Arrange the following alcohols in decreasing order of acidity:

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Alcohol is more soluble in water when compared to alkanes due to formation of:

In the following sequence of reaction: \(CH _3 Br \xrightarrow{ KCN } A \xrightarrow{ H _3 O ^{+}} B \xrightarrow{ LiAH _4 / \text { ether }} C\)
The end product \((C)\) is

In the following examples, select the primary alkyl halide
(A). 1-Bromo-3-methylbutane
(B). 2-Bromo-2-methylbutane
(C). 3-Bromo propene
(D). Chlorophenyl methane
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Which among the following is not an Analgesic?

Read the passage carefully and answer the Questions
Carbonyl compounds such as aldehydes, ketones, and carboxylic acids play an important role in the biochemical process of plants and animal kingdom.
Many aldehydes and ketones find applications in dye, perfumery and other industries.
The carbonyl carbon atom is \(s p^2\)-hybridized forming three sigma and one pi-bond with oxygen.
C-O bonds are polar bond due to high electronegativity of oxygen than carbon.
Hence the carbonyl carbon behaves as an electrophilic center and oxygen as a nucleophilic centre.
Primary and secondary alcohols yield aldehydes and ketones respectively upon oxidation with variety of oxidizing agents.
The boiling points of aldehydes and ketones differ from hydrocarbons and ethers.
Aldehydes and ketones undergo nucleophilic addition reaction due to presence of electrophilic carbonyl carbon.
Nucleophile and a proton add across the carbon oxygen double bond.
Formalin which is used to preserve biological specimen is an aqueous solution of

Identify A and B in the following reaction.

If \(\left[\begin{array}{cc}2 x-1 & 4 x \\ 0 & y^2-1\end{array}\right]=\left[\begin{array}{cc}x+1 & 8 \\ 0 & 24\end{array}\right]\), then the value of \((x+y)\) is :

Which of the following statements is not correct for electromagnetic induction?

If \(A=\left[\begin{array}{ll}5 & 6 \\ 3 & 2\end{array}\right]\), then which of the following is correct?
(A) \(|A|\) is positive
(B) \(|a d j A|=-8\)
(C) Cofactor of 3 is 6
(D) \(|2 A|=-32\)
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The area of a triangle whose vertices are (-3,0), (3, 0) and (0, k) is 6. Then the value (or the values) of k will be:

Consider the linear programming problem (LPP):
Minimize \(Z=x+y\)
subject to
\(x+2 y \leq 4,\)
\(3 x+y \geq 3\),
\(4 x+3 y \geq 6\),
\(x, y \geq 0\).
Which of the following is correct for the above linear programming problem (LPP):
(A) The LPP has a bounded feasible region.
(B) The LPP has a unique optimal solution.
(C) The optimal value of the LPP exists at the point (3/2,0)
(D) The corner points of the feasible region are \((3 / 2,0),(3 / 5,6 / 5),(2 / 5,6 / 5)\) and \((4,0)\)
Choose the correct answer from the options given below:

Two positive numbers \(x\) and \(y\) such that \(x+y=60\) and \(x y^3\) is maximum are :