If \(A\) and \(B\) are square matrices of the same order, then \((A+B)(A-B)\) is equal to

Let \(P=\left[a_{i j}\right]\) be a \(3 \times 3\) matrix and let \(Q=\left[b_{i j}\right]\) where \(b_{i j}=2^{i+j} a_{i j}, \forall 1 \leq i, j \leq 3\). If the determinant of \(P\) is 2 , then the determinant of \(Q\) is:

The probability that a leap year selected at random will have 53 Mondays is

In 5 trials of binomial distribution, the probability of 3 successes is 4 times the probability of 2 successes.
The probability of success in each trial is :

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

If \(P(A) = \frac{3}{10}, P(B) = \frac{2}{5}\) and \(P(A \cup B) = \frac{3}{5}\), then \(P(B|A) + P(A|B)\) is equal to:

In a box containing 100 bulbs, 10 are defective.
The probability that out of a sample of 5 bulbs none is defective is:

The compound used as a primary standard in volumetric analysis is :

Answer the question on the basis of passage given below :
A colloid is a heterogeneous system in which a substance is dispersed (dispersed phase) as fine particles in another substance called dispersion medium.
Their particle size is intermediate between that of pure solutions (less than 1 nm) and suspensions (greater than 1000 nm). They are known for interesting properties such as enormous surface area, Tyndall effect, Brownian motion etc.
They are widely used in industries and day to day life.
Some prominent uses of colloids are those in smoke precipitators, purification of water, medicines, cleansers etc.
Which of the following electrolyte exhibits maximum flocculating power in the coagulation of a positive metal hydroxide sol?

Which one of the following approaches does not belong to ex situ conservation strategy?

Which of the following is not the correctly matched pair of organism and its respective cell wall degrading enzyme

Which among the following cause pneumonia in human ?
(A) Streptococcus pneumoniae
(B) Wuchereria bancrofti
(C) Haemophilus influenzae
(D) Salmonella typhi
Choose the correct answer from the options given below :

A cylindrical, straight long wire having radius 'a' is carrying current 'I' uniformly distributed inside the wire. As per Ampere's circuital law, the magnetic field inside the wire at any distance r, (r < a) is given by: