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13 Oct 2020, 00:15
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
38% (02:03) correct
62%
(01:52)
wrong
based on 309
sessions
History
Date
Time
Result
Not Attempted Yet
If x = 80.0127^2, which of the following is true about x ?
A. \(6400.0 \lt x \lt 6400.5\)
B. \(6400.5 \lt x \lt 6401.0\)
C. \(6401.0 \lt x \lt 6401.5\)
D. \(6401.5 \lt x \lt 6402.0\)
E. \(6402.0 \lt x \lt 6402.5\)
M15-21
A. \(6400.0 \lt x \lt 6400.5\)
B. \(6400.5 \lt x \lt 6401.0\)
C. \(6401.0 \lt x \lt 6401.5\)
D. \(6401.5 \lt x \lt 6402.0\)
E. \(6402.0 \lt x \lt 6402.5\)
M15-21
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21 May 2023, 12:10
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Bunuel
\(80.0127^2\) 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
ramlala
Joined: 22 Aug 2020
Last visit: 13 Dec 2022
Posts: 467
Given Kudos: 30
Location: India
Concentration: International Business, Finance
Schools: IIMA PGPX'23 INSEAD Jan'23 intake Sloan (MIT) ISB HEC Said
GPA: 4
WE:Project Management (Energy)
14 Oct 2020, 08:39
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If x = 80.0127^2, which of the following is true about x ?
Let a=80, b=0.0127
(a+b)^2 = a^2 + 2ab + b^2
= 80^2 + 2(80)(0.0127) + (0.0127)^2 (ignore in calculation as the answer is 0.xx___)
= 6400 + (>2)
>6402
Ans E
Let a=80, b=0.0127
(a+b)^2 = a^2 + 2ab + b^2
= 80^2 + 2(80)(0.0127) + (0.0127)^2 (ignore in calculation as the answer is 0.xx___)
= 6400 + (>2)
>6402
Ans E
