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Harvey teaches a certain number of biology students in 2

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Harvey teaches a certain number of biology students in 2 [#permalink] New post 12 May 2010, 06:23
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Question Stats:

82% (02:23) correct 18% (01:01) wrong based on 18 sessions
Harvey teaches a certain number of biology students in 2 classes, K and L. He can divide the students in class K into 7 groups of n students each. He can divide the students in class L into 6 groups of p students each with 1 student left over. How many students are in class L ?

(1) n = p

(2) There are 5 more students in class K than in class L.
[Reveal] Spoiler: OA

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Re: Harvey teaches a certain number of biology students in 2 [#permalink] New post 12 May 2010, 06:42
Looks like B to me also.

l=31 and k=37
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Re: Harvey teaches a certain number of biology students in 2 [#permalink] New post 12 May 2010, 06:49
onedayill wrote:
Looks like B to me also.

l=31 and k=37

if n = 12 and p = 13 then:
7*12 = 84
6*13 + 1 = 79

if n = 6 and p = 6 then:
7*6 = 42
6*6+1 = 37
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Re: Harvey teaches a certain number of biology students in 2 [#permalink] New post 13 May 2010, 00:53
bakfed wrote:
Harvey teaches a certain number of biology students in 2 classes, K and L. He can divide the students in class K into 7 groups of n students each. He can divide the students in class L into 6 groups of p students each with 1 student left over. How many students are in class L ?

(1) n = p
(2) There are 5 more students in class K than in class L

OA that I have is
[Reveal] Spoiler:
C
; however, I'm feeling
[Reveal] Spoiler:
B
should give the right answer already.


K=7n
L=6p+1
(1): insuff
(2): 7n=6p+6: insuff: when n= 6k (k is an integer), p=k-1
(1) and (2): 7n=6n+1: suff
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Re: Harvey teaches a certain number of biology students in 2 [#permalink] New post 15 May 2010, 11:01
k= 7n
l=6p+6
1) is insufficient as the eq k=7n & l=6p +1 cannot be solved
2) insufficient as 7n=6p+6 cannot be resolvd
but if we combine these two then we get p=6
hence C
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Re: Harvey teaches a certain number of biology students in 2 [#permalink] New post 20 Jul 2015, 20:03
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Re: Harvey teaches a certain number of biology students in 2   [#permalink] 20 Jul 2015, 20:03
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