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

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

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

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;

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

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;

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

Which one is monoid?

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

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

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

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

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)

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

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

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

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

Which of the following is right order?

If $f(x)=(x+1)^2$ and $g(x)=x-1$ then value of $fg(4)=?$

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

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

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

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

Find the average of first 50 whole numbers.

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

Which of the following is greater?

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

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

If $A=\{a,b,c,d\}, B=\{0,1,2,3\}$ then $f=\{(0, a), (1, b), (2, c), (2, d)\}$ is;

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

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

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

Which of the following could be the equation of graph?
Direction of Qibla can be determined by;

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

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

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