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

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

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

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

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

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

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

The sum of squares of first 18 natural numbers is;

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

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 fourth term in the expansion of $(1+x)^{-\frac{1}{2}}$ is;

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

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

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

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

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

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

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

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

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

If $(3,7)$ and $(8,9)$ belong to complex numbers then $(3,7)\div (8,9)=?$

Which one is monoid?

From a deck of 52 playing cards, two cards are drawn at random. What is the probability of getting both aces? (where first card is replaced before drawing other)

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

Find the average of first 50 whole numbers.

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

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

The minimum value of $y = 2x - x^2$ is

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

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

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

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

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

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

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

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

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

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

Which of the following could be the equation of graph?
Which of the following is greater?

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

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