The value of \(\int_0^3|2 x-6| d x\) is :

A pair of dice is thrown, getting a total of 7 is considered a success. Then the probability of success in a single throw is:

The probability that a student is not a swimmer is \(\frac{1}{5}\). Then, the probability that out of 5 students, 4 are swimmers is

Let [t] denote the greatest integer ≤ t and aZ = {ax : x ∈ Z, a ∈ R} (where Z is set of integer and R is set of real number). The set of points of discontinuity of the function f(x) = [2x] is given by

If \(\vec{a}, \vec{b}\) and \(\sqrt{3} \vec{a}+\vec{b}\) are unit vectors, then the angle between \(\vec{a}\) and \(\vec{b}\) is:

A container contains 48 litres of buffalo milk. From this container 8 litres of buffalo milk was taken out and replaced with cow milk. This process was repeated further 3 more times. How much buffalo milk is there in the container now ?

If the matrix A = \(\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]\), then \(A ^2\) is equal to:

A message signal of frequency \(\omega_m\) is superposed on a carrier wave of frequency \(\omega_c\) to get an amplitude modulated wave (AM). The frequency of the AM wave will be :

The association of Glomus with roots of higher plants is known as ___________ .

Which of the following is not a property of \(\alpha\)-sulphur ?

Answer the question on basis of passage given below :
P block elements are placed in groups 13 to 18 of the periodic table. Their valence shell electronic configuration is \(ns^2 np^{1-6}\). Group 16 of the p block elements are known as the group of chalcogens having \(ns^2 np^4\) as their general electronic configuration. They exhibit number of oxidation states but the stability of \(- 2\) oxidation state decreases down the group. They are sometimes also known as group of chalcogens as the name is derived from the Greek word for brass and points to the association of sulphur and its congeners with copper. Their ionisation enthalpy decreases down the group. Oxygen shows anomalous behaviour due to its small size and high electronegativity.
Identify the epsom salt out of the following salts :

The Galvanic cells will behave like an electrolytic cell when

The colour of the third band of a colour coded carbon resistor of resistance \(2.3 \times 10^2 \Omega\) would be