The microbe involved in the production of citric acid is -

Which of the following statements are incorrect regarding food chain ?
(A) Primary carnivores are the tertiary consumers
(B) The flow of energy form the sun to producers and then to consumers is unidirectional
(C) The death of the organism is the initation of detritus food chain
(D) Plant are the primary consumers as they utilise the solar energy for making food
Choose the correct answer from the options given below:

Arrange the steps of biopsy and histopathology of tissue involved in detection of cancer.
(A) A thin section of tissue is stained
(B) Freezing of tissue in liquid nitrogen
(C) A piece of the suspected tissue cut into thin sections
(D) Examination under microscope
Choose the correct answer from the options given below:

Arrange the following events of embryo development occuring after fertilisation in the correct sequence.
A. Attachment of blastocysts with uterine endometrium
B. Formation of morula
C. Formation of blastocyst
D. Cleavage in the zygote
Choose the correct answer from the options given below:

Which of the following show Pleiotropism?

Select the statements which hold true for immune system:
A. Innate immunity or nonspecific immunity is present at the time of birth.
B. Acquired immunity is never pathogen specific
C. Cytokine barriers are a part of innate immunity
D. Rheumatoid arthritis is an auto-immune disease
Choose the correct answer from the options given below:

Read the passage carefully. Attempt the questions.
In our body, cell growth and differentiation is highly controlled and regulated. In cancer cells, there is breakdown of these regulatory mechanisms. Cancerous cells just continue to divide giving rise to masses of cells called tumors. Benign tumors normally remain confined to their original location. The malignant tumors, on the other hand are a mass of proliferating cells. These cells actively divide and starve the normal cells by competing for vital nutrients. Cells sloughed from such tumors reach distant sites through blood, and wherever they get lodged in the body, they start a new tumor there. This property is called metastasis. Transformation of normal cells into cancerous cells may be induced by physical, chemical or biological agents called carcinogens.
Cancer is caused by:
A. Carcinogens
B. Protein rich foods
C. Primary lymphocytes
D. Oncogenes
Choose the correct answer from the options given below:

If \(A=\left[\begin{array}{lll}-1 & 2 & 3\end{array}\right], B=\left[\begin{array}{l}3 \\ 2 \\ 2\end{array}\right], C=\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]\) and \(D=\left[\begin{array}{l}2 \\ 3 \\ 4\end{array}\right]\) then AB + CD is equal to :

Thiosulphte \(\mathrm{S}_2 \mathrm{O}_3^{2-}\) is oxidized to __________ in presence of permanganate ion.

The maximum value of the objective function \(Z=10 x+15 y\) of an L.P.P, whjected to the constraints
\(2 x+4 y \leq 8,\)
\(3 x+y \leq 6\)
\(-x-y \geq-4\)
\(x \geq 0, y \geq 0\) is :

The standard deviation of the number of tails in three tosses of a coin is :

Let us consider an annuity whose periodic payment is ₹ R payable at the end of each payment period for ' \(n ^{\prime}\) periods, interest paid r% per period or \(i=\frac{r}{100}\), so the amount.

For the following probability distribution,

X	1	2	3	4
p(x)	\(\frac{1}{10}\)	\(\frac{1}{5}\)	\(\frac{3}{10}\)	\(\frac{2}{5}\)

The value of \(E\left(X^2\right)-[E(X)]^2\)