Questions+29-30

**Type of Question-** This type of question asks for the reader to compare pairs of contrasts and find the pair that does not work. **What you have to know-** To answer this question you have to be able to decipher a pair of contrast, and a pair that might display similar features but is not a contrast.
 * Question 29 **
 * What you have to do- ** You have to read through paragraph one again and pay closer attention to the contrasts given. Then you must eliminate the answers that do not fit what the question you are asked, and then circle the best answer.
 * Correct Answer is E **
 * Answer A- ** Answer A is wrong because it says in the first paragraph that “mathematics was a glorious combination of science and art.” In conclusion it is not a contrasted pair.
 * Answer B- ** Answer B is wrong because “a conjecture can be “obvious” or “unexpected.”” So since a conjecture can illustrate a sense of being “obvious” but “unexpected” it is not an contrasting pair.
 * Answer C- ** Answer C is wrong because “a result can be “trivial” or ‘beautiful”. Since both words can apply to one thing it does not make a contrasted pair.
 * Answer D- ** Answer D is incorrect because “a proof can be” ““surprising,” or, as Erdos would say, “straight from the Book.”” In conclusion a proof can be both “surprising” and “straight from the book” so they would not contrast each other.
 * Answer E- ** Answer E is correct because it is the only answer that has a contrasting pair.

**Type of Questio**n**-** This type of question asks the reader to analyze paragraph two and determine what it mainly displays. **Answer D-** Answer D is correct because the passage does present “a discussion of the Four Color Map Theorem” and it shows “an example of the tenacity of mathematicians.” Since both are correct this is the correct answer.
 * Question 30 **
 * What you have to know- ** In order to answer this question correctly you have to know how to determine what a paragraph is presenting. You also have to have a background information on the paragraph, to have that you should re-read the text a few times.
 * What you have to do- ** In order to answer this question you need to read the context closely and determine what the passage presents. You should also eliminate the wrong answers so you are left with the correct answer.
 * Correct Answer is D **
 * Answer A- ** Although this is true there is another answer that is also correct, so ultimately it is wrong.
 * Answer B- ** This is wrong because the paragraph does not present “a demonstration of the inherent simplicity of a mathematical problem.” But the II is correct but since I is not then it essentially is incorrect.
 * Answer C- ** Answer C is incorrect because again I is wrong because it does not display the mathematical problem. But III is correct, again though since I is incorrect this answer is wrong.
 * Answer E- ** This answer is incorrect because I is not presented in paragraph two, so although the other two are correct the answer is wrong.