If A is a square matrix of order 3 and |A| = 5, then | adj A| is:

If \(P\left[\begin{array}{lll}1 & 2 & 3 \\ 4 & 5 & 6\end{array}\right]=\left[\begin{array}{ccc}-7 & -8 & -9 \\ 2 & 4 & 6\end{array}\right]\), then matrix \(P\) is equal to :

If \(f(x)=|x|+|x-5|\), then which of the following statements are TRUE?
(A) \(f\) is a continuous function everywhere
(B) \(f\) is a continuous function except x = 5 and x = 0
(C) \(f\) is a continuous function except x = 0 but not differentiable at x = 5
(D) \(f\) is a continuous function everywhere but not differentiable at x = 0 and x = 5
Choose the correct answer from the options given below:

If \(f(x)=\frac{1}{2 x+1}, x \neq-\frac{1}{2}\), then \(f[f(x)]\) is :

The ratio of the speeds of a motor boat and that of the current of water is \(26: 4\). The boat goes certain distance against the current in 6 hrs . The time taken by the boat to come back is ___________

Match List-I with List-II
Let A and B are two events such that \(P ( A )=0.8, P ( B )=0.5, P ( B \mid A )=0.4\)

List-I	List-II
(A) \(P(A \cap B)\)	(I) 0.2
(B) \(P(A \mid B)\)	(II) 0.32
(C) \(P(A \cup B)\)	(III) 0.64
(D) \(P\left(A^{\prime}\right)\)	(IV) 0.98

Choose the correct answer from the options given below:

The corner points of the feasible region with the constraints \(x+y \leq 30, x+y \geq 15, y \leq 20, x \leq 15\), and \(x, y \geq 0\) are

Which one of the following statements is correct about Saccharomyces cerevisiae?

If \(y=\log x^5\), then \(\frac{d^2 y}{d x^2}\) is given by :

Choose the correct products formed in acidic medium.
\(5 \mathrm{SO}_3^{2-}+2 \mathrm{MnO}_4^{-}+6 \mathrm{H}^{+} \rightarrow ?\)

Read the passage carefully and answer the questions
The coordination compounds are of great importance. These compounds are widely present in the mineral, plants and animal world and are known to play many important functions in the area of analytical chemistry, metallurgy, biological systems, industry and medicine. For example, coordination compounds find use in many qualitative and quantitative chemical analysis. Some important metal extraction and purification make use of complex formation. Hardness of water can be estimated by stable complex formation of Ca\(^{2+}\) and Mg\(^{2+}\)
From which coordination complex, gold is recovered by reducing this complex with Zn ?

A man rows 24 km upstream in 6 hours and 36 km downstream in 6 hours each time, then the speed of the boat in the still water is

An object of length 2.0 cm is placed at a distance of 1.5 f from a concave mirror where f is the magnitude of the focal length of the mirror. The length of the object is perpendicular to the principal axis. The length of the image will be