<p>Writing:</p>
<ol>
<li>For all their talk about ecology, major companies have so far spent very little to fight pollution.</li>
</ol>
<p>(A) For all their talk
(B) In spite of the fact of their having talked
(C) Besides their having talked
(D) In addition to their talking
(E) Although there is talk between one and the other</p>
<p>Why is it A and not B? I've never heard/seen A used like that before. Why is B incorrect?</p>
<ol>
<li>Mediators were standing by, prepared to intervene in the labor dispute even though both sides had refused earlier offers for assistance. No error</li>
</ol>
<p>Why is the answer D? I chose A because I thought it would be "to intervene WITH" rather than "to intervene IN". Why is this incorrect?</p>
<ol>
<li>According to some theorists, what any particular bird can eat could change with even the slightest variation in the shape of its beak. No error</li>
</ol>
<p>Why is the answer E? I chose A because I was unfamiliar with the structure of the sentence (the "what" being at the beginning). Why is this incorrect?</p>
<p>Math:</p>
<ol>
<li>A four-digit integer, WXYZ, in which W, X, Y, and Z each represent a different digit, is formed according to the following rules.
<ol>
<li>X = W + Y + Z</li>
<li>W = Y + 1</li>
<li>Z = W - 5
What is the four-digit integer?</li>
</ol></li>
</ol>
<p>I couldn't even come up with an answer to this one, so I omitted it. The correct answer is 5940. How does one arrive at that answer?</p>
<ol>
<li>(Picture of a circle with two colors is shown)
As shown above, a certain design is to be painted using 2 different colors. If 5 different colors are available for the design, how many differently painted designs are possible?</li>
</ol>
<p>(A) 10
(B) 20
(C) 25
(D) 60
(E) 120</p>
<p>I chose E because 5! = 120. The correct answer, however, is B, 20. Can someone explain how to arrive at the correct answer?</p>
<p>That's all for now. Thanks in advance!
-stef1a</p>