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

$\log_{10}(0.01)=?$

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

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

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

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

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

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

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

Which of the following is greater?

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

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

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

Which of the following is not true?

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

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

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

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

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

$a + ar + ar^2 + … + ar^n =? r>1$

Which of the following is right order?

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

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

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

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

$150^\circ$ equal to how many radians ?

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

The line $y = mx + c ,$ tangent to parabola $y^2 =x $ if;

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

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

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

If $A(2,1)$ and $B(4,3)$ are end points of diameter of circles, then radius of circle is

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

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

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

Direction of Qibla can be determined by;

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

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

Find the average of first 50 whole numbers.

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