LulaBrazilia wrote: ↑Tue Mar 11, 2014 7:03 pm
If y is greater than 110 percent of x, is y greater than 75?
1) x > 75
2) y-x = 10
Solution:
Question Stem Analysis:
We need to determine whether y is greater than 75, given that it’s greater than 110% of x.
Statement One Alone:
Since x > 75 and y > 1.1x, then y > 1.1(75) = 82.5. Since y > 82.5, then y > 75. Statement one alone is sufficient.
Statement Two Alone:
Since y = x + 10 and y > 1.1x, we have:
x + 10 > 1.1x
10 > 0.1x
100 > x
We see that x < 100. However, we can’t determine whether y > 75. For example, if x = 70, then y = 1.1x = 77. However, if x = 60, then y = 1.1x = 66. In the former case, y > 75; in the latter case, y < 75. Statement two alone is not sufficient.
Answer: A
