Given that \(\sigma p_{0} q_{0} = 1000, \sigma p_{0} q_{0} = 1200, \sigma p_{0} q_{0} = 1350, \sigma p_{0} q_{0} = 1500\), where subscripts 0 and and 1 used for base year and current year respectively. The Paasche's Index number is :

Match List-l with List-ll

List-l	List-ll
(A) \(f(x)=x \cdot \sin x\)	(I) is not continuous at \(x=-3\)
(B) \(f(x)=\frac{|x|}{x}, x \neq 0\) and \(f(x)=1\) at \(x=0\)	(II) is continuous everywhere
(C) \(f(x)=x-[x],[x]\) denotes greatest integer function	(III) is not differentiable at \(x=1\)
(D) \(f(x)=e^{|x-1|}\)	(IV) is not continuous at \(x=0\)

Choose the correct answer from the options given below :

Let \(\left|\begin{array}{cc}3 x & -7 \\ 1 & 4\end{array}\right|=\left|\begin{array}{ll}3 & 2 \\ 4 & x\end{array}\right|\), then value of \(x\) is :

The matrix \(X\) in the equation \(A X=B\), such that \(A=\left[\begin{array}{ll}1 & 3 \\ 0 & 2\end{array}\right]\) and \(B=\left[\begin{array}{cc}1 & -1 \\ 0 & 2\end{array}\right]\) is given by

The declared rate of return compounded semi annually equivalent to the effective rate of return \(10.25\%\) per annum is :

The values of ' \(a\) ' and ' \(b\) ' if the equation of straight line trend by least square method is given by \(y=a+b x\) such that \(\sum x=0, \sum y=84, \sum x y=108, \sum x^2=70\) for 6 observation as are :

If \(\left(t_1, y_1\right),\left(t_2, y_2\right)\),...,\(\left(t_n, y_n\right)\) denote the time series and \(y_t\) are the trend values of the variables \(y\), then

Magnetic moment values for \(\left[ Fe \left( H _2 O \right)_6\right]^{3+}\) and \(\left[ Fe ( CN )_6\right]^{3-}\) are ....

Read the following paragraph carefully and answer the given questions.
Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. For determining the cause of allergy, the patient is exposed to or injected with very small doses of possible allergens, and the reactions studied. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. This is obtained by acetylation of morphine. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal.
Which one of the following drugs can not quickly reduce the symptoms of allergy?

Which of the following processes is responsible for the formation of a Delta when river water meets the sea water?

The correct sequence A, B, C, D, E with reference to atomic spectral series is :
(A) Lyman series \(\frac{1}{\lambda}=R\left(\frac{1}{A^2}-\frac{1}{n^2}\right)\)
(B) Balmer series \(\frac{1}{\lambda}=R\left(\frac{1}{B^2}-\frac{1}{n^2}\right)\)
(C) Pfund series \(\frac{1}{\lambda}=R\left(\frac{1}{C^2}-\frac{1}{n^2}\right)\)
(D) Brackett series \(\frac{1}{\lambda}=R\left(\frac{1}{D^2}-\frac{1}{n^2}\right)\)
(E) Paschen series \(\frac{1}{\lambda}=R\left(\frac{1}{E^2}-\frac{1}{n^2}\right)\)
Choose the correct answer from the options given below :

Which one of the following structures is not the male sex accessory duct in human?

Observe the given figures and answer the question

In Figure III, which of the following statements is correct regarding the labelled parts?
A. H represents the radicle, which develops into the root system
B. E represents the coleorhiza, protecting the plumule
C. J represents the endosperm, which stores food
D. K represents the testa, derived from integuments