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Day 2 of JEE Main Session 2 2025 was held on April 3. Across both morning and evening shifts, 3 April Mathematics JEE Main Question Paper 2025 with answer key solutions is listed here for memory-based questions.
3 April Mathematics JEE Main Question Paper 2025 with Answer Key Session 2 (Image Credit: iStock)3 April Mathematics JEE Main Question Paper 2025 : This page provides JEE Main Mathematics question paper and detailed answer key solutions for April 3, 2025, crafted by our subject experts. Additionally, we have provided links to PDF solutions and answer keys from prominent coaching institutes like Resonance, Vedantu, BYJU's, and Aakash, offering diverse problem-solving approaches to support your exam preparation and review. Our comprehensive resource includes all 25 Mathematics section questions, gathered from candidates after each shift, along with unofficial solutions to facilitate deeper understanding.
| JEE Main Question Paper 3 April 2025 Live Updates | JEE Main Expected Percentile Score April 2025 |
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3 April Mathematics Question Paper 2025 Shift 2 with Answer Key
Obtain the Mathematics question paper and answer key solutions for the evening shift exam on Day 2 for Session 2 and calculate your scores.
Q.No. | Question | Answers |
|---|---|---|
1 |
| 32 |
| 2 | Let A = {-3, -2, -1, 0, 1, 2, 3}. A relation R is defined such that xRy if y = max{x, 1}. Number of elements required to make it reflexive is I, number of elements required to make it symmetric as m and number of elements in the relation R is n. Then value of l + m + n is equal to | 15 |
| 3 | Let a circle C with radius r passes through four distinct points (0,0), (k, 3k), (2, 3), and (-1, 5), such that k ≠ 0, then (10k + 2r 2 ) is equal to | 3. 27 |
| 4 |
I =
| 3. 2π 2 |
| 5 |  | 3. 5e |
| 6 |
Let y = f(x) be the solution of the differential equation
such that
, then
is equal to
|
2.
 |
| 7 |
Area bounded by
is equal to (in square units)
| 2. 1024/3 |
| 8 | If (1+x+x 2 ) 10 = 1+a 1 x+a 2 x 2 +..., then (a 1 +a 3 +a 5 +...a 19 )-11a 2 equals to | 28919 |
| 9 |  | 1. 1 |
| 10 | If f(x) = ||x+2| - 2|x||, then number of points of local maxima and local minima is | 2. 3 |
| 11 | x(x-2)(12-k) = 2 has both roots same. The distance of (k, k/2) from the line 3x + 4y + 5 = 0 is | 3. 15 |
| 12 | The shortest distance between the parabola y 2 = 8x and the circle x 2 + y 2 + 12y + 35 = 0 |
1.
 |
| 13 |  | 1. 18 |
| 14 | If the coordinates of foci of a hyperbola 3x2-y2-αx+βy+γ = 0 are (4, 2) and (8, 2). Then (α+β+γ) is equal to | 4. 141 |
| 15 | Let the probability distribution is defined for a random variable x as p (x)=k (1-3 -x ) for x = 0, 1, 2, 3. Then P (x ≥ 2) is: | 2. 25/34 |
| 16 |  | 3. 20.4 |
| 17 | Let 9 points lie on the line y = 2x and 12 points on the line y = x/2 in the first quadrant. Find the number of triangles formed using these points and origin. | 1. 1134 |
3 April Mathematics Question Paper 2025 Shift 1 with Answer Key
For the morning shift of the second session exam on Day 2, access the Mathematics question paper along with the answer key solutions below.
Q.No. | Question | Answers |
|---|---|---|
1 | Let A be 3 x 3 matrix such that det(A) = 5. If det(3adj(2Aadj(2A))) = 2 α. 3 β. 5 γ , then (α+β+γ) is equal to | 3. 27 |
| 2 |
The sum of all rational number in
is
| 2. 18817 |
| 3 |  | 2. 81 |
| 4 | Let Sn = 1 + 3 + 11 + 25 + 45 + .... Then sum upto 20th term equals to | 3. 7240 |
| 5 |
Evaluate
 |
1.
 |
| 6 |  | 2. 28 |
| 7 | The radius of circle touching both parabolas y = x 2 + 2 and x = y 2 + 2 is |
4.
