Quantitative Aptitude – Arithmetic – Average


Slot – 2 – Quantitative Aptitude – Arithmetic – Average – The average of 30 integers is 5

Q. The average of 30 integers is 5. Among these 30 integers, there are exactly 20 which do not exceed 5. What is the highest possible value of the average of these 20 integers?
  1. 3.5
  2. 5
  3. 4.5
  4. 4
Answer: 4.5

Solution: Sum of all 30 integers =5*30 = 150
Minimum possible sum of remaining 10 integers = 10*6 = 60
(as all remaining 10 integers are greater than 5 so their sum will be minimum when they all are equal and each have value =6)
So some of 20 numbers = 150 – 60 = 90
Thus required avg = 90/20 = 4.5

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