In the xy-plane shown, the shaded region consists of all points that lie above the graph of y=x^2 – 4x and below the the x-axis. Does the point (a,b) (not shown) lie in the shaded region if b<0?
(1) 0 < a < 4
(2) a^2 – 4a < b
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are not sufficient.
Correct Answer: B
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You’ll find tons of practice questions, explanations for GMAT Official Guide questions, and strategies on our GMAT Question of the Day page.
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And a very challenging word problem from the Official Guide. Almost no-one gets this one on the first try but there is a somewhat simple way through it:
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Here’s an exponents puzzle that comes up a lot in GMAT tutoring sessions:
This is one of the most difficult questions in the GMAT universe. That said, there is a simple way to solve it that relies on a fundamental divisibility rule every GMAT studier should know:
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