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# Set S contains points whose abscissa and ordinate are both natural

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Joined: 03 Mar 2018
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Set S contains points whose abscissa and ordinate are both natural  [#permalink]

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15 Apr 2018, 00:05
00:00

Difficulty:

65% (hard)

Question Stats:

29% (01:33) correct 71% (03:37) wrong based on 14 sessions

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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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Re: Set S contains points whose abscissa and ordinate are both natural  [#permalink]

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15 Apr 2018, 01:18
itisSheldon wrote:
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

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

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Re: Set S contains points whose abscissa and ordinate are both natural   [#permalink] 15 Apr 2018, 01:18
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