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

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

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

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

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 $x=?$

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

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

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

Direction of Qibla can be determined by;

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 $1$?

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

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

Which of the following is not true?

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 could be the equation of graph?
$\int [x\ln{x} + x(\ln{x})^2] \, dx = ?$

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

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

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

Which one is monoid?

The sum of squares of first 18 natural numbers is;

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

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

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

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

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

$a + ar + ar^2 + … + ar^n =? r>1$

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

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;

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

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

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

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

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