In the following compounds, what is the increasing order of their reactivity towards nucleophilic addition reactions?
Benzaldehyde, p-Tolualdehyde, p-Nitrobenzaldehyde, Acetophenone

Which of the following is not correct?
A. \(La(OH)_3\) is less basic than \(Lu(OH)_3\)
B. In Lanthanoid series, ionic radius of \(M^{3+}\) ion decreases from \(La\) to \(Lu\).
C. \(La\) is an element of transition series rather than a Lanthanoid series.
D. Atomic radii of \(Zr\) and \(Hf\) are the same because of Lanthanoid contraction.
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Match List - I with List - II

List - I	List - II
(A) Impurity defect	(I) NaCl with anionic sites called F centres
(B) Metal excess defect	(II) FeO with Fe3+
(C) Metal deficiency defect	(III) Non ionic solids and density of solid decreases
(D) Simple vacancy defect	(IV) NaCl with Sr2+ and cationic sites vacant

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The decomposition of \(N_2O_5\ (g)\) is given as
\(N_2O_5(g) \rightarrow 2NO_2(g) + \frac{1}{2}O_2(g)\)
The above reaction is found to be of first order.
Predict the intercept for the plot of \(log \frac{[N_2O_5]_0}{[N_2O_5]}\) versus time

Elements of group-15, 16 and 17 form compounds with hydrogen with general formula MH3, \(H 2 M\) and HX (called hydrogen halides). Stability of these hydrides, along with M-H bond strength and basic nature decreases down the group. Boiling point of these hydrides mainly depends on the strength of their inter molecular forces.
Decreasing order of boiling point of group 15 hydrides is:
A. \(NH _3\)
B. \(PH _3\)
C. \(AsH _3\)
D. \(SbH _3\)
E. \(BiH _3\)
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Carboxylic acids are the organic compounds which comprise of carboxyl functional group, -COOH. These are generally found in nature, some higher members are known as fatty acids as they occur in natural fats as esters of glycerol. They can be prepared from oxidation of alcohols and aldehydes, hydrolysis of nitriles and amides and Grignard reagents. They are stronger acids than simple phenols and alcohols. but weaker than mineral acids. Substituents affect the acidity of aliphatic and aromatic carboxylic acids. They undergo reactions involving cleavage of -OH and C-OH bond. Carboxylic acids having an alpha hydrogen get halogenated in the presence of red phosphorus to form alpha halo carboxylic acids. The reaction is known as Hell Volhard Zelinsky reaction. Besides these aromatic carboxylic acids undergo electrophilic substitution reactions. They are versatile and are employed in the manufacture of various useful compounds. For example, methanoic acid is used in rubber, textile, dyeing, leather and electroplating industries. Higher fatty acids are used in the manufacture of soaps and detergents. Esters of Benzoic acid are used in perfumery.
The reagents needed for the preparation of Benzoic acid from ethyl benzene is :

What is the IUPAC name of the following compound?

\(\int_2^5|x-3| d x\) equals

Which one of the following facts is not true about genetic equilibrium?

Two numbers are selected without replacement at random, one at a time from the first six positive integers. Let x denotes the larger of the two numbers. Match List-I with List-II

List-I	List-II
(A) \(P(x=2)\)	(I) \(\frac{4}{15}\)
(B) \(P(x=3)\)	(II) \(\frac{1}{15}\)
(C) \(P(x=4)\)	(III) \(\frac{2}{15}\)
(D) \(P(x=5)\)	(IV) \(\frac{1}{5}\)

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Salmonella typhi is a pathogenic bacterium which causes typhoid fever in human beings. Sustained high fever (39° to 40°C), weakness, stomach pain, constipation, headache and loss of appetite are some of the common symptoms of this disease. Typhoid fever could be confirmed by Widal test. Plasmodium enters the human body as sporozoites. The parasites initially multiply within the liver cells and then attack the red blood cells (RBCs) resulting in their rupture. The rupture of RBCs is associated with release of a toxic substance, haemozoin, which is responsible for the chill and high fever recurring every three to four days. There is lymphoid tissue also located within the lining of the major tracts (respiratory, digestive and urogenital tracts) called mucosa-associated lymphoid tissue (MALT). In our body, cell growth and differentiation is highly controlled and regulated. In cancer cells, there is breakdown of regulatory mechanisms. Normal cells show a property called contact inhibition by virtue of which contact with other cells inhibits their uncontrolled growth. Cancerous cells just continue to divide giving rise to masses of cells called tumors. Tumors are of two types: benign and malignant. Cannabinoids are a group of chemicals, which interact with cannabinoid receptors present principally in the brain. Generally taken by inhalation and oral ingestion, these are known for their effects on cardiovascular system of the body.
The rupture of RBCs is associated with release of a toxic substance__________, which is responsible for the chill and high fever recurring every three to four days.

Select the high spin complexes from the following:
(A) \(\left[ Ni ( CN )_4\right]^{2-}\)
(B) \(\left[ Fe ( CN )_6\right]^{3-}\)
(C) \(\left[ MnBr _4\right]^{2-}\)
(D) \(\left[ Fe \left( H _2 O \right)_6\right]^{2+}\)
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Select the order of increasing solubility of given gases in water at 293 K:
(A) \(\mathrm{O}_2\left(\mathrm{~K}_H=34.86 \mathrm{kbar}\right)\)
(B) \(\mathrm{He}\left(\mathrm{K}_H=144.97 \mathrm{kbar}\right)\)
(C) \(\mathrm{N}_2\left(\mathrm{~K}_H=76.48 \mathrm{kbar}\right)\)
(D) \(\mathrm{H}_2\left(\mathrm{~K}_H=69.16 \mathrm{kbar}\right)\)
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