Due to which of the following, the irregular variations in a time series are caused:
(A) Floods
(B) Rise in prices before festivals
(C) A fire in a factory
(D) Epidemics
Choose the correct answer from the options given below:

The value of the integral \(I=\int_{-3}^3|x| d x\) is:

The corner points of the feasible region determined by the system of linear inequalities x + 3y \(\le\) 60, x + y \(\ge\) 10, x \(\ge\) 0, y \(\ge\) 0 are (0,10), (0,20), (60,0) and (10, 0). Let Z = 3x + 5y, then Max Z occurs at:

Given that the value of a determinant of order three is zero; which one of the following is not correct?

Let \(A\) be a square matrix of order \(3 \times 3\), then \(|K A|\) is equal to :

If \(A=(2,3), B=(-1,0), C=(4,6)\) then the area of the parallelogram \(A B C D\) is:

The mean of the number of heads in a simultaneous toss of three coins is :

In a nuclear fission reaction given below, the three neutrons are released. The value of x and y are\( {}_{0}^{1}n + {}_{92}^{235}U \rightarrow {}_{56}^{x}Ba + {}_{y}^{89}Kr + 3{}_{0}^{1}n \)

The value of the integral \(I=\int_0^1 \frac{1}{\sqrt{1+3 \sqrt{x}}} d x\) is:

Transition metals form a large number of complexes or coordination compounds in which the metal atoms are bound to a number of anions or neutral molecules. The valence bond theory explain the formation, magnetic behaviour and geometrical shapes while the crystal field theory explains the effect of different crystal fields on the degeneracy of d-orbitals energies of the central metal atom/ion. This provides for the quantitative estimation of orbital separation energies, magnetic moments and spectral and stability parameters.
Two complexes of nickel have same geometry but different magnetic behaviour are:
(A) \(\text{[Ni(CN)}_4]^{2-}\)
(B) \(\text{[Ni(CO)}_4]\)
(C) \(\text{[NiCl}_4]^{2-}\)
(D) \(\text{[Ni(NH}_3)_6]^{2+}\)
Choose the correct answer from the options given below :

Match List I with List II.

List-I (Compounds)	List-II (Oxidation number of Cobalt)
A. \(\left[ Co \left( NH _3\right)_5( NCS )\right] SO _3\)	I. \(+4\)
B. \(\left[ Co \left( NH _3\right)_4 Cl _2\right] SO _4\)	II. \(0\)
C. \(Na _4\left[ Co \left( S _2 O _3\right)_3\right]\)	III. \(+2\)
D. \(\left[ Co _2( CO )_8\right]\)	IV. \(+3\)

Choose the correct answer from the options given below :

If \(y=t-\frac{1}{t}\) and \(x=t+\frac{1}{t}\), then \(\frac{d y}{d x}\) is equal to

Which of the following is incorrect with reference to drug abuse?