For the following questions answer them individually
A box contains 2 blue, 3 black and 4 red balls. Balls are drawn from the box at random one at a time without replacement. The probability of drawing 2 blue balls first followed by 3 black balls and subsequently 4 red balls is
Using trapezoidal rule and dividing the interval of integration into three equal sub intervals, the definite integral $$\int_{-1}^{+1} \mid x \mid dx$$ is
A circularring of radius 42 cm is cut and bentinto the form of a rectangle whose sides are in the ratio of 6:5. The small side of the rectangle is
A tank is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in the bottom. If the tank is full and due to leakage alone, the tank will get empty in
................. hours (Assume no further filling happens)
From a circular sheet of paper of radius 50 cm, a sector of 40% area is removed in the shape of an arc section. If the remaining part is used to make a conical surface, then the ratio of the radius to height of the cone is