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# If 2a = 4b = 8c = 10, then 64abc =

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Math Expert
Joined: 02 Sep 2009
Posts: 52344
If 2a = 4b = 8c = 10, then 64abc =  [#permalink]

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31 May 2018, 11:10
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Difficulty:

5% (low)

Question Stats:

89% (01:02) correct 11% (01:30) wrong based on 72 sessions

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If $$2a = 4b = 8c = 10$$, then $$64abc =$$

(A) 64,000
(B) 16,000
(C) 8,000
(D) 4,000
(E) 1,000

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Re: If 2a = 4b = 8c = 10, then 64abc =  [#permalink]

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31 May 2018, 14:54
Bunuel wrote:
If $$2a = 4b = 8c = 10$$, then $$64abc =$$

(A) 64,000
(B) 16,000
(C) 8,000
(D) 4,000
(E) 1,000

Ans: E

2a=10 ; a=5, 4b= 10 ; b= 5/2, and 8c= 10 ; c=5/4
so 64abc= 1000
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Re: If 2a = 4b = 8c = 10, then 64abc =  [#permalink]

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31 May 2018, 15:01
2a=10 ; a=5 similarly b=5/2 ; c=5/4
=64abc
=64X5X5/2X5/4
=1000 (ans E)
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If 2a = 4b = 8c = 10, then 64abc =  [#permalink]

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01 Jun 2018, 02:51
2a * 4b * 8C = 64abc

so 10*10*10 = 1000 Answer E
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Re: If 2a = 4b = 8c = 10, then 64abc =  [#permalink]

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03 Jun 2018, 17:24
Bunuel wrote:
If $$2a = 4b = 8c = 10$$, then $$64abc =$$

(A) 64,000
(B) 16,000
(C) 8,000
(D) 4,000
(E) 1,000

We see that 64abc = (2a)(4b)(8c) = (10)(10)(10) = 1,000

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Re: If 2a = 4b = 8c = 10, then 64abc =  [#permalink]

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04 Jun 2018, 01:52
Bunuel wrote:
If $$2a = 4b = 8c = 10$$, then $$64abc =$$

(A) 64,000
(B) 16,000
(C) 8,000
(D) 4,000
(E) 1,000

We can write 64abc=2a*4b*8c

Now substituting the value of 2a, 4b and 8c from the given data, we have

64abc=10*10*10=1000

Ans. E
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Re: If 2a = 4b = 8c = 10, then 64abc =  [#permalink]

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07 Jun 2018, 13:47
Bunuel wrote:
If $$2a = 4b = 8c = 10$$, then $$64abc =$$

(A) 64,000
(B) 16,000
(C) 8,000
(D) 4,000
(E) 1,000

It's given that 2a=4b=8c=10. It means that all these terms have equal value which is 10.

we are asked to find out the value of 64abc = 32*2*abc=8*4*2*abc= 2a*4b*8c=10*10*10= 1000

Thus the best answer is E.
Intern
Joined: 18 May 2016
Posts: 24
Re: If 2a = 4b = 8c = 10, then 64abc =  [#permalink]

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07 Jun 2018, 16:46
64abc = 2a*4b*8c
10*10*10 = 1000

Ans E
Re: If 2a = 4b = 8c = 10, then 64abc = &nbs [#permalink] 07 Jun 2018, 16:46
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