Box I contains 30 cards numbered I to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and a card is drawn from it. The number on the card is found to be a non-prime number. The probability that the card was drawn from Box I is :
If |x| < 1, |y| < 1 and x y, then the sum to infinity of the following series (x + y) + (x2 + xy + y2) + (x3 + x2y + xy2 + y3) + ..... is :
A.
If p(x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a local minimum value 4 at x = 2; then p(0)is equal to
- 24
- 12
6
12
A line parallel to the straight line 2x – y = 0 is tangent to the hyperbola at the point (x1, y1). Then is equal to :
10
5
8
6
The contrapositive of the statement “If I reach the station in time, then I will catch the train” is:
If I will catch the train, then I reach the station in time.
If do not reach the station in time, then I will not catch the train
If I do not reach the station in time,then I will catch the train.
If I will not catch the train, then I do not reach the station in time.