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Is positive integer z greater than 275?

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Is positive integer z greater than 275? [#permalink]

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New post 12 Sep 2015, 23:23
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Question Stats:

66% (00:37) correct 34% (00:59) wrong based on 140 sessions

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Is positive integer z greater than 275?

(1) z is a multiple of 21

(2) z is a multiple of 39
[Reveal] Spoiler: OA

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Re: Is positive integer z greater than 275? [#permalink]

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New post 13 Sep 2015, 03:04
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correct ans is E

1) multiple value possible which are both greater and smaller than 275
2) multiple value possible which are both greater and smaller than 275

together 1 and 2

Both no ( 273 ) and yes ( above 275 )

Hence ans E
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Re: Is positive integer z greater than 275? [#permalink]

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New post 16 Sep 2015, 20:04
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shasadou wrote:
Is positive integer z greater than 275?

(1) z is a multiple of 21

(2) z is a multiple of 39


Prime factors of \(275\) are \(5*5*11\)

Statement 1

Z is a multiple of \(21\)

Prime factors of \(21\) are \(7*3\) so if it is only \(7*3\) the answer will be NO, but if it is \(7*3*5*5*11\) then the answer will be YES

Insuff

Statement 2

Z is a multiple of \(39\)

Prime factors of \(39\) are \(13*3\) so if it is only \(13*3\) the answer will be NO, but if it is \(13*3*5*5*11\) then the answer will be YES

Insuff again

Statment 1 and 2

Z is a multiple of \(21\) and \(39\) (LCM of Z is \(3*7*13\))

So, if Z is \(3*7*13\) the answer will be NO, but if Z is \(3*7*13*2\) the answer will be YES

Insuff

Therefore, the answer is E

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Re: Is positive integer z greater than 275? [#permalink]

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Re: Is positive integer z greater than 275? [#permalink]

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New post 27 Sep 2017, 00:53
Is positive integer z greater than 275?

(1) z is a multiple of 21
z is multiple of 21 => z can be = 21,42.....
Clearly Insufficient

(2) z is a multiple of 39
z is multiple of 39 => z can be = 39,78.....
Clearly Insufficient

1+2
Z is multiple of 21 and 39 => minimum value of z = LCM of 21 and 39 = 3*7*13 = 273
So here we have atleast 1 value of z less than 275
Insufficient

Answer:E

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Re: Is positive integer z greater than 275? [#permalink]

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New post 27 Sep 2017, 04:32
shasadou wrote:
Is positive integer z greater than 275?

(1) z is a multiple of 21

(2) z is a multiple of 39


The answer is E
Statement 1
The value of the multiple can be greater than 275 of lesser than 275 hence insufficient
Statement 2
Again the value can greater or lesser than 275 not sufficient
Taking both the statements together
We have LCM of 21 and 39 =273
Thus it can also be greater than or lesser than 275
So insufficient

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Re: Is positive integer z greater than 275?   [#permalink] 27 Sep 2017, 04:32
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