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

Which of the following is right order?

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)

$\int_{0}^{8} \left|x-5\right| \, dx=$

Direction of Qibla can be determined by;

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

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

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

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

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;

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

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

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

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 is greater?

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

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

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

The graph of $x=-16y^2$ opens towards;

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

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

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

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

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

$a + ar + ar^2 + … + ar^n =? r>1$

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

If $n$ is divisble by $5$ the remainder is 3. If $3n$ is divisible by $5$ then the remainder is;

Find the average of first 50 whole numbers.

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

Which of the following could be the equation of graph?
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 line $y = mx + c ,$ tangent to parabola $y^2 =x $ if;

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

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

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

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

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

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