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

If $A=\{1, 2, 3, 5, 7\}, U=\{1, 2, 3, …, 11, 12\} \,and\, B= \{4, 5, 7, 9, 3\} \,then\, P(A \cup B)=?$

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

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

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

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

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

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

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

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

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

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

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

Direction of Qibla can be determined by;

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

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

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

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

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

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

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

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

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)

$\tan^{-1}(x) + \tan^{-1}(\frac{1}{x}) =?$

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

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

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

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

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

Which one is monoid?

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

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

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

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

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

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

Distance between lines $3x+4y-4=0$ and $6x+8y+2=0$ is;

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

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

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

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

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