Companies A and B are part of the same industry and are located in the

Sans8, that could be the perfect and the only way to solve it.
Great work.

chetan2u Why cant it be if mean is b/w 100-110 then median is less than 100? If the mean for B is b/w 100-110 it is a sufficient condition to conclude that the median of A will necessarily be less than 100.

 

The question is both - simple and tricky. The concept involved is very simple but when we go to pick options, there is a good chance that we will pick the incorrect ones because of how they are worded. Sometimes, we are specifically asked to pick two different options but not here. Hence, it is harder to think of picking the same option for both.

We are given: 
However, more than half of the employees at Company A have salaries below the average for Company B.

If more than half the employees at A have salaries lower than average salary of B, we know that
Median of A < Mean of B

If the average salary at Company B is greater than 100,000 AED, then the median salary at Company A is 100,000 AED or less. (not an option)

If the average salary at Company B is less than 100,000 AED, then the median salary at Company A is less than 100,000 AED.  Certainly True. ANSWER

If the average salary at Company B is equal to 110,000 AED, then the median salary at Company A is less than 110,000 AED (Not an option)

If the average salary at Company B is between 100,000 and 110,000 AED, then the median salary at Company A is _____
There is some confusion here. It is not mentioned whether the extreme values are inclusive or exclusive. So answer could be "less than 100,000" (an option) or "100,000 or less" (not an option).
If the average salary at Company B is between 100,000 and 110,000 AED, then the median salary at Company A is ​less than 100,000.
Hence I cannot say for sure whether this statement will be true. 


If the average salary at Company B is greater than 110,000 AED, then the median salary at Company A is 110,000 AED or less.  (Not an option)

Here is another discussion on how to solve TPA questions: 
https://youtu.be/O-iV8Vv4svY








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­Can you plz elaborate -
If the median A and mean B values become equal then the answer will not hold ,then how can we confirm that this is the correct option ,although its better than the rest