The median of a set of 11 distinct observations is 73.2. If each of the largest five observations of the set is increased by 3, then the median of the new set:

The angle of elevation of the top of a tower from the top of a building whose height is 680 m is 45° and the angle of elevation of the top of same tower from the foot of the same building is 60°. What is the height (in m) of the tower?

A person can hit a target 5 times out of 8 shots. If he fires 10 shots, what is the probability that he will the target twice?

The largest three-digit number that gives the same remainder 2 when divided by 3, 5 and 9 is ________.

Find the average of the following sets of numbers.

693, 456, 876, 532, 934, 691, 596, 398, 682

From the top of an upright pole 17.75 m high, the angle of elevation of the top of an upright tower was 60⁰. If the tower was 57.75 m tall, how far away (in m) from the foot of the pole was the foot of the tower?

What is the simplified form the expression (1+x)(1+x²)(1+x⁴)(1+x⁸)(1-x)?

The breadth ‘b’ of a room is twice its height and half of its length. Find the length of the longest diagonal of the room.