KCET Mathematics 2025 Most Expected Questions
Based on the previous years' papers, KCET Mathematics 2025 most expected questions are a tool that can help students with their quick revision and practice for the exam. KCET 2025 Maths exam is to be held on April 17.
KCET Mathematics 2025 Most Expected Questions: The Karnataka Examination Authority is set to hold the KCET 2025 exams from April 15 to 17, 2025. Aspirants appearing for the exams shall note that the question paper includes Physics, Chemistry, and Mathematics for equal weightage. Mathematics will hold 60 marks for 60 questions. Since the format of the exam is objective, aspirants shall refer to some of the KCET Mathematics 2025 most expected questions here. It shall be noted that for each question, four options will be provided and only one correct answer. Practice these expected questions provided here, as they have been collected from the previous years' question papers by experts, which are most likely to be asked in the upcoming exam.
KCET Mathematics 2025 Most Expected Questions
The list of KCET Mathematics 2025 Most Expected Questions is provided here based on PYQs and 1st and 2nd PUC textbooks:
| Q. No. | Question |
| 1. |
Which one of the following observations is correct for the features of the logarithm function to any base b > 1?
(A) The domain of the logarithm function is R. (B) The range of the logarithm function is R⁺. (C) The point (1, 0) is always on the graph of the logarithm function. (D) The graph of the logarithm function is decreasing as we move from left to right. |
| 2. |
The maximum volume of the right circular cone with slant height 6 units is:
(A) 4√3 π cubic units (B) 16√3 π cubic units (C) 3√3 π cubic units (D) 6√3 π cubic units |
| 3. |
Two finite sets have m and n elements respectively. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are:
(A) 7, 6 (B) 5, 1 (C) 6, 3 (D) 8, 7 |
| 4. |
If y = 2x
3x
, then dy/dx at x = 1 is:
(A) 2 (B) 6 (C) 3 (D) 1 |
| 5. |
The negation of the statement “For every real number x, x^2 + 5 is positive” is:
(A) For every real number x, x^2 + 5 is not positive (B) For every real number x, x^2 + 5 is negative (C) There exists at least one real number x such that x^2 + 5 is not positive (D) There exists at least one real number x such that x^2 + 5 is positive |
| 6. |
∫ (sin(5x/2) / sin(x/2)) dx =
(A) 2x + sin x + 2sin 2x + C (B) x + 2sin x + 2sin 2x + C (C) x + 2sin x + sin 2x + C (D) 2x + sin x + sin 2x + C |
| 7. |
lim as n → ∞ of (n/(n² + 1²) + n/(n² + 2²) + ... + n/(n² + n²)) =
(A) π/4 (B) tan-1 3 (C) tan-1 2 (D) π/2 |
| 8. |
The value of 49C3 + 48C3 + 47C3 + 46C3 + 45C3 + 45C4 is:
(A) 50C4 (B) 50C3 (C) 50C2 (D) 50C1 |
| 9. |
The area of the region bounded by the line y = x and the curve y = x³ is:
(A) 0.2 sq. units (B) 0.3 sq. units (C) 0.4 sq. units (D) 0.5 sq. units |
| 10. |
The family of curves whose x and y intercepts of a tangent at any point are respectively double the x and y coordinates of that point is:
(A) xy = C (B) x² + y² = C (C) x² - y² = C (D) y/x = C |
| 11. |
If A is a square matrix such that A² = A, then (I + A)³ is equal to:
(A) 7A - I (B) 7A (C) 7A + I (D) I - 7A |
| 12. |
The distance between the two planes 2x + 3y + 4z = 4 and 4x + 6y + 8z = 12 is:
(A) 2 units (B) 8 units (C) 2/sqrt(29) units (D) 4 units |
| 13. |
If vectors a, b, c are three non-coplanar vectors and vectors p, q, r are defined by:
p = (a × c) / [a b c], q = (c × b) / [a b c], r = (b × a) / [a b c], then (i + b) · p + (b + c) · q + (c + a) · r is: (A) 0 (B) 1 (C) 2 (D) 3 |
| 14. |
A die is thrown 10 times. The probability that an odd number will come up at least once is:
(A) 11/1024 (B) 1013/1024 (C) 1023/1024 (D) 1/1024 |
| 15. |
Let a, b, c, and d be the observations with mean m and standard deviation S. The standard deviation of the observations a + k, b + k, c + k, d + k is:
(A) kS (B) S + k (C) S/k (D) S |
| 16. |
The sine of the angle between the straight line (x - 2)/3 = (y - 3)/4 = (4-z)/-5 and the plane 2x - 2y + z = 5 is:
(A) 1/5sqrt(2) (B) 2/5sqrt(2) (C) 3/50 (D) 3/sqrt(50) |
| 17. |
If in two circles, arcs of the same length subtend angles 30° and 78° at the center, then the ratio of their radii is:
(A) 5/13 (B) 13/5 (C) 13/4 (D) 4/13 |
| 18. |
If P is the adjoint of a 3x3 matrix A and |A| = 4, then α is equal to:
(A) 4 (B) 5 (C) 11 (D) 0 |
| 19. |
If cos
-1
x + cos
-1
y + cos
-1
z = 3π, then x(y + z) + y(z + x) + z(x + y) equals to:
(A) 0 (B) 1 (C) 6 (D) 12 |
| 20. |
If A.M. and G.M. of roots of a quadratic equation are 5 and 4 respectively, then the quadratic equation is:
(A) x^2 - 10x - 16 = 0 (B) x^2 + 10x + 16 = 0 (C) x^2 + 10x - 16 = 0 (D) x^2 - 10x + 16 = 0 |
KCET 2025 Most Expected Questions Subject-Wise |
| Subject | Link |
| Physics | KCET Physics 2025 Most Expected Questions |
| Chemistry | KCET Chemistry 2025 Most Expected Questions |
| Biology | KCET Biology 2025 Most Expected Questions |
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