JEE Main 2025 January 29 Mathematics Question Paper with Answer Key Solutions (Available)
Download here the memory-based JEE Main 29 January 2025 Mathematics question paper with answer key solutions for Shift 1 and Shift 2. Mathematics question paper PDFs by top coaching institutes will also be available here.
JEE Main 29 January 2025 Mathematics Question Paper: Candidates who took the JEE Main 2025 Mathematics exam on January 29, 2025, can now access the memory-based question paper along with answer key solutions for both Shift 1 and Shift 2. This valuable resource allows students to evaluate their performance, identify areas for improvement, and refine their strategies for future attempts. The memory-based question paper, complete with answer key solutions, is available in PDF format, making it easy for students to access and review. Additionally, well-known coaching institutes will provide their own Mathematics question paper PDFs, offering students a comprehensive analysis of the exam and expert insights into the solutions.
| Toughest Shift of JEE Main January 2025 (Session 1) | Easiest Shift of JEE Main January 2025 (Session 1) |
JEE Main 29 January 2025 Mathematics Shift 1 Question Paper with Answer Key Solutions
Here is JEE Main 29 January 2025 Mathematics question paper with answer key solutions for Shift 1:
| Q.No. | Questions | Answers |
| 1 | The minimum value of n for which the number of integer terms in the binomial expansion of (7 1/3 + 11 1/2 ) is 183, is | 2184 |
| 2 | lim (n→0) ∑ (k = 1 to n) [(k 3 + 6k 2 + 11k +5)/(k + 3)! = ? | 5/3 |
| 3 | Sum of first three terms of an AP with integral common difference is 54 and sum of first twenty terms lies between 1600 to 1800, find a 11 . | 90 |
| 4 | Area enclosed by y ≥ |x - 1|, y + |x| ≤ 3, x 2 ≤ 2y - 3 is A, then 6A is (in sq. units) | 10 |
| 5 | Find I = 80 0 ∫ π/2 [(sinx + cosx) / (9sinx + 16cosx)]dx | (80/337) [(25π/2) + 7 ln(9/16)] |
| 6 | If R be a relation defined on (0, π/2) such that xRy sec 2 x - tan 2 y = 1, then the relation R is | Reflexive and transitive only |
| 7 | Number of 7 digit numbers made with the digits 1, 2, 3 such that sum of the digits is 11 is equal to | 16! |
| 8 | If z 1 lies on | z - 8 + 2i | = 1 and z 2 lies on | z - 2 - 6i | = 2, then | z 1 - z 2 |min is (where i = √-1) | 7 |
| 9 | If cos -1 x = π + sin -1 x + sin -1 (2x - 1), then find the sum of all values of x. | 0 |
| 10 |
Find the minimum value of p such that
lim (x→0) { x ([1/x] + [2/x] + ... + [p/x]) - x 2 ([1/x 2 ] + [2/x 2 ] + ... + [9/x 2 ]) } | 24 |
JEE Main 29 January 2025 Mathematics Shift 2 Question Paper with Answer Key Solutions
Here is JEE Main 29 January 2025 Mathematics question paper with answer key solutions for Shift 2:
| Q.No. | Questions | Answers |
| 1 | If the letters of the word "KANPUR" are arranged in dictionary, then the 440th word is | PRKAUN |
| 2 | If 3 107 is divided by 23, then remainder is | 6 |
| 3 | Let aij = (√2) i+j , A = [a ij ] 3x3 If sum of third row of A 2 is α + β√2, then α + βis | 224 |
| 4 | Let f(x) = 0 ∫ x t(t 2 - 3t + 20) dt, x ∈ (1, 3) and range of f(x) is (α, β), then α + β is equal to | 185/2 |
| 5 | lim (x→0) [ cosecx ((2cos 2 x + 3cosx) 1/2 - (cos 2 x + sinx + 4) 1/2 ] = ? | -1/2√5 |
| 6 | Let the line L be (x - 1)/1 = (y - 4)/3 = (z - 7)/5 = λ and foot of perpendicular from (1, -2, -1) to L is (α, β, γ), then find the value of α + β + γ. | -102/35 |
