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Of the four numbers represented on the number line above, is

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Re: Of the four numbers represented on the number line above, is  [#permalink]

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New post 16 May 2018, 01:49
HI Experts,
Can someone please help me in knowing in solutions provided above , for option 1, Why we are considering that r will be the mid point of point Q, and S.
it not mentioned in question anywhere. are we depicting it from the Figure?
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Re: Of the four numbers represented on the number line above, is  [#permalink]

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New post 16 May 2018, 04:14
er.arun88 wrote:
HI Experts,
Can someone please help me in knowing in solutions provided above , for option 1, Why we are considering that r will be the mid point of point Q, and S.
it not mentioned in question anywhere. are we depicting it from the Figure?


R is not necessarily the midpoint of QS, it could be though and in this case R would be 0 but R could also be anywhere between Q and S. You could check for example THIS SOLUTION, which does not imply that R is the midpoint.
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Re: Of the four numbers represented on the number line above, is  [#permalink]

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New post 16 Jul 2018, 09:36
Bunuel wrote:
Image

Of the four numbers represented on the number line above, is r closest to zero?

(1) q = –s --> -s and s are on opposite sides of zero and zero is halfway between them. We can have two cases:

<-------(-s)---(r)---0-------(s)-------(t)------->
<---------(-s)-------0---(r)---(s)-------(t)------->

As you can see in either case r is closest to zero. Sufficient.

(2) –t < q --> -t and t are on opposite sides of zero and zero is halfway between them. We can have two cases:

<-------(-t)-------(q)------(r)-0-------(s)-------(t)------->
<-------(-t)-------(q)-(r)------0-(s)-------------(t)------->

As you can see in either r or s is closest to zero. Not sufficient.

Answer: A.



HOW DO WE KNOW THE NUMBERS ARE EQUALLY SPACED ?

The questions just says 4 numbers are represented in the number line. It can even be decimals right ?in that case this explanation doesn't hold good. I am confused here
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Re: Of the four numbers represented on the number line above, is  [#permalink]

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New post 16 Jul 2018, 10:11
sanathadiga wrote:
Bunuel wrote:
Image

Of the four numbers represented on the number line above, is r closest to zero?

(1) q = –s --> -s and s are on opposite sides of zero and zero is halfway between them. We can have two cases:

<-------(-s)---(r)---0-------(s)-------(t)------->
<---------(-s)-------0---(r)---(s)-------(t)------->

As you can see in either case r is closest to zero. Sufficient.

(2) –t < q --> -t and t are on opposite sides of zero and zero is halfway between them. We can have two cases:

<-------(-t)-------(q)------(r)-0-------(s)-------(t)------->
<-------(-t)-------(q)-(r)------0-(s)-------------(t)------->

As you can see in either r or s is closest to zero. Not sufficient.

Answer: A.



HOW DO WE KNOW THE NUMBERS ARE EQUALLY SPACED ?

The questions just says 4 numbers are represented in the number line. It can even be decimals right ?in that case this explanation doesn't hold good. I am confused here


We cannot assume that the points are equally spaced. None of the solutions here assumes that. Please re-read the thread. Hope it helps.
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Of the four numbers represented on the number line above, is  [#permalink]

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New post 16 Jul 2018, 10:40
Thanks. Understood the logic now when I substituted numbers .

when s=0.5 , q= -0.5 and since r has to be:

1) behind s and away from q ( say r=0.4 then q is 0.5 away from 0 and r is 0.4 away from 0)

2) ahead of q and away from s ( say r=-0.4 then q is 0.5 away from 0 and r is 0.4 away from 0)

Both case r is closer :) .

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Of the four numbers represented on the number line above, is  [#permalink]

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New post 18 Aug 2018, 06:17
Bunuel wrote:
Image

Of the four numbers represented on the number line above, is r closest to zero?

(1) q = –s --> -s and s are on opposite sides of zero and zero is halfway between them. We can have two cases:

<-------(-s)---(r)---0-------(s)-------(t)------->
<---------(-s)-------0---(r)---(s)-------(t)------->

As you can see in either case r is closest to zero. Sufficient.

(2) –t < q --> -t and t are on opposite sides of zero and zero is halfway between them. We can have two cases:

<-------(-t)-------(q)------(r)-0-------(s)-------(t)------->
<-------(-t)-------(q)-(r)------0-(s)-------------(t)------->

As you can see in either r or s is closest to zero. Not sufficient.

Answer: A.



Bunuel can you please answer one question :-) why on the mumber line you didnt indicate Q in statement one :?

