Welcome to your Entry Test Preparation (ECAT) Math Mock Test 2

If m, n are the roots of the equation $x^2 + 5x + 6 = 0$, then value of $m^2 + n^2$ is;

$\sum_{k=1}^{100} (-1)^k=$

$\cos{22 \frac{1}{2}^o} = ?$

Maximum value of $f(x)=2\sin{x} + 1$ is;

$\sum_{k=1}^{98} (\omega^k) =\,?$

The contra positive of $\neg B \to \neg A$ is;

$\lim_{{x \to \infty}}\frac{3x^2 - 1}{4 - 2x^2} =\,?$

If $\sin{x} + \cos{x} = 0$ then $x=?$

$\int x^3 e^{5x} \, dx = ?$

The equation $ax^2+by^2+2hxy+2gx+2fy+c=0$ may be a parabola if;

Direction of Qibla can be determined by;

The fourth term in the expansion of $(1+x)^{-\frac{1}{2}}$ is;

If area of circle is $100\pi$, then radius of circle is;

Find the average of first 50 whole numbers.

If $x-1$ is a factor of $x^3-x^2-ax+1$ then value of $a=?$

Which one is in range of $f(x)=\frac{2}{3} \sin{x} ?$

If $\frac{dy}{dx}=\frac{x^2 - 1}{x}$ then $y = ?$

20 years ago my age was $\frac{1}{3}$ of what it is now, what is my present age?

If $(3,7)$ and $(8,9)$ belong to complex numbers then $(3,7)\div (8,9)=?$

If $A=\{1, 2, 3, 5, 7\}, U=\{1, 2, 3, …, 11, 12\} \,and\, B= \{4, 5, 7, 9, 3\} \,then\, P(A \cup B)=?$

The sum of squares of first 18 natural numbers is;

Value of A and B in equation $\frac{x}{(x+3)(x+2)} = \frac{A}{(x+3)} + \frac{B}{(x+2)}$ respectively;

Which of the following is right order?

Bisma's Salary was reduced by $25\%$. Percentage increase to be effected to bring the salary to original level is;

$\frac{1}{2} \sin({-\pi-2\theta})=?$

The rank of the matrix $ \begin{bmatrix} 1 & -1 & 2 & -3 \\ 2 & 0 & 7 & -7 \\ 3 & 1 & 12 & -11 \\ \end{bmatrix} $ is;

If the width of rectangle is $4$ meters and its total area is $12$ meter square. What is its length?

If $2, x, 6$ are in G. P, then value of $x$ is

$\lim_{n \to \infty} \frac{n^3 + 4n}{4 - 3n^2} =?$

$\int_{0}^{8} \left|x-5\right| \, dx=$

The sum of 3 A.Ms between 5 and 11;

Co-efficient of $x^n$ in the expansion of $(x^2 - \frac{1}{x})^n$ is;

The equation $\frac{x^2}{16} + \frac{y^2}{81}=1$ is symmetric about;

Which of the following is greater?

H. M between $\frac{1}{2} and \frac{1}{3} $ is;

From a deck of 52 playing cards, two cards are drawn at random. What is the probability of getting both aces? (where first card is replaced before drawing other)

The sum of Binomial coefficients in the expansion of $(1-3y)^7$ is;

The minimum value of $y = 2x - x^2$ is

The sides of a triangle are $7, 4\sqrt{3}, \sqrt{13}$ . Then smallest angle would be;

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