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

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

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

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)

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

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

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

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

If $A$ is a square matrix of order $5$, and $\left|A\right|=3$ then $\left|2A\right|=?$

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

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

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

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

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

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

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

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

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

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

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

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

Which of the following is right order?

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

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

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

If $x=2at^2 , y=at^3$ then $\frac{dy}{dx}=?$

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

Which one is monoid?

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

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

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

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

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

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

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

The sum of squares of first 18 natural numbers is;

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

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

Which of the following could be the equation of graph?
The value of $\vec{i}\cdot[(\vec{k}\times\vec{j})\cdot(\vec{i}\times\vec{k})]$ is;

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