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If k is an integer and 2 < k < 7, for how many different [#permalink]
 09 Jul 2012, 03:34
Question Stats:
61% (01:25) correct
38% (00:28) wrong based on 4 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectIf k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 2, 7, and k? (A) one (B) two (C) three (D) four (E) five Diagnostic Test
Question: 19
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Difficulty: 600 GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! _________________
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Re: If k is an integer and 2 < k < 7, for how many different [#permalink]
09 Jul 2012, 04:37
Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectIf k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 2, 7, and k? (A) one (B) two (C) three (D) four (E) five Diagnostic Test
Question: 19
Page: 22
Difficulty: 650 GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! Believe ans is A as k can be 3,4,5 or 6. for all cases except k=6, sum of teo sides can be less than equal to third side which should not be true As as per triangle property sum of two sides is greater than third side.
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Re: If k is an integer and 2 < k < 7, for how many different [#permalink]
09 Jul 2012, 06:20
Bunuel wrote: If k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 2, 7, and k?
(A) one
(B) two
(C) three
(D) four
(E) five
Hi, Difficulty level: 600 |7-2| < k < |7+2| or 5 < k < 9 thus k = 6, 7, 8, but 2 < k < 7 therefore, k = 6 Answer (A), Regards,
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Re: If k is an integer and 2 < k < 7, for how many different [#permalink]
13 Jul 2012, 02:59
SOLUTIONIf k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 2, 7, and k?(A) one (B) two (C) three (D) four (E) five Relationship of the Sides of a Triangle: The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.According to the above the following must be true: (7-2)<k<(7+2) --> 5<k<9. So, k could be 6, 7 or 8. Since also given that 2 < k < 7, then k=6. Hence k can take only one value: 6. Answer: A.
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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!
What are GMAT Club Tests?
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Re: If k is an integer and 2 < k < 7, for how many different [#permalink]
25 Nov 2012, 14:50
Why is it only one value?
What if 2 is the smallest side and 7 is the largest? Then, k can be 6, 7 or 8. since:
2 + 7 = 9
7 - 2 = 5
So 5 < k < 9
The problem does not specify that 2 and 7are the smaller two sides.
Last edited by morfin on 26 Nov 2012, 10:05, edited 1 time in total.
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Re: If k is an integer and 2 < k < 7, for how many different [#permalink]
26 Nov 2012, 02:05
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Re: If k is an integer and 2 < k < 7, for how many different
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26 Nov 2012, 02:05
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