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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Which of the following is equivalent to 1,000,001
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26 Apr 2020, 09:53
26 Apr 2020, 09:53
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Question Stats:
67% (01:43) correct
32% (01:40) wrong based on 146 sessions
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Which of the following is equivalent to \(\frac{1,000,001 \times 999,999}{1001}\)?
A) \(1,001 \times 999,999\)
B) \(10,001 \times 99,999\)
C) \(100,001 \times 9,999\)
D) \(1,000,001 \times 999\)
E) \(10,000,001 \times 99\)
A) \(1,001 \times 999,999\)
B) \(10,001 \times 99,999\)
C) \(100,001 \times 9,999\)
D) \(1,000,001 \times 999\)
E) \(10,000,001 \times 99\)
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Which of the following is equivalent to 1,000,001
[#permalink]
27 Apr 2020, 09:44
27 Apr 2020, 09:44
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GreenlightTestPrep wrote:
Which of the following is equivalent to \(\frac{1,000,001 \times 999,999}{1001}\)?
A) \(1,001 \times 999,999\)
B) \(10,001 \times 99,999\)
C) \(100,001 \times 9,999\)
D) \(1,000,001 \times 999\)
E) \(10,000,001 \times 99\)
A) \(1,001 \times 999,999\)
B) \(10,001 \times 99,999\)
C) \(100,001 \times 9,999\)
D) \(1,000,001 \times 999\)
E) \(10,000,001 \times 99\)
\(\frac{1,000,001 \times 999,999}{1,001}=\frac{(1,000,000 + 1)(1,000,000 - 1)}{1,001}\)
\(=\frac{(1,000,000 + 1)(1,000^2 - 1^2)}{1,001}\)
\(=\frac{(1,000,001)(1,000+ 1)(1,000-1)}{1,001}\)
\(=\frac{(1,000,001)(1,001)(999)}{1,001}\)
\(=1,000,001 \times 999\)
Answer: D
Cheers,
Brent
General Discussion
Re: Which of the following is equivalent to 1,000,001
[#permalink]
26 Apr 2020, 10:23
26 Apr 2020, 10:23
Expert Reply
\(\frac{(10^5+1)\times (10^5-1)}{10^3+1}\)
\(10^2 \times(10^5-1)\)
\(10^7-10^2\)
Which is basically \(10^5\)
Only D has 10^5 in the answer choices regardless of the fluff of +1 or 999,999
D is the answer
\(10^2 \times(10^5-1)\)
\(10^7-10^2\)
Which is basically \(10^5\)
Only D has 10^5 in the answer choices regardless of the fluff of +1 or 999,999
D is the answer
