chetan2u
Companies A and B are part of the same industry and are located in the same city. For Company A, the average (arithmetic mean) salary of its employees, in United Arab Emirates dirhams (AED), is 10,000 AED higher than that for Company B. However, more than half of the employees at Company A have salaries below the average for Company B.
Statement: If the average salary at Company B is
___1___, then the median salary at Company A is
___2___.
Select for
1 and for
2 the options that complete the statement so that it most accurately reflects the information provided. Make only two selections, one in each column.
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. ANSWERIf 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:
For the answer choice, there exists a case where stated requirements are not met.That is if average salary and median are of an
.
For e.g. If the average salary at Company B is
t violates the requirement of Median A < Mean B.
Since this is a possible case for this option choice, your answer doesn't meet the requirement of Median A < Mean B.