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Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from point P to the point (8, 0) and the point (0, 12) is the lowest among all elements in set S. How many such points P exist in set S?
(A) 1 (B) 5 (C) 11 (D) 8 (E) 3
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Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from point P to the point (8, 0) and the point (0, 12) is the lowest among all elements in set S. How many such points P exist in set S?
(A) 1 (B) 5 (C) 11 (D) 8 (E) 3
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1) Natural Number which is actually positive Integers and Whole number (Non-Negative Integers) are not the Terms that GMAT uses 2) Abscissa which is used for X-axis and Ordinate which is a term used for Y- Axis are not the terms used by GMAT 3) GMAT alays gives the options in Increasing/Decreasing order
For the Answer of the question, P should either be the midpoint of the two given points or P should lie on point (8, 0) or P should lie on point (0, 12)
Hence 3 possibilities of point P
Answer: option E
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.