If CAGR stands for Compound Annual Growth Rate, F.V stands for final value of an investment, P.V stands for present value of an investment and \(n\) is the number of years then

The area enclosed between the graph of \(y=x^3\) and the lines \(x=0, y=1, y=8\) is

The value of the integral \(I=\int_0^1 \frac{1}{\sqrt{1+3 \sqrt{x}}} d x\) is:

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 :

The value of \(\left|\begin{array}{lll}1 & b & c+a \\ 1 & c & a+b\end{array}\right|\) is

A card is picked at random from a pack of 52 playing cards. Given that the picked card is a queen, the probability of this card to be a card of spade is:

The value of \(\int_{-5}^5|x+3|\) \(dx\) is

A constant voltage is applied across a wire of non-uniform area of cross-section. Which of the followings quantity is independent of the cross-section?

Which of the following are surgical methods of birth control?
(A) Vaults
(B) Intra Uterine Devices
(C) Vasectomy
(D) Tubectomy
(E) Coitus interruptus
Choose the correct answer from the options given below :

A person has purchased a home for Rs. 10,00,000 with a down payment of Rs. 2,00,000. He amortizes the balance at 9% per annum compounded monthly for 25 years.
Then the equal monthly instalment (EMI) is :
[Given that \(\frac{(1.0075)^{300}-1}{(0.0075)(1.0075)^{300}}=119.1616\) ]

Answer the question on the basis of passage given below :
Adsorption is a surface phenomenon which can be expressed by means of an empirical relationship know as Freundlich Adsorption isotherm. The relationship given by \(\frac{x}{m} = Kp^{\frac{1}{n}}\ (n > 1)\)
x = Mass of the gas adsorbed
m = Mass of adsorbent
p = Pressure at which adsorption takes place
K and n are constant
Choose the incorrect statement with reference to physical adsorption:

Read the paragraph given below and answer the question.
Sutton and Boveri argued that the pairing and separation of a pair of chromosomes would lead to the segregation of a pair of factors they carried. Sutton united the knowledge of chromosomal segregation with Mendelian principles and called it the chromosomal theory of inheritance. Following this synthesis of ideas, experimental verification of the chromosomal theory of inheritance by Thomas Hunt Morgan and his colleagues, led to discovering the basis for the variation that sexual reproduction produced. Morgan worked with the tiny fruit files, which were found very suitable for such studies. They could be grown on simple synthetic medium in the laboratory. They complete their life cycle in a short span of time and a single mating could produce a large number of progeny flies. Also, there was a clear differentiation of the sexes - the male and female flies are easily distinguishable. Also, it has many types of hereditary variations that can be seen with low power microscopes.
Drosophila melanogaster complete their life cycle in

If \(A=\left[\begin{array}{ccc}2 & -2 & 1 \\ 0 & 4 & 2\end{array}\right]\) and \(B=\left[\begin{array}{ccc}1 & -2 & 7 \\ 2 & 0 & 6\end{array}\right]\) are two matrices such that 3A - 2B + 4C = O, then matrix C is equal to: