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# Is Z > 10 - Z ?

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Joined: 10 Jul 2013
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Is Z > 10 - Z ?  [#permalink]

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10 Aug 2013, 11:56
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45% (medium)

Question Stats:

65% (01:36) correct 35% (01:25) wrong based on 70 sessions

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Is Z > 10 - Z?
(1) Arnold scored Z points more than Jessie.
(2) Together Arnold and Jessie scored 10 points.

i need your opinions especially the way you think. That's why uploaded this. Will upload my solution soon

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Asif vai.....
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Re: Is Z > 10 - Z ?  [#permalink]

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10 Aug 2013, 12:48
Asifpirlo wrote:
Is Z > 10 - Z?
(1) Arnold scored Z points more than Jessie.
(2) Together Arnold and Jessie scored 10 points.

i need your opinions especially the way you think. That's why uploaded this. Will upload my solution soon

IS
$$Z > 10 - Z$$OR
$$Z>5$$

(1) Arnold scored Z points more than Jessie.
DONT KNOW Z hence insufficient

(2) Together Arnold and Jessie scored 10 points.
still insufficient.

combining also we dont anything about how much points each have,hence insufficient

hence E
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Re: Is Z > 10 - Z ?  [#permalink]

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10 Aug 2013, 22:21
Quote:
IS
$$Z > 10 - Z$$OR
$$Z>5$$

(1) Arnold scored Z points more than Jessie.
DONT KNOW Z hence insufficient

(2) Together Arnold and Jessie scored 10 points.
still insufficient.

combining also we dont anything about how much points each have,hence insufficient

hence E

Hi,

Could you please tell me why did you consider Z as a positive number and came to conclusion : Z>5

Thanks.
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Re: Is Z > 10 - Z ?  [#permalink]

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10 Aug 2013, 22:25
nick28 wrote:
Quote:
IS
$$Z > 10 - Z$$OR
$$Z>5$$

(1) Arnold scored Z points more than Jessie.
DONT KNOW Z hence insufficient

(2) Together Arnold and Jessie scored 10 points.
still insufficient.

combining also we dont anything about how much points each have,hence insufficient

hence E

Hi,

Could you please tell me why did you consider Z as a positive number and came to conclusion : Z>5

Thanks.

HI nick ,

i didnt assumed any thing

see the question was:
is $$Z > 10 - Z$$ ?
now if we solve this ...take -Z to LEFT HAND SIDE.
THEREFORE $$2Z > 10$$ ==> hence in short question is asking IS $$Z> \frac{10}{2}$$

hope its clear.
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Re: Is Z > 10 - Z ?  [#permalink]

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10 Aug 2013, 22:34
blueseas wrote:
HI nick ,

i didnt assumed any thing

see the question was:
is $$Z > 10 - Z$$ ?
now if we solve this ...take -Z to LEFT HAND SIDE.
THEREFORE $$2Z > 10$$ ==> hence in short question is asking IS $$Z> \frac{10}{2}$$

hope its clear.

But without knowing the polarity of "Z", how can we move it around the ">" sign ?
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Re: Is Z > 10 - Z ?  [#permalink]

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10 Aug 2013, 22:39
nick28 wrote:
blueseas wrote:
HI nick ,

i didnt assumed any thing

see the question was:
is $$Z > 10 - Z$$ ?
now if we solve this ...take -Z to LEFT HAND SIDE.
THEREFORE $$2Z > 10$$ ==> hence in short question is asking IS $$Z> \frac{10}{2}$$

hope its clear.

But without knowing the polarity of "Z", how can we move it around the ">" sign ?

