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GUJCET 2025 Mathematics Most Expected QuestionsGUJCET 2025 Mathematics Most Expected Questions: We analyzed past GUJCET Mathematics exam papers and created a list of the most likely questions for the upcoming exam scheduled for March 23, 2025. This list will help students prepare effectively by highlighting key topics and question patterns that frequently appear. By focusing on these questions, students can strengthen their understanding of important concepts and enhance their problem-solving skills. This guide not only aids in study but also boosts students' confidence, knowing they are prepared for the types of questions they will face. This approach can be crucial for achieving a good score in the upcoming exam.
GUJCET 2025 Mathematics Most Expected Questions
Aspirants can check the GUJCET Mathematics 2025 Most Expected Questions in the table below.
Serial Number | Questions |
|---|---|
1. | The order of a differential equation whose general solution is y =Asinx + Bcosx is _____(A, B are arbitrary constants.) (a) 4 (b) 2 (c) 0 (d) 3 |
2. | If the vertices of the finite feasible solution region are (0, 6), (3, 3), (9, 9), (0, 12), then the maximum value of the objective function z = 6x + 12y is |
3. | If a pair of dice is thrown, the probability of getting an even prime number on each die is |
4. | If A is a square matrix such that A 2 = A, then (I – A) 3 – (I + A) 2 = _________. |
5. | The height and radius of a cylinder are equal. An error of 2 % is made in measuring height. The approximate percentage error in volume is_____ (a) 6 % (b) 4 % (c) 3 % (d) 2 % |
6. | The relation R = {(a, a), (b, b), (c, c), (a, c)} defined on the set {a, b, c} is |
7. |
If two functions f: A → B and g: B → A are such that gof = I
A
, then _____.
(a) f is many - one function and g is onto on A. (b) f is many - one function and g is onto on B. (c) f is one - one function and g is onto on B. (d) f is one - one function and g is onto on A. |
8. | If a line makes an angle of π/4 with the positive directions of each of X-axis and Y-axis, then the angle that the line makes with the positive direction of the Z-axis is |
9. | The system of equations ax + y + z = a – 1, x + ay + z = a – 1 and x + y + az + a – 1 does not have unique solution if a = _____. |
10. | The optimal value of the objective function is attained at the points (a) given by intersection of lines representing inequations with axes only (b) given by intersection of lines representing inequations with X-axis only (c) given by corner points of the feasible region (d) at the origin |
11. | The area enclosed by y=x 2 , the X-axis, and the line x=4 is divided into two congruent halves by the line x=a. The value of a is _____ . |
12. | If vertices of tetrahedran V - ABC is V (4,5,1), A (0,-1,-1), B (1,2,3,), C (4,4,4) then what will be its volume? |
13. | The coordinates of the corner points of the bounded feasible region are (3, 3), (20, 3), (20, 10), (18, 12), and (12, 12). The minimum value of an objective function z = 2x + 3y occurs at corner point _____ . |
14. | Two unbiased coins are tossed. If one coin shows head, the probability that the other also shows head is _____ . |
15. | Direction of the line perpendicular to the plane 3x - 4y + 7z = 2 and passing through (-1, 2, 4) is _____. (a) (3, 4, 7) (b) (4, -6, 3) (c) (-3, 4, -7) (d) (-1, 2, 4) |
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