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705-805 Level|   Algebra|      
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Bunuel
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What is the value of a^2b/c? (1) a = 1/b and c = 1/a (2) b=c and a=4c 02 Jun 2022, 01:56
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75% (hard)

Question Stats:

39% (01:51) correct 61% (01:42) wrong based on 61 sessions

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What is the value of \(\frac{a^2b}{c}\) ?


(1) \(a = \frac{1}{b}\) and \(c = \frac{1}{a}\)

(2) \(b = c\) and \(a = 4c\)
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C
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JerryAtDreamScore
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What is the value of a^2b/c? (1) a = 1/b and c = 1/a (2) b=c and a=4c 08 Jun 2022, 11:44
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Bunuel
What is the value of \(\frac{a^2b}{c}\) ?


(1) \(a = \frac{1}{b}\) and \(c = \frac{1}{a}\)

(2) \(b = c\) and \(a = 4c\)
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Statement 1 Alone:

We can put all of this together with \(b = \frac{1}{a} = c\), thus we have \(b = c\). Then \(\frac{a^2b}{c} = ab = 1\). Sufficient.

Statement 2 Alone:

Plugging in everything gives us \(\frac{16c^2*c}{c} = 16c^2\). Insufficient.

Answer: A
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Urvasi
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What is the value of a^2b/c? (1) a = 1/b and c = 1/a (2) b=c and a=4c 24 Jan 2023, 04:06
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Can anyone post the solution?
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prabhsimarkaura
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What is the value of a^2b/c? (1) a = 1/b and c = 1/a (2) b=c and a=4c 01 Feb 2023, 21:45
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Statement A alone
On substituting values
(A^2*b)/c = (1/b)/(1/a)
Insufficient
Statement B alone
(A^2*b)/c = 16c^2
Insufficient
Combining both statements
We get
(1/b)/(1/a)
Substituting b with c from statement B and 1/a with c from statement A
We get
1/c*1/c
Further
From statement A we get
1/c =a
Which becomes
a/c
Further from Statement B substitute a =4c
Thus 4c /c
Which is equal to 4

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prabhsimarkaura
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What is the value of a^2b/c? (1) a = 1/b and c = 1/a (2) b=c and a=4c 01 Feb 2023, 21:46
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Statement A alone
On substituting values
(A^2*b)/c = (1/b)/(1/a)
Insufficient
Statement B alone
(A^2*b)/c = 16c^2
Insufficient
Combining both statements
We get
(1/b)/(1/a)
Substituting b with c from statement B and 1/a with c from statement A
We get
1/c*1/c
Further
From statement A we get
1/c =a
Which becomes
a/c
Further from Statement B substitute a =4c
Thus 4c /c
Which is equal to 4

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