A cistern can be filled by an inlet pipe in 20 hours and can be emptied by an outlet pipe in \(2 5\) hours. Both the pipes are opened. After \(1 0\) hours, the outlet pipe is closed, the total time to fill the tank is :

The function \(f(x)=\sin x(1+\cos x) ; x \in\left[0, \frac{3 \pi}{2}\right]\) will have:

The maximum value of the objective function \(Z=2 x+y\) of an LPP, subject to the constraints \(x \leq 6, y \leq 2, x-y \leq 0\), \(x \geq 0, y \geq 0\), is:

The set of values of \(x\) satisfying \(26 \equiv 5(\bmod x)\) is __________ .

If A and B are two events such that \(P(B) = \frac{3}{5}\), \(P(A|B) = \frac{1}{2}\) and \(P(A \cup B) = \frac{4}{5}\), then P(A) is equal to:

A black and a red die are rolled simultaneously. The probability of obtaining a sum greater than \(9\) , given that the black resulted in a \(5\) is:

Which of the region shown in the given figures represents the feasible region bounded by the following constraint?
\(4 x+y \geq 80,2 x+y \geq 60, x+y \leq 80, x \geq 0, y \geq 0\)

The composition of Chromate ore is :

A Bond has a coupon rate of 10\% per annum paid semi annually and the coupon payment made is ₹ 50 , so the face value of the bond is :

Read the passage carefully and answer the questions. Electrochemistry is the study involving two types of processes. One type involves the production of electricity from the energy released during a spontaneous chemical reaction. Galvanic cells like Daniel cells are used to produce electricity from the redox reaction. Nernst equation of a galvanic cell gives the relation between the standard cell potential and the concentration of the species involved in the redox reaction. The second type of study involves the cells in which electrical energy is used to bring about the chemical reactions in a non-spontaneous process. The conductance of electrolytic solution depends on many factors including the nature of the electrolyte and the dimensions of the electrolytic cell.
The conductivity of ionic electrolytic solutions does not depend on:

Pick the reactions which can be used to distinguish between n-propyl alcohol and isopropyl alcohol.
(A) Haloform reaction
(B) Dehydration
(C) Dehydrogenation with \(\mathrm{Cu} / 573 \mathrm{~K}\)
(D) Oxidation with \(\mathrm{CrO}_3\)
Choose the correct answer from the options given below:

Which one of the following diseases is non-infectious?

Which of the following statements is correct?