If matrix A is of order 2 × 3 and B of order 3 × 2 then

If a matrix has 12 elements, then the possible orders it can have, are
(A) \(1 \times 12\)
(B) \(4 \times 3\)
(C) \(6 \times 3\)
(D) \(6 \times 2\)
Choose the correct answer from the options given below :

A unit vector perpendicular to the vectors \(\hat{i}-\hat{j}\) and \(\hat{i}+\hat{j}\) is

If a fair coin is tossed 10 times, then the probability of obtaining at least one head is:

Let \(A=\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right]\), then \(\left(A^{-1}\right)^T\) equals

A metal wire under constant potential difference, when heated, shows that the drift velocity of the electron :

Let \(f: R \rightarrow R\) be a function defined as \(f(x)=x^4\). Which one of the following is true?

Which of the following enzyme is used during isolation of DNA from fungal cells?

Read the following passage carefully and answer the given questions
The earthworm is referred to as the farmer's friend. This is because they help in the breakdown of complex organic matter as well as in loosening of soil. Similarly, decomposers break down complex organic matter into inorganic substances like carbon dioxide, water and nutrients and the process is called decomposition. Dead plant remains such as leaves, bark, flowers and dead remains of animals, including fecal matter, constitute detritus, which is the raw material for decomposition. Some of the steps in the process of decomposition are fragmentation, catabolism, leaching, humification etc.
The process of breaking down of detritus into smaller particles is called:

In a village, there are three mohallas A, B and C. 60\% farmers in mohalla A believe in new technology of agriculture, while in B it is 70\% and in C is 80\%.
The total probability that a farmer believes in new technology of agriculture is:

The value of \(x\), if \(\cos^{-1} \sqrt{3}x + \cos^{-1} x = \frac{\pi}{2}\) is:

Identify the statements which are correct with respect to lactation.
A. It helps the mother in feeding new born
B. It is triggered by foetal ejection reflex
C. Mammary glands start producing milk towards the end of pregnancy
D. Colostrum milk is rich in antigens.
Choose the correct answer from the options given below:

The half life for radioactive decay of C-14 is 5730 years.
A sample of tree had only 80% of C-14 left.
Estimate the age of the tree.
(log 5 = 0.698) (log 4 = 0.602)