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# If a positive integer n, divided by 5 has a remainder 2, which of the

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Math Expert
Joined: 02 Sep 2009
Posts: 50570
If a positive integer n, divided by 5 has a remainder 2, which of the  [#permalink]

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16 May 2016, 01:40
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:13) correct 13% (01:21) wrong based on 76 sessions

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If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?

I n is odd
II n + 1 cannot be a prime number
III (n + 2) divided by 7 has remainder 2

A. none
B. I only
C. I and II only
D. II and III only
E. I, II and III

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Joined: 12 Jun 2015
Posts: 79
Re: If a positive integer n, divided by 5 has a remainder 2, which of the  [#permalink]

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16 May 2016, 02:41
1
A positive integer n, divided by 5 has a remainder 2
n = 5x +2..........eqn (1)

So, n can be 2, 7, 12 ,17, 22, 27, 32 and so on

Statement I : n is odd
Substituting x= 2 in eqn (1)
n =12
So, n doesn't need to be odd . Not always true

Statement II : n + 1 cannot be a prime number
If we take n = 2, n +1 =3 which is a prime number
Not true

Statement III : (n + 2) divided by 7 has remainder 2
If we take n = 12 , remainder of (n + 2) divided by 7 is 0
Not true

Correct Option: A. none
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Posts: 8748
Re: If a positive integer n, divided by 5 has a remainder 2, which of the  [#permalink]

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05 Dec 2017, 05:38
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Re: If a positive integer n, divided by 5 has a remainder 2, which of the &nbs [#permalink] 05 Dec 2017, 05:38
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# If a positive integer n, divided by 5 has a remainder 2, which of the

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