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Sub 505 Level|   Word Problems|            
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Is William taller than Jane? (1) William is taller than Anna. (2) Anna Updated on: 13 Sep 2022, 02:53
Originally posted by Bunuel on 09 Dec 2014, 07:11.
Last edited by Bunuel on 13 Sep 2022, 02:53, edited 2 times in total.
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E
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83% (00:34) correct 17% (00:27) wrong based on 1243 sessions

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Is William taller than Jane?

(1) William is taller than Anna.
(2) Anna is not as tall as Jane.
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E
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Is William taller than Jane? (1) William is taller than Anna. (2) Anna 09 Dec 2014, 09:08
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statement 1: insufficient
We don't know if Anna is taller than Jane

statement 2: insufficient
We don't know if William is taller than Jane

Statement 1+2: insufficient
William is taller than Anna but Jane is also taller than Anna. We still do not know who is taller, William or Anna.

Answer E!
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Is William taller than Jane? (1) William is taller than Anna. (2) Anna 09 Dec 2014, 10:06
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Is William taller than Jane? We need to determine how their heights are related.

(1) William is taller than Anna. This is insufficient as we are given no information about Jane.
(2) Anna is not as tall as Jane. This is also insufficient as we are given no information about William. Also, we just know Anna and Jane's heights are not equivalent, not their relation.

Choice E--even if we combine, we only know that William is taller than Anna. Anna could be shorter or taller than Jane. Insufficient to determine how William's and Jane's heights are related.
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Is William taller than Jane? (1) William is taller than Anna. (2) Anna 26 Dec 2014, 16:59
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Bunuel

Tough and Tricky questions: Word Problems.



Is William taller than Jane?

(1) William is taller than Anna.
(2) Anna is not as tall as Jane.

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Need to find whether W>J

1. W>A --- Not sufficient
2. A<=J --- Not Sufficient

Combining both - Still not sufficient ---- Ans E
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Is William taller than Jane? (1) William is taller than Anna. (2) Anna 29 Sep 2015, 21:13
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Bunuel

Tough and Tricky questions: Word Problems.



Is William taller than Jane?

(1) William is taller than Anna.
(2) Anna is not as tall as Jane.

Kudos for a correct solution.
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VERITAS PREP OFFICIAL SOLUTION:

Question Type: Yes/No. This question asks whether William is taller than Jane.

Given information from the question stem: The question asks whether William is taller than Jane. If you can show that William is DEFINITELY taller than Jane or that William is DEFINITELY NOT taller than Jane, the statement (or statements) is sufficient.

Statement 1: You can write this as W > A (William taller than Anna). This is not sufficient because we do not know anything yet about Jane. Choices A and D are eliminated.

Statement 2: You can write this as A < J (Anna is not as tall as Jane). This is not sufficient because it provides no information about William. Choice B is eliminated.

Together: Taken together, you can write the statements as:
W > A, and J > A

Note that it’s important to get the inequalities pointed in the same direction (Statement 2 was given as A < J, but that also means that J > A). This helps you to notice that both William and Jane are taller than Anna, but that is all you can conclude. You still have no way to establish the relationship between William and Jane. Because you do not have enough information even taken together, the answer is E.
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Is William taller than Jane? (1) William is taller than Anna. (2) Anna 20 Dec 2015, 21:38
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W > J ?

I: W >A Insufficient
II: J > A Insufficient

I + II:
Both statements indicates that William and Jane both are taller than Anna. But there is not cue, who is more taller among William or Jane.

Insufficient

E is correct answer.
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Is William taller than Jane? (1) William is taller than Anna. (2) Anna 21 Dec 2015, 22:35
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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.

Is William taller than Jane?

(1) William is taller than Anna.
(2) Anna is not as tall as Jane.

In the original condition, there are 2 variables(w,j) and in overall 3 variables(w,j,a), which should match with the number of equations. So you need 3 equations. For 1) 1 equation, for 2) 1 equation, which is likely to make E the answer. In 1) & 2), they become w>a and j>=a, but j and w cannot be compared, which is not sufficient. Therefore, the answer is E.


-> For cases where we need 3 more equations, such as original conditions with “3 variables”, or “4 variables and 1 equation”, or “5 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 80% chance that E is the answer (especially about 90% of 2 by 2 questions where there are more than 3 variables), while C has 15% 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 E 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, C or D.
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Is William taller than Jane? (1) William is taller than Anna. (2) Anna 04 Oct 2024, 06:56
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