JEE Main 2025 January 29 Mathematics Question Paper with Answer Key Solutions (Available)

Mahima Gupta

Updated On: January 30, 2025 02:14 PM

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 with Answer Key SolutionsJEE Main 29 January 2025 Mathematics Question Paper with Answer Key Solutions

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.

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:

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:

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:

Subject-wise JEE Mains Marks vs Percentile 2025 |

Upcoming Important Dates of JEE Mains 2025 Session 1

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JEE Main Previous Year Question Paper

2022 Physics Shift 1

2022 Physics Shift 2

2022 Chemistry Shift 1

2022 Chemistry Shift 2

2022 Mathematics Shift 1

2022 Mathematics Shift 2

2023 Chemistry Shift 1

2023 Mathematics Shift 1

2023 Physics Shift 2

2023 Mathematics Shift 2

2023 Chemistry Shift 2

2023 Physics Shift 1

2024 Chemistry Shift 1

2024 Mathematics Shift 2

2024 Physics Paper Morning Shift

2024 Mathematics Morning Shift

2024 Physics Shift 2

2024 Chemistry Shift 2

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