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If J, 5, and V are points on the number line, what is the di

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If J, 5, and V are points on the number line, what is the di [#permalink]

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

If J, S, and V are points on the number line, what is the distance between 5 and V?

(1) The distance between J and S is 20.
(2) The distance between J and V is 25.

Data Sufficiency
Question: 11
Category: Arithmetic Properties of numbers
Page: 153
Difficulty: 600


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Re: If J, 5, and V are points on the number line, what is the di [#permalink]

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New post 31 Dec 2013, 07:12
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SOLUTION

If J, S, and V are points on the number line, what is the distance between 5 and V?

(1) The distance between J and S is 20.
(2) The distance between J and V is 25.

The answer to this question is E. Notice that we don't know relative positioning of the points on the number line:
Attachment:
Untitled.png
Untitled.png [ 22.84 KiB | Viewed 2741 times ]
Answer: E.
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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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Re: If J, 5, and V are points on the number line, what is the di [#permalink]

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New post 02 Jan 2014, 00:28
If J, 5, and V are points on the number line, what is the distance between 5 and V?

(1) The distance between J and 5 is 20.
(2) The distance between J and V is 25.


Sol:

We need to find the distance between 5 and V ie. l 5-V l

From St 1 we have the distance between J and 5. We can J anywhere to the left or right of 5 and the distance between them can be 20. So Possible values of J will be 25 or -15 . Not Sufficient

From St 2 we have the distance b/w J and V is 25. Not sufficient as we do not know the position relative to 5 on the number line

Combining we get there are the 2 values of J ie. -15 or 25 and thus value of V can be -40 or 10 (25 to the left or right of -15(J value)) or 50 or 0 (25 to the left or right of 25 (J value))

Hence 5- V can have multiple values.

Ans E
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Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 34029
Followers: 6081

Kudos [?]: 76349 [0], given: 9973

Re: If J, 5, and V are points on the number line, what is the di [#permalink]

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New post 05 Jan 2014, 11:29
Expert's post
1
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BOOKMARKED
SOLUTION

If J, S, and V are points on the number line, what is the distance between 5 and V?

(1) The distance between J and S is 20.
(2) The distance between J and V is 25.

The answer to this question is E. Notice that we don't know relative positioning of the points on the number line:
Image

Answer: E.
_________________

New to the Math Forum?
Please read this: 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.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Re: If J, 5, and V are points on the number line, what is the di [#permalink]

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New post 20 Feb 2016, 11:44
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Re: If J, 5, and V are points on the number line, what is the di   [#permalink] 20 Feb 2016, 11:44
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