Arrange the following alkyl halides in increasing order of reactivity towards \(SN ^2\) reaction?
(A)\(CH _3- Cl\)
(B)\(CH _3- Br\)
(C)\(CH _3- F\)
(D)\(CH _3- I\)
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Which of the following statements is correct for an enzyme?
(A) It is a biocatalyst.
(B) It can catalyze any chemical reaction.
(C) Almost all enzymes are globular proteins.
(D) They reduce the magnitude of activation energy.
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Considering the following statements; identify the correct statements:
(A) Scandium is regarded as a transition element, but zinc is not.
(B) \(V _2 O _3\) is amphoteric and \(V _2 O _5\) is basic oxide.
(C) The similar radii of Zr and Hf is a consequence of the lanthanoid contraction.
(D) The oxidation state of chromium in chromate and dichromate ion is same.
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Answer the questions on the basis of passage given below :
As aldehydes ketones possess the carbonyl functional group, they show similar reactions. They exhibit nucleophilic addition reactions, reduction, oxidations, reactions due to alpha-Hydrogen atom, and many other reactions, like Cannizzaro reaction to electrophilic substitution reactions (in case of aromatic aldehydes ketones).
These reactions help in the preparation of a number of important compounds, like acetic acid, vinyl acetate, polymers and in perfume and dye industries.
Nucleophilic addition reactions form cyanohydrins, acetals, alcohols and N -substituted derivatives like imine, oxime, semicarbazone, phenylhydrazone Schiff's base. Reactions due to alpha-hydrogen atoms help in formation of aldols and alpha, beta-unsaturated aldehydes ketones.
Which of the following combinations of Grignard's reagent and carbonyl compound can give \(C _6 H _5- C ( OH )\left( CH _3\right)- CH \left( CH _3\right)_2\)
A. \(C _6 H _5 CH _2 MgBr +\left( CH _3\right)_2 CH - CHO\)
B. \(C _6 H _5 MgBr + CH _3- CO - CH \left( CH _3\right)_2\)
C. \(CH _3 MgBr + C _6 H _5- CO - CH \left( CH _3\right)_2\)
D. \(C _6 H _5- CO - CH _3+\left( CH _3\right)_2 CHMgBr\)
E. \(C _6 H _5 CH ( MgBr ) CH _3+\left( CH _3\right)_2 CO\)
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Calculate the mass of urea \((NH_2CONH_2)\) required to prepare \(2.5\ kg\) of a \(0.25\ molal\) aqueous solution.

Read the passage carefully and answer
Carbohydrates are essential for both plants and animals. Some common examples of carbohydrates are glucose, fructose, sucrose, glycogen, cellulose and starch. They form a major portion of our food. Honey has been used for a long time as an instant source of energy in Ayurvedic medicine. Carbohydrates are used as storage molecules in both plants and animals. The cell wall of bacteria and plants is made of cellulose. We use cellulose in the form of wood for making furniture and as cotton fiber for clothing. They also provide raw material for textiles,
paper, lacquers, and breweries. Carbohydrates are classified as Monosaccharides, Oligosaccharides and Polysaccharides on the basis of their behavior towards hydrolysis. Monosaccharides cannot be hydrolyzed further to simpler units whereas oligosaccharides can yield 2-10 units of monosaccharides on hydrolysis. Polysaccharides, which are non-sugars yield a large number of monosaccharide units on hydrolysis.
Answer the following questions about carbohydrates:
Hydrolytic products of maltose are?

Match List I with List II.

List-I (Compounds)	List-II (Oxidation number of Cobalt)
A. \(\left[ Co \left( NH _3\right)_5( NCS )\right] SO _3\)	I. \(+4\)
B. \(\left[ Co \left( NH _3\right)_4 Cl _2\right] SO _4\)	II. \(0\)
C. \(Na _4\left[ Co \left( S _2 O _3\right)_3\right]\)	III. \(+2\)
D. \(\left[ Co _2( CO )_8\right]\)	IV. \(+3\)

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Electric field \(\vec{E}\) at the surface of charged conductor is:
A. \(|\vec{E}| = \frac{\sigma}{\epsilon_0}\)
B. \(\vec{E}\) has a tangential component
C. Electric field is zero everywhere inside the conductor.
D. Any excess charge must reside on the surface of the conductor.
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Identify the antibody present in colostrum.

If \(f(x)=|x|+|x-5|\), then which of the following statements are TRUE?
(A) \(f\) is a continuous function everywhere
(B) \(f\) is a continuous function except x = 5 and x = 0
(C) \(f\) is a continuous function except x = 0 but not differentiable at x = 5
(D) \(f\) is a continuous function everywhere but not differentiable at x = 0 and x = 5
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Two coherent light beams of intensity 2I and 18I are superposed with each other. The maximum and minimum possible intensities in the resulting beam are

The resistivity of a potentiometer wire is \( 10^{-7} \, \Omega \text{ m} \) and its cross-section area is \( 10^{-6} \text{ m}^2 \). When a current of 0.1 A flows through the wire, its potential gradient is :

Match List-I with List-II
An urn contains 4 white and 3 red balls. In a random draw of three balls, the probability of

List-I	List-II
(A) No red ball is	(I) \(\frac{12}{35}\)
(B) Only 1 red ball is	(II) \(\frac{1}{35}\)
(C) Exactly 2 red balls is	(III) \(\frac{4}{35}\)
(D) No white ball is	(IV) \(\frac{18}{35}\)

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