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# If a> 0 and b>0 and 2c=radical a/b , what is the value

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Senior Manager
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If a> 0 and b>0 and 2c=radical a/b , what is the value [#permalink]

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26 Sep 2006, 14:26
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If a> 0 and b>0 and 2c=radical a/b , what is the value of b?

1) a=8 and c=2
2) c^2/a = 1/2

radical = square root (I couldn't find the sign to insert)

I will post the answer shortly.

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Director
Joined: 06 Sep 2006
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26 Sep 2006, 19:57
If a> 0 and b>0 and 2c=radical a/b , what is the value of b?

1) a=8 and c=2
2) c^2/a = 1/2

D?

1) 2*2 = sqrt(8/b). Sufficient

2) 2c = sqrt(a)/sqrt(b)
4c^2 = a/b
c^2/a = 1/(4*b)----N

Also given c^2/a = 1/2-----M
Combine N & M. Sufficient.

D.

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Director
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Re: DS with square root [#permalink]

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26 Sep 2006, 23:44
Matrix02 wrote:
If a> 0 and b>0 and 2c=radical a/b , what is the value of b?

1) a=8 and c=2
2) c^2/a = 1/2

radical = square root (I couldn't find the sign to insert)

I will post the answer shortly.

D it is
1) 4=sqrt(8/b)
16=8/b
b=1/2

2)c^2/a=1/2
a=2c^2
2c=sqrt{(2c^2)/b}
4c^2=(2c^2)/b
2=1/b
b=1/2
_________________

IE IMBA 2010

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Senior Manager
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27 Sep 2006, 00:02
Got D

From I, c=2, a=8 hence 2*2 = sqrt(8/b)

hence 16 = 8/b i.e. b = 1/2 SUFF

From II, c^2 = a/2 and 2c = sqrt(a/b) i.e. 1/4 * a/b = a/2

i.e. b = 1/2 SUFF

Hence D

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SVP
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27 Sep 2006, 02:24
If a> 0 and b>0 and 2c=radical a/b , what is the value of b?

1) a=8 and c=2
2) c^2/a = 1/2

A,B ARE POSITIVE 2C = SQ A / SQ B WHAT IS B

FROM ONE WE HAVE VALUE OF A,C THUS SUFF

FROM TWO

STEM IS 4C^2 = A/B

THUS C^2 /A = B/4 = 1/2.........SUFF

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Senior Manager
Joined: 13 Sep 2006
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27 Sep 2006, 04:49
Yes - D is correct. Thank You for showing be how to do statement 2 in several different ways.

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27 Sep 2006, 04:49
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