Mathematics Tes...

\(A , B\) and \(C\) are three mutually exclusive and exhaustive events. \(P ( A )=2 P ( B )=6 P ( C )\), Find \(P ( B )\):

Maximize \(Z=3 x+5 y\) Subject to:

\(x+2 y \leq 20 \)

\(x+y \leq 15 \)

\(y \leq 5 \)

\(x, y \geq 0\)

If a relation R on the set {1, 2, 3} be defined by R={(1, 2)}, then R is:

The smallest natural number \(n\), such that the coefficient of \(x\) in the expansion of \(\left(x^{2}+\frac{1}{x^{3}}\right)^{n}\) is \({ }^{n} C_{23}\), is:

Find the area bounded by the curve \(y=\sqrt{x}\) and the line \(2 y=x\).

Which of the following fraction is the result of the sum of an integer and its reciprocal?

The conjugate of \(\frac{(2-\mathrm{i})(1+2 \mathrm{i})}{(3+\mathrm{i})(2-3 \mathrm{i})}\) is:

The range of the data 35, 12, 21, 24, 15, 7, 16, 12, 30, 32, 13, 17 is: