Jun 19 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants. Jun 22 07:00 AM PDT  09:00 AM PDT Attend this webinar and master GMAT SC in 10 days by learning how meaning and logic can help you tackle 700+ level SC questions with ease. Jun 23 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 06 Feb 2014
Posts: 42
Location: United States
GPA: 4
WE: Operations (Aerospace and Defense)

If x+1 = b, where b is a nonzero integer, which of the following s
[#permalink]
Show Tags
07 Jan 2015, 21:09
Question Stats:
42% (02:08) correct 58% (02:08) wrong based on 277 sessions
HideShow timer Statistics
If x+1 = b, where b is a nonzero integer, which of the following statements must be true? I. b < 0 II. x < b III. x > b A. I only B. II only C. III only D. I and II only E. I and III only Source: eGMAT
Official Answer and Stats are available only to registered users. Register/ Login.



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9331
Location: Pune, India

Re: If x+1 = b, where b is a nonzero integer, which of the following s
[#permalink]
Show Tags
07 Jan 2015, 21:37
hubahuba wrote: If x+1 = b, where b is a nonzero integer, which of the following statements must be true? I. b < 0 II. x < b III. x > b A. I only B. II only C. III only D. I and II only E. I and III only Source: eGMATI got this question on eGMAT and am looking for a more efficient method to solve such questions. x+1 = b x+1 = b Note that absolute value can never be negative and we know that b is not 0 so b must be positive. This means b must be negative. I must be true. For the others, use number line approach. _______________(1)_______0______________________________ b is the distance of x from 1. If x is on the left of 1, it will be negative and since b is positive, x < b. If x is to the right of 0, b will still be 1 greater than x. Say x = 5, then b = 6 (distance of 5 from 1). Hence x < b. II will always hold. III is not necessary. If x is say 2, b = 1 so b = 1. Here x < b. Answer (D)
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Intern
Joined: 14 Jun 2013
Posts: 27

Re: If x+1 = b, where b is a nonzero integer, which of the following s
[#permalink]
Show Tags
08 Jan 2015, 02:44
VeritasPrepKarishma wrote: hubahuba wrote: If x+1 = b, where b is a nonzero integer, which of the following statements must be true? I. b < 0 II. x < b III. x > b A. I only B. II only C. III only D. I and II only E. I and III only Source: eGMATI got this question on eGMAT and am looking for a more efficient method to solve such questions. x+1 = b x+1 = b Note that absolute value can never be negative and we know that b is not 0 so b must be positive. This means b must be negative. I must be true. For the others, use number line approach. _______________(1)_______0______________________________ b is the distance of x from 1. If x is on the left of 1, it will be negative and since b is positive, x < b. If x is to the right of 0, b will still be 1 greater than x. Say x = 5, then b = 6 (distance of 5 from 1). Hence x < b. II will always hold. III is not necessary. If x is say 2, b = 1 so b = 1. Here x < b. Answer (D) Hi I am little confused. I tried with the typical method. Given that x+1 = b x+1 = b....... hence b is a negative number, and b is positive.. so I is true. Next.. x+1...then x+1 = b ...or..... (x+1) = b When X+1 = b x = b1 as b is positive, x < b When (X+1) = b x+1 = b x = b1 and then confusion.. can you please help..!!



Math Expert
Joined: 02 Sep 2009
Posts: 55686

Re: If x+1 = b, where b is a nonzero integer, which of the following s
[#permalink]
Show Tags
08 Jan 2015, 07:09
gauriranjekar wrote: VeritasPrepKarishma wrote: hubahuba wrote: If x+1 = b, where b is a nonzero integer, which of the following statements must be true? I. b < 0 II. x < b III. x > b A. I only B. II only C. III only D. I and II only E. I and III only Source: eGMATI got this question on eGMAT and am looking for a more efficient method to solve such questions. x+1 = b x+1 = b Note that absolute value can never be negative and we know that b is not 0 so b must be positive. This means b must be negative. I must be true. For the others, use number line approach. _______________(1)_______0______________________________ b is the distance of x from 1. If x is on the left of 1, it will be negative and since b is positive, x < b. If x is to the right of 0, b will still be 1 greater than x. Say x = 5, then b = 6 (distance of 5 from 1). Hence x < b. II will always hold. III is not necessary. If x is say 2, b = 1 so b = 1. Here x < b. Answer (D) Hi I am little confused. I tried with the typical method. Given that x+1 = b x+1 = b....... hence b is a negative number, and b is positive.. so I is true. Next.. x+1...then x+1 = b ...or..... (x+1) = b When X+1 = b x = b1 as b is positive, x < b When (X+1) = b x+1 = b x = b1 and then confusion.. can you please help..!! x+1 = b > b >=0 > b <= 0. Since we are given that b is a nonzero integer, then b is a negative integer: 1, 2, 3, ... x+1 = x+1, when x+1 > 0, so when x > 1. In this case x+1 = b > x = b  1. When b = 1, x = 0; when b = 2, then x = 1, ... > x < b. x+1 = (x+1), when x+1 <= 0, so when x <= 1. In this case (x+1) = b > x = b  1. When b = 1, x = 2; when b = 2, then x = 3, ... > x < b.
_________________



