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

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

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

If $(3,7)$ and $(8,9)$ belong to complex numbers then $(3,7)\div (8,9)=?$

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

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

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

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

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

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

Which of the following could be the equation of graph?

The sum of Binomial coefficients in the expansion of $(1-3y)^7$ is;

Which of the following is greater?

Which one is monoid?

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 $k=?$

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

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

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

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

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

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

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

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

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

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

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

Direction of Qibla can be determined by;

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

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

The sum of squares of first 18 natural numbers is;

Which one is greater?

Which of the following is not true?

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

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

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

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

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

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