# GMAT Question of the Day (Apr 26): Coordinate Geometry and Critical Reasoning

- Apr 26, 02:00 AM Comments [0]

Math (PS)

What is the least possible distance between a point on the circle $x^2 + y^2 = 1$ and a point on the line $y = \frac{3}{4}x - 3$ ?

(A) $1.4$
(B) $\sqrt{2}$
(C) $1.7$
(D) $\sqrt{3}$
(E) $2.0$

Question Discussion & Explanation

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Verbal (CR)

Police statistics have shown that automobile antitheft devices reduce the risk of car theft, but a statistical study of automobile theft by the automobile insurance industry claims that cars equipped with antitheft devices are, paradoxically, more likely to be stolen than cars that are not so equipped.

Which one of the following, if true, does the most to resolve the apparent paradox?

(A) Owners of stolen cars almost invariably report the theft immediately to the police but tend to delay notifying their insurance company, in the hope that the vehicle will be recovered.
(B) Most cars that are stolen are not equipped with antitheft devices, and most cars that are equipped with antitheft devices are not stolen.
(C) The most common automobile antitheft devices are audible alarms, which typically produce ten false alarms for every actual attempted theft.
(D) Automobile owners who have particularly theft-prone cars and live in areas of greatest incidence of car theft are those who are most likely to have antitheft devices installed.
(E) Most automobile thefts are the work of professional thieves against whose efforts antitheft devices offer scant protection.

Question Discussion & Explanation

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