Mathematics Quiz - Competitive Exams JEE

Free practice quiz: Mathematics (Competitive Exams JEE). 89 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Competitive Exams JEE practice quiz has 89 multiple-choice questions on Mathematics. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. The roots of the quadratic equation x^2 - 5x + 6 = 0 are:

   1. -2 and -3
   2. 1 and 6
   3. 2 and 3
   4. -1 and -6
   Show answer

   Answer: C. 2 and 3

2. The value of sin^{-1}(sin 2π/3) is:

   1. -π/3
   2. 2π/3
   3. π/6
   4. π/3
   Show answer

   Answer: D. π/3

3. The equation of the tangent to the circle x^2 + y^2 = 25 at the point (3, 4) is:

   1. 3x + 4y = 25
   2. 3x - 4y = 25
   3. 4x + 3y = 25
   4. 4x - 3y = 25
   Show answer

   Answer: A. 3x + 4y = 25

4. ∫ (1/x) dx equals:

   1. -1/x^2 + C
   2. x + C
   3. ln |x| + C
   4. 1/x^2 + C
   Show answer

   Answer: C. ln |x| + C

5. The value of the limit lim_{x→0} (tan x - sin x)/x^3 is:

   1. 1
   2. 0
   3. 1/6
   4. 1/2
   Show answer

   Answer: D. 1/2

More questions in this quiz

Answers and explanations are in the full quiz.

1. The modulus of the complex number z = (1 + i)/(1 - i) is:
2. If A = [[1, 2], [3, 4]], then the determinant of A is:
3. If P(A) = 0.5, P(B) = 0.4, and P(A ∩ B) = 0.2, then P(A|B) is:
4. lim_{x→0} (sin x)/x equals:
5. The derivative of x^x with respect to x is:
6. ∫ 1/(1 + x^2) dx equals:
7. The order and degree of the differential equation (d^2y/dx^2)^3 + (dy/dx)^2 + y = 0 are respectively:
8. If a = i + j and b = i - j, then the angle between a and b is:
9. The sum of the infinite geometric series 1 + 1/2 + 1/4 + 1/8 + ... is:
10. The number of ways to arrange the letters of the word 'EXAM' such that the vowels are always together is:
11. The middle term in the expansion of (x + 1/x)^10 is:
12. The equation of the circle with center (2, -3) and radius 5 is:
13. The focus of the parabola y^2 = 8x is:
14. The eccentricity of the ellipse x^2/25 + y^2/9 = 1 is:
15. The equation of the asymptotes of the hyperbola x^2/a^2 - y^2/b^2 = 1 are:
16. sin^2 30° + cos^2 60° + tan^2 45° equals:
17. The function f(x) = { sin(3x)/x if x ≠ 0; k if x = 0 } is continuous at x = 0 if k equals:
18. Rolle's theorem is applicable to the function f(x) = x^2 - 4x + 3 on the interval [1, 3] because:
19. The area enclosed by the curve y = x^2, the x-axis, and the lines x = 1 and x = 3 is:
20. The maximum value of f(x) = 2x^3 - 15x^2 + 36x - 10 on the interval [1, 4] is:
21. In a linear programming problem, the objective function Z = 3x + 2y is to be maximized subject to constraints x + y ≤ 5, x ≥ 0, y ≥ 0. The maximum value of Z is:
22. For a binomial distribution with n = 10 and p = 0.4, the mean and variance are respectively:
23. If the sum of the roots of a quadratic equation is 7 and the product of the roots is 12, which of the following is the quadratic equation?
24. If i is the imaginary unit, what is the value of i^1 + i^2 + i^3 + i^4?
25. If A is a 3×3 matrix with |A| = 4, what is the value of |2A|?
26. If two events A and B are independent with P(A) = 0.3 and P(B) = 0.5, what is the value of P(A ∪ B)?
27. What is the value of lim_{x→0} (e^x - 1)/x?
28. If y = ln(sin x), what is dy/dx?
29. What is ∫ x e^x dx?
30. What is the integrating factor of the linear differential equation dy/dx + 2y = e^x?
31. If a = 2i + 3j - k and b = i - j + k, what is a · b?
32. If the p-th, q-th and r-th terms of a G.P. are a, b and c respectively, then a^{q-r} b^{r-p} c^{p-q} equals:
33. If the coefficients of x^2 and x^3 in the expansion of (1 + x)^n are equal, what is the value of n?
34. The directrix of the parabola x^2 = -12y is:
35. The eccentricity of the hyperbola x^2/16 - y^2/9 = 1 is:
36. The distance of the point (1, 2, 3) from the xy-plane is:
37. The smallest positive value of x for which sin x = -1/2 is:
38. tan^{-1}(1/2) + tan^{-1}(1/3) equals:
39. If A is a square matrix such that A^2 = A, then (I + A)^2 - 3A equals:
40. If a relation R on the set {1, 2, 3} is defined as R = {(1, 1), (1, 2), (2, 3)}, then R is:
41. The interval in which the function f(x) = x^2 - 4x + 6 is strictly increasing is:
42. For the function f(x) = |x - 2|, at which point does the function fail to be differentiable?
43. The area of the region bounded by the parabola y^2 = 4x and the line x = 1 is:
44. The degree of the differential equation (d^3y/dx^3)^2 + (d^2y/dx^2)^3 + (dy/dx)^4 + y = 0 is:
45. If the mean of a binomial distribution is 6 and its variance is 4, what is the value of n?
46. The value of the determinant |1 2 3; 4 5 6; 7 8 9| is:
47. The conjugate of the complex number (3 + 4i)/(1 - 2i) is:
48. If A is a 3×3 matrix with |A| = 5, then |adj A| is:
49. If two events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.5, then P(A ∪ B) is:
50. If y = x sin x, then dy/dx is:
51. The order of the differential equation d^2y/dx^2 + y = 0 is:
52. If a = 2i + j - k and b = i - j + 2k, then a · b is:
53. The 5th term of the geometric progression 2, 6, 18, ... is:
54. The number of permutations of the letters of the word 'DELHI' is:
55. The vertex of the parabola y^2 = 4ax is:
56. The latus rectum of the ellipse x^2/16 + y^2/9 = 1 is:
57. The value of sin 15° is:
58. The value of cos^{-1}(-1/2) is:
59. The function f(x) = |x| is not differentiable at:
60. The value of the integral ∫₀¹ x dx is:

More quizzes

• Physics▶ Play
• Chemistry▶ Play

Browse all JEE quizzes

More to play