4 April Mathematics JEE Main 2025 Question Paper OUT with Answer Key Session 2
Day 3 of JEE Main Session 2 2025 is being held on April 4. Across both morning and evening shifts, 4 April Mathematics JEE Main 2025 Question Paper with answer key solutions is listed here for memory-based questions.
4 April Mathematics JEE Main 2025 Question Paper: The JEE Main Mathematics question paper for April 4, 2025, and comprehensive answer key solutions prepared by our subject matter experts are available to test takers on this website. All 25 of the mathematics section's questions, which we collect from test takers at the end of each shift, are included in this comprehensive resource. To better comprehend the content, candidates can also view the unofficial answers to each question. We will provide links to PDF solutions and answer keys from reputable coaching centers such as Resonance, Vedantu, BYJU's, and Aakash in addition to our answer key. By offering various approaches to answering the questions, these materials are meant to aid in your preparation and review process.
4 April Mathematics JEE Main 2025 Shift 2 Question Paper with Answer Key
Obtain the Mathematics question paper and answer key solutions for the evening shift exam on Day 3 for Session 2 and calculate your scores. You can also check JEE Main April 4 Shift 2 Paper Review 2025 here.
| Q.No. | Question | Answers |
| 1 | cot -1 (1/2) | |
| 2 | 2 | |
| 3 | ||
| 4 |
If a be the non real root of the equation 1 + x + x2 = 0. Find n if
| 11 |
| 5 | 27 + 6ln 2 /10 | |
| 6 | Let A = (-3, -2, -1, 0, 1, 2, 3) and xRy2x-y E (0,1). If I is number of elements in given relation, m and n are minimum number of elements to be added to make it reflexive and symmetric, respectively. Then I + m + n equals to | 17 |
| 7 | If 1 2 - 15 C 1 +2 2 15 C 2 +.....+ 15 2 . 15 C 15 is equal to 2 n x3 m x5 k , then m + n+k is equal to | 19 |
| 8 | In ΔABC if A is (2, -3, 1), B is (3, -1, -5) and C is (1, -4, -4). If G is the centroid of ΔABC, then 6((AG) 2 + (BG) 2 + (CG)2) is equal to | 164 |
| 9 | The sum of three terms in A.P. "A" is 36. and product is p and for A.P. "B" sum is of three terms and p+q/p-q = 19 given D = d +3. Find the value of p-q. (where d and D are common difference of A.P. "A" and "B", resp.) | 540 |
| 10 | The area bounded between the tangent of a parabola y² = x - 2 which passes through (-4, 0) with positive slope, x-axis, and the parabola is (in square units) | 9/2 √6 |
4 April Mathematics JEE Main 2025 Shift 1 Question Paper with Answer Key
For the morning shift of the second session exam on Day 3, access the Mathematics question paper along with the answer key solutions below. You can also check JEE Main Shift 1 Paper Review 2025 April 4 here.
| Q.No. | Question | Answers |
| 1 | 2 (tan-1 e- π/4) | |
| 2 | If the equation of an ellipse E is x 2 /9 + y 2 /16 = 1 then the length of latus rectum of E is | 9/2 |
| 3 | The sum of the series 1+3+5 2 +7+9 2 + ... upto 80 terms is | 338160 |
| 4 | Let there be two A.P's with each having 2025 terms. Find the number of distinct terms in union of these two A.P.'s, second A.P. is 9, 16, 23, ... first A.P. is 1, 6, 11, ... and Second A.P. is 9, 16, 23.... | 3761 |
| 5 | Consider a committee of 12 members is formed randomly out of 4 Engineers, 2 Doctors and 10 Professors. Find the probability that the committee has exactly 3 Engineers and 1 Doctor. | 16 |
| 6 | The number of integral values of n ∈ N for which the equation x² + 4x - n = 0, η ∈ [20,100] have roots, is | 6 |
| 7 | Let 1x-51 ≤ 4√x. If the Area enclosed is A, then 3A equals to | 368 |
| 8 | 4/5 | |
| 9 | Find the length of latus rectum of an ellipse if foci are (2, 5) and (2, -3) and the eccentricity of the ellipse is | 18/5 |
| 10 | -6 | |
| 11 | Let a and ẞ be the number of points where the function, f(x) = max(x, x³, x 5 , ..., x 21 } is not continuou differentiable respectively, then find a + B | 3 |
| 12 |
If
| 1/2 |
| 13 | ||
| 14 | There are 10 pens such that 3 pens are defective. Let X represent the number of defective pen selerted. If two pens are selected at random then variance of X is | 28/75 |
| 15 | 90 | |
| 16 | 14 |
4 April Mathematics JEE Main 2025 Question Paper PDF Download
Download the JEE Main Mathematics question paper and answer key for April 4, 2025, from CollegeDekho, as provided above in PDF format:
| Shift | Mathematics Question Paper with Answers Links |
| Shift 1 | 4 April Mathematics JEE Main 2025 Question Paper Shift 1 (Available) |
| Shift 2 | 4 April Mathematics JEE Main 2025 Question Paper Shift 2 - Yet to be released |
4 April JEE Main 2025 Question Paper: Physics and Chemistry
Check and download the JEE Main question paper for Physics and Chemistry from April 4, 2025, here.
| Parameter | Question Paper and Answer Key Link |
| Physics | 4 April Physics JEE Main 2025 Question Paper with Answer Key Session 2 |
| Chemistry | 4 April Chemistry JEE Main 2025 Question Paper with Answer Key Session 2 |
4 April Mathematics JEE Main 2025 Question Paper PDFs by Coaching Institutions
Both Shift 1 and Shift 2 of the JEE Main on April 4, 2025, have had their Mathematics answer keys and question paper PDF links published, as released by Resonance, Aakash, and Vedantu in the table below.
| Coaching Institute | Shifts | 4 April Mathematics JEE Main 2025 Question Paper with Answer Key PDFs |
| Vedantu | Shift 1 | Vedantu 4 April Mathematics JEE Main 2025 Question Paper Shift 1 |
| Shift 2 | Vedantu 4 April Mathematics JEE Main 2025 Question Paper Shift 2 | |
| Aakash | Shift 1 | Aakash 4 April Mathematics JEE Main 2025 Question Paper Shift 1 |
| Shift 2 | Aakash 4 April Mathematics JEE Main 2025 Question Paper Shift 2 | |
| Resonance | Shift 1 | Resonance 4 April Mathematics JEE Main 2025 Question Paper Shift 1 |
| Shift 2 | Resonance 4 April Mathematics JEE Main 2025 Question Paper Shift 2 |
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