7 April JEE Main Mathematics Question Paper 2025 OUT with Answer Key Session 2
Day 4 of JEE Main Session 2 exam 2025 was conducted on April 7. Across both morning and evening shifts, 7 April JEE Main Mathematics Question Paper 2025 with Answer Key Session 2 solutions is listed here for memory-based questions.
7 April JEE Main Mathematics Question Paper 2025: Candidates who have appeared for the JEE Main 7 April 2025 Session 2 exam, can check the question paper PDF for mathematics subject along with the answer key solutions below. This 7 April JEE Main Mathematics Question Paper 2025 & Answer Key is intended to assist candidates in evaluating their performance and estimating their scores prior to the official release by the exam authority. It is crucial to note that the unofficial answer key may contain minor differences when compared to the official release. Subject matter experts have created these solutions based on their analysis of the question paper, and candidates can use them to assess their answers and determine their estimated scores.
JEE Main 7 April Mathematics Question Paper 2025 Shift 2 with Answer Key
Below, we have provided 7 April JEE Main Mathematics Shift 2 Question Paper 2025 with answer key solutions:
Q. No. | Question | Answers |
1 | If x |x - 3| + 3 |x - 2| + 1 = 0, then the number of real solution is | 1 |
2 | 0 | |
3 | 3 + 2√2 | |
4 | Let f(x) = x-5/x 2 -3x+2', if range of f(x) is (−∞, α) U (β, ∞). There α 2 + β 2 equals to | 194 |
5 | If a box contains 19 unbiased coins and 1 biased coin with both faces head. If a coin is randomly chosen out of this box and tossed. If the head appears, then the probability that the unbiased coin was selected | 19/21 |
6 | If f(θ) = tan(tan θ) - tan(sin θ)/tan θ-sin θ is continuous at θ = 0, then the value of f(θ) at θ = 0 is equal to | 1 |
7 | Let y = y(x) and (1 + x 2 )y' – 2xy = (x 4 + 2x 2 + 1) cosx. If y(0) = 1, then ∫ 3 -3 y(x)dx equals to | 24 |
8 | The sum of series 2 C 1 • (1 × 2) + 3 C 2 • (2 x 3) + 4 C 3 • (3 × 4) + ... + 19 C 18 • (18 x 19) is S, then S/295 is equal to | 114 |
7 April JEE Main Mathematics Question Paper 2025 Shift 1 with Answer Key
Below, we have provided JEE Main 7 April Shift 1 Mathematics Question Paper 2025 with answer key solutions:
Q. No. | Questions | Answers |
1 | The remainder when 64 64 64 is divided by 7 is equal to | 1 |
2 | Let A be a set defined as A = {2. 3, 6, 9}. Find the number of singular matrices of order 2 * 2 such that elements are from the set A. | 36 |
3 | Area bounded by the curves y = 4 - x 2 /4 and y = x - 4/2 (in square units) is | 125/3 |
4 | If X 1 , X 2 , X 3 , X 4 are in GP, then we subtract 2, 4, 7, 8 from X 1 , X 2 , X 3 , X 4 respectively, then the resultant numbers are in AP, then the value of 1/24 (X 1 . X 2 . X 3 . X 4 ) is | 2 3 /3 9 |
5 | If f(x) = (x 2 /2) - [√x] ∀ x ∈ [0, 4], where [.] denotes the greatest integer function, then number of points of discontinuity of f(x) is | 8 |
6 | π(π + 6)/3√3 | |
7 | If α and ẞ are negative real roots of the quadratic equation x 2 – (p + 2)x + (2p + 9) = 0 and pe ε (α, β). Then the value of ẞ 2 – 2α is | 13 |
8 | Let the straight line AB: x + y − 2 = 0, AC: 3y – x = 2 intersects x-axis at B and C respectively. If P is the orthocentre of the triangle ABC, then area of the triangle CPB is | 6 sq. units |
9 |
Statement 1:
If (z+i/z-i) is purely real, then there are exactly 2 complex numbers z.
| Statement 2 is true. |
10 |
The value of the limit
| 5 3 /3 7 |
| 11 |
Line L passes through (1, 1, 1) and line L intersects L
1
& L
2
when
L 1 : x-1/2 = y+1/3 = z/4 and L 2 : x-1/1 = y-3/4 = z/1 then L passes through | (9, 15, 18) |
Also Read | Category-Wise Minimum Marks Required in JEE Main 2025 for JEE Advanced
7 April JEE Main Mathematics Question Paper 2025 PDF Download
Download here the JEE Main 7 April 2025 Mathematics Question Paper and Answer Key by CollegeDekho as provided above in PDF format:
Shift | Mathematics Question Paper and Answers Key Links |
Shift 1 | 7 April JEE Main Mathematics Question Paper 2025 Shift 1 PDF |
Shift 2 | 7 April JEE Main Mathematics Question Paper 2025 Shift 2 PDF |
7 April JEE Main Question Paper 2025: Physics and Chemistry
Check and download the JEE Main 7 April 2025 Question Paper here for the other two subjects, i.e., Physics and Chemistry.
Parameter | Question Paper and Answer Key Link |
Physics | 7 April JEE Main Physics Question Paper 2025 with Answer Key |
Chemistry | 7 April JEE Main Chemistry Question Paper 2025 with Answer Key |
7 April JEE Main Mathematics Question Paper 2025 PDFs by Coaching Institutions
For both shifts of the JEE Main held on April 7, 2025, have had their JEE Main 7 April Mathematics Answer Keys and question paper PDF links shared, as released by Resonance, Aakash, and Vedantu in the table below.
Coaching Institute | Shifts | 7 April Mathematics Question Paper 2025 with Answer Key PDFs |
Vedantu | Shift 1 | Vedantu 7 April JEE Main Mathematics Shift 1 2025 Question Paper |
Shift 2 | Vedantu 7 April JEE Main Mathematics Shift 2 2025 Question Paper | |
Aakash | Shift 1 | Aakash 7 April JEE Main Mathematics Shift 1 2025 Question Paper |
Shift 2 | Aakash 7 April JEE Main Mathematics Shift 2 2025 Question Paper | |
Resonance | Shift 1 | Resonance 7 April JEE Main Mathematics Shift 1 2025 Question Paper |
Shift 2 | Resonance 7 April JEE Main Mathematics Shift 2 2025 Question Paper |
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