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k is a positive number. If k is twice its reciprocal, and j is twice k

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k is a positive number. If k is twice its reciprocal, and j is twice k  [#permalink]

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New post 23 Aug 2018, 22:37
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (00:50) correct 17% (01:05) wrong based on 48 sessions

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k is a positive number. If k is twice its reciprocal, and j is twice k  [#permalink]

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New post 23 Aug 2018, 22:42
Given K = 2(\(\frac{1}{K}\)).

\(K^2\) = 2.

K = \(\sqrt{2}\)

Now J = 2K
J = 2\(\sqrt{2}\).

JK = \(\sqrt{2}\)*2\(\sqrt{2}\)

JK = 4.

B is the answer.
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Re: k is a positive number. If k is twice its reciprocal, and j is twice k  [#permalink]

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New post 23 Aug 2018, 22:44
Bunuel wrote:
k is a positive number. If k is twice its reciprocal, and j is twice k, then jk =

A. 2√2
B. 4
C. 4√2
D. 8
E. 8√2


Given k=2*(1/k)
Or, k^2=2


Given j=2*k

So, j*k=2k*k=2k^2=2*2=4

Ans. (B)

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k is a positive number. If k is twice its reciprocal, and j is twice k  [#permalink]

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New post 24 Aug 2018, 02:38
Bunuel wrote:
k is a positive number. If k is twice its reciprocal, and j is twice k, then jk =

A. 2√2
B. 4
C. 4√2
D. 8
E. 8√2



k = 2* \(\frac{1}{k}\)
j = 2k

jk = 2k* 2 *\(\frac{1}{k}\)

jk = 4.

The best answer is B.
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Re: k is a positive number. If k is twice its reciprocal, and j is twice k  [#permalink]

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New post 24 Aug 2018, 07:08
Bunuel wrote:
k is a positive number. If k is twice its reciprocal, and j is twice k, then jk =

A. 2√2
B. 4
C. 4√2
D. 8
E. 8√2

The number is \(k\) ; its reciprocal is \(\frac{1}{k}\)

\(k = \frac{2}{k}\)

Or, \(k^2 = 2\)

So, \(k = \sqrt{2}\)

\(k = 2\sqrt{2}\)

So, \(jk = \sqrt{2}*2\sqrt{2}\)

Or, \(jk = 4\), Answer must be (B)
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Re: k is a positive number. If k is twice its reciprocal, and j is twice k &nbs [#permalink] 24 Aug 2018, 07:08
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