept on a plane. The area of the circuit is 1 m 2 . It is placed in a constant magnetic

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C F across a 200 ~V , 50 ~Hz supply. The power consumed by the lamp is 500 ~W w

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C F across a 200 ~V , 50 ~Hz supply. The power consumed by the lamp is 500 ~W w

In the circuit shown, initially there is no charge on capacitors and keys S 1 and S 2 are open. The values of the capacitors are C 1 = 10 μ F , C 2 = 30 μ F and C 3 = C 4

The instantaneous voltages at three terminals marked X , Y and Z are given by V X = V 0 sin &#8289; &#969; t V Y = V 0 sin &#8289; &#969; t + 2 &#960; 3 and V Z = V 0 sin

In the circuit shown, L = 1 μ H , C = 1 μ F a n d R = 1 k Ω . They are connected in series with an a.c. source V = V 0 sin ⁡ ω t as shown. Which of the following options

In the circuit shown below, the key is pressed at time t = 0. Which of the following statement(s) is(are) true?

JEE Main previous year questions

JEE Advanced & IIT-JEE

Mock tests, DPP and 2027 prep

FAQs

The weight percentage of hydrogen in Q , formed in the following reaction sequence, is [Given: Atomic mass of H = 1 , C = 12 , N = 14 , O = 16 , S = 32 , Cl

Let S be the set of all twice differentiable functions f from ℝ to ℝ such that d 2 f d x 2 x > 0 for all x ∈ - 1 , 1 . For f ∈ S , let X f be

Let f : R → R be defined by f x = x 2 - 3 x - 6 x 2 + 2 x + 4 Then which of the following statements is(are) TRUE?

In a circuit shown in the figure, the capacitor C is initially uncharged and the key K is open. In this condition, a current of 1 A flows through the 1 Ω resistor. T

A series LCR circuit is connected to a 45 sin ( ω t ) Volt source. The resonant angular frequency of the circuit is 10 5 rad s − 1 and current amplitude at res

The instantaneous voltages at three terminals marked X , Y and Z are given by V X = V 0 sin ⁡ ω t V Y = V 0 sin ⁡ ω t + 2 π 3 and V Z = V 0 sin