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# If 4^7 + 4^8 + 4^9 + 4^10/5 is x times 4^7, what is the value of x ?

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SVP
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If 4^7 + 4^8 + 4^9 + 4^10/5 is x times 4^7, what is the value of x ?  [#permalink]

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Updated on: 27 Apr 2017, 21:48
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Difficulty:

15% (low)

Question Stats:

87% (01:20) correct 13% (01:04) wrong based on 44 sessions

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If $$\frac{4^7 + 4^8 + 4^9 + 4^{10}}{5}$$ is x times 4^7, what is the value of x ?

A. 1/5
B. 4/5
C. 5
D. 13
E. 17

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Last edited by stonecold on 27 Apr 2017, 21:48, edited 1 time in total.
Edited the Question.
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Re: If 4^7 + 4^8 + 4^9 + 4^10/5 is x times 4^7, what is the value of x ?  [#permalink]

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27 Apr 2017, 10:33
(4^7 + 4^8 + 4^9 + 4^10)/5
=(4^7(1 + 4 + 4^2 + 4^3))/5
=(4^7(1+4+16+64))/5
=4^7(85)/5
=4^7(17) which is 17 times 4^7(Option E)
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Re: If 4^7 + 4^8 + 4^9 + 4^10/5 is x times 4^7, what is the value of x ?  [#permalink]

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27 Apr 2017, 10:50
(4^7 + 4^8 + 4^9 + 4^10)/5 = x * 4^7

=> 4^7 * (1+4+4^2+4^3)/5 = x * 4^7

=> (1+4+16+64)/5 = x

=> 85/5 = x = 17

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Re: If 4^7 + 4^8 + 4^9 + 4^10/5 is x times 4^7, what is the value of x ?  [#permalink]

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27 Apr 2017, 16:46
$$4^7$$(1+4+$$4^2$$+$$4^3$$)/5
$$4^7$$(1+4+16+64)/5
$$4^7$$(85)/5
$$4^7$$*17

Thus x=17
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Re: If 4^7 + 4^8 + 4^9 + 4^10/5 is x times 4^7, what is the value of x ?  [#permalink]

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27 Apr 2017, 21:45
Thanks for the question.

Its tagged to 700 level.
But is it 700 level?
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Joined: 12 Aug 2015
Posts: 2647
Schools: Boston U '20 (M)
GRE 1: Q169 V154
If 4^7 + 4^8 + 4^9 + 4^10/5 is x times 4^7, what is the value of x ?  [#permalink]

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27 Apr 2017, 21:51
If 4^7 + 4^8 + 4^9 + 4^10/5 is x times 4^7, what is the value of x ? &nbs [#permalink] 27 Apr 2017, 21:51
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# If 4^7 + 4^8 + 4^9 + 4^10/5 is x times 4^7, what is the value of x ?

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