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

Which of the following is not true?

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

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

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

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

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

Direction of Qibla can be determined by;

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

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

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

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

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

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

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

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

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;

$\int \sin{x}\cos{x} \, dx = ?$

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;

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

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

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

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

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

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

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

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

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

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

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

$a + ar + ar^2 + … + ar^n =? r>1$

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

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

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

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

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

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)

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