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

If $\cos{2x} = 0.1$ then value of $\sin{x}$ is;

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

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

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

If $A$ is a square matrix of order $5$, and $\left|A\right|=3$ then $\left|2A\right|=?$

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

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

The center and radius of circle $x^2 + y^2 -6x + 10y -15 = 0$;

For $1 < n < 5$ , which is true?

If the vertices of a triangle are $A(0, 0)$ , $B(4, 3)$ , $C(3, 0)$ then centroid is;

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

The eccentricity of the hyperbola $x^2 - y^2 =1$ is;

$\tan^{-1}(x) + \tan^{-1}(\frac{1}{x}) =?$

If one root of the equation $3x^2 + 13x + k = 0$ is reciprocal of the other then $k=?$

$a + ar + ar^2 + … + ar^n =? r>1$

If $A=\begin{bmatrix} 0 & 1 & b \\ -1 & 0 & -a \\ 5 & 6 & 0 \\ \end{bmatrix} $ is a skew symmetric matrix, then values of $a$ & $b$ respectively are

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

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

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

Term independent of $x$ in the expansion of $(2x+\frac{1}{x})^4$ is;

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

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

When $y=p$ where $p$ is the distance from origin, then slope of $y$ is;

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

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

$\sin({\cos^{-1}{\frac{5}{4}}})=?$

The sum of squares of first 18 natural numbers is;

The value of $\vec{i}\cdot[(\vec{k}\times\vec{j})\cdot(\vec{i}\times\vec{k})]$ is;

If $\vec{u} = 2\vec{i} + 6 , \vec{v} = -9\vec{i}+ 8\vec{j} + 4\vec{k}$ then $\vec{u} \cdot \vec{v} = ?$

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

The graph of $x=-16y^2$ opens towards;

Which one is greater?

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

If $n$ is divisble by $5$ the remainder is 3. If $3n$ is divisible by $5$ then the remainder is;

Which of the following is equation whose eccentricity is $1$?

$x^2 -5xy + 4y^2$ is made from which of the following pairs?

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

If $A=\{a,b,c,d\}, B=\{0,1,2,3\}$ then $f=\{(0, a), (1, b), (2, c), (2, d)\}$ is;

The number of points of intersection of the circle $x^2 + y^2 =7$ and the hyperbola $x^2 - y^2 =1$

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