Match List-l with List-ll

List-l (Term)	List-II (Explanation)
(A) Natality	(I) Number of the same species individuals that have come into the habitat
(B) Immigration	(II) Number of deaths during a given time in a population
(C) Mortality	(III) Number of the same species individuals that have left the habitat
(D) Emigration	(IV) Number of births during a given time in a population

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Sap of which plant is fermented to produce 'Toddy' in southern India ?

Read the given paragraph and answer the given question :
Parasitism has evolved in many taxonomic groups from plants to higher vertebrates. Many parasites have evolved to be host specific in such a way that both host and the parasite tend to co-evolve. In accordance with their life styles, parasite evolve special adaptations and complex life cycle.
The complex life cycle of a parasite means:

Identify the microbes producing commercially important organic acids and enzymes from the given options:
(A) Trichoderma polysporum
(B) Streptococcus
(C) Clostridium butylicum
(D) Aspergillus niger
Choose the correct answer from the options given below:

Read the following paragraph and answer the given questions:
DRUGS AND ALCOHOL ABUSE
The drugs, commonly abused are opioids, cannabinoids, and coca alkaloids. Opioids are the drugs, which bind to specific opioid receptors present in our central nervous system and gastrointestinal tract. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. Cannabinoids are a group of chemicals, which interact with cannabinoid receptors present principally in the brain. Natural cannabinoids are obtained from the inflorescences of the plant Cannabis sativa. The flower tops, leaves and the resin of cannabis plant are used in various combinations to produce marijuana, hashish, charas and ganja. Generally taken by inhalation and oral ingestion, these are known for their effects on cardiovascular system of the body. It interferes with the transport of the neuro-transmitter dopamine. Cocaine, commonly called coke or crack is usually snorted. It has a potent stimulating action on central nervous system, producing a sense of euphoria and increased energy. Excessive dosage of cocaine causes hallucinations. Other well-known plants with hallucinogenic properties are Atropa belladona and Datura. These days cannabinoids are also being abused by some sportspersons. 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. Several plants, fruits and seeds having hallucinogenic properties have been used for hundreds of years in folk-medicine, religious ceremonies and rituals all over the globe.
Which one of the following drugs is known for its effects on the cardiovascular system of the body?

Which one of the followings represent a correct form of mature angiosperm embryo sac?

After ovulation, the remains of Graafian follicle are transformed into :

Match List I with List II

List - I	List - II
(A) Lactobacillus casei	(I) Swiss cheese
(B) Clostridium butylicum	(II) Curd
(C) Propionibacterium sharmanii	(III) Acetic acid
(D) Acetobacter aceti	(IV) Butyric acid

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A proton has double the kinetic energy of an \( \alpha \)- particle. The ratio of the de-Broglie wavelength of the proton to that of \( \alpha \)- particle will be

Match List-I with List-II

List-I (Parameter of Magnetic Dipole)	List-II (Formula)
(A) Magnetic moment	(I) \( \mu_0 2m / (4\pi x^3) \)
(B) Magnetic field on the equatorial line	(II) \( m \times B \)
(C) Magnetic field on axial line	(III) \( IA \)
(D) External torque in magnetic field	(IV) [Missing/Constant]

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Arrange the following compounds in the increasing order of their boiling points:
A. \(\text{CH}_3\text{CH}_2\text{CH}_2\text{COOH}\)
B. \(\text{CH}_3\text{CH}_2\text{CH}_2\text{CH}_2\text{OH}\)
C. \(\text{CH}_3\text{CH}_2\text{OCH}_2\text{CH}_3\)
D. \(\text{CH}_3\text{CH}_2\text{CH}_2\text{CH}_3\)
E. \(\text{CH}_3\text{CH}_2\text{CH}_2\text{CHO}\)
Choose the correct answer from the options given below:"

For the differential equation \(x \frac{d y}{d x}+2 y=x^2 \log _e x\)
(A) Integrating factor is \(2 x\)
(B) Integrating factor is \(x^2\)
(C) General Solution is \(y=\frac{x^2}{16}\left(4 \log _e|x|-1\right)+C x^{-2}\), where \(C\) is an arbitrary constant.
(D) General Solution is \(y=\frac{x^4}{16}\left(4 \log _e|x|-1\right)+C\), where \(C\) is an arbitrary constant.
Choose the correct answer from the options given below :

\(\int \frac{\cos x - \sin x}{1 + \sin 2x} dx\) is equal to: