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Is a+b divisible by 7? a and b are both +ve integers. 1) a

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Intern
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Joined: 16 Jan 2007
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Is a+b divisible by 7? a and b are both +ve integers. 1) a [#permalink] New post 04 Aug 2010, 10:29
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (01:22) correct 10% (00:00) wrong based on 10 sessions
Is a+b divisible by 7? a and b are both +ve integers.

1) a is not divisible by 7
2) b is not divisible by 7
[Reveal] Spoiler: OA
Intern
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Joined: 03 Aug 2010
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Schools: Sloan '14 (M)
GRE 1: 337 Q168 V169
WE: Engineering (Energy and Utilities)
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Kudos [?]: 10 [0], given: 0

Re: Is a+b divisible by 7? [#permalink] New post 04 Aug 2010, 10:35
1) let a = 1, then if b = 1 we have a+b not divisible by 7. on the other hand if b =6, a+b is divisible by seven. Not Sufficient
2) Use the same argument as in 1), Not Sufficient
1 & 2) Use the same argument as in 1). Not Sufficient

Hence E
Intern
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Re: Is a+b divisible by 7? [#permalink] New post 04 Aug 2010, 10:41
Also we can think it this way:

1) Non Multiple (of 7) + Multiple (of 7) = always non multiple (of 7)
where as
2) Non Multiple + Non Multiple = either multiple or non Multiple
3) Multiple + Multiple = always multiple

Hence the answer E.
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Re: Is a+b divisible by 7? [#permalink] New post 17 Aug 2010, 14:33
Answer should be E

By combining 2 statements

For ex = a+b= 8+15/7 =23/7= not divisible
a+b= 15+6/7=21/7 = divisible
Re: Is a+b divisible by 7?   [#permalink] 17 Aug 2010, 14:33
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Is a+b divisible by 7? a and b are both +ve integers. 1) a

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