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If the distance from castle to the moat is r, then the total length of all the pathways = (length of the circular pathway) + (length of the square pathway) + (length of the four straight pathways from the castle to the moat) = (2*pi*r) + 4*(root(2)*r) + 4*r = q Solve for 'r' from this equation and y...

by gmat_and_me

Fri Jun 22, 2012 10:25 pm
Forum: Problem Solving
Topic: manhattan cat geometry question help me.
Replies: 6
Views: 2453

Probability is not the problem. Counting is the problem that most people find tough. Internet is a vast resource. Start looking at simple resources that explain what permutation and combination are. Then solve simple problems and get your basics right. Once you are comfortable, you can graduate to t...

by gmat_and_me

Fri Jun 22, 2012 5:09 am
Forum: Problem Solving
Topic: how to undersatand probability
Replies: 3
Views: 1373

ARC BF = 1/6-th => BAF = 60 degree => BAF is an equilateral triangle. => radius of the circle = 2 Now area of the shaded portion = Area of triangle ACE - Area of sector AFEA Area of triangle ACE = 1/2 * base * height = 1/2 * 2 * 2 (since AE = 2 and AB = 2) = 2 Area of sector AFEA = 1/12-th of area o...

by gmat_and_me

Fri Jun 22, 2012 4:56 am
Forum: Problem Solving
Topic: Area of shaded region
Replies: 2
Views: 2055

If you have posted the question right, then D is the answer. In
general, if you break down a number into it's prime factors,

X = (p)^a * (p1)^b * ...

then the number of different factors will be (a+1) * (b+1) *...

and so on...

HTH

by gmat_and_me

Fri Jun 22, 2012 4:33 am
Forum: Problem Solving
Topic: Help needed
Replies: 4
Views: 2381

Given the 5 choices in the exam, I will pick C. Having said that, C changes the meaning of the sentence (as per me), and I can not agree with Karthik's explanation. If we are talking about last century and current century, last century is past and hence the construction, I feel, is wrong. "stat...

by gmat_and_me

Tue Jun 19, 2012 7:30 am
Forum: Sentence Correction
Topic: Despite the recent election of a woman
Replies: 8
Views: 3355

This approach doesn't seem correct. First of all this is a problem without replacement. That means that every time you pick a ball, the denominator for calculation of probability has to decrease by 1. So, _as per your method_, the probability will have to be 2/8 * 3/7 * 2/6 * 3/5 * 2/4 = 3/280 (in t...

by gmat_and_me

Tue Jun 19, 2012 7:15 am
Forum: Problem Solving
Topic: Probability question
Replies: 12
Views: 3428

Is the the answer C ? Originally the company would have had 122 * 122 codes. With the addition of the two new codes, the total will be 124 * 124. So, additional codes will be 122 * 2 + 2 * 124 (if you want to look at the problem without doing complex calculation). HTH The telephone company wants to ...

by gmat_and_me

Tue Jun 19, 2012 4:55 am
Forum: Problem Solving
Topic: Permutation
Replies: 10
Views: 1793

Hello KapTeacherEli, For some reason the poster of the question changed the complete question. My responses were for the questions mentioned in http://www.beatthegmat.com/weak-on-geometry-t114255.html If you know the sources and the complete question for the above thread, please do give further insi...

by gmat_and_me

Mon Jun 18, 2012 7:02 pm
Forum: Problem Solving
Topic: Airthmetic
Replies: 8
Views: 1725

I think option C should ideally be "has changed little from how it was".
D is not definitely not right. You should probably not rack your brains
about this question.

HTH

by gmat_and_me

Mon Jun 18, 2012 5:27 am
Forum: Sentence Correction
Topic: Despite the recent election of a woman
Replies: 8
Views: 3355

Statement 1 alone should be sufficient here, if I'm right. ABC similar to XYC similar to RSC. Since they are similar, area of RSC should be 1/16-th of area of ABC (how ? For triangle XYC, XY = 1/2 AB (similar triangles, CX = 1/2 AC, CY = 1/2 BC). Similarly, height of XYC = 1/2 height of ABC. So area...

by gmat_and_me

Sat Jun 16, 2012 10:30 pm
Forum: Data Sufficiency
Topic: OG 12190 DS
Replies: 2
Views: 1054

Nearest mile, as I understand, is 0.5 < X < 1.5 because anything slightly above .5 is nearer to 1 than to 0 and anything infinitesimally less than 1.5 is nearer to 1. For example anything between 224.50000....1 to 225.499......9 should be 225. You can approximate this range to be between 224.5 and 2...

by gmat_and_me

Sat Jun 16, 2012 10:06 pm
Forum: Problem Solving
Topic: "Rounded to the nearest" - What does that term mea
Replies: 2
Views: 12944

There are actually 6 people. If you see my first post, you can ignore the condition that one person in absent, since empty chair in one of the places is also an arrangement. For eg: Alex Empty_Chair 3 4 5 6 is different from Empty_Chair Alex 3 4 5 6 right ? HTH Let's take one instance of this arrang...

by gmat_and_me

Sat Jun 16, 2012 6:52 pm
Forum: Problem Solving
Topic: Probability Question ..Need expert help
Replies: 18
Views: 3414

Your first solution is very nice. I can not make sense of 2 and 3. 4 you are part right. The mistake that you made in 4 is that you used combination in denominator while you did not use combination in numerator. Look at it this way. First card you can select from any of the 52 cards. But the second ...

by gmat_and_me

Fri Jun 15, 2012 7:31 am
Forum: Problem Solving
Topic: Probability MGMAT
Replies: 15
Views: 4254

Sum of the roots of the equation ax^2 + bx + c = 0
is -b/a

Product of the roots = c/a

roots of such an equation are

(-b + rootof(b^2 - 4ac)) / 2a

and

(-b - rootof(b^2 - 4ac)) / 2a

HTH

by gmat_and_me

Fri Jun 15, 2012 5:55 am
Forum: Problem Solving
Topic: 300 tough Algebra
Replies: 20
Views: 39581

I do not think that these problems are solvable with the data provided. Unfortunately these problems does not provide any answers. If you would like to help me it is up to you. It is a complete problem. Thanks. Huh ? It is up to me ? Yeah, really not needed OK. Will you mind posting the complete pro...

by gmat_and_me

Fri Jun 15, 2012 5:46 am
Forum: Problem Solving
Topic: Airthmetic
Replies: 8
Views: 1725