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Is it true that a > b ? (1) a + 3 > b – 1 (2) a > |b|

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Is it true that a > b ? (1) a + 3 > b – 1 (2) a > |b|  [#permalink]

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New post 13 Mar 2017, 08:21
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

64% (01:07) correct 36% (01:26) wrong based on 95 sessions

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Re: Is it true that a > b ? (1) a + 3 > b – 1 (2) a > |b|  [#permalink]

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New post 13 Mar 2017, 12:19
Bunuel wrote:
Is it true that a > b ?

(1) a + 3 > b – 1
(2) a > |b|



(1) a+4>b
if a= 3 , b= 4 then b>a
but if a =5 , b =2 then a>b
insuff

(2) we can derive 2 points :-
a >=0

IaI> IbI
since IaI>0 ,,IaI=a

thus irrespective of polarity of b
a>b

suff

Ans B
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Re: Is it true that a > b ? (1) a + 3 > b – 1 (2) a > |b|  [#permalink]

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New post 14 Mar 2017, 00:18
Bunuel wrote:
Is it true that a > b ?

(1) a + 3 > b – 1
(2) a > |b|


1: a>b-4
this condition will satisfy even if both a and b have same value so its insufficient.

2: a>|b|
this condition makes sure that a is positive and greater than b. Sufficient

The answer should be B
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Re: Is it true that a > b ? (1) a + 3 > b – 1 (2) a > |b|  [#permalink]

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New post 14 Mar 2017, 00:47
1. a+3 > b-1
Try a = 3 and b = 2
6 > 1
So a > b
Try another negative case a = -4 and b = -1
-1 > -2
But -4 < -1 . So a < b.

Hence the options A and D shall be eliminated.

2. a > |b|
Try a = 3 ; b = 2
Its true. a>b

Try a= 4 and b = -3
4>3

So option B is enough
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Re: Is it true that a > b ? (1) a + 3 > b – 1 (2) a > |b|  [#permalink]

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New post 14 Mar 2017, 02:20
Statement 1 is insufficient
Lets look at statement 2
a>|b|
that means a is always greater than b
for ex take b=-3
then a>|-3| i.e a > 3
so a >b

another case
b=3
then a>|3| i.e a > 3
so a >b
answer is B
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Re: Is it true that a > b ? (1) a + 3 > b – 1 (2) a > |b|  [#permalink]

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New post 15 Mar 2017, 05:55
St 1: a+3>b-1 or a-b>-4. if a-b is negative a<b and if a-b is positive, a>b. INSUFFICIENT

St 2: a>|b|. therefore a>b and a>-b too. ANSWER

Option B
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Re: Is it true that a > b ? (1) a + 3 > b – 1 (2) a > |b|  [#permalink]

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New post 22 Mar 2017, 15:32
"Infer - a > b ?

S-1) b < a+4. b =2 and a = 1 a < b or b = 1 and a = 2, a > b. NS
S-2) a > |b| means a > +b and a > -b. Sufficient

Answer is B"
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Re: Is it true that a > b ? (1) a + 3 > b – 1 (2) a > |b| &nbs [#permalink] 22 Mar 2017, 15:32
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