If |b – 1| = 3, what is the value of b?

Question

(1) b is divisible by 2
(2) b is divisible by 4

yezz · Answer

FROM STEM

b= 4 when b>1 or b = -2 when b<1

from one

both -2 and 4 are divisible by 2 ... insuff

from 2

b is divisible by 4 only when b= 4 that it is devisable by 4 .. suff

B

Abhishek009 · Answer

FROM STATEMENT - I   ( INSUFFICIENT ) 
 
If b = -2 ; |b – 1| = 3
If b = 4 ; |b – 1| = 3

Thus, we do not have any unique value of b

FROM STATEMENT - II   ( SUFFICIENT )

If b = 4 ; |b – 1| = 3

There is only one possible value, ie, b = 4

Thus, Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked, answer will be (B)

kanusha · Answer

My solution :
Case 1: b-1 =3 ; b = 4
Case 2: -(b-1) = -b+1 = 3 ; b = -2
Statement 1: 
b/2
4/2 Yes
-2/2 Yes
Statement 2:
b/4 
4/4 Yes
-2/4 NO
So, I chose A
Abhishek can you pls explain what's wrong in my steps?
Am I wrong as b only need one value?
Thanks

Nunuboy1994 · Answer

2 ways to do absolute value

Pos

b- 1 =3
b= 4

Neg

-l b-1l =3
-b +1 =3
 -b =2
 b= -2

A

_shashank_shekhar_ · Answer

If |b – 1| = 3, what is the value of b?

(1) b is divisible by 2
(2) b is divisible by 4

Sol-
|b – 1| = 3
=> b=4 or b=-2
 (1) says b is divisible by 2 
4 and -2 both div by 2. hence not suff

(2) says b is divisible by 4
sufficient as 4 is div by 4

Hence (B)

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

If |b – 1| = 3, what is the value of b?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

If |b – 1| = 3, what is the value of b?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards