Four dollar amounts, w, x, y, and z, were invested in a business. Which amount was greatest?
1) y < z < x
2) x was 25 percent of the total of the four investments.
Target question:
Which amount was greatest?
Statement 1: y < z < x
We are not given any information about w.
So, it could be the case that
x is the greatest, or it could be the case that
w is the greatest
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: x was 25 percent of the total of the four investments
We have no idea about w, y or z, so we cannot tell which value is the greatest.
Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 2 tells us that x = 25% of the total sum of the four values
Statement 1 tells us that y < z < x
So, we know that y and z both account for less than 25% of the sum of the four values.
Since the sum of percentages must add to 100%, we can see that w (the missing value) must account for more than 25% of the total value.
This would make w the greatest value.
Since we can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer =
C
Cheers,
Brent