 |
| 8 |  | 2. 5 |
| 9 |  |  |
| 10 |  | 1. 5 |
| 11 | If y = max{|x|, x, |x-2|}, then the area under the curve from x = 2 to x = 4 is (in square units) | 1. 15 |
| 12 |  | 2. 204 |
| 13 | Let a 1 , a 2 , a 3 ... be the terms of an increasing G.P. such that a 3 .a 5 = 729 and a 3 + a5 = 111/4, then 24(a 1 + a 2 + a 3 ) is equal to | 2. 129 |
3 April Mathematics JEE Main Question Paper 2025 PDF Download
Download the JEE Main Mathematics question paper and answer key for April 3, 2025, from CollegeDekho, as provided above in PDF format:
Shift | Mathematics Question Paper with Answers Links |
|---|---|
Shift 1 | 3 April Mathematics JEE Main Question Paper 2025 Shift 1 PDF |
Shift 2 | 3 April Mathematics JEE Main Question Paper 2025 Shift 2 PDF |
3 April 2025 JEE Main Question Paper: Physics and Chemistry
Check and download the JEE Main question paper for Physics and Chemistry from April 3, 2025, here.
Parameter | Question Paper and Answer Key Link |
|---|---|
Physics | 3 April JEE Main Physics Question Paper 2025 with Answer Key |
Chemistry | 3 April Chemistry JEE Main Question Paper 2025 with Answer Key |
3 April Mathematics JEE Main Question Paper 2025 PDFs by Coaching Institutions
Students can gain valuable insights and access the Chemistry answer keys and question paper PDF links for both Shift 1 and Shift 2 of the JEE Main exam on April 3, 2025, as soon as they are released by Resonance, Aakash, and Vedantu, in the table below.
Coaching Institute | Shifts | 3 April Physics Question Paper with Answer Key PDFs |
|---|---|---|
Vedantu | Shift 1 | Vedantu 3 April Mathematics Shift 1 JEE Main Question Paper 2025 |
Shift 2 | Vedantu 3 April Mathematics Shift 2 JEE Main Question Paper 2025 | |
Aakash | Shift 1 | Aakash 3 April Mathematics Shift 1 JEE Main Question Paper 2025 |
Shift 2 | Aakash 3 April Mathematics Shift 2 JEE Main Question Paper 2025 | |
Resonance | Shift 1 | Resonance 3 April Mathematics Shift 1 JEE Main Question Paper 2025 |
Shift 2 | Resonance 3 April Mathematics Shift 2 JEE Main Question Paper 2025 |
Marks vs Percentile vs Rank Analysis |
| Marks Range | Expected Percentile and Rank Analysis Link |
|---|---|
| 50 Marks | 50 Marks in JEE Mains Percentile and Rank 2025 |
| 60 Marks | 60 Marks in JEE Mains Percentile and Rank 2025 |
| 70 Marks | 70 Marks in JEE Mains Percentile and Rank 2025 |
| 80 Marks | 80 Marks in JEE Mains Percentile and Rank 2025 |
| 90 Marks | 90 Marks in JEE Mains Rank and Percentile 2025 |
Detailed Percentile vs Marks vs Rank |
| Percentile | Marks vs Rank Link |
|---|---|
| Day-wise marks vs percentile | JEE Main 2025 Session 2 Day-wise Expected Marks vs Percentile |
| 99.9 | 99.9 Percentile in JEE Main 2025 Marks and Rank |
| 99.5 | 99.5 Percentile in JEE Main 2025 Marks and Rank |
| 99 | 99 Percentile in JEE Main 2025 Marks and Rank |
| 98 | 98 Percentile in JEE Main 2025 Marks and Rank |
| 97 | 97 Percentile in JEE Main 2025 Marks and Rank |
| 95 | 95 Percentile in JEE Main 2025 Marks and Rank |
| Also Check | | JEE Main Expected Percentile Rank April 2025 |
Important Links |
| Concept | Link |
|---|---|
| Question Paper (All Shifts) | JEE Main 2025 Session 2 Question Paper with Answer Key |
| 3 April Shift 1 Paper Review | JEE Main 3 April Shift 1 Paper Review 2025 |
| 3 April Shift 2 Paper Review | JEE Main 2025 Shift 2 April 3 Paper Review |
| 3 April Marks vs Percentile | JEE Main 2025 April 3 Expected Marks vs Percentile |
| Expected Cutoff | JEE Main Expected Cutoff Percentile 2025 |
| General Category NIT Cutoff Rank | Minimum Rank required for General Category in JEE Main 2025 for NIT admission |
| General Category Expected Cutoff Percentile | JEE Main General Category Expected Cutoff Percentile Marks 2025 |
Subject-Wise Expected Percentile Score 2025 |
| Subject Name | Link |
|---|---|
| Physics | JEE Main Physics Expected Percentile Score 2025 |
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