Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 26 Oct 2010
Posts: 82

Re: Problem solving  inequality  700 level [#permalink]
Show Tags
08 Aug 2011, 23:49
callingsid wrote: when n > 8 then n = 7 (can be) the criterai 6<=n is not met here Hi callingsid, You are misinterpreting the question. It's actually the other way round. What we know is true : 6 <= n <= 10 i.e. n >= 6 and n <=10 When n> 6 , n is definitely > 8 . n cannot be 7 , as n >= 6 is given to be true !



Intern
Joined: 06 May 2011
Posts: 12

Re: PS  KpE  6 [#permalink]
Show Tags
06 Oct 2011, 01:30
hello guys,
I still cannot understand why the right answer is C. I chose E. The question asks what must be true. So, as I understand it, the answer must be true in any situations.
The question states that 6 =< n =<10. The right answer: n > –8 . It means that n can be equal to 7, isn't it? It looks like the answer contradict the questions.
Can anybody explain me the logic behind the question?
The official explanation doesn't help much:
Analyze the Question: In this question we are told that n is between 6 and 10 which limits our options for variables.
Identify the Task: We need to attack each answer choice strategically looking for the answer choice that must be true and eliminating ones that may not be true.
Approach Strategically: We should start with answer choice (D) and move up the choices to see if any must be true. If answers (A) through (D) are false or only could be true, we would choose answer choice(E). Choice (D) may be true, but if 7 ≤ n ≤ 10 then this statement is not true. Choice (C) must be true because all possible values of n specified by the inequality in the question stem are greater than 8, 8 < 6 ≤ n ≤ 10. We can stop here. Answer Choice (C) is correct.
Confirm your Answer: Since the correct answer choice must be true, wrong answer choices are either false or could be true.



Intern
Joined: 18 Sep 2013
Posts: 27

Re: Problem solving  inequality  700 level [#permalink]
Show Tags
06 Dec 2013, 07:30
VeritasPrepKarishma wrote: shashankp27 wrote: bschool83 wrote: agdimple333 and zuberahmed,
What if n = 5, 0, or 5? Then answer choice B (n = –6) will fall apart.
–6 <= n <= 10 means all values between and equal to 6 and 10.
Answer choice C, n > –8 holds true for all available values of n. Hence answer is C. how does it 'fall apart' ? could you please elaborate... Focus on the question's wording: If it is true that –6 <= n <= 10, which of the following must be true? 'must be true' implies that no matter what value n takes (out of the given range), 'which of the following will definitely hold?' We have to find that option that will remain true. It is different from 'which of the following CAN be true?' i.e. which of the following is possible... Given 6 <= n <= 10 n = 6 is possible. But it will not hold for all possible values of n i.e. if n = 5, then n is not equal to 6. So 'n = 6' is not a 'must be true' condition. On the other hand, n > 8 will always be true. If n = 6, then n > 8 If n = 0, then n > 8 If n = 4, then n > 8 If n = 10, then n > 8 Hope you got the point. No matter which value n takes out of the available values, n > 8 will always be true. For every value of n, n will be more than 8. Therefore, answer will be C. GMAT loves to lay this trap. Be very careful. Make sure you understand exactly what the question is asking. Thank you for the explanation. I have a question if it says n>8 could it also mean that n could anywhere between8 and infinity. However the stem sayd that n is less than 10. Hence I got a little confused. Could you please clarify?



Math Expert
Joined: 02 Sep 2009
Posts: 39626

Re: Problem solving  inequality  700 level [#permalink]
Show Tags
06 Dec 2013, 08:17
Sam1 wrote: VeritasPrepKarishma wrote: shashankp27 wrote: how does it 'fall apart' ? could you please elaborate... Focus on the question's wording: If it is true that –6 <= n <= 10, which of the following must be true? 'must be true' implies that no matter what value n takes (out of the given range), 'which of the following will definitely hold?' We have to find that option that will remain true. It is different from 'which of the following CAN be true?' i.e. which of the following is possible... Given 6 <= n <= 10 n = 6 is possible. But it will not hold for all possible values of n i.e. if n = 5, then n is not equal to 6. So 'n = 6' is not a 'must be true' condition. On the other hand, n > 8 will always be true. If n = 6, then n > 8 If n = 0, then n > 8 If n = 4, then n > 8 If n = 10, then n > 8 Hope you got the point. No matter which value n takes out of the available values, n > 8 will always be true. For every value of n, n will be more than 8. Therefore, answer will be C. GMAT loves to lay this trap. Be very careful. Make sure you understand exactly what the question is asking. Thank you for the explanation. I have a question if it says n>8 could it also mean that n could anywhere between8 and infinity. However the stem sayd that n is less than 10. Hence I got a little confused. Could you please clarify? The stem says that \(6\leq{n}\leq{10}\). Any value of n from this range (any value of n possible) is greater than 8. Thus C is always true. Hope it's clear.
_________________
New to the Math Forum? Please read this: All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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. ,11 Mixed Questions, 12 Fresh Meat 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., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 18 Sep 2013
Posts: 27

