GMAT Question of the Day (Jan 3): Arithmetic and Critical Reasoning

Math (PS)

What is $\frac{1}{2} + \big(\frac{1}{2}\big)^2 + \big(\frac{1}{2}\big)^3 + \dots + \big(\frac{1}{2}\big)^{20}$ between?

(A) $\frac{1}{2}$ and $\frac{2}{3}$
(B) $\frac{2}{3}$ and $\frac{3}{4}$
(C) $\frac{3}{4}$ and $\frac{9}{10}$
(D) $\frac{9}{10}$ and $\frac{10}{9}$
(E) $\frac{10}{9}$ and $\frac{3}{2}$

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Verbal (CR)

Some geologists argue that if oil is as common in unsampled areas of the world as it is in those already sampled, our current estimate of reserves that exist underground must be multiplied by a factor of 10,000. From this we can conclude that we can meet the oil needs of the entire world for at least five centuries, even assuming that future consumption grows at an accelerating rate.

To reach the stated conclusion, the author must assume which of the following?

(A) It is possible to recover the oil contained in unexplored areas of the world
(B) The consumption rate for oil will not grow rapidly
(C) Oil will remain an important energy source for at least 500 years
(D) The world will achieve and maintain zero population growth
(E) New technology will make oil discovery and drilling more feasible than ever before

Answers to the questions: D, A
For explanations please see these threads: math and verbal

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