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Which of the following represents the average of 11^61 and 11^63?

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Bunuel
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Which of the following represents the average of 11^61 and 11^63? [#permalink] Which of the following represents the average of 11^61 and 11^63?   23 Feb 2017, 06:21
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A
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E

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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(11^61)
D. 62(11^62)
E. 63(11^63)
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C
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Re: Which of the following represents the average of 11^61 and 11^63? [#permalink] Which of the following represents the average of 11^61 and 11^63?   23 Feb 2017, 06:41
Its C

11^61[1+121] = 11^61[12261}/2 = 11^61*61
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Re: Which of the following represents the average of 11^61 and 11^63? [#permalink] Which of the following represents the average of 11^61 and 11^63?   23 Feb 2017, 08:35
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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(11^61)
D. 62(11^62)
E. 63(11^63)

Or, \(\frac{(11^{61} + 11^{63})}{2}\)

Or, \(\frac{11^{61} ( 1 + 11^2 )}{2}\)

Or, \(\frac{11^{61} *122}{2}\)

Or, \(61*11^{61}\)

Thus, answer must be (C) \(61*11^{61}\)
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Re: Which of the following represents the average of 11^61 and 11^63? [#permalink] Which of the following represents the average of 11^61 and 11^63?   27 Feb 2017, 11:47
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Bunuel
Which of the following represents the average of 11^61 and 11^63?

A. 11^31
B. 11^62
C. 61(11^61)
D. 62(11^62)
E. 63(11^63)

The average of two numbers is their sum divided by 2:

Avg = (11^61 + 11^63)/2

From the numerator, we can factor out 11^61 from each term:

Avg = [11^61(1 + 11^2)]/2

Avg = [11^61(122)]/2

Avg = (11^61)(61)

Answer: C
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Re: Which of the following represents the average of 11^61 and 11^63? [#permalink] Which of the following represents the average of 11^61 and 11^63?   03 Oct 2020, 07:10
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Bunuel
Which of the following represents the average of 11^61 and 11^63?

A. 11^31
B. 11^62
C. 61(11^61)
D. 62(11^62)
E. 63(11^63)

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
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Re: Which of the following represents the average of 11^61 and 11^63? [#permalink] Which of the following represents the average of 11^61 and 11^63?   03 Oct 2020, 08:04
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Average: \(\frac{Sum }{ Total}\)

=> Average: \(\frac{(11^{61} + 11^{63})}{ 2}\)

=> Average: \(\frac{[11^{61}(1 + 11^{2})]}{ 2}\)

=> Average: \(\frac{[11^{61}(1 + 121)]}{ 2} \)

=> Average: \(\frac{(11^{61}*122)]}{ 2}\)

=> Average: \(11^{61}*61\)

Answer C
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Re: Which of the following represents the average of 11^61 and 11^63? [#permalink] Which of the following represents the average of 11^61 and 11^63?   03 Oct 2020, 09:39
Asked: Which of the following represents the average of 11^61 and 11^63?

Average of 11^61 and 11^63 = (11^61 + 11^63)/2 = 11^61(1+11^2)/2 = 11^61(122)/2 = 61(11^61)

IMO C
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Re: Which of the following represents the average of 11^61 and 11^63? [#permalink]
03 Oct 2020, 09:39
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