Ravish rowed 40 km downstream in 2 hrs 30 min and returned to the starting point in 5 hrs . What is the speed of the current ?

Which of the following are NOT correct about "Sinking Fund"?
(A) It does not have any specific purpose.
(B) It can be used in any emergency.
(C) Any amount, any time can be deposited in it.
(D) It is set up for a particular upcoming expense.
Choose the correct answer from the options given below:

If \(X\) is normal distribution random variable with mean \(\mu=10\) and standard deviation \(\sigma=2, Z\) is standard normal variable and \(F(Z)\) is cumulative distribution function, then which of the following are true?
[Given that \(F(1.5)=0.9332, F(3)=0.9986, F(2.25)=0.9878\) and \(F(1)=0.8413\) ]
(A) \(P(X<13)=0.9332\)
(B) \(P(X>16)=0.9986\)
(C) \(P(12<X<14.5)=0.1465\)
(D) \(P(X>8)=0.8413\)
Choose the correct answer from the options given below:

The corner points of the feasible region of LPP \(x+y \leq 200, y \geq 4 x, x \geq 20, x \geq 0, y \geq 0\) are :
(A) \((20,180)\)
(B) \((40,180)\)
(C) \((20,80)\)
(D) \((40,80)\)
(E) \((40,160)\)

If A is a skew-symmetric matrix of order n, then

In context of Alligation and mixture the ratio of quantity of cheaper ingredient to the quantity of dearer ingredient =

If the minimum value of \(a\) is \(-\frac{k}{2}\), such that the function \(f(x)=x^2+a x+5\) is increasing in \([1,2]\). Then value of \(k\) is

Which of the following is not based on total internal reflection?

In the nuclear decay given below, the particles emitted in the sequence are:

A pure inductor of 70 mH is connected to a source of 220 V. The frequency of the source is 50 Hz. The current in the circuit is:

There exists a horizontal magnetic field in space of value \( B = 9 \times 10^{-4} \text{ T} \). A magnetic bar of magnetic moment \( M = 9 \times 10^3 \text{ J/T} \) is placed at an angle \( \theta_i = 60^\circ \) to the field and is free to rotate. Finally, it comes to a position parallel to the field. Work done by magnetic field on the magnetic bar will be

Answer the question on the basis of passage given below :
One of the notable features of the transition element is the great variety of oxidation states it may show in its compounds. The elements which give the greatest number of oxidation states occur in or near the middle of the series. Manganese, for example exhibits all the oxidation states from +2 to +7. The lesser number of oxidation states at the extreme ends is either due to losing or sharing of few electrons (Sc, Ti) or too many d electrons of higher valence. Early in the first series scandium (II) is virtually unknown and titanium (IV) which is more stable than Ti (III) or Ti (II). On the other end, the only oxidation state of zinc is \(+ 2\).
Fe shows extra stability as \(Fe ^{3+}\) due to:

On passing ammonia gas through a solution of copper sulphate, a deep blue solution is obtained.
The deep blue colour of the solution is due to the formation of :