If A is a singular matrix, then A(adj A) is equal to

Which of the following determinant has the correct value?

Lower half of a convex lens is opaque. The image of an object placed in front will :

A machine costing ₹1,00,000 has a useful life of 5 years. The estimated scrap value is ₹20,000.
Using straight line method, the annual depreciation is:

If a sample has \(n\) observations \(x_1, x_2, \ldots, x_n\) with \(m\) constraints on these values, then the degree of freedom of the sample statistic is:

A and B are two students. Their chances of solving a problem correctly are \(\frac{1}{3}\) and \(\frac{1}{4}\) respectively.
If the probability of their making a common error is \(\frac{1}{20}\) and they obtain the same answer, then the probability that their answer is correct is:

In a game, A can give 36 points to B, A can give 42 point to C, B can give 10 points to C. How many points make the game?

Answer the question on the basis of passage given below:
Second period elements of p-Block differs from the rest of their group members due to their small atomic size, high electronegativity, high ionization enthalpy and absence of d-orbitals. The elements from the second period like C, N, O have unique property of forming \(p \pi-p \pi\) multiple bonds whereas other heavier elements of p-block form \(d \pi-p \pi\) multiple bonds. This changes the properties of second period elements to great extent. Also the single bond strength of the p-block elements with their own atoms gets affected by their atomic size and presence of lone pairs.
Inert pair effect also affects the properties of the p-Block elements especially for those elements which are present from 4th period onward and this happens due to poor screening effect of inner (n-1)d subshell electrons.
Among the elements mentioned below, some are not stable in their +3 oxidation state and undergoes disproportionation reactions easily:
A. N
B. \(P\)
C. As
D. Sb
E. Bi
Choose the correct answer from the options given below:

Identify the statements which are not true for the natural ecosystem.
(A) Grassland and desert are examples of terrestrial ecosystem.
(B) Oceans and rivers are man-made ecosystems.
(C) Wetland and estuary are examples of aquatic ecosystem.
(D) Crop fields and aquarium are natural ecosystems
Choose the correct answer from the options given below:

The function \(f(x)=\frac{x-1}{x\left(x^2-1\right)}, x \neq 1, f(1)=1\), is discontinuous at:

The seminal plasma is rich in:
(A) Fructose
(B) Amino acids
(C) Calcium
(D) Certain enzymes
Choose the correct answer from the options given below:

The area (in sq. units) of the region bounded by \(y=-2, y=2, x=y^3\) and \(x=0\) is equal to

Calculate the speed of light in a medium in which the critical angle is 45° :