Ainariel

Hi everyone, Well, the answer is [pi*sqrt (3)] / 6. Sorry for the confusion. I meant to say that sqrt(3) represents "square root of 3". Anyway, the way I solved it (that is, the LONG way) is that I split the hexagon into two triangles and one rectangle in the middle. I then took the triangles to be 30-60-90, and added up the areas of the triangles and the rectangle, and took the ratio of that with the area of the circle. I did end up getting the answer. Tina

hi ksan, That's pretty weird, huh? I would have thought that if B) were true, then A) would be also. What do you think? Tina

hi McKinsey, Which mini-test are you referring to? Did you mean the Princeton Review online tester? Tina

Hi everyone, I found this question on the PR online tester. It took me a while to figure this one out. I was wondering if there is a shorter way: :shy: In the figure above, a circle is inscribed in a hexagon (i.e. 6 equal-sided polygon) in which all the sides are equal. If r is the radius of the circle, what is the ratio of the area of the circle to the area of the hexagon? Ans: [pi*sqrt (3)] / 6 sqrt(3) = square root of 3 Thanks. Tina P.S. I hope the description would suffice. There was a diagram given, but for some reason, I couldn't paste it on here.

hi ccll11, Grazing is feeding on grass or pasture, e.g. a cow or horse grazes in a field; foragers search for food. Say the foragers are horses. They find grass and feed on them. Hi eagle, I think for Q2, the answer is C. Just as foragers feed on the food they find, gardeners pull out the weeds they find. Does this make sense? Tina

hi Vinay, "On the inside edge" means that the border of the land is untillable: (1000 x 20) + (1000 x 20) + (2000 x20) + (2000 x 20) = 120,000 ft squared Then there's another untillable part that cuts the field into two squares: 30 x 1000 = 30,000 ft. squared Total untillable land = 30,000 + 120,000 = 150,000 ft. squared Total land = 2000 x 1000 = 2,000,000 ft. sq % tillable land = (Total land - untillable land) / Total land = (2000,000 - 150,000) / 2000,000 x 100% = 92.5% Hence, 93% Btw, Vinay, are these questions from the 800score tests? Tina

hi vinay, There really isn't a formula for question 2. Let p = number of ponies, and let h = the number of horses. Question says 5/6 of the ponies have horseshoes ==> (5/6)p 1/2 of those ponies with horseshoes are icelandic ==> (1/2)(5/6)p = 5/12. This means, 5 out of 12 ponies are icelandic. There can be a minimum number of 12 ponies. Now, number of horses and ponies differ by 3. Therefore, there are a minimum of 15 horses. Total number of horses and ponies = 12 + 15 = 27 Hope this helps Tina

hi ksan, I think the answer is E). Since a could be 6 or -5, A and C can be eliminated immediately. I think -6 What do you think? Tina

hi Kuriang, 1. When I saw him the next day, I noticed that he had had a haircut Explanation: You need to make the time order clear. The haircut action happened before another past event, so you need to put it in past perfect. 2. I have had lunch already. Explanation: This is used to show that the event has recently passed. Hope these examples help :) Tina

hi Olin, D) is an extreme answer. You cannot assume that ONLY wealthy people would donate money just because they can get tax deductions. Similarly, you cannot expect ALL wealthy people to donate, either. The safe assumption is therefore A), where "at least some" wealthy people will donate. Hope this helps.:) Tina

hi ksan, Wouldn't the answer just be B? The number of hours worked by the salesmen is irrelevant to the question, so that statment alone would not solve the problem. If we look at statement 2, we see a ratio of salesmen to cars. salesmen:cars = 1:10 = 14:140 Therefore, the number of different cars sold on Monday is 140. Tina

Hi sujayath, If that's the case, then do you know what the answer is? Hmm, according to flounder's answer, the area IS 3.5. Tina

Hi kuriang, Sorry for the late reply. It sounds right to me. The problem is that it's not in any of the choices, right? :shy: Tina

hi kuriang, Well, there is definitely nothing wrong with the usage, "...or firms will face significant fines..". I just think that this doesn't go with choice B. That is, it wouldn't make sense to say, "the legislature proposed a bill requiring that all accounting records be retained by firms for at least five years, or face significant fines". Do you see what I mean? Tina

hi flounder, Does Q1 have anything to do with similar triangles? What I did was draw the square CEFA (clockwise, as written). Then I put B anywhere on line AC, and point D on line CE. F runs diagonally to C and the intersection between BD and CF is G. From my drawing, it looks as if CD is the same length as BG. Hence, we can say that triangle BCD should have the same area as BCG. If we draw a line from B to CF, then we get another point, say H. This gives us a triangle similar to triangle CDG. We already know that triangle BCD = BCH = 1; therefore, area of triangle BGH must be 1/2. That's only part of the quadrilateral BGFA we are interested in. We have another trapezoid to worry about. With this, we can draw three similar triangles to that of BCD, each with an area of 1. So we have the total area of BGFA: 3 + 0.5 = 3.5 That's what I have. Please let me know if this makes any sense. Tina