November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. November 17, 2018 November 17, 2018 09:00 AM PST 11:00 AM PST Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 01 Feb 2013
Posts: 9
Location: United States
Concentration: Finance, Technology
GPA: 3
WE: Analyst (Computer Software)

If x is a member of the set {a, b, c, d}
[#permalink]
Show Tags
25 Mar 2013, 12:13
Question Stats:
70% (01:08) correct 30% (01:25) wrong based on 378 sessions
HideShow timer Statistics
a = 1,743.152 b = 2,621.073 c = 3,280.795 d = 1,406.927 If x is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of x? (1) The hundredths digit of x is greater than 6. (2) The thousandths digit of x is less than 4. This took me 4 min and 24 sec to figure out, do anyone have some tips to speed the whole up? Question difficulty "Hard" in GMATPrep. C
Explanation: (1) It is given that the hundredths digit of x is greater than 6. Since the hundredths digit of a, b, c, and d are, respectively, 5, 7, 9, and 2, it follows that x could be b or c (but not a or d); NOT sufficient.
(2) It is given that the thousandths digit of x is less than 4. Since the thousandths digits of a, b, c, and d are, respectively, 2, 3, 5, and 7, it follows that x could be a or b (but not c or d); NOT sufficient.
Given (1) and (2) together, only x = b is possible; SUFFICIENT
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Goal: 25 KUDOZ and higher scores for everyone!




Math Expert
Joined: 02 Sep 2009
Posts: 50619

If x is a member of the set {a, b, c, d}
[#permalink]
Show Tags
26 Mar 2013, 01:23
tulsa wrote: a = 1,743.152 b = 2,621.073 c = 3,280.795 d = 1,406.927 If x is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of x? (1) The hundredths digit of x is greater than 6. (2) The thousandths digit of x is less than 4. This took me 4 min and 24 sec to figure out, do anyone have some tips to speed the whole up? Question difficulty "Hard" in GMATPrep. C
Explanation: (1) It is given that the hundredths digit of x is greater than 6. Since the hundredths digit of a, b, c, and d are, respectively, 5, 7, 9, and 2, it follows that x could be b or c (but not a or d); NOT sufficient.
(2) It is given that the thousandths digit of x is less than 4. Since the thousandths digits of a, b, c, and d are, respectively, 2, 3, 5, and 7, it follows that x could be a or b (but not c or d); NOT sufficient.
Given (1) and (2) together, only x = b is possible; SUFFICIENT Very easy question if you know that there is a difference between THOUSANDS and THOUSANDTHS or between HUNDREDS and HUNDREDTHS. 1234.567 1  THOUSAND S2  HUNDRED S3  TEN S4  UNITS .  decimal point 5  TEN THS6  HUNDRED THS7  THOUSAND THS
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  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




VP
Status: Far, far away!
Joined: 02 Sep 2012
Posts: 1073
Location: Italy
Concentration: Finance, Entrepreneurship
GPA: 3.8

Re: If x is a member of the set {a, b, c, d}
[#permalink]
Show Tags
25 Mar 2013, 12:30
If x is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of x? (1) The hundredths digit of x is greater than 6. (2) The thousandths digit of x is less than 4. a = 1,74 3.152 (2)b = 2,62 1.073 (2)c = 3,28 0. 795 (1) (2)d = 1,406. 927 (1)Statement 1 identifies 2 numbers, the second identifies 3 numbers , so taken alone they are not sufficient The only number that matches both 1 and 2 is C, so taken together they are sufficient C
_________________
It is beyond a doubt that all our knowledge that begins with experience.
Kant , Critique of Pure Reason Tips and tricks: Inequalities , Mixture  Review: MGMAT workshop Strategy: SmartGMAT v1.0  Questions: Verbal challenge SC III CR New SC set out !! , My QuantRules for Posting in the Verbal Forum  Rules for Posting in the Quant Forum[/size][/color][/b]



Veritas Prep GMAT Instructor
Joined: 11 Dec 2012
Posts: 313

Re: If x is a member of the set {a, b, c, d}
[#permalink]
Show Tags
25 Mar 2013, 15:39
Zarrolou wrote: If x is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of x?
(1) The hundredths digit of x is greater than 6. (2) The thousandths digit of x is less than 4.
a = 1,743.152 (2) b = 2,621.073 (2) c = 3,280.795 (1) (2) d = 1,406.927 (1)
Statement 1 identifies 2 numbers, the second identifies 3 numbers , so taken alone they are not sufficient
The only number that matches both 1 and 2 is C, so taken together they are sufficient
C Hi Zarrolou, beware that you're using hundreds and thousands when the question is asking for hundredths and thousandths. The funny thing is that you have the correct answer (choice C) but it's not the correct element that satisfies both conditions (2,621.073) aka two thousand six hundred and twenty one and 73 thousandths. If you're unsure what I mean, look at the digits identified in the OA. Herein lies one of the greatest double edged swords of the GMAT. Understanding the question is paramount to answering the correct question, but the exam is formulated in such a way to make deciphering what is being asked part of the challenge. On the flip side, sometimes you get the right answer for the wrong reasons, which is just as valid an answer on test day as a well thought out solution. It's typical GMAT, the hundreds and thousands digits will often be assumed to be the 3rd and 4th digits from the end of a number, and the notation hundredths and thousandths rarely comes up, so many people will jump directly to the trap digits. In this case the trap yields the same overall answer choice, so we dodged a bullet on that one! Hope this helps! Ron
_________________
Ron Awad Veritas Prep  GMAT Instructor Save $100 on Veritas Prep GMAT Courses and Admissions Consulting Services Veritas Prep Reviews



Current Student
Joined: 09 Jul 2013
Posts: 24
Location: United States (WA)
GPA: 3.65
WE: Military Officer (Military & Defense)

Re: If x is a member of the set {a, b, c, d}
[#permalink]
Show Tags
17 Nov 2013, 16:00
a = 1,743.152 b = 2,621.073 c = 3,280.795 d = 1,406.927
If x is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of x?
(1) The hundredths digit of x is greater than 6. (2) The thousandths digit of x is less than 4.
Rephrasing: X is a, b, c, or d. Which one of those values is X?
1) Hundredths digit is greater than 6.... That leaves b (2,621.073) or c (3,280.795). Insufficient.
2) Thousandths digit if less than 4... That leaves b (2,621.073) or a (1,743.152). Insufficient.
1&2) b is the only number that satisfies both clues. Sufficient. Answer is C.



