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.
0 < t < 1
[#permalink]
Updated on: 25 Dec 2018, 03:01
Updated on: 25 Dec 2018, 03:01
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
76% (00:41) correct
23% (00:45) wrong based on 202 sessions
Hide Show timer Statistics
\(0 < t < 1\)
Quantity A |
Quantity B |
\(1 - t\) |
\(\frac{1}{2} + t\) |
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: 0 < t < 1
[#permalink]
13 Nov 2017, 11:40
13 Nov 2017, 11:40
2
1
Bookmarks
0 < t < 1
Suppose t = 0.9 then,
Quantity A : 1 - t = 1 - 0.9 = 0.1, and
Quantity B : 1/2 + t = 0.5 + 0.9 = 1.4
In this case: B) Quantity B is greater.
Suppose t = 0.1 then,
Quantity A : 1 - t = 1 - 0.1 = 0.9, and
Quantity B : 1/2 + t = 0.5 + 0.1 = 0.6
In this case: A) Quantity A is greater.
So the correct answer is : D) The relationship cannot be determined from the information given.
Suppose t = 0.9 then,
Quantity A : 1 - t = 1 - 0.9 = 0.1, and
Quantity B : 1/2 + t = 0.5 + 0.9 = 1.4
In this case: B) Quantity B is greater.
Suppose t = 0.1 then,
Quantity A : 1 - t = 1 - 0.1 = 0.9, and
Quantity B : 1/2 + t = 0.5 + 0.1 = 0.6
In this case: A) Quantity A is greater.
So the correct answer is : D) The relationship cannot be determined from the information given.
Re: 0 < t < 1
[#permalink]
13 Nov 2017, 11:54
13 Nov 2017, 11:54
1
A great way to approach this question is by subtracting one quantity from another. That way, you can compare the value 0 to an expression, and it'll be easier to see which quantity is greater. So let's start by subtracting Quantity A from both quantities. That would give us:
Quantity A: 1-t - (1-t) = 0
Quantity B: 1/2+t - (1-t) = 1/2 + t - 1 + t = -1/2 + 2t
Now we can plug in the extreme values for t. Since t can go all the way down to just above 0, Quantity B in this case could go all the way down to just above -1/2. This is less than Quantity A, so we can eliminate B and C as the correct answers. Next, since t can go all the way up to just below 1, Quantity B in this case could go all the way up to just below 3/2. Since this is greater than Quantity A, we can eliminate A as the correct answer. Thus, the only answer remaining is D.
Quantity A: 1-t - (1-t) = 0
Quantity B: 1/2+t - (1-t) = 1/2 + t - 1 + t = -1/2 + 2t
Now we can plug in the extreme values for t. Since t can go all the way down to just above 0, Quantity B in this case could go all the way down to just above -1/2. This is less than Quantity A, so we can eliminate B and C as the correct answers. Next, since t can go all the way up to just below 1, Quantity B in this case could go all the way up to just below 3/2. Since this is greater than Quantity A, we can eliminate A as the correct answer. Thus, the only answer remaining is D.
but the OA is still D