| 7 | If the exhaustive values of a for which the equation 2x 2 + (a - 5)x + 15 = 3a has no real roots is (α, β), then 14(α + β) | is equal to | 56 |
| 8 | Area enclosed between the curves |y| = 1 - x 2 and x 2 + y 2 = 1 is (π - α) sq. units, then 9α is | 24 |
| 9 | If log y = x log (2/5), x ∈ ℕ ∪ {0}. Then sum of all values of y equals to | 5/3 |
| 10 | There is an arithmetic progression a 1 , a 2 , a 3 , ... a 2024 and a 1 + (a 5 + a 10 + a 15 - a 2020 ) + a 2024 = 2233. Find the value of a 1 + a 2 + a 3 + ... a 2024 . | 11132 |
| 11 | Two points (4, 2) and (0, 2) lie on the circle whose centre lies on 3x + 2y + 2 = 0 then the length of the chord whose mid-point is (1, 2), is | 2√3 |
JEE Main 29 January 2025 Mathematics Question Paper PDF Download
Download here JEE Main 29 Jan 2025 Mathematics question paper and answer key by CollegeDekho as provided above in PDF format:
| Shift | Mathematics Question Paper with Answers Links |
| Shift 1 | JEE Main 2025 Question Paper Mathematics 29 January Shift 1 PDF |
| Shift 2 | JEE Main 2025 Question Paper Mathematics 29 January Shift 2 PDF |
You may also find important |
| Parameter | Link |
| Safe Score | Expected Safe Score in JEE Mains January 2025 |
| Safe Percentile | Expected Safe Percentile in JEE Main 2025 Session 1 |
| Question Paper (All Days) | JEE Main Question Paper January 2025 Shift 1 and 2 |
| JEE Main Percentile to Marks | Expected Marks for JEE Main Percentile January 2025 |
| Cutoff Percentile | JEE Main Expected Cutoff Percentile January 2025 |
| Percentile Score | JEE Main Expected Percentile Score January 2025 |
| Cutoff Marks | Minimum Marks in JEE Mains to Qualify for JEE Advanced 2025 |
JEE Main 29 January 2025 Question Paper: Physics and Chemistry
For other subjects across both shifts, check and download JEE Main 29 January 2025 question paper here:
| Parameter | Question Paper Link |
| Physics | JEE Main 2025 January 29 Shift 1, 2 Physics Question Paper with Answer Key Solutions |
| Chemistry | JEE Main 2025 January 29 Chemistry Shift 1, 2 Question Paper with Answer Key Solutions |
JEE Main 29 January 2025 Mathematics Question Paper PDFs by Coaching Institutions
For both Shift 1 and Shift 2, JEE Main 29 January 2025 Mathematics answer key and question paper PDF links have been provided as released by Resonance, Aakash, and Vedantu in the below table:
| Coaching Institute | Shifts | Mathematics Question Paper with Answer Key PDFs |
| Resonance | Shift 1 | Resonance JEE Main Mathematics Question Paper and Answer Key 2025 January 29 Shift 1 |
| Shift 2 | Resonance JEE Main Mathematics Question Paper and Answer Key 2025 January 29 Shift 2 | |
| Aakash | Shift 1 | Aakash JEE Main Mathematics Question Paper and Answer Key 2025 January 29 Shift 1 |
| Shift 2 | PDF download link to be updated soon | |
| Vedantu | Shift 1 | PDF download link to be updated soon |
| Shift 2 | Vedantu JEE Main Mathematics Question Paper and Answer Key 2025 January 29 Shift 2 |
Subject-wise JEE Mains Marks vs Percentile 2025 |
| Name of the Subject | Link |
| Physics | JEE Main Physics Expected Marks vs Percentile 2025 |
| Chemistry | JEE Main Chemistry Expected Marks vs Percentile 2025 |
| Mathematics | JEE Main Mathematics Expected Marks vs Percentile 2025 |
| Event | Link for Expected/ Official Dates |
| Response Sheet | JEE Main Response Sheet January 2025 Expected Release Date |
| Answer Key | JEE Main Answer Key January 2025 Expected Release Date |
| Result | JEE Main Result Date January 2025 |
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