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23 May 2023, 01:53
Kudos
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C
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:
28% (03:18) correct
72%
(02:10)
wrong
based on 25
sessions
History
Date
Time
Result
Not Attempted Yet
Does x = 100 ?
1. All of the interior angles of a normal 5-sided figure are either x or (x + 10) degrees.
2. All of the interior angles of a normal 6-sided figure are either x or (x + 30) degrees.
1. All of the interior angles of a normal 5-sided figure are either x or (x + 10) degrees.
2. All of the interior angles of a normal 6-sided figure are either x or (x + 30) degrees.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
23 May 2023, 07:05
Kudos
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Raisakatyal
Sum of angles of n sides = (n-2)*180
You will have more than 1 value for each statement so answer will be C or E unless some statements gives a NO as an answer.
(1) Sum of Pentagon = (5-2)*180 = 540
So, if all are x, then 5x=540…..x=108
If all except one are x, then 4x+x+10=5x+10=540 or x=106
Each time we increase numbers of bigger angle x+10, the value of x decrease by 2.
Possible values = 108, 106, 104, 102, 100, 98
Insufficient
(2) Sum of Hexagon = (6-2)*180 = 720
So, if all are x, then 6x=720…..x=120
If all except one are x, then 5x+x+30=6x+30=720 or x=115
Each time we increase numbers of larger angle x+30, the value of x decrease by 5.
Possible values = 120, 115, 110, 105, 100, 95, 90
Insufficient
Combined
Only common value is x=100
Sufficient
C
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