Re: Problem solving  inequality  700 level [#permalink]
Show Tags
06 Dec 2013, 10:03
Bunuel"[quote="VeritasPrepKarishma wrote: shashankp27 wrote: how does it 'fall apart' ? could you please elaborate... Focus on the question's wording: If it is true that –6 <= n <= 10, which of the following must be true? 'must be true' implies that no matter what value n takes (out of the given range), 'which of the following will definitely hold?' We have to find that option that will remain true. It is different from 'which of the following CAN be true?' i.e. which of the following is possible... Given 6 <= n <= 10 n = 6 is possible. But it will not hold for all possible values of n i.e. if n = 5, then n is not equal to 6. So 'n = 6' is not a 'must be true' condition. On the other hand, n > 8 will always be true. If n = 6, then n > 8 If n = 0, then n > 8 If n = 4, then n > 8 If n = 10, then n > 8 Hope you got the point. No matter which value n takes out of the available values, n > 8 will always be true. For every value of n, n will be more than 8. Therefore, answer will be C. GMAT loves to lay this trap. Be very careful. Make sure you understand exactly what the question is asking. Thank you for the explanation. I have a question if it says n>8 could it also mean that n could anywhere between8 and infinity. However the stem sayd that n is less than 10. Hence I got a little confused. Could you please clarify?[/quote] The stem says that \(6\leq{n}\leq{10}\). Any value of n from this range (any value of n possible) is greater than 8. Thus C is always true. Hope it's clear.[/quote] yes it does. Thank you.



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15939

Re: If it is true that 6 =< n =<10, which of the [#permalink]
Show Tags
09 May 2015, 00:59
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Verbal Forum Moderator
Joined: 29 Apr 2015
Posts: 897
Location: Switzerland
Concentration: Economics, Finance
WE: Asset Management (Investment Banking)

Re: If it is true that 6 =< n =<10, which of the [#permalink]
Show Tags
09 May 2015, 04:06
Why is this easy question such a hot topic?
_________________
Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!
PS Please send me PM if I do not respond to your question within 24 hours.



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15939

Re: If it is true that 6 =< n =<10, which of the [#permalink]
Show Tags
13 May 2016, 12:06
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Intern
Joined: 03 Jun 2016
Posts: 10
Location: United States (VA)
Concentration: Real Estate, Finance
GMAT 1: 740 Q49 V41 GMAT 2: 700 Q47 V38 GMAT 3: 650 Q45 V35
GPA: 3.3

Re: If it is true that 6 =< n =<10, which of the [#permalink]
Show Tags
13 Jun 2016, 17:09
Bunuel wrote: The stem says that \(6\leq{n}\leq{10}\). This info is given to be true. The question asks which of the following MUST be true?
A. \(n<8\) > n can be 9, hence this might be wrong. B. \(n=6\) > we don't know the exact value of n, we just know that n is in the range \(6\leq{n}\leq{10}\). Hence this might be wrong. C. \(n>8\) > ANY value of n from the range \(6\leq{n}\leq{10}\) is more than 8, hence this info is ALWAYS true. Correct answer. D. \(10<n<7\) > n can be 8, hence this might be wrong. E. None.
Answer: C. Thank you, but what exactly is the purpose of this type of question? I understand C must be true, but since n cannot be < 6, it makes me wonder why n > 8 must be true... n cannot = 7, so why do they even ask this question?




Re: If it is true that 6 =< n =<10, which of the
[#permalink]
13 Jun 2016, 17:09



Go to page
Previous
1 2
[ 29 posts ]





Similar topics 
Author 
Replies 
Last post 
Similar Topics:


1


If 2 < x < 6, Which of the following must be true?

sankalpvishu 
1 
05 Oct 2016, 11:26 

9


If 10^(n1)< 0.000125 <10^n, what is the value of an integer n?

MathRevolution 
8 
17 Jul 2016, 05:43 



If 3x < 6, which of the following must be true?

Bunuel 
1 
28 Mar 2016, 03:51 

16


If 3<x<6<y<10, then what is the greatest possible positive integer dif

reto 
5 
04 Dec 2016, 04:08 

23


If x and y are numbers such that x <  10 and y > 6, which of the

EgmatQuantExpert 
8 
15 Sep 2016, 03:53 



