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 x is a nonzero number, which of the three numbers x, 1/x and x^2 is greatest?
- If x/y = 2/3 , then (x-y)/x =
- Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced…
- If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+1) for all positive integers…
- The outside of the rectangular box represented in the figure above is to be decorated by attaching pieces of…