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:

The function \(f(x)=\left\{\begin{array}{ll}\frac{|x|}{x}, & \text { if } x \neq 0 \\ 0, & \text { if } x=0\end{array}\right.\) is:

A measure of an average yearly growth of an investment over a certain time period when returns are reinvested is

If \(\vec{a}=4 \hat{i}-2 \hat{j}+5 \hat{k}\) and \(\vec{b}=\hat{i}-2 \hat{j}-2 \hat{k}\) represent, both in magnitude and direction, two adjacent sides of a parallelogram, then a unit vector parallel to the diagonal, which is coinitial with \(\vec{a}\) and \(\vec{b}\), is :

Two positive numbers \(x\) and \(y\) such that \(x+y=60\) and \(x y^3\) is maximum are :

A vector \(\vec{a}\) of magnitude \(3 \sqrt{2}\) making an angle of \(\frac{\pi}{3}\) with \(\hat{i}, \frac{\pi}{4}\) with \(\hat{j}\) and an acute angle \(\theta\) with \(\hat{k}\), is :

Which one of the following statement is not correct?

If the lines \(\frac{1-x}{3}=\frac{3 y-6}{k}=\frac{3-z}{-2}\) and \(\frac{1-x}{2 k}=\frac{y-5}{3}=\frac{6-z}{5}\) are perpendicular, then \(k\) is equal to :

Match the Matrix in List - I with its Adjoint's Determinant in List - II.
List - I (Matrix A) :

LIST 1	LIST 2
(A) \(\left[\begin{array}{ll}3 & 1 \\ 4 & 2\end{array}\right]\)	(I) 9
(B) \(\left[\begin{array}{cc}5 & -1 \\ 4 & 2\end{array}\right]\)	(II) 8
(C) \(\left[\begin{array}{cc}6 & -1 \\ 2 & 1\end{array}\right]\)	(III) 14
(D) \(\left[\begin{array}{ll}4 & 1 \\ 3 & 3\end{array}\right]\)	(IV) 2

Choose the correct answer from the options given below:

The specific DNA sequence which is responsible for initiation of replication is known as:

Which of the following is correct about the nature of ligand?

Read the passage carefully and answer the Questions
The term vitamin was coined from the word vital +amine since the earlier identified compounds had amino groups. Later work showed that most of them didn't contain amino groups. They are very essential for the body. They has to be taken various diet or in the form of medicines also.
Vitamins are classified into two groups depending upon their solubility in water or fat.
Fat soluble vitamins are soluble in fat and oils but insoluble in water. Thhey are stored in liver and adipose (fat storing) tissues Water soluble vitamins are soluble in water. These must be supplied regularly in diet because they are readily excreted in urine and cannot be stored in our body.
Which among the following is not a fat soluble vitamin?

When a positive charge (+ q) is brought near one face of a metal cube, the