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

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

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

Which of the following is not true?

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

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

The sum of squares of first 18 natural numbers is;

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

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

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

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

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

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?

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

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

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

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

Which of the following is right order?

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

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

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

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

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

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

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

$\int [x\ln{x} + x(\ln{x})^2] \, dx = ?$

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

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

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

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

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

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

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

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

$\sum_{k=1}^{100} (-1)^k=$

$a + ar + ar^2 + … + ar^n =? r>1$

Which one is monoid?

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

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

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