The population of grasshoppers doubles in a particular field every year. Approximately how many years will it take the population to grow from 2000 grasshoppers to 1000000 or more? *** The guide tells me to do it manually, I wonder if there's a short cut? Such as using exponential growth formula. Th...

Hi, I have trouble understanding the bolded part in the explanationm for A in this problem, please help: The spatial relationships among the elements of Jan Micker’s 1652 masterwork Bird’s Eye View of Amsterdam, which he painted long before such a vantage point became possible, are much more subtle ...

Hi, I wonder if my approach to this problem is right: Is d negative? (1) e + d = -12 (2) e - d < -12 Since either statement alone is sufficient and we must combine them. I wonder if I can add the two statements together and first cancel out d to get: 2e < -24 so e<-12 Then plug that value b...

Though research remains to be done into the reasons why the Civil War was triggered, scholars do not regard slavery to be the sole cause. A) Though research remains to be done into the reasons why the Civil War was triggered, scholars do not regard slavery to be the sole cause. B) Though research re...

Geologists once thought that the molten rock known as lava was an underground remnant of Earth's earliest days, sporadically erupting through volcanoes ,but they now know that it is continuously created by the heat of the radioactivity deep inside the planet. was an underground remnant of Earth's ea...

Hi, I wonder if my approach to this problem is right. It took a long time to figure out though: I tried to rephrase the question: The figure PQRS seems like a parallelogram to me and the fact that question is asking whether length of segment PQ is less than length of segment SR makes me think of the...

That "if nothing else changes" is important for combining the two c1 = k / B c2 = k A^2 *** Even so, I also don't get how you combined them, mathematically, to get r = kA^2 / B. Can someone else explains this? Thanks! ... Hi Ben, Can you explain to me how you came up with r = kA^2 / B I ge...

I can't believe I spent 1 hour on solving this problem, after searching all sorts of different explanations provided by MGMAT staffs, Beat the gmat people and Knewton, eventually figured out a way from my own perspective, please let me know if my reasoning is correct: r= (A^2) C= (1/B) K Where C=som...

Hi Ron, Thanks for the great approach! I've learned so much from your replies and your lecture :) I thought up two other ways to tackle this when we combine both statements (given that I already know that either statement alone isn't sufficient), please let me know if my reasoning is correct, thanks...

If 3m=total cost of project. Than the most m can represent is 166,666. or 1/3 of 500,000. we know that m+L= cost of project which means L cant exceed 166,666r because we know P>L we know that profit is greater than labor. So yes profit is greater than 150,000 hi -- if you are going to work out d...

With your approach you can’t just plug e<-12 into either statement, because plugging into statement 2 is inconclusive. However, since you have both statements to use, you still have sufficient information because plugging into 1 tells you d is positive. A better approach though would be to subtr...

I got this question in my first attempt. But, the key to the question is that those who speak German also speak English, hence German only speakers = 0. We already know values for the rest of the variables from both statements combined, hence C is the solution and not E. more specifically: there ar...

I used a different approach, with the concept similar to that of "residuals", I would call it "difference" To better illustrate, let's look at an example: 1 3 7 8 12 median: 7 what's the mean? 6.2 Besides by doing sum/total amount of numbers in the set, there's another way to get...

Could you please explain why other choices are wrong ? (A) From studies of the bony house of the brain, which is the cranium, located in the back of the skull, come what scientists know about dinosaur brains.... This incorrectly refers to the brain as cranium(It should be the bony house of the brai...

D. What scientists know about dinosaur brains comes from studies of the cranium, the bony house of the brain located in the back of the skull Now come to think of it, I think besides the awkward "what" in the beginning of the sentence, it expresses the meaning of the sentence in a more con...