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

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

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

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

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

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

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

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

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

Which one is greater?

Which of the following is right order?

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

$\sum_{k=1}^{98} (\omega^k) =\,?$

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

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

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

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

The sum of squares of first 18 natural numbers is;

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

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

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

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

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

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

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

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

$a + ar + ar^2 + … + ar^n =? r>1$

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

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

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 $(3,7)\div (8,9)=?$

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

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

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

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

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

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

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

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

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