If the matrix \(\left[\begin{array}{ccc}3 & 2 a & -5 \\ 4 & 0 & b \\ -5 & 3 & 10\end{array}\right]\) is symmetric, then the value of \(5 a+2 b\) is :

A \(95 \%\) confidence interval for a population mean was reported to be 152 to 160 , if sample standard deviation \(\sigma=15\), then sample size used in this study is (Given \(Z_{0.025}=1.96\) )

Area bounded by \(y=|x-5|\) and the \(x\)-axis between \(x=2\) and \(x=4\) is:

If \(x=\frac{1-t}{1+t}\) and \(y=\frac{2 t}{1+t}\), then \(\frac{d^2 y}{d x^2}\) is equal to :

The direction ratios of the perpendicular from the point \((1,0,1)\) to the plane \(x-y+z=0\) are :

A piece of machinery is bought for Rs. 50,000
In the first year, it depreciates by 15%
In each subsequent year, the depreciation rate increases by 5%
Find the value of the machinery after 3 years

If \(\vec{a} \cdot \vec{b}=\vec{a} \cdot \vec{c}, \vec{a} \times \vec{b}=\vec{a} \times \vec{c}\) and \(\vec{a} \neq \overrightarrow{0}\), then the vector \(\vec{b}\) is equal to:

Which of following statement(s) are correct for Glucose ?
(A) Glucose is a monosaccharide sugar
(B) Glucose is an aldohexose and is also known as dextrose.
(C) Glucose can be hydrolyzed.
(D) Glucose is a reducing sugar.
Choose the correct answer from the options given below:

Read the following passage carefully and answer the given questions.
Immune System in the Body
The human immune system consists of lymphoid organs, tissues, cells and soluble molecules like antibodies. The primary lymphoid organs are bone marrow and thymus where immature lymphocytes differentiate into antigen-sensitive lymphocytes. After maturation the lymphocytes migrate to secondary lymphoid organs like spleen, lymph nodes, tonsils, Peyer's patches of small intestine and appendix. The secondary lymphoid organs provide the sites for interaction of lymphocytes with the antigen, which then proliferate to become effector cells. The bone marrow is the main lymphoid organ where all blood cells including lymphocytes are produced. Each antibody molecule has four peptide chains, two small called light chains and two longer called heavy chains. Hence, an antibody is represented as H2L2. Different types of antibodies are produced in our body. IgA, IgM, IgE, IgG are some of them. 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.
Human immune system recognizes the viral proteins as:

Haloform test is given by
(A) Formaldehyde
(B) Acetone
(C) \(\alpha\)-Phenyl ethyl alcohol
(D) Acetaldehyde
Choose the correct answer from the options given below:

Read the passage carefully and answer the questions given along
Our immune system plays the major role in preventing diseases when we are exposed to disease-causing agents. Immunity is of two types: (i) Innate immunity and (ii) Acquired immunity. The human immune system consists of lymphoid organs, tissues, cells and soluble molecules like antibodies. The immune system also plays an important role in allergic reactions, auto-immune diseases and organ transplantation. The primary lymphoid organs are bone marrow and thymus. The secondary lymphoid organs are spleen, lymph nodes, tonsils, Peyer's patches of small intestine and appendix. There is lymphoid tissue also located within the lining of the major tracts (respiratory, digestive and urogenital tracts) called mucosa associated lymphoid tissue (MALT). It is important to note that HIV/AIDS is not spread by mere touch or physical contact; it spreads only through body fluids. AIDS has no cure, prevention is the best option. Adolescence is accompanied by several biological and behavioural changes and surveys and statistics show that use of drugs and alcohol has been on the rise especially among the youth. Factors associated with drug and alcohol abuse among adolescents are a child's natural curiosity, stress, the perception among youth that it is 'cool' or progressive to smoke, media exposure and an unstable or unsupportive family structures and peer pressure. It is best to identify the situations that may push an adolescent towards use of drugs or alcohol, and to take remedial measures well in time.
Active immunization is most suitable method for:

According to the IUCN, the total number of plant and animal species is about :-

Match List-I with List-II

List-I (Immunity barriers)	List-II (Examples)
(A) Physical barriers	(I) Interferons
(B) Cellular barriers	(II) Acid in the stomach
(C) Cytokine barriers	(III) Skin
(D) Physiological barriers	(IV) WBCS

 Choose the correct answer from the options given below: