The marks obtained by five students in a test of Applied Mathematics carrying 100 marks are 49,58,67,92,99. Then the point estimate of the population mean is

What sum of money is needed to invest now, so as to get ₹5000 at the beginning of every month forever, if the money is worth \(6\%\) per annum compounded monthly?

The value of \(\left|\begin{array}{cc}\log _5 10 & 2 \\ 2 & \log _{10} 5\end{array}\right|\) is

The sum of the minor and the cofactor of the element 6 in the determinant \(\Delta=\left|\begin{array}{lll}2 & 3 & 1 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{array}\right|\) is:

The mean of the number of heads in a simultaneous toss of three coins is :

The area of the region \(\left\{(x, y): x^2+y^2 \leq 1 \leq x+y\right\}\) is

Let \(y=\sin \left(\cos x^2\right)\), then the value of \(\frac{d y}{d x}\) at \(x=\frac{\sqrt{\pi}}{2}\) is equal to:

Which of the following reactions has a positive \(\Delta S^{\circ}\) value?

Read the passage carefully and answer the questions based on the passage:
Species diversity on earth is not uniformly distributed. It is generally highest in the tropics and decreases towards the poles. Earth's fossil history reveals the incidences of mass extinctions in the past. Earth's rich biodiversity is vital for the very survival of mankind. It is believed that communities with high diversity tend to be less variable and more productive. The reasons of conserving biodiversity are narrowly utilitarian, broadly utilitarian and ethical. Biodiversity conservation may be in-situ as well as ex-situ.
Which one of the following does not exhibit narrowly utilitarian argument for conserving biodiversity?

In a typical angiosperm, the mature embryo sac is:

The slope of normal to the curve \(y=3 x^2-6 x\) at \(x=0\) is:

Three identical resistors are connected first in series to an electrical voltage V. Let I be the total current flowing in the circuit. These resistors are disconnected and again connected in parallel with the same source. Which of the following statements are true?
(A) The potential difference across each resistor is V/3 in series connection
(B) The potential difference across all three resistors in parallel connection is 3V
(C) The current flowing in each resistor in series connection is the same as I
(D) The current flowing through each resistor in parallel combination is equal to 31
Choose the correct answer from the options given below:

Transfer of genetic message from sequences of nitrogenous bases to
sequences of amino acids is called -