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x = ? (1) x leaves a remainder of 2 when divided by 3, 7, or 11

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Manager
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G
Joined: 07 Jun 2017
Posts: 176

Kudos [?]: 90 [0], given: 59

Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
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x = ? (1) x leaves a remainder of 2 when divided by 3, 7, or 11 [#permalink]

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New post 03 Nov 2017, 05:41
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

56% (01:34) correct 44% (01:35) wrong based on 63 sessions

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x = ?

(1) x leaves a remainder of 2 when divided by 3, 7, or 11.
(2) 200 < x < 500
[Reveal] Spoiler: OA

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Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post

Kudos [?]: 90 [0], given: 59

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Math Expert
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P
Joined: 02 Aug 2009
Posts: 5234

Kudos [?]: 5889 [0], given: 118

Re: x = ? (1) x leaves a remainder of 2 when divided by 3, 7, or 11 [#permalink]

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New post 03 Nov 2017, 06:11
x = ?

(1) x leaves a remainder of 2 when divided by 3, 7, or 11.
This tells us that x =n*LCM of 3,7,11 + 2
And n can be any non NEGATIVE INTEGER..
So x can be smallest 2..
Or LCM of 3,7,11=223...
So 223+2=225 or 2*223+2=448..
Insufficient

(2) 200 < x < 500
Can be any value between 200 and 500
Insufficient

Combined..
It can be 225 or 448
Insufficient

E
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5889 [0], given: 118

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Joined: 08 Sep 2017
Posts: 4

Kudos [?]: 0 [0], given: 107

Premium Member CAT Tests
x = ? (1) x leaves a remainder of 2 when divided by 3, 7, or 11 [#permalink]

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New post 07 Nov 2017, 18:57
chetan2u wrote:
x = ?

(1) x leaves a remainder of 2 when divided by 3, 7, or 11.
This tells us that x =n*LCM of 3,7,11 + 2
And n can be any non NEGATIVE INTEGER..
So x can be smallest 2..
Or LCM of 3,7,11=223...
So 223+2=225 or 2*223+2=448..
Insufficient

(2) 200 < x < 500
Can be any value between 200 and 500
Insufficient

Combined..
It can be 225 or 448
Insufficient

E


LCM of 3,7,11=223...?? LCM=231---> x= 231 +2=233

If we take x=231*k +2 (where k is any number) we have infinite solutions; for example with k=2; x= 462 +2= 464 --> 464/3=>R=2 // 464/7=>R=2 // 464/11=>R=2 ...and so on

So if combined, x can be 233 or 464 ---> NS ----> Answer E

Kudos [?]: 0 [0], given: 107

x = ? (1) x leaves a remainder of 2 when divided by 3, 7, or 11   [#permalink] 07 Nov 2017, 18:57
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