Mathematics Tes...

If B is a non-singular matrix and A is a square matrix, then det (B^-1AB) =

m [ − 3 4 ] + n [ 4 − 3 ] = [ 10 − 11 ]

so, 3 m + 7 n =

If the probability that A and B will die within a year are p and q respectively, then the probability that only one of them will be alive at the end of the year, is

We have (n+1) white balls and (n+1) black balls. In each set the balls are numbered from 1 to (n+1). If these balls are to be arranged in a row so that two consecutive balls are of different colours, then the number of these arrangements is

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is

A fair dice is tossed repeatedly until six shows up 3 times. The probability that exactly 5 tosses are needed is

A rope of length 5 metres is tightly tied with one end at the top of a vertical pole and other end to the horizontal ground. If the rope makes an angle 300 to the horizontal, then the height of the pole is

Let the harmonic means and the geometric mean of two positive numbers be in the ratio 4 : 5. The two numbers are in the ratio

Which one of the following is a source of data for primary investigations?