Answer the question on basis of passage given below :
Molecular nitrogen is very little reactive chemically. During lightning discharge, atmospheric nitrogen and oxygen combines to form nitric oxide which also combines with oxygen to form nitrogen dioxide. Both NO and \(NO _2\) constitute smog which is very poisonous. It can cause burning sensasion in the eyes and adversely affect respiratory system.
What is the colour of nitrogen dioxide.

Answer the question on basis of passage given below :
The noble gases He to Rn have close shell configuration and are monoatomic gases under normal conditions. Though mostly unreactive, but direct reaction of Xe with \(F_2\) leads to a series of compounds with Xe oxidation numbers \(+2,+4\) and +6 . When certain compounds like phenol and quinol are crystallised in the presence of noble gas such as \(Ar , Kr\) and Xe a category of compound called clathrates are formed. In these the noble gas atoms are trapped in the cavities of the crystal lattices. The compounds which crystallise are known as hosts (H) while the noble gas atoms are called guests ( \(G\) ). The general formula of a clathrate compound is \(n H m G\), where \(n\) is the number of host molecules and m is the number of atoms a molecule of guest.
In what molar ratio must Xe and \(F_2\) be taken to give \(XeF _4\) ?

Which of the following statements are correct?
A. \(\text{CuI}_2\) is not known.
B. \(\text{Cu}_2\text{I}_2\) is known.
C. \(\text{Cu}^{2+}\) ion oxidises \(\text{I}^-\text{}\) to \(\text{I}_2\).
D. \(\text{Cu}^{2+}\) ion does not oxidise \(\text{I}^-\text{}\) to \(\text{I}_2\).

Choose the incorrect statement from the following:

Match List I with List II.

List-I	List-II
A. \(KMnO _4\)	I. Orange
B. \(K _2 Cr _2 O _7\)	II. Green
C. \(K _2 CrO _4\)	III. Yellow
D. \(K _2 MnO _4\)	IV. Purple

Choose the correct answer from the options given below :

Match List-l with List-II

List-l (Compound/Elements)	List-II (Uses)
(A) Magnesium based alloy is constituent of	(I) Bullets
(B) Lanthanoid oxide	(II) Petroleum cracking
(C) Mixed oxides of Lanthanoids are employed in	(III) Television screen
(D) Misch metal	(IV) Lanthanoid metal and iron

Choose the correct answer from the options given below :

What is the IUPAC name of resorcinol?

Which of the following reactions are disproportionation reactions?
(A) \(2\text{Cu}^+ \rightarrow \text{Cu}^{2+} + \text{Cu}\)
(B) \(3\text{MnO}_4^{2-} + 4\text{H}^+ \rightarrow 2\text{MnO}_4^- + \text{MnO}_2 + 2\text{H}_2\text{O}\)
(C) \(2\text{KMnO}_4 \rightarrow \text{K}_2\text{MnO}_4 + \text{MnO}_2 + \text{O}_2\)
(D) \(2\text{MnO}_4^- + 3\text{Mn}^{2+} + 2\text{H}_2\text{O} \rightarrow 5\text{MnO}_2 + 4\text{H}^+\)
Choose the correct answer from the options given below:"

Arrange the following structures involved in embryogenesis in the correct sequence.
(A) Zygote
(B) Blastocyst
(C) Blastomeres
(D) Morula
Choose the correct answer from the options given below:

The following data is available for two independent samples:

	SAMPLE-1	SAMPLE-2
sample size	8	10
sample mean	191	199
sample standard deviation	10	12

A compound forms hexagonal closed packed structure. What is the number of tetrahedral voids in \(0.8\text{ mol}\) of it?

The sum of the \(x\) coordinates of the corner points of the feasible region for the LPP :
Minimize \(z=3 x+2 y\) subject to constraints \(x+y \leq 14, x \geq 4, x \leq 8, y \geq 0\) is

The solution of the differential equation \(\frac{d r}{d t}=-r t, r(0)=r_0\) is