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99,998^2 2^2 =
[#permalink]
06 Aug 2022, 02:25
06 Aug 2022, 02:25
Expert Reply
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Question Stats:
50% (01:24) correct
50% (01:33) wrong based on 10 sessions
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\(99,998^2 − 2^2 =\)
(A) \(10^{10} − 4\)
(B) \((10^5 − 4)^2\)
(C) \(10^4(10^5 − 4)\)
(D) \(10^5(10^4 − 4)\)
(E) \(10^5(10^5 − 4)\)
(A) \(10^{10} − 4\)
(B) \((10^5 − 4)^2\)
(C) \(10^4(10^5 − 4)\)
(D) \(10^5(10^4 − 4)\)
(E) \(10^5(10^5 − 4)\)
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 99,998^2 2^2 =
[#permalink]
06 Aug 2022, 08:05
06 Aug 2022, 08:05
1
1
Carcass wrote:
\(99,998^2 − 2^2 =\)
(A) \(10^{10} − 4\)
(B) \((10^5 − 4)^2\)
(C) \(10^4(10^5 − 4)\)
(D) \(10^5(10^4 − 4)\)
(E) \(10^5(10^5 − 4)\)
(A) \(10^{10} − 4\)
(B) \((10^5 − 4)^2\)
(C) \(10^4(10^5 − 4)\)
(D) \(10^5(10^4 − 4)\)
(E) \(10^5(10^5 − 4)\)
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Key concept: x² - y² = (x + y)(x - y)
So, 99,998² - 2² = (99,998 + 2)(99,998 - 2)
= (100,000)(99,996)
= (100,000)(100,000 - 4)
= (10⁵)(10⁵ - 4)
Answer: E
gmatclubot
Re: 99,998^2 2^2 = [#permalink]
06 Aug 2022, 08:05
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