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Updated on: 06 May 2020, 02:29
Originally posted by EMPOWERgmatRichC on 22 Oct 2015, 20:03.
Last edited by Bunuel on 06 May 2020, 02:29, edited 2 times in total.
Last edited by Bunuel on 06 May 2020, 02:29, edited 2 times in total.
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
22% (02:20) correct
78%
(01:56)
wrong
based on 323
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Not Attempted Yet
QUANT 4-PACK SERIES Problem Solving Pack 1 Question 3 Three circles with radii...
Three circles with radii of 2 cm, 3 cm and 5 cm, respectively are on the same plane. If the centers of the three circles are all on the same line and each circle is tangent to at least one of the other two circles, then what is the shortest possible distance, in cm, between the center of the largest circle and the center of the smallest circle?
A) 0
B) 1
C) 3
D) 7
E) 13
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OA, and explanation will be posted after the 48 hour window closes.
This question is part of the Quant 4-Pack series
Three circles with radii of 2 cm, 3 cm and 5 cm, respectively are on the same plane. If the centers of the three circles are all on the same line and each circle is tangent to at least one of the other two circles, then what is the shortest possible distance, in cm, between the center of the largest circle and the center of the smallest circle?
A) 0
B) 1
C) 3
D) 7
E) 13
48 Hour Window Answer & Explanation Window
Earn KUDOS! Post your answer and explanation.
OA, and explanation will be posted after the 48 hour window closes.
This question is part of the Quant 4-Pack series
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,325
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
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Updated on: 29 Oct 2015, 03:49
Originally posted by ENGRTOMBA2018 on 23 Oct 2015, 04:58.
Last edited by ENGRTOMBA2018 on 29 Oct 2015, 03:49, edited 1 time in total.
Last edited by ENGRTOMBA2018 on 29 Oct 2015, 03:49, edited 1 time in total.
Updated the attached picture
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EMPOWERgmatRichC
As this question asks us to find the smallest value, we will start from the top and keep eliminating answers.
Option A: 0, this is not possible as this would mean that the smallest and largest circles are concentric and hence both can not be tangent to each other or to the 3rd circle. Eliminate.
Option B: 1, The figure above shows 1 possible arrangement. We can clearly see that the distance AB must be less than the radius of the smallest circle (=2), making 1 as the correct answer.
No need to spend time on other options.
B is the correct answer.
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10-29-15 6-40-32 AM.jpg [ 14.28 KiB | Viewed 12147 times ]
General Discussion
camlan1990
Joined: 11 Sep 2013
Last visit: 19 Sep 2016
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Given Kudos: 26
Schools: Kenan-Flagler '17 SMU '17 McCombs '19
23 Oct 2015, 00:25
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EMPOWERgmatRichC
A) 0 when the center of the largest is that of the smallest => both these circle must be tangent with the second big one => This situation cannot happen => Cross out this ans
B) 1 This situation cannot satisfy the biggest adn the smallest are both tangent with the second one. Hope you can imagine this situation in ur head => Cross out this
C) 3 => the biggest is tangent with the smallest and the smallest is inside the biggest => Both these circle can be tangent with the second one => THIS SITUATION CAN HAPPEN => CHOOSE THIS ANSWER
Because the question asks the shortest distance so I will not check the ans D, E
Ans: C
