Arithmetic mean, weighted average problems.
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Q1 · Average · EASY
The average age of 5 students in a class is 14 years. If the age of the teacher is also included, the average age increases by 2 years. What is the age of the teacher?
Q2 · Average · MEDIUM
A cricketer has scored an average of 42 runs in 10 innings. How many runs must he score in his 11th innings to raise his average by 3 runs?
Q3 · Average · MEDIUM
The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
Q4 · Average · HARD
The average of 20 numbers is 40. The average of the first 12 numbers is 35 and the average of the last 9 numbers is 48. What is the 12th number?
Q5 · Average · MEDIUM
A student scores 72, 65, 80, and 78 marks in four subjects. What minimum marks must he score in the fifth subject to have an average of at least 75 marks?