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Which of the following represents the average of \(11^{61}\) and \(11^{63}?\)

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by Gmat_mission » Fri Oct 02, 2020 12:41 am
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Which of the following represents the average of \(11^{61}\) and \(11^{63}?\)

A. \(11^{31}\)
B. \(11^{62}\)
C. \(61\cdot 11^{61}\)
D. \(62\cdot 11^{62}\)
E. \(63\cdot 11^{63}\)

Answer: C

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Re: Which of the following represents the average of \(11^{61}\) and \(11^{63}?\)

by Brent@GMATPrepNow » Sat Oct 03, 2020 6:09 am
Gmat_mission wrote: ↑
Fri Oct 02, 2020 12:41 am
 Which of the following represents the average of \(11^{61}\) and \(11^{63}?\)

A. \(11^{31}\)
B. \(11^{62}\)
C. \(61\cdot 11^{61}\)
D. \(62\cdot 11^{62}\)
E. \(63\cdot 11^{63}\)

Answer: C

Source: Veritas Prep
Average = (11^61 + 11^63)/2

Let's simplify: (11^61 + 11^63)
Factor to get: 11^61(1 + 11^2)
Evaluate to get: 11^61(1 + 121)
Simplify: 11^61(122)

So the average = (11^61 + 11^63)/2 = (11^61)(122)/2 = (11^61)(61)

Answer: C
Brent Hanneson - Creator of GMATPrepNow.com
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