The sum of a positive integer and its square is 2450. The positive integer is : 

Four runners started running simultaneously from a point on a circular track. They took 200 seconds, 300 seconds, 360 seconds and 450 seconds to complete one round. After how much time do they meet at the starting point for the first time? 

A goldsmith observes that one of his employees prepares a necklace in 9 hours, while another employee prepares it in 10 hours. If they work together, they stud 10 gems less every hour and thus prepare a necklace in 5 hours, then the number of gems studded in each necklace is: 

The greatest number that can be subtracted from 10000 so that the remainder may be divisible by 32, 36, 48 and 54 is-

There are four numbers in a set. The mean of the three smallest numbers is 9, whereas the mean of the three largest ones is 11. What is the range of the data set? 

The largest number, which divides 25, 73 and 97 to leave the same remainder in each case, is 

The 3rd and 8th term of an arithmetic  progression are 19 and 49 respectively. What is the 13th term?

The curved surface area of a cylindrical pillar is 264 square meter and its volume is 924 cubic meters. Find the ratio of its diameter to its height.