Which one of the following compounds is achiral?

Primary Alkyl halide \(\text{C}_4\text{H}_9\text{Br}\) (X) reacts with alcoholic \(\text{KOH}\) to give the compound (Y). Compound (Y) is reacted with \(\text{HBr}\)
to give (Z) which is an isomer of (X). When (X) is reacted with \(\text{Na/dry ether}\), it gives a compound (T), \(\text{C}_8\text{H}_{18}\), which is
different from the compound formed when n-butyl bromide is reacted with \(\text{Na/dry ether}\). The correct IUPAC name of (T) is:

Decide which of the following atomic numbers are the atomic numbers of the inner transition elements
(A) 59
(B) 95
(C) 102
(D) 74
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A solution of 2.5 g of ethanoic acid in 75 g of benzene is prepared. What is the molar mass of ethanoic acid, moles of ethanoic acid, mass of benzene and molality of ethanoic acid?
(A) \(0.556 \text{ mol } kg^{-1}\)
(B) \(0.0417 \text{ mol}\)
(C) \(60 \text{ g } mol^{-1}\)
(D) \(0.075 \text{ kg}\)
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Read the passage carefully and answer the Questions
The term vitamin was coined from the word vital +amine since the earlier identified compounds had amino groups. Later work showed that most of them didn't contain amino groups, so the letter "e" was dropped and ther term vitamin is used these days.
Vitamins are classified into two groups depending upon their solubility in water or fat. Fat soluble vitamins are soluble in fat and oils but insoluble in water. They are stored in liver and adipose (fat storing) tissues. Water-soluble vitamins are soluble in water. They must be supplied regularly in the diet as they are readily excreated in urine.
Among the following, water-soluble vitamin is

An aqueous solution of urea has a freezing point of \(\text{– } 0.52^{\circ}\text{C}\). Predict the osmotic pressure of the solution at \(37^{\circ}\text{C}\) [\(K_f = 1.86\), assuming that the molar concentration and molality are numerically equal]

What is the color of Fe³⁺ (aq) ion?

The integrating factor of the differential equation \(x \frac{d y}{d x}+2 y=x^2\) is:

The capacitance of a capacitor is \( 4 \mu\text{F} \) and it's potential is 100 V. The energy released on discharging it fully will be

\(\int \frac{d x}{9 x^2-16}\) is equal to:

Read the following paragraph and answer the given questions.
Cancer detection is based on biopsy and histopathological studies. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs. Do you know why mother's milk is considered very essential for the new-born infant? The yellowish fluid colostrum secreted by mother during the initial days of lactation has abundant antibodies (IgA) to protect the infant. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal. The exaggerated response of the immune system to certain antigens present in the environment is called allergy. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Drugs like barbiturates, amphetamines, benzodiazepines, and other similar drugs, that are normally used as medicines to help patients cope with mental illnesses like depression and insomnia, are often abused. Morphine is a very effective sedative and painkiller, and is very useful in patients who have undergone surgery.
Malignant malaria is caused by -

The shortest distance between the lines \(\frac{x-1}{2}=\frac{y-2}{3}=\frac{x-3}{4}\) and \(\frac{x-2}{4}=\frac{y-4}{6}=\frac{x-5}{8}\) is equal to:

Match List-l with List-II

LIST- I (Population interaction)	LIST- II ( Example)
(A) Parasitism	(I) Herbivores and plants
(B) Commensalism	(II) Human liver fluke
(C) Mutualism	(III) Egret and grazing cattle
(D) Competition	(IV) Lichens

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