Which of the following represents the average of 11^61 and 11^63? : Problem Solving (PS)

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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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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)

Spoiler: OA

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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

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)

Answer: C
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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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