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

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

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

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

Which one is monoid?

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

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

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

Which of the following could be the equation of graph?
$\int \sin{x}\cos{x} \, dx = ?$

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

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

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

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

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

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

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

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

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

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

Find the average of first 50 whole numbers.

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

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

$a + ar + ar^2 + … + ar^n =? r>1$

The sum of squares of first 18 natural numbers is;

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

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

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

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

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

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

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

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)

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

Which of the following is greater?

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

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

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

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

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