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

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

Distance between lines $3x+4y-4=0$ and $6x+8y+2=0$ is;

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

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

If $x=a\cos{\theta} + ib\sin{\theta}$ and $y=a\cos{\theta} + ib\sin{\theta}$ then $\left| xy \right|=?$

Term independent of $x$ in the expansion of $(2x+\frac{1}{x})^3$ is;

Which of the following could be the equation of graph?
Direction of Qibla can be determined by;

Which one is greater?

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

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

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

$\int [x\ln{x} + x(\ln{x})^2] \, dx = ?$

Which one is monoid?

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;

$\int \sin{x}\cos{x} \, dx = ?$

If $x=2at^2 , y=at^3$ then $\frac{dy}{dx}=?$

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

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

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

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

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

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

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

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

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

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

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

Number of real roots $x^2 + 4x + 6 = 0$ are;

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

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

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

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

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

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

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

The middle term in the expansion of $(1+\frac{x}{2})^{20}$ is;

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