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:

If the points \(( a , b ),( c , d )\) and \(( a + c , b + d )\) are collinear, then

The remainder, when \(5^{60}\) is divided by 7 , is :

For any square matrix \(A ;\left(A-A^{\prime}\right)\) is :

The number of arbitrary constants in the general solution of a differential equation with degree 1 and order 3, is

If A is an invertible matrix of order 3 × 3 then the value of |adj(A)| is:

The system of linear equations \(k x+5 y=5,2 x+3 y=5\) will be consistent if

Accelerated charges radiate electromagnetic waves. Choose the correct key features of electromagnetic waves from the following:
(A) The electric field is always parallel to the magnetic field.
(B) The electric and magnetic fields are always normal to the direction in which the wave is travelling.
(C) The electric and magnetic fields sometimes vary sinusoidally.
(D) The electric and magnetic fields vary with the same frequency.
Choose the correct answer from the options given below:

Read the passage carefully and answer the questions based on the passage:
Pollen pistil interaction involves all events from the landing of pollen grains on the stigma until the pollen tube enters the embryo sac (when the pollen is compatible). When a pollen tube grows through the style and enters into the ovules, it finally discharges two male gametes in one of the synergids. Syngamy and triple fusion are two fusion events occur in angiosperms. Thus, angiosperms exhibit double fertilization. The products of these fusions are the diploid zygote and triploid primary endosperm nucleus. Zygote develops into embryo and primary endosperm cell forms the endosperm tissue. The developing embryo passes through different stages before maturation.
Which of the following is not a stage of growing embryo in dicotyledon plants?

The quantity of charge required to obtain \(2\text{ mol}\) of \(\text{Mn}^{2+}\) from \(\text{MnO}_4^{-}\) is:

Skin colour in human being is an example of:

If the matrix A = \(\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]\), then \(A ^2\) is equal to:

A die is thrown again and again until three sixes are obtained. The probability of obtaining third six in sixth throw of the die is: