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Veritas Prep Representative
Joined: 21 Jan 2010
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10 Dec 2013, 21:33
Welcome to the Veritas Prep Blog feed. New posts will be added periodically, so check back or follow this thread for informative GMAT Prep and Admissions articles.
Veritas Prep Representative
Joined: 21 Jan 2010
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10 Dec 2013, 22:00
 FROM Veritas Prep Admissions Blog: Elementary, My Dear Watson! While eagerly awaiting the kick off of season 3 of BBC’s Sherlock, let’s put our time to good use. Though we have already spent a lot of it speculating over what really happened to Sherlock (HOW did he come back?!), perhaps we can take a leaf out of his book and learn to notice little things in whatever is leftover. There is a good reason to do that – there are little clues in some questions that the test maker unwittingly leaves to bring clarity to the question. If we understand those clues, a seemingly mysterious problem could be easily unraveled. Let us show you with an example.Question: Peter and Jacob are at the northwest corner of a field, which is a rectangle 300 ft long and 160 ft wide. Peter walks in a straight line directly to the southeast corner of the field. If Jacob walks 180 ft down the west side of the field and then walks in a straight line directly to the southeast corner of the field, what is the difference in the distance traveled by the two?(A) 20(B) 40(C) 80(D) 120(E) 140Solution: The first thing we do in these “direction” questions is draw the diagram. But there is a problem here: how do we decide the orientation of the rectangle? It could be either of these two.A few things help us decide this. There are two definitions of length:1. Length is the longest side of the rectangle.2. Width is from side to side and length is whatever width isn’t (i.e. the side from up to down in a rectangle) (this definition is less embraced than the first one)If the side from up to down is the longest side, then there is no conflict.Keeping this in mind, when drawing the figure, given that length is the longer of the two, one could make the rectangle on the left and there will be no conflict. But the question maker may not want to take for granted that you know this.So he/she leaves a clue – the question mentions that ‘Jacob walks 180 ft down the west side of the field’. There needs to be at least 180 ft on the west side of the field for him to travel that much. So the orientation on the left makes sense. This is something the question maker would have put to try to give you a hint of the orientation. Now that we know what our diagram should look like, we can proceed to solve this question.If you just remember some of your pythagorean triplets, this question can be solved in moments (and that’s why we suggest you to remember them!) If not, it would involve some calculations.QR = 160, RS = 300So QR:RS = 8:15Remember 8-15-17 pythagorean triplet? (the third triplet after 3-4-5 and 5-12-13)Since the two sides are in the ratio 8:15, the hypotenuse must be 17. The common multiplier is 20 so QS  should be 17*20 = 340Therefore, Peter traveled 340 feet.TP = 120, PS = 160TP:PS = 3:4Does it remind you of 3-4-5 triplet?120 is 3*40 and 160 is 4*40 so TS will be 5*40 = 200So Jacob traveled a total distance of 180 + 200 = 380 feet.Difference between the distance traveled = 380 – 340 = 40 feetNote: The following triplets come in handy: (3, 4, 5) (5, 12, 13) (8, 15, 17) (7, 24, 25) (20, 21, 29) and (9, 40, 41)Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMATfor Veritas Prep and regularly participates in content development projects such as this blog!
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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10 Dec 2013, 22:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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11 Dec 2013, 09:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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12 Dec 2013, 11:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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12 Dec 2013, 14:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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Veritas Prep Representative
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13 Dec 2013, 14:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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16 Dec 2013, 10:00
1
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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17 Dec 2013, 10:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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18 Dec 2013, 12:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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19 Dec 2013, 11:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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20 Dec 2013, 16:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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23 Dec 2013, 10:00
