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# Is positive integer z greater than 275?

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Current Student
Joined: 12 Aug 2015
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Is positive integer z greater than 275? [#permalink]

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12 Sep 2015, 22:23
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64% (00:38) correct 36% (00:56) wrong based on 171 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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KUDO me plenty

Manager
Joined: 13 Mar 2013
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Re: Is positive integer z greater than 275? [#permalink]

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13 Sep 2015, 02:04
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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
Please feel free to give Kudos
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Re: Is positive integer z greater than 275? [#permalink]

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16 Sep 2015, 19:04
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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

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

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

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26 Sep 2017, 22:51
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Re: Is positive integer z greater than 275? [#permalink]

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26 Sep 2017, 23:53
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

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

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27 Sep 2017, 03:32
Is positive integer z greater than 275?

(1) z is a multiple of 21

(2) z is a multiple of 39

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, 03:32
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