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

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

Which of the following is greater?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

If $x-1$ is a factor of $x^3-x^2-ax+1$ then value of $a=?$

Which one is monoid?

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)

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

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

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

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

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

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

Which of the following could be the equation of graph?
$\sin({\cos^{-1}{\frac{5}{4}}})=?$

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

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

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

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