KeyurJoshi
Hi
CEdward, I'm not great with visualizing %/numbers within 2-minutes for Qs like these, if you dont mind can you explain the denominator and numerator scenario a bit more? so that I can apply the same in similar questions?
Sure thing.
Think about fractions. You have a numerator (X) and denominator (Y) such that X/Y
Now, there are two things you can do to the fraction, increase the size of it, or decrease its size. You can increase/decrease the size in three ways each:
Increase -
a) Increase the numerator (X) and keep the denominator (Y) constant
b) Decrease Y and keep X constant
c) Decrease Y and increase X
Decrease -
d) Decrease X and keep Y constant
e) Increase Y and keep X constant
f) Decrease X and increase Y
In this problem, the paradox is that the percentage of infected raccoons increased, yet strangely the total number of raccoons decreased. How can that be? Well, the answer is that the total number of raccoons (Y) decreased (they died in the year prior to last) and hence, the numerator X (18) represents a larger portion of the total (50%).
You should understand the distinction (and relationship) between percentages and numbers, particularly because the former can be misleading
e.g. A high percentage DOES NOT imply the involvement of a large absolute number (but it can);
Let's say the total number of students is 5 and 4 of them read so the percentage is 80%. The absolute number of individuals is very small and yet the percentage is high
e.g. A low percentage DOES NOT imply the involvement of a low absolute number (but it can)
Let's say the percentage of students who read is 80%. This can be 4/5, 400/500, 4000/5000, etc.