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Retired Moderator

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line shown above, the tick marks are equally spaced
[#permalink]
16 Dec 2015, 04:28

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Question Stats:

Attachment:

#GREpracticequestion On the number line shown above, the tick marks.jpg [ 5.25 KiB | Viewed 10101 times ]

On the number line shown above, the tick marks are equally spaced. Which of the following statements about the numbers x, y, and z must be true?

Indicate all such statements.

A. \(xyz<0\)

B. \(x+z=y\)

C. \(z( y−x)>0\)

Practice Questions

Question: 14

Page: 154

Difficulty: medium

Question: 14

Page: 154

Difficulty: medium

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Re: line shown above, the tick marks are equally spaced
[#permalink]
16 Dec 2015, 04:45

1

Expert Reply

Solution

The numbers must be equally spaced just pick 3 numbers

\(-1\), \(1\)and \(2\)

1) \(-1 * 1* 2 < 0\) OK

2) \(-1 + 2 = 1\)OK

3) \(2 * ( 1 + 1 ) > 0\) Ok

The answer is \(A\), \(B\) and \(C\)

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The numbers must be equally spaced just pick 3 numbers

\(-1\), \(1\)and \(2\)

1) \(-1 * 1* 2 < 0\) OK

2) \(-1 + 2 = 1\)OK

3) \(2 * ( 1 + 1 ) > 0\) Ok

The answer is \(A\), \(B\) and \(C\)

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Re: line shown above, the tick marks are equally spaced
[#permalink]
10 Apr 2016, 21:22

2

Expert Reply

1

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Let's try this one algebraically, at least partly, by taking advantage of the predictable properties of the products of positive / negative numbers in #1 and #3.

Concept:

(negative)(negative) = positive

(positive)(negative) = negative

(negative)(negative) = positive

No exceptions!

Thus:

1) (-)(+)(+) = + > 0

2) plugging in numbers is easier for this one.

3) (+)(positive - negative) = (+)(+--) = (+)(+) = + > 0

_________________

Concept:

(negative)(negative) = positive

(positive)(negative) = negative

(negative)(negative) = positive

No exceptions!

Thus:

1) (-)(+)(+) = + > 0

2) plugging in numbers is easier for this one.

3) (+)(positive - negative) = (+)(+--) = (+)(+) = + > 0

_________________

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Re: line shown above, the tick marks are equally spaced
[#permalink]
03 Sep 2018, 15:19

1

here X is -ve

Y is +ve

Z is +ve.

Option i) is true. as X*Y*Z is negative.

Option ii) is true as X, Y and Z are equally spaced.

Option iii) is true as Y-(-X) = Y+X is positive.

Y is +ve

Z is +ve.

Option i) is true. as X*Y*Z is negative.

Option ii) is true as X, Y and Z are equally spaced.

Option iii) is true as Y-(-X) = Y+X is positive.

line shown above, the tick marks are equally spaced
[#permalink]
14 Aug 2021, 06:03

1

Picking numbers is a good choice here. In this case, I chose x = -10, y = 10, z = 20.

A: negative * positive * positive = negative, so this is true.

B: -10 + 20 = 10, so that one works.

C: 20(10 - (-10)) = 400 and 400 > 0, so that one is also true.

Hence, ABC.

A: negative * positive * positive = negative, so this is true.

B: -10 + 20 = 10, so that one works.

C: 20(10 - (-10)) = 400 and 400 > 0, so that one is also true.

Hence, ABC.

gmatclubot

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