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

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

Find the average of first 50 whole numbers.

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

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

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

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

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

If $\frac{dy}{dx}=\frac{x^2 - 1}{x}$ then $y = ?$

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

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

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

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

Which of the following is greater?

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

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

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

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

Which of the following is right order?

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

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

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

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

If $\vec{u} = 2\vec{i} + 6 , \vec{v} = -9\vec{i}+ 8\vec{j} + 4\vec{k}$ then $\vec{u} \cdot \vec{v} = ?$

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

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

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

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

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

Which of the following could be the equation of graph?
If the width of rectangle is $4$ meters and its total area is $12$ meter square. What is its length?

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

Which one is monoid?

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

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

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

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

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

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

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