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

Which of the following could be the equation of graph?
If m, n are the roots of the equation $x^2 + 5x + 6 = 0$, then value of $m^2 + n^2$ is;

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;

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

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

Which of the following is right order?

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

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

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

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

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

Find the average of first 50 whole numbers.

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

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

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

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

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

The rank of the matrix $ \begin{bmatrix} 1 & -1 & 2 & -3 \\ 2 & 0 & 7 & -7 \\ 3 & 1 & 12 & -11 \\ \end{bmatrix} $ is;

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

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

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

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

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

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

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

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

Which one is monoid?

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

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

The sum of squares of first 18 natural numbers is;

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

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

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

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

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

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

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

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