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9331
Location: Pune, India

Re: If x+1 = b, where b is a nonzero integer, which of the following s
[#permalink]
Show Tags
08 Jan 2015, 20:46
gauriranjekar wrote: VeritasPrepKarishma wrote: hubahuba wrote: If x+1 = b, where b is a nonzero integer, which of the following statements must be true? I. b < 0 II. x < b III. x > b A. I only B. II only C. III only D. I and II only E. I and III only Source: eGMATI got this question on eGMAT and am looking for a more efficient method to solve such questions. x+1 = b x+1 = b Note that absolute value can never be negative and we know that b is not 0 so b must be positive. This means b must be negative. I must be true. For the others, use number line approach. _______________(1)_______0______________________________ b is the distance of x from 1. If x is on the left of 1, it will be negative and since b is positive, x < b. If x is to the right of 0, b will still be 1 greater than x. Say x = 5, then b = 6 (distance of 5 from 1). Hence x < b. II will always hold. III is not necessary. If x is say 2, b = 1 so b = 1. Here x < b. Answer (D) Hi I am little confused. I tried with the typical method. Given that x+1 = b x+1 = b....... hence b is a negative number, and b is positive.. so I is true. Next.. x+1...then x+1 = b ...or..... (x+1) = b When X+1 = b x = b1 as b is positive, x < b When (X+1) = b x+1 = b x = b1 and then confusion.. can you please help..!! Bunuel has already solved your doubt so I will not provide the solution again but here is a link which tells you why it is very important to consider the range when you convert absolute value equation to a regular equation. i.e. when you substitute x+1 in place of x+1, it is very important to note that this is true only when x > 1. http://www.veritasprep.com/blog/2014/06 ... thegmat/
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Intern
Joined: 14 Jun 2013
Posts: 27

If x+1 = b, where b is a nonzero integer, which of the following s
[#permalink]
Show Tags
09 Jan 2015, 06:25
Thank you for sharing the link.. it is quite helpful thanks Bunuel for the solution..!!



Intern
Joined: 05 Jun 2015
Posts: 24
Location: Viet Nam
GPA: 3.66

Re: If x+1 = b, where b is a nonzero integer, which of the following s
[#permalink]
Show Tags
10 Mar 2016, 02:31
VeritasPrepKarishma wrote: If x is to the right of 0, b will still be 1 greater than x. Say x = 5, then b = 6 (distance of 5 from 1). Hence x < b. II will always hold.
Hi, I thought the second case should be If x is to the right of 1, since x can be zero and b=1. What am I missing?



Intern
Joined: 11 Jan 2010
Posts: 35

Re: If x+1 = b, where b is a nonzero integer, which of the following s
[#permalink]
Show Tags
05 Nov 2016, 19:44
If x+1 = b, where b is a nonzero integer, which of the following statements must be true? I. b < 0 II. x < b III. x > b Solution: If x+1 = b then b is equal to a negative value of an absolute value. So, b < 0. Secondly, If x+1 = a negative value, then (x+1) < 0. So, x < 1. So, both x and b are negative values. But magnitude of (x+1) equal to b. So x is one more negative than b. Example: If x = 5, then b = 4. Therefore, x < b. Lastly, x > b can't be true, because both the numbers have negative values. The negative value of x is more negative than that of b. So, the answer is D. Thanks in advance for the Kudos!!!



SVP
Joined: 26 Mar 2013
Posts: 2232

Re: If x+1 = b, where b is a nonzero integer, which of the following s
[#permalink]
Show Tags
07 Nov 2016, 02:53
hubahuba wrote: If x+1 = b, where b is a nonzero integer, which of the following statements must be true? I. b < 0 II. x < b III. x > b A. I only B. II only C. III only D. I and II only E. I and III only Source: eGMATِAnother approach is plug in numbers but we need carefully to choose different numbers. From the prompt b is nonzero integer so X does not equal to 1. I will choose two values above and lower than 1. x>1.....choose x=1.......... b=2 x,1 .....choose x=2.............b=1 From above let's examine each statement I. b < 0...... from above examples. it is evident that b<0 for all ranges. Eliminate B & C II. x < b .....from above examples 1< 2 & 2<1 .. it is always correct. Eliminate A & E Answer :D



NonHuman User
Joined: 09 Sep 2013
Posts: 11395

Re: If x+1 = b, where b is a nonzero integer, which of the following s
[#permalink]
Show Tags
05 Feb 2019, 17:51
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.
_________________




Re: If x+1 = b, where b is a nonzero integer, which of the following s
[#permalink]
05 Feb 2019, 17:51






