Encountered this in a timed online test, only allowing 20 seconds per question:
The average (arithmetic mean) of 4 numbers is greater than 8 but less than 14. Which of the following could not be the sum of these four numbers?
Answer choices: 44, 53, 38, 31, 48
8 x 4 is 32 and 14 x 4 is 56, so the sum should be somewhere between 32 and 56, NOT inclusive, is that correct (thus the answer being 31)
I've seen a variation of this question where one of the answers was 32 itself. If the average is greater than 8, wouldn't that mean it's >32 - not inclusive?
What is this question looking for?