1. 
What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?



2. 
The basic oneway air fare for a child aged between 3 and 10 years costs half the regular fare for an adult plus a reservation charge that is the same on the child's ticket as on the adult's ticket. One reserved ticket for an adult costs $216 and the cost of a reserved ticket for an adult and a child (aged between 3 and 10) costs $327. What is the basic fare for the journey for an adult?



3. 
How many 3 digit positive integers exist that when divided by 7 leave a remainder of 5?



4. 
What is the equation of a circle of radius 6 units centered at (3, 2)?



5. 
In the first 1000 natural numbers, how many integers exist such that they leave a remainder 4 when divided by 7, and a remainder 9 when divided by 11?




