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.
Apr 24Get an Extra 30% Off Target Test Prep Plans
08:00 PM EDT
-11:59 PM EDT
Grab 30% off any Target Test Prep GRE plan during our Flash Sale and join Brian and many other students who have used Target Test Prep to score high on the GRE. Just enter the coupon code FLASH30 at checkout to save big.
Apr 26Get a Top GRE Score with Target Test Prep
12:00 PM EDT
-01:00 PM EDT
The Target Test Prep course represents a quantum leap forward in GRE preparation, a radical reinterpretation of the way that students should study. In fact, more and more Target Test Prep students are scoring 329 and above on the GRE.
p is 75% of q and p equals 2r.
[#permalink]
10 Jun 2018, 04:44
10 Jun 2018, 04:44
Expert Reply
00:00
Question Stats:
86% (00:44) correct
13% (01:27) wrong based on 125 sessions
Hide Show timer Statistics
p is 75% of q and p equals 2r.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
0.375q |
r |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: p is 75% of q and p equals 2r.
[#permalink]
16 Jun 2018, 15:45
16 Jun 2018, 15:45
1
p is 75% of q
\(p=.75q\)
p equals 2r
\(p=2r\)
Quantity A: \(0.375q\)
Quantity B: \(r\)
I manipulated the equation to make \(r=\frac{p}{2}\)
From here, we can substitute \(\frac{p}{2}\) for r as Quantity B.
Quantity A: \(0.375q\)
Quantity B: \(\frac{p}{2}\)
Multiply both sides by 2.
Quantity A: \(0.75q\)
Quantity B: \(p\)
We see that the first equation given to us matches what we have in Quantity A and B.
Quantity A is equivalent to Quantity B.
The answer is C.
\(p=.75q\)
p equals 2r
\(p=2r\)
Quantity A: \(0.375q\)
Quantity B: \(r\)
I manipulated the equation to make \(r=\frac{p}{2}\)
From here, we can substitute \(\frac{p}{2}\) for r as Quantity B.
Quantity A: \(0.375q\)
Quantity B: \(\frac{p}{2}\)
Multiply both sides by 2.
Quantity A: \(0.75q\)
Quantity B: \(p\)
We see that the first equation given to us matches what we have in Quantity A and B.
Quantity A is equivalent to Quantity B.
The answer is C.
Re: p is 75% of q and p equals 2r.
[#permalink]
11 Jul 2018, 15:53
11 Jul 2018, 15:53
1
Expert Reply
Explanation
Write an equation from the first part of the given information: p = 0.75q. Since p = 2r, substitute 2r for p in the first equation:
\(2r = 0.75q\)
\(r = 0.375q\)
The two quantities are equal.
Alternatively, use smart numbers. If q is 8, then p is (8)(0.75) = 6. (Note: because you have to multiply q by 0.75, or , try to pick something divisible by 4 for q, so that p will be an integer.)
Therefore, r is = 3.
Since 0.375q = (0.375)(8) = 3, the value for r is also 3. The two quantities are equal.
Write an equation from the first part of the given information: p = 0.75q. Since p = 2r, substitute 2r for p in the first equation:
\(2r = 0.75q\)
\(r = 0.375q\)
The two quantities are equal.
Alternatively, use smart numbers. If q is 8, then p is (8)(0.75) = 6. (Note: because you have to multiply q by 0.75, or , try to pick something divisible by 4 for q, so that p will be an integer.)
Therefore, r is = 3.
Since 0.375q = (0.375)(8) = 3, the value for r is also 3. The two quantities are equal.
