Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44628

If 50,000 < x < 60,000 and x is an integer, what is x? [#permalink]
Show Tags
28 Jan 2015, 08:01
Question Stats:
74% (01:12) correct 26% (01:08) wrong based on 195 sessions
HideShow timer Statistics



Manager
Joined: 27 Oct 2013
Posts: 244
Location: India
Concentration: General Management, Technology
GMAT Date: 03022015
GPA: 3.88

Re: If 50,000 < x < 60,000 and x is an integer, what is x? [#permalink]
Show Tags
28 Jan 2015, 08:49
2
This post received KUDOS
Here we go
50,000 < x < 60,000 and x is an integer
St1: Every digit of x except its leading digit is the same.
x could be 51,111; 52,222; 53,333 and so on
Clearly not sufficient
St2: x is divisible by 6.
This can also give multiple values. So not sufficient.
Combining...
Every digit of x except its leading digit is the same, and x is divisible by 6. Simple words > X has to be multiple of 2 and 3
Possible values left
52,222 54,444 56,666 58,888
Only 54,444 is divisible by 6
Option C is correct



Senior Manager
Joined: 28 Feb 2014
Posts: 295
Location: United States
Concentration: Strategy, General Management

Re: If 50,000 < x < 60,000 and x is an integer, what is x? [#permalink]
Show Tags
28 Jan 2015, 19:03
1
This post received KUDOS
1
This post was BOOKMARKED
Bunuel wrote: If 50,000 < x < 60,000 and x is an integer, what is x?
(1) Every digit of x except its leading digit is the same.
(2) x is divisible by 6.
Kudos for a correct solution. Statement 1: x can equal: 51,111 52,222 53,333 54,444 56,666 57,777 58,888 59,999 insufficient. Statement 2: x is divisible by 6. we already know there are multiple solutions. For example, x could be 54,444 or 54,450 as they are both divisible by 6. insufficient. Combined, we know that x=54,444. Answer: C



Intern
Joined: 03 Nov 2014
Posts: 3

Re: If 50,000 < x < 60,000 and x is an integer, what is x? [#permalink]
Show Tags
28 Jan 2015, 19:23
2
This post received KUDOS
Bunuel wrote: If 50,000 < x < 60,000 and x is an integer, what is x?
(1) Every digit of x except its leading digit is the same.
(2) x is divisible by 6.
Kudos for a correct solution. Statement 1:It could be any option from 5nnnn , 1 <= n <= 9. (51111,52222,53333,..,5nnnn). Multiple answers. Insufficent.Statement 2:Any number in that range divisible by 2 and 3. For example, 51,102 (Last digit pair, and sum of digits = multiple of 3), or 51,105 (Same reasoning). Multiple answers. Insufficient. Statement 1 and 2: From Stmt 2 we know that it needs to be divisible by 2 and 3. From Stmt 1 we know that all the units after the first one repeat, so the only available option that fits is 54,444. (Last digit pair, and the sum of its units is 21, which is a multiple of 3) Answer choice: C



Current Student
Joined: 02 Sep 2014
Posts: 89
Location: United States
GPA: 3.97

Re: If 50,000 < x < 60,000 and x is an integer, what is x? [#permalink]
Show Tags
28 Jan 2015, 22:17
2
This post received KUDOS
Bunuel wrote: If 50,000 < x < 60,000 and x is an integer, what is x?
(1) Every digit of x except its leading digit is the same.
(2) x is divisible by 6.
Kudos for a correct solution. Answer = C. 1) Clearly not sufficient. 51111, 52222.... many solutions 2) Also not sufficient... several number divisible by 6. Combining the two, we can have only 4 possibilities 52222 54444 56666 58888 To be divisible by 6, number should be even and divisible by 3  which only 58888 is in the above list. So answer = C.



Senior Manager
Joined: 28 Feb 2014
Posts: 295
Location: United States
Concentration: Strategy, General Management

Re: If 50,000 < x < 60,000 and x is an integer, what is x? [#permalink]
Show Tags
28 Jan 2015, 22:36
2
This post received KUDOS
Note: 58,888 is not divisible by 3 or 6
Posted from my mobile device



Current Student
Joined: 02 Sep 2014
Posts: 89
Location: United States
GPA: 3.97

Re: If 50,000 < x < 60,000 and x is an integer, what is x? [#permalink]
Show Tags
28 Jan 2015, 22:57
peachfuzz wrote: Note: 58,888 is not divisible by 3 or 6
Posted from my mobile device Aaah I feel stupid. It is 54444  total = 21 so divisible by 3 and is also even. Either way answer is still C. Thanks.



Math Expert
Joined: 02 Sep 2009
Posts: 44628

Re: If 50,000 < x < 60,000 and x is an integer, what is x? [#permalink]
Show Tags
02 Feb 2015, 03:37
Bunuel wrote: If 50,000 < x < 60,000 and x is an integer, what is x?
(1) Every digit of x except its leading digit is the same.
(2) x is divisible by 6.
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTION:From S1, we could have 51,111 or 52,222 or 53,333, etc. INSUFFICIENT From S2, we could have 50,004 or 50,010, etc. INSUFFICIENT Combining the statements however, we must have a number that is EVEN and whose digits sum to a multiple of 3. Of the four potential even numbers (52,222, 54,444, 56,666, and 58,888), the only number that divides by 3 is 54,444. Hence the two statements together are SUFFICIENT.
_________________
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



NonHuman User
Joined: 09 Sep 2013
Posts: 6658

Re: If 50,000 < x < 60,000 and x is an integer, what is x? [#permalink]
Show Tags
19 Nov 2017, 16:16
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




Re: If 50,000 < x < 60,000 and x is an integer, what is x?
[#permalink]
19 Nov 2017, 16:16






