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

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Which of the following represents the average of 11^61 and 11^63?  [#permalink]

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23 Feb 2017, 05:21
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15% (low)

Question Stats:

82% (01:14) correct 18% (01:11) wrong based on 89 sessions

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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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Re: Which of the following represents the average of 11^61 and 11^63?  [#permalink]

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23 Feb 2017, 05:41
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]

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23 Feb 2017, 07:35
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Bunuel wrote:
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]

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27 Feb 2017, 10:47
Bunuel wrote:
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)

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Re: Which of the following represents the average of 11^61 and 11^63?  [#permalink]

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16 Oct 2018, 22:02
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Re: Which of the following represents the average of 11^61 and 11^63?   [#permalink] 16 Oct 2018, 22:02
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