1. Limit x tends to 0 log(cos(x))/x

2. Limit x tends to 0 logx/(x-1)

3. If $x^2 + y^2 = a^2$, then what is $\frac{dy}{dx}$?

4. if y = 1/(secx - tanx) the dy/dx

5. $\int x \cos(x) \, dx$

6. If $f'(x) = x^2 + 2$ and $f(0) = 0$, then what is $f(x)$?

7. The normal to a given curve y = f(x) is parallel to x-axis if

8. The minimum value of $x^2+8x+17$ is

9. The area between the curve $y = \text{sech}(x)$ and the x-axis is?

10. The smaller area enclosed by the circle $x^2 + y^2 = 4$ and the line $x + y = 2$ is?

11. The area bounded by the parabola $x^2 = 16y$ and its latus rectum is?

12. The equation $(\cos\theta + i\sin\theta)^n = \cos(n\theta) + i\sin(n\theta)$ holds if...?

13. The Square root of 3+4i are

14. Find the common root of the equations $x^3 - 7x + 6 = 0$ and $x^2 - 3x + 2 = 0$.

15. What is the least integer k which makes the roots of the equation $x^2 + 5x + k = 0$ imaginary?

16. if the mth term of A.P. is n and nth term is m then the rth term is

17. The product of any two terms equidistant from the beginning and the end in a finite Geometric Progression (G.P.) is constant and equal to the product of the first and last terms.

18. If the matrix $A$ satisfies the equation $A^2 - A - I = 0$, then what is the value of $A^{-1}$?

19. If A is a square matrix the $A+A^T$ is a

20. The system of equations x+3y = 7 and 4x-y =19 has

21. If the system of equations $x + 2y - 3z = 1$, $(k + 2)z = 4$, and $(2k + 1)y + z = 2$ is inconsistent, then what is the value of $k$?

22. The number of functions from {3,4,5} into {1,2} are

23. Two sets A={1,1} and B = {3} are

24. Zero is a

25. Inverse functions exists if