And how can \(q\) be equal to \(–s\) ? :? these are two different numbers … :? on the other hand if \(q\) equals \(–s\) Then both Q and -S MUST BE THE SAME NUMBER :?

pushpitkc , chetan2u anybody somebody H.................E.......................L.....................P :)
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Re: Of the four numbers represented on the number line above, is  [#permalink]

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New post 19 Aug 2018, 01:21
1
dave13 wrote:
Bunuel wrote:
Image

Of the four numbers represented on the number line above, is r closest to zero?

(1) q = –s --> -s and s are on opposite sides of zero and zero is halfway between them. We can have two cases:

<-------(-s)---(r)---0-------(s)-------(t)------->
<---------(-s)-------0---(r)---(s)-------(t)------->

As you can see in either case r is closest to zero. Sufficient.

(2) –t < q --> -t and t are on opposite sides of zero and zero is halfway between them. We can have two cases:

<-------(-t)-------(q)------(r)-0-------(s)-------(t)------->
<-------(-t)-------(q)-(r)------0-(s)-------------(t)------->

As you can see in either r or s is closest to zero. Not sufficient.

Answer: A.



Bunuel can you please answer one question :-) why on the mumber line you didnt indicate Q in statement one :?

And how can \(q\) be equal to \(–s\) ? :? these are two different numbers … :?

pushpitkc , chetan2u anybody somebody H.................E.......................L.....................P :)



1) how can q=-s
This means q and s are of different signs and |q|=|s| and as q<s on the number line q is negative and s is positive.
Say s=3, so q=-s=-3 and 3 and -3 are different numbers.

2) why q is not marked
Because it is equal to -s and instead of q, we have marked -s..
And centre of s and -s is 0 as same value and different signs will be equidistant from 0
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Re: Of the four numbers represented on the number line above, is  [#permalink]

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New post 19 Aug 2018, 01:32
chetan2u wrote:
dave13 wrote:
Bunuel wrote:
Image

Of the four numbers represented on the number line above, is r closest to zero?

(1) q = –s --> -s and s are on opposite sides of zero and zero is halfway between them. We can have two cases:

<-------(-s)---(r)---0-------(s)-------(t)------->
<---------(-s)-------0---(r)---(s)-------(t)------->

As you can see in either case r is closest to zero. Sufficient.

(2) –t < q --> -t and t are on opposite sides of zero and zero is halfway between them. We can have two cases:

<-------(-t)-------(q)------(r)-0-------(s)-------(t)------->
<-------(-t)-------(q)-(r)------0-(s)-------------(t)------->

As you can see in either r or s is closest to zero. Not sufficient.

Answer: A.



Bunuel can you please answer one question :-) why on the mumber line you didnt indicate Q in statement one :?

And how can \(q\) be equal to \(–s\) ? :? these are two different numbers … :?

pushpitkc , chetan2u anybody somebody H.................E.......................L.....................P :)



1) how can q=-s
This means q and s are of different signs and |q|=|s| and as q<s on the number line q is negative and s is positive.
Say s=3, so q=-s=-3 and 3 and -3 are different numbers.

2) why q is not marked
Because it is equal to -s and instead of q, we have marked -s..
And centre of s and -s is 0 as same value and different signs will be equidistant from 0



chetan2u thank you very much for taking time to explain :) Great explanation :-)
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Re: Of the four numbers represented on the number line above, is  [#permalink]

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New post 21 Aug 2018, 02:36
Doesn't the GMAT state that all figures are drawn to scale and hence what looks equidistant, is intended to be equidistant. In this case, all points seem to have the same gap between them and hence Statement 2 should be sufficient to confirm that r is closest to 0 (because if s were closer to 0, -t would not be less than q and only r can the the closest to 0)
Please let me know where I'm going wrong.

Thanks!
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Re: Of the four numbers represented on the number line above, is  [#permalink]

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New post 21 Aug 2018, 04:52
swank wrote:
Doesn't the GMAT state that all figures are drawn to scale and hence what looks equidistant, is intended to be equidistant. In this case, all points seem to have the same gap between them and hence Statement 2 should be sufficient to confirm that r is closest to 0 (because if s were closer to 0, -t would not be less than q and only r can the the closest to 0)
Please let me know where I'm going wrong.

Thanks!


No you cannot infer that the points are equidistant from the figure.

OFFICIAL GUIDE:

Problem Solving
Figures: All figures accompanying problem solving questions are intended to provide information useful in solving the problems. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. he positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.

Data Sufficiency:
Figures:
• Figures conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2).
• Lines shown as straight are straight, and lines that appear jagged are also straight.
• The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero.
• All figures lie in a plane unless otherwise indicated.
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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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