Manager
Joined: 18 Oct 2013
Posts: 72
Location: India
Concentration: Technology, Finance
Schools: Duke '16, Johnson '16, Kelley '16, Tepper '16, Marshall '16, McDonough '16, Insead '14, HKUST '16, HSG '15, Schulich '15, Erasmus '16, IE April'15, Neeley '15
GMAT 1: 580 Q48 V21 GMAT 2: 530 Q49 V13 GMAT 3: 590 Q49 V21
WE: Information Technology (Computer Software)

Re: If x is a member of the set {a, b, c, d}
[#permalink]
Show Tags
20 Dec 2013, 05:55
Really a tricky and easy question . If understand the concept can be done in 30 seconds otherwise took infinite time. Better to guess in 2 min and move on.
X is one of the value out of a,b,c & d.
1) Hundredths digit is greater than 6.... That leaves b (2,621.073) or c (3,280.795). Insufficient.
2) Thousandths digit if less than 4... That leaves b (2,621.073) or a (1,743.152). Insufficient.
1+2) The only given number is b which satisfies both conditions. Hence C is the answer.



SVP
Joined: 06 Sep 2013
Posts: 1745
Concentration: Finance

Re: If x is a member of the set {a, b, c, d}
[#permalink]
Show Tags
07 Jan 2014, 08:19
tulsa wrote: a = 1,743.152 b = 2,621.073 c = 3,280.795 d = 1,406.927 If x is a member of the set {a, b, c, d}, where a, b, c, and d are the numbers shown above, what is the value of x? (1) The hundredths digit of x is greater than 6. (2) The thousandths digit of x is less than 4. This took me 4 min and 24 sec to figure out, do anyone have some tips to speed the whole up? Question difficulty "Hard" in GMATPrep. C
Explanation: (1) It is given that the hundredths digit of x is greater than 6. Since the hundredths digit of a, b, c, and d are, respectively, 5, 7, 9, and 2, it follows that x could be b or c (but not a or d); NOT sufficient.
(2) It is given that the thousandths digit of x is less than 4. Since the thousandths digits of a, b, c, and d are, respectively, 2, 3, 5, and 7, it follows that x could be a or b (but not c or d); NOT sufficient.
Given (1) and (2) together, only x = b is possible; SUFFICIENT Actually I would rate this question on a 500600 level See all one has to do is play with the constraints. Eventually with both statements together one will realize that only B is possible Cheers! J



Intern
Joined: 29 Jun 2014
Posts: 6

If x is a member of the set {a, b, c, d}
[#permalink]
Show Tags
05 Feb 2015, 20:26
I got C very quickly but then I further complicated the question unnecessarily!! a = 1,743.152 b = 2,621.073 c = 3,280.795 d = 1,406.927 (1) The hundredths digit of x is greater than 6. > gives b and c (2) The thousandths digit of x is less than 4. > gives a and b But then I thought > c can be rounded to 3280.8 (nearest tenth) and that would change the hundredths digit to 0, so in statement (1) we are left with only b!! And I marked the answer A Well, one example of too much thinking can get you wrong answer! Just one question, unless statements specify about rounding, we shouldn't round them > is that correct?



Math Expert
Joined: 02 Sep 2009
Posts: 50619

Re: If x is a member of the set {a, b, c, d}
[#permalink]
Show Tags
06 Feb 2015, 04:04
anuprita13 wrote: I got C very quickly but then I further complicated the question unnecessarily!! a = 1,743.152 b = 2,621.073 c = 3,280.795 d = 1,406.927 (1) The hundredths digit of x is greater than 6. > gives b and c (2) The thousandths digit of x is less than 4. > gives a and b But then I thought > c can be rounded to 3280.8 (nearest tenth) and that would change the hundredths digit to 0, so in statement (1) we are left with only b!! And I marked the answer A Well, one example of too much thinking can get you wrong answer! Just one question, unless statements specify about rounding, we shouldn't round them > is that correct? Yes, you should not round a number if you are not told to do so.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  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



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12871
Location: United States (CA)

Re: If x is a member of the set {a, b, c, d}
[#permalink]
Show Tags
20 Dec 2017, 16:26
Hi All, This question is really just about 'math vocabulary' and paying careful attention to the numbers that we're given to work with. We're told that X is one of the four listed values. We're asked for the value of X. 1) The HUNDREDTHS digit of X is greater than 6. This Fact narrows down the options to 2 possibilities: B and C  but we don't know which one is X. Fact 1 is INSUFFICIENT 2) The THOUSANDTHS digit of X is less than 4. This Fact narrows down the options to 2 possibilities: A and B  but we don't know which one is X. Fact 2 is INSUFFICIENT Combined, we now have to look for the 'overlap'  the option(s) that 'fit' BOTH Facts. Based on our prior work, there's ONLY one possibility: value B. Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****




Re: If x is a member of the set {a, b, c, d} &nbs
[#permalink]
20 Dec 2017, 16:26






