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If x is a positive number less than 10, is z greater than

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Re: If x is a positive number less than 10, is z greater than [#permalink]

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New post 13 Jul 2015, 16:41
I missed this question several times over a long time period UNTIL I realized that (1) could be easily be shown to be Sufficient by drawing the number number and seeing that the only way to draw it to satisfy the statement is such that z must be greater than the midpoint of x and 10.

(2) is obviously wrong, because we don't have a concrete value for x.

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Re: If x is a positive number less than 10, is z greater than [#permalink]

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New post 11 Jan 2016, 12:17
amitgovin wrote:
If x is a positive number less than 10, is z greater than the average (arithmetic mean) of x and 10?

(1) On the number line, z is closer to 10 than it is to x

(2) z = 5x


(1) X................Average...........Z.......10.......Z, as one can see, z is always greater than the average of 10+x
(2) z=5x
x=1, Average=10+1/2=5,5, z=5 NO
x=2, Average=10+2/2=6, z=10 YES
Answer A
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Re: If x is a positive number less than 10, is z greater than [#permalink]

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New post 18 Oct 2016, 02:41
Bunuel wrote:
chamisool wrote:
just wondering about statement 1, am i misunderstanding the question?

"on the number line, z is closer to 10 than it is to x"

z = 11
x = 8
so z is closer to 10 than x is

is 11 > (8+10)/2
11 > (18/2) becomes 11 > 9 so the answer is YES

z = 9
x = 8
so z is closer to 10 than x is

is 9 > (8+10)/2
9 > (18/2) becomes 9 > 9 so the answer is NO

or is the question stating z is closer to 10 than z is to x? i interpreted it as z is closer to 10 than 10 is to x.


(1) says: "On the number line, z is closer to 10 than it is to x". Here "it" refers to z.

So, it's: "On the number line, z is closer to 10 than z is to x".

Similar question to practice: if-x-is-a-positive-number-less-than-10-is-z-less-than-the-131322.html

Hope it helps.


Dear Bunuel
I need your help for this similar question as following:
they changed the language in (a), confusing me to solve this

If x is a positive number less than 10, is z greater than average of x and 10?
a. z is closer to 10 than x on the number line
b. z = 5x

The highlight one means Z is closer to 10 than X is closer to 10? because if i understand that, the solution will be E, not A
Please correct me if i am wrong
Thanks

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Re: If x is a positive number less than 10, is z greater than [#permalink]

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New post 14 Nov 2017, 23:41
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Re: If x is a positive number less than 10, is z greater than   [#permalink] 14 Nov 2017, 23:41

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