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

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Math Expert
Joined: 02 Sep 2009
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If |b – 1| = 3, what is the value of b?  [#permalink]

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06 Dec 2016, 07:03
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Question Stats:

77% (00:42) correct 23% (00:49) wrong based on 261 sessions

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

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

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Re: If |b – 1| = 3, what is the value of b?  [#permalink]

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07 Dec 2016, 09:15
1
Bunuel wrote:
If |b – 1| = 3, what is the value of b?

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

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

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Re: If |b – 1| = 3, what is the value of b?  [#permalink]

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07 Dec 2016, 11:39
2
Bunuel wrote:
If |b – 1| = 3, what is the value of b?

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

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)

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If |b – 1| = 3, what is the value of b?  [#permalink]

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23 Jan 2017, 09:18
Abhishek009 wrote:
Bunuel wrote:
If |b – 1| = 3, what is the value of b?

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

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)

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
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Re: If |b – 1| = 3, what is the value of b?  [#permalink]

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01 Sep 2017, 14:46
Bunuel wrote:
If |b – 1| = 3, what is the value of b?

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

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
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Re: If |b – 1| = 3, what is the value of b?  [#permalink]

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28 Oct 2018, 12:41
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)
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Re: If |b – 1| = 3, what is the value of b?   [#permalink] 28 Oct 2018, 12:41
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