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stonecold
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01 Apr 2016, 05:29
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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If three sides of the triangle are 8 , 15 and x respectively then the how many values can x ?
[A] 6
[B] 7
[C] 8
[D]9
[E] infinite number of values
[A] 6
[B] 7
[C] 8
[D]9
[E] infinite number of values
01 Apr 2016, 05:51
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Chiragjordan
Not a GMAT-like question.
Similar questions:
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if-10-12-and-x-are-sides-of-an-acute-angled-triangle-ho-90462.html
if-two-sides-of-a-triangle-have-lengths-2-and-5-which-of-th-163409.html
if-x-is-a-positive-integer-and-two-sides-of-a-certain-triangle-have-198540.html
26 Jun 2016, 06:30
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Given: Three sides of a Triangle are 8, 15 and X
Needed: How many Values can X take
Concept: Sum of any two sides of a triangle is greater then the third side.
Case 1: 8+5 > x => X<13
Case 2: 5+X > 8 => X >3
Case 3: 8+X > 5 => X > -3 (Always true since X is one side of a Triangle)
Finally, 3 < X < 13. So, we can have infinite number of sides between 3 and 13.
Answer = E
PS: If question said X can take only integer value, the X = 9. Answer choice D.
Needed: How many Values can X take
Concept: Sum of any two sides of a triangle is greater then the third side.
Case 1: 8+5 > x => X<13
Case 2: 5+X > 8 => X >3
Case 3: 8+X > 5 => X > -3 (Always true since X is one side of a Triangle)
Finally, 3 < X < 13. So, we can have infinite number of sides between 3 and 13.
Answer = E
PS: If question said X can take only integer value, the X = 9. Answer choice D.
