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

Which one is monoid?

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

$\int [x\ln{x} + x(\ln{x})^2] \, dx = ?$

The sum of squares of first 18 natural numbers is;

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

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

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

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

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

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

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

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

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

The sides of a triangle are $7, 4\sqrt{3}, \sqrt{13}$ . Then smallest angle would be;

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

Which one is greater?

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

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

Which of the following is not true?

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

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

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

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

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

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

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

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

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

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

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

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

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)

Find the average of first 50 whole numbers.

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

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

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

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

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

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

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