Solutions
Get detailed explanations to advanced GMAT questions.
Question
In the triangle above, is x > 90?
I. a^2 + b^2 <15
II. c > 4
Option A:
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option B:
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option C:
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
Option D:
EACH statement ALONE is sufficient to answer the question asked.
Option E:
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Difficulty Level
MediumSolution
Option C is the correct answer.
Option Analysis
Each statement alone is clearly insufficient. When taken together:
If angle x were 90 degrees than we would have a^2+b^2=4^2, since a^2+b^2<15<16 then angle x must be greater than 90 degrees (c^2 is greater than a^2+b^2 then the angel opposite c must be greater than 90).
Related Questions
- If T is a list of consecutive integers in increasing order, what is the sum of integers in T?
- Of the 500 business people surveyed, 78 percent said that they use their laptop computers at home…
- A grocery store purchased crates of 40 oranges each for $5.00 per crate and then sold each orange for $0.20. What was the store’s gross profit on each crate of oranges?
- In a certain downtown office, 40 percent of the workers are men and 60 percent are women…
- Each of 90 students participated at least 1 of the track tryouts: High jump, long jump, 100 meter dash. If 20…