The fruit which develops without fertilisation is called :

Match List - I with List - II.

List I	List ll
(A) Penicillium notatum	(I) Wine
(B) Acetobacter aceti	(II) Curd
(C) Saccharomyces cerevisiae	(III) Antibiotics
(D) Lactobacillus	(IV) Acetic acid

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Which of the following facts are not true about GM crops ?
(A) They are more tolerant to abiotic stress (cold, drought, heat, salinity, etc.).
(B) They are pest-resistant.
(C) They cause early exhaustion of soil fertility.
(D) The food produced has decreased nutritional value.
Choose the correct answer from the options given below:

As a biocontrol agents, the ladybird and dragonflies are useful to get rid of -

The density of a population in a given habitat during a given period, fluctuates due to changes in -
(A) Natality
(B) Immigration
(C) Emigration
(D) Mortality
Choose the correct answer from the options given below:

Read the following paragraph carefully and answer the given questions.
Certain types of leukocytes (WBC) of our body like polymorpho-nuclear leukocytes (PMNL-neutrophils) and monocytes and natural killer (type of lymphocytes) in the blood as well as macrophages in tissues can phagocytose and destroy microbes. For determining the cause of allergy, the patient is exposed to or injected with very small doses of possible allergens, and the reactions studied. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Heroin, commonly called smack is chemically diacetylmorphine which is a white, odourless, bitter crystalline compound. This is obtained by acetylation of morphine. 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. 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.
Which of the following technique is not very useful to detect the cancers of internal organs?

Observe the given diagram representing global biodiversity and answer the question.

Global Bio-diversity
___________ occupy more than 2/3rd of Global Biodiversity.

The half life of decaying \({ }^{14} C\) is 6000 years approximately. How much time is needed to decaying \(80 \%\) of \({ }^{14} C ?[\log 5=0.6990]\)

Match List-I with List-II
Let \(\theta\) be the angle between the vector \(\vec{a}\) and \(\vec{b}\).

List-I	List-II
(A) \(\vec{a} \cdot \vec{b}\)	(I) \(\frac{1}{10} \log \left|\frac{5+x}{5-x}\right|+C\)
(B) \(\vec{a} \times \vec{b}\)	(II) \(\frac{\vec{a} \cdot \vec{b}}{|\vec{b}|^2} \vec{b}\)
(C) Projection vector of \(\vec{a}\) on \(\vec{b}(\neq 0)\)	(III) \(|\vec{a}||\vec{b}| \sin \theta \hat{n}\) where \(\hat{n}\) is a unit vector perpendicular to both \(\vec{a}\) and \(\vec{b}\)
(D) \(\vec{a}\) and \(\vec{b}\) are orthogonal vectors	(IV) \(|\vec{a}||\vec{b}| \cos \theta\)

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If \(x=a \sin ^3 t\) and \(y=a \cos ^3 t\), then \(\frac{d y}{d x}\) is equal to :

The common name and IUPAC name of the following compound, respectively, are

In a full wave rectifier, the output voltage obtained is in the shape of pulsating half sinusoids which are unidirectional but not steady. To get a steady d.c. output
(A) An inductor can be use in series with the load resistor
(B) A capacitor of high value of capacitance can be used in parallel with the load resistor
(C) A capacitor of low capacitance can be used in series with the load resistor(D) Only load resistor is enough to filter out the pulses and convert them to d.c.
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Which of the following statements is incorrect with respect to the plot of molar conductivity (\(\Lambda_m\)) versus square root of concentration (\(c^{1/2}\)) for electrolytes in solution?