GREAT thats a good HABIT.
TAKE A RULE: IN EQUALITIES YOU CAN MULTIPLY/DIVIDE A POSITIVE NUMBER WITHOUT CHANGING THE SIGN OF EQUALITY.
OK NOW IN THIS CASE.
i think you will be OK till here.: $$2Z > 10$$
now since 2 is positive i am dividing both sides with 2 .(SINCE 2 IS POSITIVE NUMBER THERE WILL BE NO CHANGE IN INEQUALITY SIGN)
now when you divide by 2 we get: $$Z> \frac{10}{2}$$

HOPE its clear.
_________________
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Re: Is Z > 10 - Z ?  [#permalink]

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10 Aug 2013, 22:51
blueseas wrote:
GREAT thats a good HABIT.
TAKE A RULE: IN EQUALITIES YOU CAN MULTIPLY/DIVIDE A POSITIVE NUMBER WITHOUT CHANGING THE SIGN OF EQUALITY.
OK NOW IN THIS CASE.
i think you will be OK till here.: $$2Z > 10$$
now since 2 is positive i am dividing both sides with 2 .(SINCE 2 IS POSITIVE NUMBER THERE WILL BE NO CHANGE IN INEQUALITY SIGN)
now when you divide by 2 we get: $$Z> \frac{10}{2}$$

HOPE its clear.

Hi blueseas,

Firstly thanks for these quick responses, really appreciate it
Now, the thing is I had apprehensions at the very first step when you moved "Z" on left hand side to get 2Z>10. Could you explain that part because at this step we don't know the polarity of Z and hence we shouldn't move it around since we won't know its impact on the equality sign.
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GPA: 3.6
Re: Is Z > 10 - Z ?  [#permalink]

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10 Aug 2013, 23:05
1
nick28 wrote:
blueseas wrote:
GREAT thats a good HABIT.
TAKE A RULE: IN EQUALITIES YOU CAN MULTIPLY/DIVIDE A POSITIVE NUMBER WITHOUT CHANGING THE SIGN OF EQUALITY.
OK NOW IN THIS CASE.
i think you will be OK till here.: $$2Z > 10$$
now since 2 is positive i am dividing both sides with 2 .(SINCE 2 IS POSITIVE NUMBER THERE WILL BE NO CHANGE IN INEQUALITY SIGN)
now when you divide by 2 we get: $$Z> \frac{10}{2}$$

HOPE its clear.

Hi blueseas,

Firstly thanks for these quick responses, really appreciate it
Now, the thing is I had apprehensions at the very first step when you moved "Z" on left hand side to get 2Z>10. Could you explain that part because at this step we don't know the polarity of Z and hence we shouldn't move it around since we won't know its impact on the equality sign.

INEQUALITY SIGN DOESNT CHANGE WHEN WE ADD OR SUBTRACT SAME THING FROM BOTH SIDE,

check this out:
help-me-understand-the-flipping-of-the-inequality-sign-94994.html#p735418

so in our case:
$$Z > 10-Z$$
now we will add Z TO BOTH SIDES (SO THERE WILL BE NO CHANGE IN INEQUALITY SIGN)
so it will become:
$$Z> \frac{10}{2}$$

LET ME KNOW IF STILL NOT CLEAR.
_________________
When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...

learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat-analytical-writing-assessment
Intern
Status: Bring it on.....!
Joined: 11 Jul 2013
Posts: 26
Location: India
Concentration: Technology
GMAT 1: 660 Q49 V31
Re: Is Z > 10 - Z ?  [#permalink]

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11 Aug 2013, 00:15
blueseas wrote:
INEQUALITY SIGN DOESNT CHANGE WHEN WE ADD OR SUBTRACT SAME THING FROM BOTH SIDE,

check this out:
help-me-understand-the-flipping-of-the-inequality-sign-94994.html#p735418

so in our case:
$$Z > 10-Z$$
now we will add Z TO BOTH SIDES (SO THERE WILL BE NO CHANGE IN INEQUALITY SIGN)
so it will become:
$$Z> \frac{10}{2}$$

LET ME KNOW IF STILL NOT CLEAR.

YES GOT IT. thanks!
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Re: Is Z > 10 - Z ?  [#permalink]

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25 Jul 2017, 03:37
A-J = Z
A+J= 10
Combining (1) and (2) statements
A and J can be 5,5 or 6,4 or 4,6
All of these provide different results. One solution not possible.Therefore, E
Re: Is Z > 10 - Z ?   [#permalink] 25 Jul 2017, 03:37
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