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.

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

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