 FROM Veritas Prep Admissions Blog: How to Identify Terminating Decimals on the GMAT We know the basics of decimals and rational numbers.-   Decimals can be rational or irrational.- Decimals which terminate and those which are non-terminating but repeating are rational. They can be written in the form a/b.-  Decimals which are non-terminating and non-repeating are irrational such as √2, √3 etc.The problem comes when we get a question based on these basics. That’s when we realize that our basics are not as strong as we assumed them to be. For example, look at this question:Question: Which of the following fractions has a decimal equivalent that is a terminating decimal?(A) 10/189(B) 15/196(C) 16/225(D) 25/144(E) 39/128If your first thought is that we will simply divide the numerator by the denominator in each case and figure out which terminates and which doesn’t, you must realize that that is a very time consuming process. There has to be another logical approach to this problem. Well, here it is:A fraction in its lowest term can be expressed as a terminating decimal if and only if the denominator has powers of only 2 and/or 5. Let’s try to understand the logic behind it.Say, a and b are two integers.a/b = a * 1/bFor a/b to be terminating, 1/b must be a terminating decimal. What happens when you start dividing 1 by b? You add a decimal point and start adding 0s. You will get 1 followed by as many 0s as you require in the numerator. 10/100/1000/10000 etc have only two prime divisors: 2 and 5. If the denominator has 2s or 5s or both, we will be able to terminate the decimal by choosing the required multiple of 10. If there are any other primes, we will never be able to divide a multiple of 10 completely and hence the decimal will not terminate. It is obvious, isn’t it?1/3 = .333333333333333333…1/7 = .142857142857142857…1/11 = .09090909090909090…Now the question we posed above is quite simple. Let’s look at it again.Question 1: Which of the following fractions has a decimal equivalent that is a terminating decimal?(A) 10/189(B) 15/196(C) 16/225(D) 25/144(E) 39/128Only option (E) has a denominator of the form 2^a*5^b.128 = 2^7Therefore, 39/128 will terminate. All the other denominators have other prime numbers as well and hence will not terminate.Using the same concepts, let’s look at another question.Question 2: If 1/(2^11 * 5^17) is expressed as a terminating decimal, how many non-zero digits will the decimal have?(A) 1(B) 2(C) 4(D) 6(E) 11Solution:First realize that 2^11 * 5^17 = 2^11 * 5^11 * 5^6 = 10^11 * 5^6So 1/(10^11 * 5^6)  is just 0.00…001/5^6.Now let’s try to figure out the answer intuitively:What do you get when you divide .01 by 5? You get .002. You write 0s till you get 10 and then you get a non-zero digit.What do you get when you divide .01 by 125 (which is 5^3)? You get .00008.Do you notice something? The non zero term is 8 = 2^3The reason is this: You have 1 followed by as many 0s as you require in the dividend. 125 = 5^3 so you will need 2^3 i.e. you will need 10^3 as the dividend and then 125 will be able to divide it completely (i.e. the decimal will terminate).Now, using the same logic, what will be the non zero digits if you are dividing .00001 by 625?625 = 5^4. You will need 2^4 = 16 to get 10^4 and that will end the terminating decimal. So you will have two non 0 digits: 16What will you get when you divide .000…0001 by 5^6? Your non zero digits will be 2^6 = 64 i.e. you will have 2 non-zero digits.Another way to look at the problem is this:1/(10^11 * 5^6)  = 2^6/(10^17) (multiply and divide by 2^6)= 64/(10^17)Since the denominator is a power of 10, it will just move the decimal 17 places to the left. The non-zero digits will remain 64 only i.e. 2 digits.Answer (B)We will look at some DS questions on terminating and non terminating decimals next week.Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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24 Dec 2013, 15:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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25 Dec 2013, 11:00
 FROM Veritas Prep Admissions Blog: Happy Holidays from Veritas Prep! Merry Christmas, and happy holidays from our Veritas Prep family to yours! We thank you all for another great year, and we are very excited for 2014. Many thanks to all of our loyal readers, students, instructors, and consultants for being a part of our team this year.Take a break this holiday season, and treat yourself to some R&R before the next round of application deadlines!Best wishes for ringing in the New Year,The Veritas Prep Team
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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Marisa

