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garuhape wrote:
garuhape wrote:Stomier,

can you please explain the general rule behind switching 4^18 to 2^36

Thx
I got it ;)

4*4 = 4^2 = 2*2*2*2 = 2^4

(a^b)^c = a^(bc)

4^18 = (2^2)^18 = 2^(18*2) = 2^36


However,

a^(b^c) is not equal to a^bc

by stormier

Mon Feb 21, 2011 3:34 pm
Forum: Problem Solving
Topic: fraction and exponent question
Replies: 5
Views: 1062

Sorry if this question has already been posted before, but it came up on a practise test I took, and I am stuck as to how to solve it: If (1/5)m(1/4)18 = 1/2(10)35, m? a. 18 b. 17 c. 21 d. 35 e. 3 The answer is D (1/5)^m (1/4)^18 = 1/[2(10)^35] => 5^(-m)*2^(-36) = 2^(-1)*(10)^(-35) => 5^(-m)*2^(-36...

by stormier

Mon Feb 21, 2011 1:05 pm
Forum: Problem Solving
Topic: fraction and exponent question
Replies: 5
Views: 1062

gmatapril wrote:What is the difference between AID IN and AID TO?

THANKS
When used as verb, its idiomatic to use aid in. He aided me in writing a paper.

aid to is not incorrect, but is less common.

The US provided monetary aid to earthquake victims of Haiti. - aid is used as noun here.

by stormier

Mon Feb 21, 2011 12:33 pm
Forum: Sentence Correction
Topic: AID IN
Replies: 2
Views: 1036

Despite Beethoven's traditional status as the first great Romantic composer, he is considered by some musicologists to be the last great composer of the Classical era. Despite Beethoven's traditional status as the first great Romantic composer, he is considered by some musicologists to be the last ...

by stormier

Mon Feb 21, 2011 11:49 am
Forum: Sentence Correction
Topic: mgmat sc
Replies: 10
Views: 1895

ankur.agrawal wrote:What is the tenth digit to the right of the decimal point, in the decimal expansion of 1/(5^10) ?

(A) 0
(B) 2
(C) 4
(D) 6
(E) 8
1/(5^10) = 2^10/10^10 = 1024/10^10 = 0.0000001024

Answer C

by stormier

Mon Feb 21, 2011 9:07 am
Forum: Problem Solving
Topic: Number properties
Replies: 2
Views: 1536

State lawmakers are considering a law allowing children of divorced parents as young as seven to choose the parent with whom they will live, which will likely dissuade those parents from disciplining or punishing their children. A. allowing children of divorced parents as young as seven to choose t...

by stormier

Mon Feb 21, 2011 9:00 am
Forum: Sentence Correction
Topic: Modifier/Parallelism
Replies: 3
Views: 1314

one says : eight million people are as many as enrolled in universities. is better (when it comes to gmat) than Eight million people are as many as those enrolled in universities. how come? X is/are as many as Y X and Y should be parallel and comparable. Here, X = eight million people - noun Y also...

by stormier

Mon Feb 21, 2011 7:41 am
Forum: Sentence Correction
Topic: comparison expression
Replies: 6
Views: 2324

neilcao wrote:a number is the product of x numbers, when the number's last 6 digits are 0 (000000), what\s the least value of x?

we are talking about integers here.
Least value = 2

example, 1000 * 1000 = 1000000

by stormier

Mon Feb 21, 2011 7:31 am
Forum: Problem Solving
Topic: A number is the product of x numbers,
Replies: 3
Views: 1136

neilcao wrote:2% compound interest,no money put in and out in 10 years,the interests for two years is 5050, what's the original amount of money
This is an incomplete question. One needs to know whether the interest was compounded quarterly, annually, monthly, or ...

by stormier

Mon Feb 21, 2011 7:27 am
Forum: Problem Solving
Topic: Bank interest rate questions
Replies: 3
Views: 1268

80 bottles of drink are given to a group of people, the remaining number of drinks is 4 less than the number given to each person, which number cannot be the actual number of people in this group? 21 28 14 17 24 Suppose the total number of drinks is given evenly to each person let m drink be given ...

by stormier

Mon Feb 21, 2011 7:23 am
Forum: Problem Solving
Topic: problem 80 drinks given to a group of people
Replies: 3
Views: 1382

x ( x - k ) = k + 1 ==> x^2 - k*x - (k+1) = 0 ==> x^2 - (k+1)*x + 1*x - (k+1) = 0 ==> (x+1) (x- (k+1)) = 0 ==> x = -1 and x = k+1 ==> SUM = -1+k+1 ==> k Of course there is a quicker solution by plugging values.... Anurag - you mentioned " Any quadratic equations in x with two roots a and b can...

by stormier

Sun Feb 20, 2011 6:30 pm
Forum: Problem Solving
Topic: 300 tough Algebra
Replies: 20
Views: 39575

Hello, I was working through a GMAT Math CAT and could not solve this problem: The members of the newest recruiting class of a certain military organization are taking their physical conditioning test, and those who score in the bottom 16 percent will have to retest. If the scores are normally dist...

by stormier

Sun Feb 20, 2011 6:16 pm
Forum: Data Sufficiency
Topic: Standard Deviation
Replies: 15
Views: 3796

A diagram has exactly two black dots and one green dot for every two red dots. There are no dots of any other color in the diagram. Which of the following could be the number of dots in the diagram ? A] 3 B] 18 C] 36 D] 45 E] 52 The language of the question could have been better. Nevertheless, it ...

by stormier

Sun Feb 20, 2011 11:44 am
Forum: Problem Solving
Topic: Arithmetic:Ratio - What is number of dots ?
Replies: 3
Views: 1601

A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10% grater than the population of any other district.What is the minimum possible population that the least populated district could have ? A.10,700 B.10,...

by stormier

Sun Feb 20, 2011 10:43 am
Forum: Problem Solving
Topic: GMAT Prep Q - Population
Replies: 4
Views: 1697

If abc = b3 , which of the following must be true? I. ac = b2 II. b = 0 III. ac = 1 A) None B) I only C) II only D) I and III E) II and III This is from Kaplan CAT. I am not quite sure how they arrived at the answer. OA is A abc = b^3 This is possible if either b=0; or ac = b^2 But none of the abov...

by stormier

Sun Feb 20, 2011 9:05 am
Forum: Problem Solving
Topic: If abc = b3 , which of the following must be true?
Replies: 4
Views: 1971