(1) 59 students in the class are exactly 30 years of age each.Without knowing the age of the one other student it is impossible to workout whether the average age of the students is greater than 30.
INSUFFICIENT(2) The average age of 5 of the students in the class is less than 30 years.Without knowing the ages of the other 55 students one cannot determine whether the classes average age is greater than 30.
INSUFFICIENT(1+2)For the average to be greater than 30, the sum of the ages needs to exceed (60*30) 1800.
From statement 1 one knows that 59 of the students are 30 years old. Statement 2 then shows that the age of the one student excluded in statement 1 is younger than 30. If all the ages, bar one, are 30 and the last one is under 30 then the sum will never exceed 1800. Therefore, the average age is below 30.
SUFFICIENT
ANSWER C