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

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

Find the average of first 50 whole numbers.

Which one is in range of $f(x)=\frac{2}{3} \sin{x} ?$

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

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

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

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

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

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

When $y=p$ where $p$ is the distance from origin, then slope of $y$ is;

The eccentricity of the hyperbola $x^2 - y^2 =1$ is;

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

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

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

Direction of Qibla can be determined by;

Which of the following is greater?

$\log_{10}(0.01)=?$

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

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

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

The line $y = mx + c ,$ tangent to parabola $y^2 =x $ if;

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

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

Which one is monoid?

Which one is greater?

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

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

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

Which of the following is right order?

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

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

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

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

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

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

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

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

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

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