If \(A\) is a square matrix of order \(3 \times 3\) and \(|A|=4\). The value of \(\mid(\operatorname{adj} A)\). \(A \mid\) is:

A person has an initial investment of \(25000\) in an investment plan. After \(2\), years it has grown \(30000\), then the rate of return on his investment is:

Ten bulbs are drawn successively with replacement from a lot containing \(10 \%\) defective bulbs. The probability that there is at least one defective bulb is :

A swimmer's speed in still water is \(6 km / hr\). He swims between two points in a river and returns back to the starting point. He took 24 minutes more to cover the distance

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:

\(I=\int a^{5 x+3} d x\) is :

The area of the smaller region enclosed by the ellipse \(\frac{x^2}{16}+\frac{y^2}{9}=1\) and the ne straight straight line \(\frac{x}{4}+\frac{y}{3}=1\) is \(a \pi+b\). The value of a + b is:

If \(A\) is a square matrix and \(|A|=4\), then the value of \(\left|A A^{\prime}\right|\) where \(A^{\prime}\) is transpose of \(A\) is:

A glass rod, rubbed with silk gets positively charged, why ?

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 one of the following is not the cellular barrier of innate immunity?

Let \(A\) and \(B\) be two invertible square matrices of same order, then which of the following is not correct?

Match List-I with List-II

List-I (Population interactions)	List-II (Species A / Species B)
(A) Competition	(I) - / 0
(B) Amensalism	(II) + / 0
(C) Commensalism	(III) + / -
(D) Parasitism	(IV) - / -

'* + 'sign for beneficial interaction, '-'for detrimental and '0 *' for neutral interaction
Choose the correct answer from the options given below:

Two point changes \( - q \) and \( + q \) are located at points \( (0, 0, -a) \) and \( (0, 0, +a) \) respectively. The electric potential of a point \( (0, b, 0) \), where \( b > a \), is :