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M05 #20

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M05 #20 [#permalink] New post 27 Nov 2011, 15:27
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If there is a remainder of 2 when integer P is divided by 7, is P divisible by 8?

1. P is divisible by 2 and 3
2. P<100

Can somone please explain how do to do this problem? I don't know how to handle "remainder of 2." Thanks.
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Re: M05 #20 [#permalink] New post 01 Dec 2011, 12:52
Got this ques incorrect...thought its D.....But the official answer is E.....Dont know how...

any QA
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Re: M05 #20 [#permalink] New post 14 Apr 2012, 14:44
Expert's post
Samwong wrote:
If there is a remainder of 2 when integer P is divided by 7, is P divisible by 8?

1. P is divisible by 2 and 3
2. P<100

Can somone please explain how do to do this problem? I don't know how to handle "remainder of 2." Thanks.


When positive integer p is divided by 7 the remainder is 2: p=7q+2, so p can be: 2, 9, 16, 23, 30, 37, 44, 51, 58, 65, 72, ...

(1) p is divisible by 2 and 3 --> p is a multiple of 6 --> p can be 30 (answer NO) or 72 (answer YES). Not sufficient.
(2) p<100. Clearly insufficient.

(1)+(2) p can still be 30 (answer NO) or 72 (answer YES). Not sufficient.

Answer: E.
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Re: M05 #20   [#permalink] 14 Apr 2012, 14:44
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