Find the least number which when subtracted from 10.000327 is a perfect square.

Tarun and Uday together can complete a piece of work in 16 days; Uday and Vivek together can complete the work in 28 4/5 days; while Tarun and Vivek together can complete the work in 18 days. In how many days can Tarun alone complete the work?

What is the discount rate of a gift whose selling price is Rs. 420 after a reduction of Rs. 60 on its marked price ?

The area of a square is 1764 cm² . The length of a rectangle is 4/7 of the side of the square and breadth of the rectangle is half its length. What is the perimeter of the rectangle?

A man can swim at the rate of 3 km/hr. in still water. Then, if speed of the stream is 2 km/hr., then in what time he will cover a total distance of 5 km in with the stream and against the stream?

If D and E are the mid-points of the side AB and AC respectively of the ∆ABC in the figure given here, the shaded region of the triangle is what percent of the whole triangular region?

Present ages of father and the son are in the ratio of 6 :1 respectively. 4 year hence the ratio of their ages will become 4:1 respectively. What is the son's present age ? 

What is the measure of the circum radius of a triangle whose sides are 9cm, 40cm and 41cm?