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

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

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

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

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

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

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

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

Which of the following could be the equation of graph?
If area of circle is $100\pi$, then radius of circle is;

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

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

The sum of squares of first 18 natural numbers is;

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

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

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

Which of the following is not true?

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

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

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

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

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

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

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

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

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

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

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

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)

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

Direction of Qibla can be determined by;

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

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

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

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;

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

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

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

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