Q 1 ) If 2^x + 2^x + 2^x + 2^x = 2^16 what is the value of $x$?

Q 2) The lengths of two sides of a triangle are 4 and $9$. What is the greatest possible integer length of the third side?

Q 3) A car traveled $10$ miles at an average speed of 30 miles per hour and then traveled the next 10 miles at an average speed of 50 miles per hour. What was the average speed, in miles per hour, of the car for the $20$miles?

Q 4) The average (arithmetic mean) age of a group of 15 teachers is 40 years. If 6 additional teachers are added to the group, then the average age of the 21 managers is 44 years. What is the average age of the 6 additional managers?

Q 5) Let the function f be defined by f(x) = x^2 + 18. If $a$ is a positive number such that f(2a) = 3f(a), what is the value of $a$?