Some ambiguous questions - explanation needed

<p>Dear colleagues,</p>

<p>could anyone explain these to me?</p>

<ol>
<li><a href="http://img256.imageshack.us/img256/8338/practicetest2s2q20.jpg%5B/url%5D"&gt;http://img256.imageshack.us/img256/8338/practicetest2s2q20.jpg&lt;/a&gt;&lt;/li>
<li><a href="http://img838.imageshack.us/img838/1790/practicetest2s6q13.jpg%5B/url%5D"&gt;http://img838.imageshack.us/img838/1790/practicetest2s6q13.jpg&lt;/a&gt;&lt;/li>
<li><a href="http://img513.imageshack.us/img513/7169/practicetest2s6q2123.jpg%5B/url%5D"&gt;http://img513.imageshack.us/img513/7169/practicetest2s6q2123.jpg&lt;/a&gt;&lt;/li>
<li><a href="http://img72.imageshack.us/img72/266/practicetest2s6q2628.jpg%5B/url%5D"&gt;http://img72.imageshack.us/img72/266/practicetest2s6q2628.jpg&lt;/a&gt;&lt;/li>
<li><a href="http://img684.imageshack.us/img684/8594/practicetest2s10q11b.jpg%5B/url%5D"&gt;http://img684.imageshack.us/img684/8594/practicetest2s10q11b.jpg&lt;/a&gt;&lt;/li>
<li><a href="http://img24.imageshack.us/img24/1738/practicetest2s10q14d.jpg%5B/url%5D"&gt;http://img24.imageshack.us/img24/1738/practicetest2s10q14d.jpg&lt;/a&gt;&lt;/li>
</ol>

<p>thank you in advance</p>

<p>1: Realize that if a circle passes through A, C, B, and D, then the line segment that connects A and C or B and D will be the diameter. To calculate this diameter, consider drawing a triangle by utilizing the points. A triangle can connect A, D, and C, for example. You must realize that AD is the same as AC, and the side length ‘6’ for the overall square was given to you. Using this, we know that each of the smaller squares have side length ‘2’, and that A and D are both length ‘1’ from the overall side of the square, or from their own square (because they’re in the middle of it). So, the distance will be 6-2=4. Now, using the Pythagorean Theorem, we find that 4^2 + 4^2 = c^2, with c itself being sqrt(32). Now, this is the diameter, so we must divide it by 2 to gain the radius.</p>

<p>The question, finally, asks us for the area. Our radius is (sqrt(32))/2, and we must square it. We get 32/4 = 8. The area of our circle is 8pi.</p>

<ol>
<li><p>The length of each smaller square is 2. The diagonal of each smaller square is 2(sqrt/2) ( using the pythagorean theorem, 2^2+2^2=d^2). Because the circle passes through A, B, C, and D, line AC is a diameter since they are directly across. The diagonal of the smaller square, 2(sqrt(2)) is the same for each square, so we can tell by the picture that AC is the diagonal of the middle square and half the diagonal of square A and square C. So AC= 2(sqrt 2) + sqrt(2) + sqrt(2) = 4sqrt (2). Thus the radius is half the diameter or 2(sqrt (2)) and the area is thus pi r^2 = 8pi.</p></li>
<li><p>E, no error. All verb tenses and such are correct.</p></li>
<li></li>
<li><p>D, the correct wording is “became” to keep the consistent past verb tense as used previously with “was the”</p></li>
<li><p>D. Diction error. “Indecisive” isn’t the best wording. “undecided” would be correct.</p></li>
<li><p>E no errors.</p></li>
<li><p>26 A. You don’t refer to people as “which.” “Whom” is the correct wording.</p></li>
<li><p>C. The “latter” is referring to “his or her” which is singular and “news reporters” which is plural. “Their” would be the correct wording.</p></li>
<li><p>B. “Increasingly more urgent” is wrong and redundant; we want “increasingly urgent.” choice D is too wordy.</p></li>
<li><p>Pretty sure it’s D. Least awkward of the 5 choices.</p></li>
</ol>

<p>Thank you :)</p>

<p>I found out that last one is E :slight_smile: </p>

<p>Thank you for great explanation.</p>