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Is a - b >= 3 ?

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Bunuel
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Is a - b >= 3 ? [#permalink] New post   28 Oct 2015, 06:58
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A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

81% (00:58) correct 19% (00:56) wrong based on 54 sessions
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Is a - b >= 3 ?

(1) a >= 8

(2) b <= 5

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C
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Re: Is a - b >= 3 ? [#permalink] New post   28 Oct 2015, 08:19
Bunuel wrote:
Is a - b >= 3 ?

(1) a >= 8

(2) b <= 5

Kudos for a correct solution.


1. Not Sufficient
No information on b

2. Not Sufficient
No information on a

1 and 2 Sufficient
Multiplying b<=5 with -1, we have -b>=-5 and adding this to a>=8 we have

a-b>=8-5
a-b>=3

Answer: C
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Re: Is a - b >= 3 ? [#permalink] New post   28 Oct 2015, 08:41
Quote:
Is a - b >= 3 ?
(1) a >= 8
(2) b <= 5

Kudos for a correct solution.


Statement 1 is NOT sufficient as there is no information of b
Statement 2 is NOT sufficient as there is no information of a

Combining 1 & 2,
a-b>=3

Proof :
If a=8 & b=5 , Then a-b = 3
If a=8 & b= -5 , Then a-b = 13

So. Option (c) wins.
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Re: Is a - b >= 3 ? [#permalink] New post   28 Oct 2015, 09:09
(1) a >= 8 --- Insuff
(2) b <= 5 --- Insuff

Conbining both... for any value of a>=8 and b <= 5.....a - b would be > or = 3

Ans: C
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Is a - b >= 3 ? [#permalink] New post   28 Oct 2015, 09:31
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Bunuel wrote:
Is a - b >= 3 ?

(1) a >= 8

(2) b <= 5

Kudos for a correct solution.


Question : Is a - b >= 3 ?

Statement 1: a >= 8
No information about b hence
NOT SUFFICIENT

Statement 2: b <= 5
No information about a hence
NOT SUFFICIENT

Combining the two statements
a >= 8
and
b <= 5
Taking difference of two Inequations

NOTE: DIFFERENCE of two inequation may be taken ONLY IF their Inequality signs are OPPOSITE
Also, SUM of two Inequation may be taken ONLY IF their Inequality signs are SAME

a - b >= 8-5
i.e. a - b >= 3
SUFFICIENT

Answer: option C
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Is a - b >= 3 ? [#permalink]
28 Oct 2015, 09:31
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Bunuel
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