GMAT DS
-10, 3, 5, x, y
For the list of numbers above, what is the range?
(1) The list of numbers has exactly two modes.
(2) x does not equal y
The mode is defined as value which occurs maximum times in the set. Statement 1 says list of numbers has exactly 2 modes. What it implies?
Does it imply that x=y=2 or that there are 2 sets of repeating numbers in the set. According to the solution it is latter and not the former.
Is the solution correct? Is so why?
Yeah Nitesh.
It represents the latter, that is given list is bi-modal. A list could have multiple modes.
Mode is nothing a number(object) which repeats the number of times in the list.
Here given is 2 modes.
x, y could be, -10 and 3
x, y could be, -10 and 5
x, y could be, 3 and 5
In all the three cases, range(Max – Min) is 15.
So, statement I is sufficient.
I hope the above is clear.
Just thinking, even if you have considered the first case that is, x = y =2, still the answer is statement I sufficient. Isn’t it ? But the reasoning is not correct, but just saying.