List of top Questions asked in KCET, WBJEE

$ 4.6\times {{10}^{22}} $ atoms of an element weigh $13.8\,g$. The atomic weight of that element is

$ABC$ is a triangle $G$ is the centroid $ D$ is the mid- point of $BC$. If $A - (2, 3) $ and $G = (7, 5)$, then the point $D$ is

If $A =\begin{bmatrix} {1}&{-1} &{1}\\ {2}&{1}& {-3} \\ {1}&{1}&{1}\\ \end{bmatrix} ,10B \begin{bmatrix} {4}&{2} &{2}\\ {-5}&{0}& {\alpha} \\ {1}&{-2}&{3}\\ \end{bmatrix} $ and $B$ is the inverse of $A$, then the value of $\alpha$ is

If the circles $x^2 + y^2 - 2x - 2y - 7 = 0$ and $x^2 + y^2 + 4x + 2y + k = 0$ cut orthogenally, then the length of the common chord of the circles is

The number of common tangents to the circles $x^2+y^2=4 $ and $ x^2+y^2-6x-8y-24=0 $ is

The conjugate of the complex number $ \frac {(1+i)^2}{1-i}$ is

The area enclosed by the pair of lines $xy = 0$ , the line $x - 4 = 0$ and $y + 5 = 0$ is

A metal present in vitamin $B_12$ is

The electronic configuration of $Cr^{3+}$ is

$+I$ effect is shown by

Which of the following has the smallest number of molecules?

Number of lone pair (s) in $ XeO{{F}_{4}} $ is/are

Which one of the following compounds has $ s{{p}^{2}} $- hybridisation?

The decomposition of hydrogen peroxide can be slowed by the addition of acetamide. The latter acts as a

The starting material used in Solvas process are

The ninth term of the expansion $\left(3x-\frac {1}{2x}\right)^8$ is

The number of gram molecules of chlorine in $6.02 \times 10^{25}$ hydrogen chloride molecules is -

Edaphology is

Benzene reacts with chlorine in sunlight to give a final product

A vector perpendicular to the plane containing the points $A (1, -1, 2), B (2, 0, -1), C (0,2,1)$ is

The lateral roots originate from

The largest RBC's have been seen in

The net gain of ATP during glycolysis is

Match the following: Column - I Column II (a) Leishmiania-donavani (p) Malaria (b) Wuchereria-bancrofti (q) Amoebiasis (c) Trypanosoma-gambiense (r) Kala azar (d) Entamoeba-histolytica (s) Sleeping sickness (t) Filariasis

The tumor inducing capacity of Agrobacterium - tumaefaciens is located in large extra chromosomal plasmids called