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Updated on: 21 Aug 2019, 13:18
Originally posted by freedom128 on 14 Aug 2019, 17:21.
Last edited by freedom128 on 21 Aug 2019, 13:18, edited 5 times in total.
Last edited by freedom128 on 21 Aug 2019, 13:18, edited 5 times in total.
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
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Question Stats:
51% (01:51) correct
49%
(02:00)
wrong
based on 61
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A person walked completely along the sides of a park beginning at midpoint of one side and making the minimum number of turns, each with the minimum number of degrees necessary. What is the sum of the degrees of all the turns that the person made?
(1) First three turns that he made are 105, 108 and 111 degrees, consecutively.
(2) The number of sides of the park is 5, all of the sides are straight, and each interior angle is less than 180 degrees.
Adapted from OG Quant 2020
(1) First three turns that he made are 105, 108 and 111 degrees, consecutively.
(2) The number of sides of the park is 5, all of the sides are straight, and each interior angle is less than 180 degrees.
Adapted from OG Quant 2020
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Updated on: 17 Aug 2019, 10:37
Originally posted by freedom128 on 14 Aug 2019, 17:39.
Last edited by freedom128 on 17 Aug 2019, 10:37, edited 3 times in total.
Last edited by freedom128 on 17 Aug 2019, 10:37, edited 3 times in total.
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(1) No information on the shape of the park is given and thus, no information on the number and characteristics of the other turns the person made is known.
NOT SUFFICIENT
(2) Given that the park has 5 straight sides and each interior angle is < 100 degrees, it follows that the park is in the shape of pentalateral.
The turns that the person made are the exterior angle of the 5 interior angles of the pentalateral. If a, b, c, d, and e are the measures of the interior angles, then the sum of the measures of the turns the person made is (180-a) + (180-b) +... +(180-e) = 900 - (a+b+c+d+e) = 540 degrees.
SUFFICIENT
Answer is (B)
Leave +1 kudo if you like the solution
NOT SUFFICIENT
(2) Given that the park has 5 straight sides and each interior angle is < 100 degrees, it follows that the park is in the shape of pentalateral.
The turns that the person made are the exterior angle of the 5 interior angles of the pentalateral. If a, b, c, d, and e are the measures of the interior angles, then the sum of the measures of the turns the person made is (180-a) + (180-b) +... +(180-e) = 900 - (a+b+c+d+e) = 540 degrees.
SUFFICIENT
Answer is (B)
Leave +1 kudo if you like the solution
Updated on: 21 Aug 2019, 13:24
Originally posted by freedom128 on 15 Aug 2019, 03:00.
Last edited by freedom128 on 21 Aug 2019, 13:24, edited 2 times in total.
Last edited by freedom128 on 21 Aug 2019, 13:24, edited 2 times in total.
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azl
I answered E as we do not know if the person is going back to the original starting point. So, the numbers of turns must be inferior or equal to 5 so the sum must be inferior or equal to 540...
Am I missing something?
Am I missing something?
Hi azl,
As the question states "A person walked completely along the sides of a park beginning at midpoint of one side", I believe that the word "completely" means the person walk forward through all the sides of the park.
BTW the explanation that I posted above is actually from OG Quant 2020.
An 
