List of top Questions asked in KEAM- 2018

Sum of last $30$ coefficients in the binomial expansion of $(1 + x)^{59}$ is

The sum of odd integers from $1$ to $2001$ is

Let $f : \bullet \to \bullet $ satisfy $f (x) f ( y) = f (xy) $ for all real numbers $x$ and $y$. If $f (2)= 4$, then $f \left( \frac{1}{2} \right) = $

The focus of the parabola $y^2 - 4y - x+3=0$ is

Find current, i.

Eccentricity of the ellipse $4x^2 + y^2 -8x + 4y -8= 0$ is

The focus of the parabola $( y + 1)^2 = -8(x +2)$ is

Which of the following compounds are aromatic?

Let $f (x) = px^2 + qx + r$ , where $p, q, r$ are constants and $p \neq 0$ . If $f (5) = -3 f (2)$ and $f (-4) = 0$ , then the other root of $f$ is

Which of the following is the equation of a hyperbola?

Three players A, B and C play a game. The probability that A, B and C will finish the game are respectively $\frac{1}{2} , \frac{1}{3}$ and $\frac{1}{4}$ . The probability that the game is finished is

The electrical conductivity of a metal is

Which statement(s) is (are) false for the periodic classification of elements?

the emission rate of blackbody at $0^{\circ}C$ is R then, the rate of emission at $273^{\circ}C$ is

$\lim_{x \to \infty} \frac{3x^3 + 2x^2 - 7x + 9 }{4x^3 + 9x - 2 }$ is equal to

Two planets A and B have the same average density. Their radii $R_A$ and $R_B$ are such that $R_A : R_B = 3 : 1$. If $g_A $ and $g_B$ are the acceleration due to gravity at the surfaces of the planets, the $g_A : g_{B}$ equals