The function \(f:[0,1] \rightarrow R\) given by \(f(x)=\alpha x^3\) has:

Which of the following is not correct about the Compound Annual Growth Rate (CAGR)?

A metal wire under constant potential difference, when heated, shows that the drift velocity of the electron :

Area bounded by \(x=\frac{y^2}{4}\) and its latus rectum is:

For any square matrix \(A ;\left(A-A^{\prime}\right)\) is :

Choose the correct statement about Sinking Fund?

The mean of the following probability distribution is:

X = x	P(X = x)
0	\(\frac{1}{4}\)
1	\(\frac{1}{2}\)
2	\(\frac{1}{4}\)

If area of the triangle with vertices \(A(2, k), B(1,1), C(10,8)\) is \(\frac{47}{2}\) sq. units, then one of the values of \(k\) is:

Identify the genetic disorder in which affected individual has a furrowed tongue, retarded mental development and broad palm?

Read the passage carefully and answer the questions
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.
Identify the strongest acid

Match List-I with List-II

List-I(Stages of Human Evolution)	List-II (Characteristics)
(A) Ramapithecus	(I) Lived in East African grasslands
(B) Australopithecus	(II) Lived near East and central Asia
(C) Homo habilis	(III) Hairy and walked like gorillas
(D) Neanderthal Man	(IV) First human like being

Choose the correct answer from the options given below:

Which of the following statements are correct?
(A) Permeability of soft iron < permeability of steel
(B) Susceptibility of soft iron > susceptibility of steel
(C) Retentivity of soft iron > Retentivity of steel
(D) Coercivity of soft iron > coercivity of steel
Choose the correct answer from the options given below :

\(Mn_2O_7\), \(CrO\) and \(V_2O_5\) respectively are: