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

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

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

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

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

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

$\lim_{{x \to \infty}}\frac{3x^2 - 1}{4 - 2x^2} =\,?$

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

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

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

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

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

If $f(x)=(x+1)^2$ and $g(x)=x-1$ then value of $fg(4)=?$

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

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

Distance between lines $3x+4y-4=0$ and $6x+8y+2=0$ 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 the width of rectangle is $4$ meters and its total area is $12$ meter square. What is its length?

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

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

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

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

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

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

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

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

The sum of squares of first 18 natural numbers is;

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

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

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

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

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

Which one is monoid?

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

Which of the following is right order?

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

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

The number of points of intersection of the circle $x^2 + y^2 =7$ and the hyperbola $x^2 - y^2 =1$

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

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

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