Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43867

If x – 6 = 3, what is the value of x? [#permalink]
Show Tags
05 Dec 2016, 23:47
Question Stats:
70% (00:30) correct 30% (00:42) wrong based on 226 sessions
HideShow timer Statistics



Retired Moderator
Joined: 05 Jul 2006
Posts: 1747

Re: If x – 6 = 3, what is the value of x? [#permalink]
Show Tags
06 Dec 2016, 01:46
1
This post received KUDOS
1
This post was BOOKMARKED
Bunuel wrote: If x – 6 = 3, what is the value of x?
(1) x is divisible by 9 (2) x is divisible by 3 from stem x is either = 9 or 3 from 1 x = 9 ... suff from 2 x= 9 or 3 .. insuff A



Manager
Joined: 02 Nov 2013
Posts: 95
Location: India

Re: If x – 6 = 3, what is the value of x? [#permalink]
Show Tags
06 Dec 2016, 03:13
I don't know whether this is even 600 level. Given that x – 6 = 3. Removing modulus, We will get two equation, x6=3 or x6=3. Solving the two equation we will two values of X. i.e. 9 or 3. Option 1: x is divisible by 9. Sufficient. Option 2: x is divisible by 3. Both the values 3 and 9 are divisible by 3. Not sufficient.
Hence answer is A.



Intern
Joined: 14 Oct 2015
Posts: 6

Re: If x – 6 = 3, what is the value of x? [#permalink]
Show Tags
07 Dec 2016, 11:03
Bunuel wrote: If x – 6 = 3, what is the value of x?
(1) x is divisible by 9 (2) x is divisible by 3 From stmt 1 X=9 only  sufficient From Stmt2 X=3 or 9  not Sufficient Ans A



Senior Manager
Joined: 15 Jan 2017
Posts: 359

Re: If x – 6 = 3, what is the value of x? [#permalink]
Show Tags
08 Jul 2017, 23:13
so answer is A was my first thought.
x6 = 3
so obv x = 9 or  3
1) x dvble 9 : so I substituted
96 = 3; also 27/9  6 as both are dvble by 9. so X i thought could be either 27 or 9 . Insuff
2) x dvble by 3.
x6 =3 I put x as 9 and 18 > 18/3  6 and 9/3  6 . so x again had two values
Answer is A. can you explain what is wrong above?
Also, based on reading the explanations above, it appears we consider x as dvble by something when it leaves behind a remainder one (that is why 9/3 = 3 and 3/3 = 1 hence insufficient; while 9/9 = 1 was seen as sufficient. But why can't we consider 27/9 here?)Would appreciate any reply to this!



Intern
Joined: 04 Apr 2017
Posts: 17

Re: If x – 6 = 3, what is the value of x? [#permalink]
Show Tags
08 Jul 2017, 23:18
1
This post received KUDOS
Madhavi1990 wrote: so answer is A was my first thought.
x6 = 3
so obv x = 9 or  3
1) x dvble 9 : so I substituted
96 = 3; also 27/9  6 as both are dvble by 9. so X i thought could be either 27 or 9 . Insuff
2) x dvble by 3.
x6 =3 I put x as 9 and 18 > 18/3  6 and 9/3  6 . so x again had two values
Answer is A. can you explain what is wrong above?
Also, based on reading the explanations above, it appears we consider x as dvble by something when it leaves behind a remainder one (that is why 9/3 = 3 and 3/3 = 1 hence insufficient; while 9/9 = 1 was seen as sufficient. But why can't we consider 27/9 here?)Would appreciate any reply to this!
Solving Question stem gives:
x6 = 3 x6=3 OR x6=3 x=9 OR x=3 So, possible value of X can be 9 or 3, any condition which makes one value as certain will be true.
1. Div by 9 means X=9 it can't be 3  So, it is sufficient 2. Div by 3 means X=9 or X=3  So, it is insufficient
Answer is A



Math Expert
Joined: 02 Sep 2009
Posts: 43867

Re: If x – 6 = 3, what is the value of x? [#permalink]
Show Tags
09 Jul 2017, 01:04
1
This post received KUDOS
Expert's post
1
This post was BOOKMARKED
Madhavi1990 wrote: so answer is A was my first thought.
x6 = 3
so obv x = 9 or  3
1) x dvble 9 : so I substituted
96 = 3; also 27/9  6 as both are dvble by 9. so X i thought could be either 27 or 9 . Insuff
2) x dvble by 3.
x6 =3 I put x as 9 and 18 > 18/3  6 and 9/3  6 . so x again had two values
Answer is A. can you explain what is wrong above?
Also, based on reading the explanations above, it appears we consider x as dvble by something when it leaves behind a remainder one (that is why 9/3 = 3 and 3/3 = 1 hence insufficient; while 9/9 = 1 was seen as sufficient. But why can't we consider 27/9 here?)Would appreciate any reply to this! The logic there is not right. If x – 6 = 3, what is the value of x?x – 6 = 3 means that x is either 9 or 3. So, the question asks to find out which one of them is x. (1) x is divisible by 9. x must be 9 because out of 9 and 3 only 9 is divisible by 9. Sufficient. (2) x is divisible by 3. Both 9 and 3 are divisible by 3, so we cannot say whether x is 9 or 3. Not sufficient. Answer: A.
_________________
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



Director
Joined: 12 Nov 2016
Posts: 790

Re: If x – 6 = 3, what is the value of x? [#permalink]
Show Tags
01 Sep 2017, 13:35
Bunuel wrote: If x – 6 = 3, what is the value of x?
(1) x is divisible by 9 (2) x is divisible by 3 two ways to approach abs. value Positive 1. x6 = 3 Negative  lx 6l =3 x+6 =3 x=3 x= 3 A




Re: If x – 6 = 3, what is the value of x?
[#permalink]
01 Sep 2017, 13:35






