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The median simply refers to the middle term in an ORDERED list of numbers. For example, if you were given this list... 3, 8, 2, 1, 6 ...first you'd order the numbers, then pick the middle value... 1,2,3,6,8 The median would be 3, because 3 is located at the center of the list. Or, if the number of t...
- by Rich@VeritasPrep
Thu Mar 03, 2011 7:37 am- Forum: Problem Solving
- Topic: median
- Replies: 9
- Views: 2112
I think you might be confusing your terminology. An arc is by its very nature a length, and therefore the "measure of an arc" is the same thing as the length of an arc. I also think that you're thinking of the basic definition of a radian . A radian is a central angle such that the resulti...
- by Rich@VeritasPrep
Tue Mar 01, 2011 9:12 am- Forum: Problem Solving
- Topic: Arcs
- Replies: 7
- Views: 2056
Take a look at this diagram: http://etc.usf.edu/clipart/49900/49948/49948_construction_md.gif Because it's an equilateral triangle, the lengths of arcs AB, BC, and AC are all equal. That means each is 1/3 of the total circumference of the circle. arc ABC is formed by joining arcs AB and BC, which ea...
- by Rich@VeritasPrep
Tue Mar 01, 2011 9:04 am- Forum: Problem Solving
- Topic: Equilateral triangle ABC is inscribed in a circle
- Replies: 6
- Views: 14811
First, just to clarify, I'm assuming you're labeling angles A and B as 30 and 20 with the knowledge that they would NOT be an inscribed-angle, central-angle pair. The diagram I linked to holds true for all cases. But if you treat 30 and 20 as central angles, then all you have to do is figure out wha...
- by Rich@VeritasPrep
Tue Mar 01, 2011 8:56 am- Forum: Problem Solving
- Topic: Arcs
- Replies: 7
- Views: 2056
Hey Thouraya, I'm wondering if you're actually thinking of the relationship between central angles and inscribed angles. If you take two points on the circumference of a circle and create a central angle (i.e. with the center as the third vertex), the resulting angle will always be twice as large as...
- by Rich@VeritasPrep
Tue Mar 01, 2011 8:42 am- Forum: Problem Solving
- Topic: Arcs
- Replies: 7
- Views: 2056
Hey Thouraya, Let's take a quick look at the sum of first n odd integers and the sum of the first n even integers: 1+3+5+7+...+(2n-1) 2+4+6+8+...+2n Notice that every term in the first series is 1 fewer than the corresponding term in the second. In fact, you can re-write the first series as follows:...
- by Rich@VeritasPrep
Tue Mar 01, 2011 8:36 am- Forum: Problem Solving
- Topic: Sum of Integers
- Replies: 7
- Views: 8444
Hey sal_xcool, First of all, the average time per question is more like 2 minutes, so no need to cut yourself off at 1:30! Also, keep in mind that 2 minutes is an AVERAGE. There are going to be some easier problems that you might solve in less than a minute, and some more difficult ones that take yo...
- by Rich@VeritasPrep
Thu Feb 24, 2011 9:51 pm- Forum: Problem Solving
- Topic: Speed question - NYC to Lake House
- Replies: 6
- Views: 2373
.20X + .15Y = 1.60 (where X is the number of 20-cent stamps and Y is the number of 15-cent stamps). You want to find the value of X ... (1) tells you that X+Y=9. This equation, along with the one from the prompt, gives you two independent equations with two variables. You can find the values of both...
- by Rich@VeritasPrep
Fri Aug 27, 2010 6:06 am- Forum: Data Sufficiency
- Topic: did Claire buy?
- Replies: 1
- Views: 1792
If point X is inside a circle with center O and radius 2, is point Y inside the same circle? (1) OX = 1. Nothing about Y. INSUFFICIENT (2) XY = 2.5. Diameter of the circle is 4, so XY could be entirely within the circle, in which case Y would be inside the circle. However, XY could be a line segment...
- by Rich@VeritasPrep
Fri Aug 27, 2010 6:01 am- Forum: Data Sufficiency
- Topic: Y inside the same
- Replies: 2
- Views: 1118
You can represent the prompt with an equation: F + X*A = 3.75 where F is the charge for the first hour, X is the number of additional hours, and A is the charge per additional hour. (1) tells you that F=0.75 and A=0.50. Therefore: .75 + .50X = 3.75 You can find X and can thus find the total number o...
- by Rich@VeritasPrep
Fri Aug 27, 2010 5:50 am- Forum: Data Sufficiency
- Topic: Nan’s total parking
- Replies: 1
- Views: 1158
Does the product jkmn equal 1?
(1) jk/mn = 1.
jk and mn could both be 1, in which case jkmn would be 1. But jk and mn could both be 2, in which case jkmn would be 4.
INSUFFICIENT
(2) j = 1/k and m = 1/n.
If j=1/k, then jk=1
If m=1/n, then mn=1.
Therefore, jkmn=1.
SUFFICIENT
- by Rich@VeritasPrep
Fri Aug 27, 2010 5:38 am- Forum: Data Sufficiency
- Topic: equal 1?
- Replies: 1
- Views: 1217
Hey Aliva, The prompt is made unnecessarily complex to try to confuse you. All the prompt really asks is whether or not s=3r+2. Statement (1): Either (3r + 2 - s) = 0 or (4r + 9 - s) = 0 This means either 3r+2 = s or 4r+9 = s If the first is true, then the answer to the prompt is yes. But if the sec...
- by Rich@VeritasPrep
Thu Aug 26, 2010 12:51 pm- Forum: Data Sufficiency
- Topic: How to attack this type of question???
- Replies: 2
- Views: 896
n(n+1)(n+2) will be divisible by 8 in two situations: 1. n is even. This is because n and n+2 would be consecutive even integers. Even integers always alternate between being multiples of 4 and NOT multiples of 4. So no matter what even integer you chose for n, there will always be a multiple of 4 b...
- by Rich@VeritasPrep
Thu Aug 26, 2010 12:37 pm- Forum: Problem Solving
- Topic: probability that n(n + 1)(n + 2)
- Replies: 1
- Views: 1375
- by Rich@VeritasPrep
Wed Aug 25, 2010 8:55 pm- Forum: Data Sufficiency
- Topic: GMAT Prep 2 DS Question
- Replies: 2
- Views: 1150
Unfortunately, no, because you've only tested one set of numbers. You managed to find a case for which the remainder will be 4. But that doesn't mean that there aren't cases for which the remainder will NOT be 4. As an analogy, if I ask if you whether or not a/b is odd, and you plug in a=6 and b=2, ...
- by Rich@VeritasPrep
Wed Aug 25, 2010 6:58 pm- Forum: Data Sufficiency
- Topic: Remainders - Tough one!
- Replies: 8
- Views: 1405