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16 Sep 2014, 00:56
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If \(x = 80.0127^2\), which of the following must be true?
A. \(6400 \lt x \lt 6400.5\)
B. \(6400.5 \lt x \lt 6401\)
C. \(6401 \lt x \lt 6401.5\)
D. \(6401.5 \lt x \lt 6402\)
E. \(6402 \lt x \lt 6402.5\)
A. \(6400 \lt x \lt 6400.5\)
B. \(6400.5 \lt x \lt 6401\)
C. \(6401 \lt x \lt 6401.5\)
D. \(6401.5 \lt x \lt 6402\)
E. \(6402 \lt x \lt 6402.5\)
16 Sep 2014, 00:56
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Official Solution:
If \(x = 80.0127^2\), which of the following must be true?
A. \(6400 \lt x \lt 6400.5\)
B. \(6400.5 \lt x \lt 6401\)
C. \(6401 \lt x \lt 6401.5\)
D. \(6401.5 \lt x \lt 6402\)
E. \(6402 \lt x \lt 6402.5\)
\(80.0127^2\) will be slightly greater than \(80.0125^2\). To calculate \(80.0125^2\), we proceed as follows:
\(80.0125^2=\)
\(= (80 + 0.0125)^2 = \)
\(=80^2 + 2*80*0.0125 + 0.0125^2 = \)
\(=6400 + 2 + 0.0125^2 =\)
\(=6402 + 0.0125^2\).
Given the options provided, only in choice E is \(x\) greater than 6402, while in all other options it's less than 6402. Therefore, choice E must be the correct one.
Answer: E
If \(x = 80.0127^2\), which of the following must be true?
A. \(6400 \lt x \lt 6400.5\)
B. \(6400.5 \lt x \lt 6401\)
C. \(6401 \lt x \lt 6401.5\)
D. \(6401.5 \lt x \lt 6402\)
E. \(6402 \lt x \lt 6402.5\)
\(80.0127^2\) will be slightly greater than \(80.0125^2\). To calculate \(80.0125^2\), we proceed as follows:
\(80.0125^2=\)
\(= (80 + 0.0125)^2 = \)
\(=80^2 + 2*80*0.0125 + 0.0125^2 = \)
\(=6400 + 2 + 0.0125^2 =\)
\(=6402 + 0.0125^2\).
Given the options provided, only in choice E is \(x\) greater than 6402, while in all other options it's less than 6402. Therefore, choice E must be the correct one.
Answer: E
General Discussion
spetznaz
Joined: 08 Jun 2015
Last visit: 14 Jul 2024
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Location: India
Schools: Tepper '21 (D) IIMC PGPEX"20 (A) ISB '20 (A) HEC Jan19 Intake IIMA PGPX"20 (A) IIMB EPGP"20 (D) IMD '21 (D)
GMAT 1: 640 Q48 V29
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Schools: Tepper '21 (D) IIMC PGPEX"20 (A) ISB '20 (A) HEC Jan19 Intake IIMA PGPX"20 (A) IIMB EPGP"20 (D) IMD '21 (D)
GMAT 2: 700 Q48 V38
Posts: 254
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25 Jan 2017, 07:50
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Thanks for the solution .... this one was a bit tricky ....
