1. 
What is the radius of the incircle of the triangle whose sides measure 5, 12 and 13 units?



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. 
If 10, 12 and 'x' are sides of an acute angled triangle, how many integer values of 'x' are possible?



4. 
The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 15 terms of the arithmetic progression?



5. 
Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?




