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# What is integer n? 1. When divided by 7, remainder is 3 2.

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Director
Joined: 10 Feb 2006
Posts: 664
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What is integer n? 1. When divided by 7, remainder is 3 2. [#permalink]  27 Sep 2006, 12:35
What is integer n?

1. When divided by 7, remainder is 3
2. When divided by 4, remainder is 2

(1). N = D(q) + r =
10 = 7(1) + 3
17 = 7(2) + 3

Insufficient

(2). N = D(q) + r =

6 = 4(1) + 2
10 = 4(2) + 2

Insufficent

Combining (1) & (2) gives me 10. Answer C

What do you guys think?
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Intern
Joined: 20 Sep 2006
Posts: 3
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Kudos [?]: 0 [0], given: 0

how about 38? [#permalink]  27 Sep 2006, 20:36
38/7 = 5 R3
38/4 = 9 R2

I'd say E
Manager
Joined: 14 May 2006
Posts: 202
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Kudos [?]: 10 [0], given: 0

[#permalink]  27 Sep 2006, 20:48
I would say E.

If n=38:
38/7 = 5 + 3/7
38/4 = 9 + 2/4

If n=66:
66/7 = 9 + 3/7
66/4 = 16 + 2/4

So (1) + (2) are insufficient.
Senior Manager
Joined: 28 Aug 2006
Posts: 302
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[#permalink]  27 Sep 2006, 23:15
It must be E.

Get this basic funda........

Statement 1: N= 7p+3
It is not sufficient.

Statement 2: N=4q+2
It is not sufficient .

Let's combine both.

N=7p+3
This number when divided by 4 leaves a remainder 2
which mean N-2 divsible by 4 exactly.
ie 7p+1 must be divisible by 4.
So p=1,5,9,....................
are the possible values( Look once u get the min value of x, the value will be the minimum +4)

So there are infinite numbers satisfying both the conditions

Hence E
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Last edited by cicerone on 25 Sep 2008, 00:35, edited 1 time in total.
SVP
Joined: 05 Jul 2006
Posts: 1542
Followers: 5

Kudos [?]: 75 [0], given: 39

[#permalink]  02 Oct 2006, 04:45
What is integer n?

1. When divided by 7, remainder is 3
2. When divided by 4, remainder is 2

n = 7x+3 n could be 3,10,17,24,38...insuff

from two

n = 4y+2 n could be 2,6,14,18,22,26........insuff

both together are insuff

my answer is E
[#permalink] 02 Oct 2006, 04:45
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# What is integer n? 1. When divided by 7, remainder is 3 2.

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