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i understand till here, why did we do after that 8 +8? Because the question said "... the store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors " Those are two different scenarios. For each of...

by [email protected]

Wed Mar 13, 2013 12:03 pm
Forum: Problem Solving
Topic: GMAT PREP PS question
Replies: 7
Views: 1833

Approach 1 ----------- Let J=18 at start of babysitting C's maximum age at that time=9 Jane's has stopped babysitting at 22,so the max age of C at that time will be 11. J's current age = 32 After 10 yrs the C's age will be 11+10=22 Answer = 22 Approach 2 ----------- J started baby sitting started a...

by [email protected]

Fri Mar 08, 2013 3:48 am
Forum: Problem Solving
Topic: Word Problem - Ages question
Replies: 2
Views: 1016

rather than having to remember when to flip signs, i'm trying to think of a hard and fast rule i can apply to both absolute value equations and inequalities. again, could an instructor verify that what i'm doing is correct? You're not doing anything wrong except that redundancy part. But before rem...

by [email protected]

Fri Mar 08, 2013 1:12 am
Forum: GMAT Math
Topic: how to solve absolute values and absolute value inequalities
Replies: 12
Views: 5257

I'm assuming this is the problem you are talking about... r s t u v w x y z Each of the letters in the table above represents one of the numbers 1, 2, or 3, and each of these numbers occurs exactly once in each row and exactly once in each column. What is the value of r? 1) v + z = 6 2) s + t + u + ...

by [email protected]

Fri Mar 08, 2013 12:32 am
Forum: Data Sufficiency
Topic: Arithmetic Properties of Number
Replies: 2
Views: 763

2.a. y + 14 = -2 y = -16 2.b. since the value inside the absolute value brackets can be negative, i mutliply everything within the absolute value brackets by negative 1 -y - 14 = 2 ... i know that 2.a. and 2.b. actually are equal to each other, but is one way the correct way of doing absolute value...

by [email protected]

Fri Mar 08, 2013 12:20 am
Forum: GMAT Math
Topic: how to solve absolute values and absolute value inequalities
Replies: 12
Views: 5257

For what value of x will the expression √(-2(x+1) - (x-2)) not be a real number? The expression will not be real only if the expression under root is negative. So, (-2(x+1) - (x-2)) < 0 --> 2(x + 1) + (x - 2) > 0 --> 3x > 0 --> x > 0 Only possible answer is x = 0.5 [spoiler] The correct answer is...

by [email protected]

Thu Mar 07, 2013 11:09 pm
Forum: Problem Solving
Topic: Real Numbers - Arithematic
Replies: 1
Views: 683

Q. if R is an integer, is R evenly divisible by 3 A. 2R is evenly divisible by 3 B. 3R is evenly divisible by 3 In simple words, "evenly divisible" means 'divisible'. Statement 1: 2R is divisible by 3. As 2 is not a multiple of 3, R must be a multiple of 3. Sufficient Statement 2: 3R is divisible b...

by [email protected]

Thu Mar 07, 2013 9:58 pm
Forum: Data Sufficiency
Topic: Evenly Divisible ??
Replies: 2
Views: 2012

rjain84 wrote:Can we also say the same for the given product? Given the product of two numbers, their sum will be maximum when both are equal?
No. The reverse is not true.
To illustrate with a simple example, take xy = 4 ---> (4 + 1) > (2 + 2)

by [email protected]

Thu Mar 07, 2013 11:41 am
Forum: Problem Solving
Topic: optimization
Replies: 9
Views: 1362

Algebraic Method: (x + y)² = (x² + y² + 2xy) = (100 + 2xy) ---> (x + y) = √(100 + 2xy) To maximize (x + y), we need to maximize xy which we will do by maximizing x²y². Now, remember this rule if you don't know it yet, Given the sum of two numbers, their product will be maximum when they are ...

by [email protected]

Thu Mar 07, 2013 11:24 am
Forum: Problem Solving
Topic: optimization
Replies: 9
Views: 1362

If x^2+y^2 = 100, and x≥0, and y≥0, the maximum value of x + y is x² + y² = 100 Hence, 0 ≤ x ≤ 10 and 0≤ y ≤ 10 Some obvious possible values for x and y are {x = 10, y = 0} or {x = 6, y = 8} In first case, (x + y) = 10 ---> Discard option 1 In second case, (x + y) = 14 ---> Discard op...

by [email protected]

Thu Mar 07, 2013 11:12 am
Forum: Problem Solving
Topic: optimization
Replies: 9
Views: 1362

Would you be able to give me an example of how to solve the problem with a valid data set? Let us take an example question like " The population of a town is 6,250,000. If the ratio of number of males to number of females in the town is 14:11, how many male are there in the town? Also, what percent...

by [email protected]

Thu Mar 07, 2013 10:25 am
Forum: Data Sufficiency
Topic: Population Ratio
Replies: 4
Views: 941

Hi there I remember coming across a question in my recent GMAT test which went as follows; Population - 6,754,000 Ratio M:F - 14:9 The question was how many males are there and what percentage of the population are females? Thank you so much. I'm afraid you don't remember the numbers properly. Beca...

by [email protected]

Thu Mar 07, 2013 9:33 am
Forum: Data Sufficiency
Topic: Population Ratio
Replies: 4
Views: 941

4 when subtracted from 10 yields 6 which is a multiple of 6.. (6*1)..this is the reasoning.. is it wrong? No, that is correct. But the question asks " ...which of the following could NOT be a possible value of M + N? " And as Mitch has shown, (M + N) will be 4 more than a multiple of 6. Hence, the ...

by [email protected]

Thu Mar 07, 2013 7:52 am
Forum: Problem Solving
Topic: Remainders
Replies: 6
Views: 1329

If x and y are distinct factors of 24, then which of the following CANNOT be a factor of 24? I. (x+y)² II. x²−y² III. xy+y² The possible values of x and y are : 1, 2, 3, 4, 6, 8, 12, and 24 also x ≠ y Option I This is a perfect square. The only factors of 24 that are perfect squares are 1 a...

by [email protected]

Thu Mar 07, 2013 3:30 am
Forum: Problem Solving
Topic: Factors of 24
Replies: 2
Views: 1263

For the third question I thought the answer was 5:7 as [40000/(1-0.2)]: [100000/(1+0.4)] is roughly equal to 50000:71000.. I could be completely wrong though. Thank you for pointing out that we can approximate the actual answer to select the best answer. I've modified my reply accordingly. However,...

by [email protected]

Wed Mar 06, 2013 10:51 pm
Forum: Problem Solving
Topic: Gmat question help!
Replies: 6
Views: 12111