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# What is the cube root of w ? (1) The 5th root of w is 64.

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Re: DS: cube root of w [#permalink]  09 May 2006, 20:39
M8 wrote:
What is the cube root of w?
(1) The 5th root of w is 64.
(2) The 15th root of w is 4.

(1) w^1/5 = 64
w^(1/5)(5) = 64^5
w = 64^5
w = (4^15)
w^1/3 = 4^(1/3)(15)
w^1/3 = 4^5

(2) w^1/15 = 4
w = 4^15
w^1/3 = 4^(1/3)(15)
w^1/3 = 4^5

so D...
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[#permalink]  10 May 2006, 02:27
Thanks for your explanation guys the OA is 'D'.
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Cube root [#permalink]  26 Oct 2010, 07:51
What is the cube root of w?
(1) The 5th root of w is 64.
(2) The 15th root of w is 4.
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Re: Cube root [#permalink]  26 Oct 2010, 22:26
do we need to do calculation for this...... each statement is enough to have the value for W.
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Re: DS: cube root of w [#permalink]  27 Oct 2010, 00:16
merging similar topics
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Re: DS: cube root of w [#permalink]  17 Apr 2011, 09:12
Both 1 and 2 essentially give us data to find the number by themselves. So D.
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Re: DS: cube root of w [#permalink]  17 Apr 2011, 09:23
(w)^1/5 = 4^3

w = (4^3)^5 = 4^15

(w)^1/3 = 4^5

Sufficient

(2)

(w)^1/15 = 4

w = 4^15

(w)^1/3 = 4^5

Sufficient

Answer - D
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Re: DS: cube root of w [#permalink]  22 Apr 2011, 18:37
1. Sufficient to find out w and hence sufficient to find cube root of w.

2.Sufficient to find out w and hence sufficient to find cube root of w.

Answer is D.
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DS - roots [#permalink]  10 May 2011, 04:34
What is the cube root of w ?
(1) The 5th root of w is 64.
(2) The 15th root of w is 4.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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Re: DS - roots [#permalink]  10 May 2011, 04:58
a w^(1/5) = 64

w = 64^5 = (4^3)^5

w^(1/3) = 4^5 Hence sufficient.

b w^(1/15) = 4

w = 4^ 15

w^(1/3) = 4^5. Hence sufficient.

D.
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Re: DS - roots   [#permalink] 10 May 2011, 04:58
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# What is the cube root of w ? (1) The 5th root of w is 64.

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