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# When x is divided by 5, the remainder is 2

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Director
Joined: 14 Feb 2005
Posts: 999

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Location: New York
When x is divided by 5, the remainder is 2 [#permalink]

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09 Nov 2007, 08:34
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Q. When x is divided by 5, the remainder is 2

IS X divisible by 7?

a.X is a prime number
b. X+3 is a multiple of 10

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VP
Joined: 08 Jun 2005
Posts: 1143

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09 Nov 2007, 08:47
From stem:

possible values for x ---> 2,7,12,17,22,27 ...

x/7 = integer ?

statement 1

x is a prime number.

x can be 7 or 17

insufficient

statement 2

x+3 is a multiple of 10

x can be 7 or 17

insufficient

both statements

x can be 7 or 17

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CEO
Joined: 29 Mar 2007
Posts: 2553

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09 Nov 2007, 09:23
KillerSquirrel wrote:
From stem:

possible values for x ---> 2,7,12,17,22,27 ...

x/7 = integer ?

statement 1

x is a prime number.

x can be 7 or 17

insufficient

statement 2

x+3 is a multiple of 10

x can be 7 or 17

insufficient

both statements

x can be 7 or 17

Would post my own, but KS's is exactly like mine. Nice!

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Director
Joined: 14 Feb 2005
Posts: 999

Kudos [?]: 20 [0], given: 0

Location: New York

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09 Nov 2007, 09:31
Thanks Killer....

I messed this one by trying to solve the Q by equations...

your idea of assigning values to X is the easier way..

cheers

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09 Nov 2007, 09:31
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