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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Which of the following is right order?

Which one is monoid?

Find the average of first 50 whole numbers.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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