P is a point outside the circle with centre O. If a straight line drawn through P intersects the circle at points A and B such that and 900 < ∠AOB < 1200, which of the following could be the radius (in cm) of the circle?
Correct Answer : C
A cat, which is sitting inside a tunnel PQ, at a distance of 50 m from the end P, notices a train approaching the end P of the tunnel from the outside. Now, if the cat runs towards the end P, then the train would meet it exactly at P. If the cat runs towards the end Q instead, then the train would meet it exactly at Q. Which of the following is not a possible value of the length PQ (in m) of the tunnel?
There are 8436 steel balls, each with a radius of 1 centimeter, stacked in a pile, with 1 ball on top, 3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on. The number of horizontal layers in the pile is
A rectangle ABCD, when rolled such that the two lengths AB and CD coincide becomes a cylinder of volume C1. Similarly, when it is rolled such that the two breadths AD and BC coincide, it becomes a cylinder of volume C2. If a square of the same area is rolled in a similar manner along one of its sides, a cylinder of volume C3 is formed. Which of the following statements holds true?