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

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

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

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

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

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

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

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

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

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

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

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

Which one is greater?

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

The sum of squares of first 18 natural numbers is;

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

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

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

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

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

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

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

If area of circle is $100\pi$, then radius of circle is;

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

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

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

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

Which of the following could be the equation of graph?
If $f(x)=(x+1)^2$ and $g(x)=x-1$ then value of $fg(4)=?$

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

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

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

Which of the following is greater?

Find the average of first 50 whole numbers.

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

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

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

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

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

Which one is monoid?

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