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Data Sufficiency Pack 4, Question 3) On a number line...

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Data Sufficiency Pack 4, Question 3) On a number line...  [#permalink]

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New post 20 Nov 2015, 14:23
2
2
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

58% (02:05) correct 42% (02:03) wrong based on 131 sessions

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QUANT 4-PACK SERIES Data Sufficiency Pack 4 Question 3 On a number line...

On a number line, the distance from point A to zero is greater than the distance from point B to zero. Does point C lie between points A and B on the number line?

1) ABC > 0
2) |A| > |B| > |C|


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OA, and explanation will be posted after the 48 hour window closes.

This question is part of the Quant 4-Pack series

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Re: Data Sufficiency Pack 4, Question 3) On a number line...  [#permalink]

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New post 20 Nov 2015, 21:06
1
EMPOWERgmatRichC wrote:
QUANT 4-PACK SERIES Data Sufficiency Pack 4 Question 3 On a number line...

On a number line, the distance from point A to zero is greater than the distance from point B to zero. Does point C lie between points A and B on the number line?

1) ABC > 0
2) |A| > |B| > |C|


48 Hour Window Answer & Explanation Window
Earn KUDOS! Post your answer and explanation.
OA, and explanation will be posted after the 48 hour window closes.

This question is part of the Quant 4-Pack series

Scroll Down For Official Explanation


1) ABC > 0
When AB < 0 => A, B are opposite by ZERO point => C < 0, but we cannot make sure C lies between A and B or not

=> Insufficient

2) |A| > |B| > |C|

If AB <0, C lies between A and B.
If AB> 0, C does not lie between A and B

Insufficient

(1) (2),

AB<0 => C < 0 AND lie between
AB>0 => C > 0 and does not lie between

Insufficient

ANS: E
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Re: Data Sufficiency Pack 4, Question 3) On a number line...  [#permalink]

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New post 22 Nov 2015, 00:47
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

On a number line, the distance from point A to zero is greater than the distance from point B to zero. Does point C lie between points A and B on the number line?

1) ABC > 0
2) |A| > |B| > |C|

There are 3 variables (A,B,C) and one inequality (|A-0|>|B-0|) in the original condition, 2 more equations in the given conditions, so there is high chance (C) will be the answer.
Looking at the conditions together,
in ABC>0, and |A-0|>|B-0|>|C-0|,

----------------|-----|----------|-------------------------------|-------- YES
B C 0 A

----------------|----------|-------|-----------------------------|------- NO
0 C B A
therefore the answer is E

For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.
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Re: Data Sufficiency Pack 4, Question 3) On a number line...  [#permalink]

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New post 24 Nov 2015, 22:22
2
EMPOWERgmatRichC wrote:
QUANT 4-PACK SERIES Data Sufficiency Pack 4 Question 3 On a number line...

On a number line, the distance from point A to zero is greater than the distance from point B to zero. Does point C lie between points A and B on the number line?

1) ABC > 0
2) |A| > |B| > |C|


Hi All,

From the first sentence, we're told that A is FARTHER from 0 on a number line than B is from 0. This essentially means that |A| > |B|. It's possible that these 2 variables are both positive, both negative or one of each. We're asked if point C falls between these two points on the number line. This is a YES/NO question. We can solve it by TESTing VALUES or using Number Properties.

1) ABC > 0

IF....
A = 5
B = 3
C = 4
Then the answer to the question is YES.

IF....
A = 5
B = 3
C = 2
Then the answer to the question is NO.
Fact 1 is INSUFFICIENT

2) |A| > |B| > |C|

IF....
A = 5
B = -3
C = 2
Then the answer to the question is YES.

IF....
A = 5
B = 3
C = 2
Then the answer to the question is NO.
Fact 2 is INSUFFICIENT

Combined, we know...
ABC > 0
|A| > |B| > |C|

IF....
A = 5
B = -3
C = -2
Then the answer to the question is YES.

IF....
A = 5
B = 3
C = 2
Then the answer to the question is NO.
Combined, INSUFFICIENT

Final Answer:

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Re: Data Sufficiency Pack 4, Question 3) On a number line...  [#permalink]

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Re: Data Sufficiency Pack 4, Question 3) On a number line... &nbs [#permalink] 30 Nov 2017, 19:47
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