Engineering Mathematics Quiz - Competitive Exams GATE

Free practice quiz: Engineering Mathematics (Competitive Exams GATE). 70 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. If A is a 2x2 matrix with eigenvalues 2 and 3, what is the determinant of A?

   1. 1
   2. 6
   3. 5
   4. 0
   Show answer

   Answer: B. 6

2. The Laplace transform of t^2 is:

   1. 2/s^3
   2. 1/s^3
   3. 2/s^2
   4. 2/s
   Show answer

   Answer: A. 2/s^3

3. The value of ∫_C dz/z where C is the circle |z| = 2 traversed once counterclockwise is:

   1. 0
   2. 4πi
   3. 2πi
   4. πi
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   Answer: C. 2πi

4. The Newton-Raphson method converges quadratically when:

   1. The root is simple and initial guess is sufficiently close
   2. The initial guess is far from the root
   3. The function is discontinuous
   4. The derivative is zero at the root
   Show answer

   Answer: A. The root is simple and initial guess is sufficiently close

5. The value of ∫_0^{π/2} sin^3 x dx is:

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

   Answer: D. 2/3

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