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GUJCET Mathematics Unofficial Answer Key 2025GUJCET Mathematics Unofficial Answer Key 2025: The Gujarat Secondary and Higher Secondary Education Board, Gandhinagar, conducted the GUJCET 2025 exam on March 23, 2025 . Candidates appearing for the exam shall access the GUJCET Mathematics Unofficial Answer Key 2025 here. As per the exam pattern, the mathematics section includes 40 questions for 40 marks. Candidates were being allotted 60 minutes to attempt the question paper. The exam was being held in MCQs through OMR sheet, so, the answer key for all the questions and section-wise is updated here.
GUJCET Mathematics Unofficial Answer Key 2025
In the table below the set-wise GUJCET Mathematics Unofficial Answer Key 2025 is provided for aspirants to check their answers:| Questions | GUJCET 2025 Paper Solution Mathematics |
|---|---|
1. If the matrix
is a symmetric matrix, then the value of x is ______.
| B) -3,-2 |
2. If
, then (A+1)
3
+(A-1)
3
= __________
| D) 8A |
3. For matrix
, if A
2
-21=KA, then K=__________
| B) 7 |
| 4. d/dx (5 logx )= _______ | C) log 5.x log(5/e) |
| 5. If x=a cosθ, y=a sin θ, then d 2 y/dx 2 =__________(a≠0,0≠kπ,k∈z) | d) -1/a cosec 3 θ |
| 6. d/dx [3sin(60°-x°)-4cos3(30°+x°)]=________. | C) π/60 cos(3x°) |
| 7. If f(x)=x 3 +x 2 -16x+20/(x-2) 2 k,x≠2 is continuous at x=2 then k= __ | A) 7 |
| 8. The total cost C(x) in Rupees, associated with the production of x units of an item is given by c(x) = 0.05x 3 -0.2x 2 +3x+500. The marginal cost, where x=3 is ______ (in Rupees). | D) 3.15 |
| 9. The function f(x)= tanx x-4x is strictly decreasing on______. | C)(-π/3,π/3) |
| 10. The absolute minimum value of the function f(x)=x 3 -18x 2 +96x, x∈ [0,9] is _____. | A) 0 |
11. If
, then
| B) p=1/8, q=7/8 |
12.
 | C) x.e tan-1x |
13.
 | A) 1 |
14.
 |
D)
 |
| 15. If ∫ tan -1 xdx=Ax. tan -1 x+ Blog (1+x 2 ) + C then. A + B= ______. | A) 1/2 |
| 16. The area bounded by the curve y=sin x between x= -π/2 and x=π/2 is _____. | A) 2 |
| 17. Area of the region bounded by the curve x 2 =4y and the line y=3 is | D) 4√3 |
| 18. Area of the region bounded by the curve y=x 3 , x-axis and the ordinates x=-1 and x=2 is | D) 17/4 |
19. The degree of the differential equation
is ______
| A) 2 |
| 20. The general solution of the differential equation dy/dx=e y-x is____. | D) e -x -e -y +=c |
21. The Integration Factor of the differential equation
 | B) x 2 |
22.
 | C) -1 |
23. A unit vector perpendicular to each of the vectors (a=b) and (a-b) is ____, where
 |
D)
 |
24.
 | C) 2 |
| 25. The Cartesian equation of the line through the point (5, -2, 4) and which is parallel to the vector 3i-2j+8k is _____ | D) x-5/3=y+2/-2=z-4/8 |
| 26. The shortest distance the lines x-1/2=y-2/3=z+4/6 and x-3/2+y-3/3=z+5/6 is ____. | A) √293/49 |
27.
 |
C)
 |
| 28. The coordinates of the corner points of the bounded feasible region are (0,0), (0, 40), (20, 40), (60, 20), (60,0). The maximum of the objective function z= 40x + 30 y is ____. | B) 3000 |
| 29. The maximum value of z=5x+3y subject to constraints 3x+5y ≤ 15, x ≥ 0, y ≥ 0 is: | A) 25 |
| 30. Two events E and F are independent. If P (E) =3/5 and P(F)=3/10 then P(E/F)+P(F?E) = ______. | A) 11/10 |
| 31. Let A and B be two events such that P(A)=3/8, P(B)=5/8 and P(A ⋃ B)=3/4. Then P ( A '| B )- P ( A | B )= ______. | D) 1/5 |
| 32. A man is known to speak the truth 4 out of 5 times. He throws a die and reports that it is a six. The probability that actually there was a six is | A) 4/9 |
| 33. Let A= {1, 2, 3}. Then number of relations containing (1,2) which are symmetric and transitive but not reflexive is _____. | B) 1 |
| 34. Let f:R → R be defined as f(x)=x 3 . Then f is ____. | B) One-one and onto |
35.
 | C) -π/6 |
36.
 | D) -π ≤ y ≤ π |
37. The number of real solutions of the equation
is ____.
| C) 2 |
38.
 |
A)
 |
| 39. Let A be an invertible square matrix of order 3 x 3. Then | (adjA).A | is _____. | C) | A | 3 |
| 40. Find the area of a triangle given that midpoints of its sides are (2,7)< (1,1) and (10,8). | C) 94 |
GUJCET Mathematics Unofficial Answer Key 2025: Key Details
Here are some of the details regarding the GUJCET Mathematics Unofficial Answer Key 2025 that candidates should note:While checking their responses, it should be noted that this answer key is unofficial in nature, and candidates may not file objections to it. However, it is reliable as it is being prepared by subject experts.
As per the marking scheme, each correct answer awards 1 mark and each incorrect answer deducts 0.25 marks. Also, if two or more of the four options (answers) are selected for a single multiple-choice question, the candidate or student will receive one fewer mark (negative marking).
As the question paper is in multiple-choice questions (MCQ) format, each question will have four options and only one correct answer.
GUJCET Answer Key 2025 Subject-Wise |
Candidates can find out the GUJCET 2025 answer key of the other subjects here in the following table:
| Subject | GUJCET Paper Solution 2025 Link |
|---|---|
| Chemistry | GUJCET Chemistry Unofficial Answer Key 2025 |
| Physics | GUJCET Physics Unofficial Answer Key 2025 |
| Biology | GUJCET Biology Unofficial Answer Key 2025 |
Other Important Links |
| Parameter | Link |
|---|---|
| Marks vs Percentile | GUJCET Expected Marks vs Percentile 2025 with GSEB 12th Weightage |
| Marks vs Rank | GUJCET Expected Marks vs Rank 2025 with GSEB 12th Weightage |
| Percentile vs Rank | GUJCET Expected Percentile vs Rank 2025 with GSEB 12th Weightage |
| Answer Key Date | Official GUJCET Answer Key Expected Release Date 2025 |
| Result Date | GUJCET Result Expected Release Date 2025 |
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