GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
For positive numbers a,b, and c, a*b/c=1
[#permalink]
13 Mar 2019, 11:18
13 Mar 2019, 11:18
Expert Reply
1
Bookmarks
00:00
Question Stats:
91% (00:30) correct
8% (01:02) wrong based on 102 sessions
Hide Show timer Statistics
For positive numbers \(a\),\(b\), and \(c\), \(\frac{a*b}{c}=1\) and \(\frac{c}{a} = 4\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(b\) |
\(4\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: For positive numbers a,b, and c, a*b/c=1
[#permalink]
15 Mar 2019, 01:26
15 Mar 2019, 01:26
1
On solving for b, we get the value of b=4.
Hence C
Hence C
Re: For positive numbers a,b, and c, a*b/c=1
[#permalink]
20 Mar 2019, 08:58
20 Mar 2019, 08:58
Expert Reply
First, break up the first fraction like this:
\(\frac{a}{c}*b = 1\)
Next, if \(\frac{c}{a} = \frac{4}{1}\), then \(\frac{a}{c} = \frac{1}{4}\)
Plug that into our first equation:
\(\frac{1}{4}*b = 1\)
Now multiply both sides by 4:
\(b = 4\)
\(\frac{a}{c}*b = 1\)
Next, if \(\frac{c}{a} = \frac{4}{1}\), then \(\frac{a}{c} = \frac{1}{4}\)
Plug that into our first equation:
\(\frac{1}{4}*b = 1\)
Now multiply both sides by 4:
\(b = 4\)