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Joined: 21 Jan 2010
Posts: 65

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26 Dec 2013, 10:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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Marisa

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Posts: 65

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27 Dec 2013, 09:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

_________________

Marisa

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30 Dec 2013, 11:00
 FROM Veritas Prep Admissions Blog: Terminating Decimals in Data Sufficiency on the GMAT Last week, we discussed the basics of terminating decimals. Let me review the important points here:-  To figure out whether the fraction is terminating, bring it down to its lowest form.-  Focus on the denominator – if it is of the form 2^a * 5^b, the fraction is terminating, else it is not. Keeping this in mind, let’s look at a couple of DS questions on terminating decimals.Question 1: If a, b, c, d and e are integers and m = 2^a*3^b and n = 2^c*3^d*5^e, is m/n a terminating decimal?Statement 1: a > cStatement 2: b > dSolution:Given: a, b, c, d and e are integersQuestion: Is m/n a terminating decimal?Or Is (2^a*3^b)/(2^c*3^d*5^e)?We know that powers of 2 and 5 in the denominator are acceptable for the decimal to be terminating. If there is a power of 3 in the denominator after reducing the fraction, then the decimal in non- terminating. So our question is basically whether the power of 3 in the denominator gets canceled by the power of 3 in the numerator. If b is greater than (or equal to) d, after reducing the fraction to lowest terms, it will have no 3 in the denominator which will make it a terminating decimal. If b is less than d, even after reducing the fraction to its lowest terms, it will have some powers of 3 in the dominator which will make it a non-terminating decimal.Question: Is b >= d?Statement 1: a > cThis statement doesn’t tell us anything about the relation between b and d. Hence this statement alone is not sufficient.Statement 2: b > dThis statement tells us that b is greater than d. This means that after we reduce the fraction to its lowest form, there will be no 3 in the denominator and it will be of the form 2^c * 5^e only. Hence it will be a terminating decimal. This statement alone is sufficient.Answer (B)Now onto another DS question.Question 2: If 0 < x < 1, is it possible to write x as a terminating decimal?Statement 1: 24x is an integer.Statement 2: 28x is an integer.Solution:Given: 0 < x < 1Question: Is x a  terminating decimal?Again, x will be a terminating decimal if it is of the form m/(2^a * 5^b)Statement 1: 24x is an integer.24x = 2^3 * 3 * x = m (an integer)x = m/(2^3 * 3)Is x a terminating decimal? We don’t know. If m has 3 as a factor, x will be a terminating decimal. Else it will not be. This statement alone is not sufficient.Statement 2: 28x is an integer.28x = 2^2 * 7 * x = n (an integer)x = n/(2^2 * 7)Is x a terminating decimal? We don’t know. If n has 7 as a factor, x will be a terminating decimal. Else it will not be. This statement alone is not sufficient.Taking both together,m/24 = n/28m/n = 6/7Since m and n are integers, m will be a multiple of 6 (and thereby of 3 too) and n will be a multiple of 7. So x will be a terminating decimal.Answer (C)Karishma, a Computer Engineer with a keen interest in alternative Mathematical approaches, has mentored students in the continents of Asia, Europe and North America. She teaches the GMAT for Veritas Prep and regularly participates in content development projects such as this blog!
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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Marisa

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31 Dec 2013, 09:00
 FROM Veritas Prep Admissions Blog: Test Prep and Admissions: The Best of 2013 There goes another year. Faster than you can say “99th-percentile instructors,” 2013 has come and gone, leaving in its wake a trail of excellent Veritas Prep blog articles. As we start to wrap up the year here at Veritas Prep HQ, wrap our Secret Santa gifts, and prepare to break in the new hires at our annual holiday party, we thought this would be a good time to share some of our biggest news and most popular articles from the past year.We hope that this blog has provided you with some useful insights as you have prepared the GMAT or SAT, or as you have slaved over your applications. Sometimes we have a little fun, and sometimes we veer off topic to talk about what interests us, but everything written here comes from the same place: We want to help you get into the best possible universities and graduate schools you can get into!Without further ado, here is the Best of the Veritas Prep Blog, 2013 edition:Thanks for reading! We hope you were helped a lot, and entertained at least a little bit. Have a wonderful and safe holiday, and we will see you in 2014!By Scott Shrum
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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Marisa

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01 Jan 2014, 18:00
ForumBlogs - GMAT Club’s latest feature blends timely Blog entries with forum discussions. Now GMAT Club Forums incorporate all relevant information from Student, Admissions blogs, Twitter, and other sources in one place. You no longer have to check and follow dozens of blogs, just subscribe to the relevant topics and forums on GMAT club or follow the posters and you will get email notifications when something new is posted. Add your blog to the list! and be featured to over 300,000 unique monthly visitors

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Marisa

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