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Is z even? (1) 5z is even (2) 3z is even

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Manager
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Status: Current MBA Student
Joined: 19 Nov 2009
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Is z even? (1) 5z is even (2) 3z is even [#permalink]

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New post 11 May 2011, 11:38
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A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

44% (00:50) correct 56% (00:27) wrong based on 157 sessions

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Is z even?

(1) 5z is even
(2) 3z is even
[Reveal] Spoiler: OA

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Re: Even and odds problem [#permalink]

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New post 11 May 2011, 12:30
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tonebeeze wrote:
Is z even?

(1) 5z is even

z=2/5; 5z=2; z not even
z=2; 5z=10; z is even
Not Sufficient.

(2) 3z is even


z=2/3; 3z=2; z not even
z=2; 3z=6; z is even
Not Sufficient.

Combining both;
z can't be a fraction with denominator 3 or 5 because it has to satisfy both statements simultaneously.
Thus, z must be an even integer.
Sufficient.

Ans: "C"
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Re: Even and odds problem [#permalink]

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New post 11 May 2011, 21:26
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(1)
z = 2

z = 2/5

Not Sufficient

(2)

z = 2

z = 2/3

Not Sufficient

(1) + (2)

z = even

Answer - C
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Re: Even and odds problem [#permalink]

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New post 11 May 2011, 21:40
So, Even number is an Integer considered.

a+b means z cant be divisible by 3/5 both.Hence C.
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Re: Is z even? (1) 5z is even (2) 3z is even [#permalink]

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New post 11 Jul 2015, 14:04
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Re: Is z even? (1) 5z is even (2) 3z is even [#permalink]

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New post 06 Jun 2017, 08:41
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is z even? (1) 5z is even (2) 3z is even [#permalink]

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New post 03 Aug 2017, 12:37
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tonebeeze wrote:
Is z even?

(1) 5z is even
(2) 3z is even


z = integers, decimals, fractions, etc.
z = even ?

1) 5z is even
z = \(\frac{2}{5}\)
5z = 2, but z ≠ even.
z = 2
5z = 10, and z = even.
2 different answers. Insufficient.

2) 3z = even
z = \(\frac{2}{3}\)
3z = 2, but z ≠ even
z = 2, 3z = 6
z = even
2 different answers. Insufficient.

1+2)

5z = even and 3z = even
3 and 5 are prime => z cannot be a fraction as it has to satisfy both the equations.
=> z has to be even.
Sufficient. C is the answer.
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Re: Is z even? (1) 5z is even (2) 3z is even   [#permalink] 03 Aug 2017, 12:37
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Is z even? (1) 5z is even (2) 3z is even

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