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99,999^2 - 1^2 =?

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by seanceserene » Sun Mar 28, 2010 5:44 am
99,999^2 - 1^2 =?

A. 10^10 - 2
B. (10^5 - 2)^2
C. 10^4(10^5 - 2)
D. 10^5(10^4 - 2)
E. 10^5(10^5 - 2)


i am going to take the exam tomorrow, please help with this tricky one
thanks in advance
it is not an "alice in wonderland". it is real! i am going to freak GMAT out!
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by neoreaves » Sun Mar 28, 2010 6:01 am
ok first of all best of luck ...just relax when you take the exam ...gmat only tests a few concepts but it tricks you so you cant use them


like in this question all you need to know is

x^2 -1 = (x+1)(x-1)

so 99999^2 - 1^2 = (99999 + 1) (99999 - 1) = 10^5(10^5-2)

So the answer should be E
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by pops » Sun Mar 28, 2010 6:18 am
seanceserene wrote:99,999^2 - 1^2 =?

A. 10^10 - 2
B. (10^5 - 2)^2
C. 10^4(10^5 - 2)
D. 10^5(10^4 - 2)
E. 10^5(10^5 - 2)


i am going to take the exam tomorrow, please help with this tricky one
thanks in advance
Lots of Good Luck and Good Wishes to you !!

Rather than the answer to your problem, you should remember these formulae:
a^2-b^2=(a+b)(a-b)
(a+b)^2=a^2+b^2+2ab
(a-b)^2=a^2+b^2-2ab
a^3-b^3=(a-b)(a^2+b^2+ab)
a^3+b^3=(a+b)(a^2+b^2-ab)
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by seanceserene » Sun Mar 28, 2010 9:07 pm
neoreaves wrote:ok first of all best of luck ...just relax when you take the exam ...gmat only tests a few concepts but it tricks you so you cant use them


like in this question all you need to know is

x^2 -1 = (x+1)(x-1)

so 99999^2 - 1^2 = (99999 + 1) (99999 - 1) = 10^5(10^5-2)

So the answer should be E

OMG, i mistook the "," for dot.
i thought it is nighty-nine point nine nine nine, which injects me despair
thank you..
it is not an "alice in wonderland". it is real! i am going to freak GMAT out!
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by Scott@TargetTestPrep » Tue May 08, 2018 10:36 am
seanceserene wrote:99,999^2 - 1^2 =?

A. 10^10 - 2
B. (10^5 - 2)^2
C. 10^4(10^5 - 2)
D. 10^5(10^4 - 2)
E. 10^5(10^5 - 2)
Using the difference of squares, we have:

(99,999 + 1)(99,999 - 1)

(100,000)(99,998)

(100,000)(100,000 - 2)

10^5(10^5 - 2)

Answer: E

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