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

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

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

Which of the following is greater?

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

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

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

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

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

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

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

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

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

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

The value of $(1 + i)^4 (1 + \frac{1}{i})^4$ equals to:

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

Which one is monoid?

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

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

Which of the following is not true?

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

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

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

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

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

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

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

Direction of Qibla can be determined by;

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

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

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

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

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

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

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

Which of the following are the parametric questions of the ellipse $\frac{x^2}{a^2} +\frac{y^2}{b^2} = 1, a>b ?$

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

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

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

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