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.
x is any non-negative integer
[#permalink]
27 Jan 2021, 06:14
27 Jan 2021, 06:14
Expert Reply
1
Bookmarks
00:00
Question Stats:
50% (00:45) correct
50% (00:33) wrong based on 12 sessions
Hide Show timer Statistics
x is any non-negative integer
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.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The minimum value of \(4x^2+1\) |
The minimum value of \(5x^2+1\) |
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.
Kudos for the right answer and explanation
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: x is any non-negative integer
[#permalink]
30 May 2021, 00:28
30 May 2021, 00:28
1
Carcass wrote:
x is any non-negative integer
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.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The minimum value of \(4x^2+1\) |
The minimum value of \(5x^2+1\) |
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.
Kudos for the right answer and explanation
Both the equations given here are Quadratic Functions (Parabola)
The minimum value i.e. the y-value (only when a > 0) of a Parabola occurs at it's vertex
x-coordinate of the vertex = \(\frac{-b}{2a}\), which is same for both the equations
\(4x^2 + 0x + 1\)
x-coordinate of the vertex = \(\frac{-0}{8} = 0\)
\(5x^2 + 0x + 1\)
x-coordinate of the vertex = \(\frac{-0}{10} = 0\)
Now, on plugging the x-coordinates back into the equation, we have same y-coordinates as 1
Col. A: 1
Col. B: 1
Hence, option C
You can also try to draw the graph of both the functions and notice that they have same vertex!
Attachments
Parabolas.png [ 92.12 KiB | Viewed 2093 times ]
General Discussion
Re: x is any non-negative integer
[#permalink]
27 Jan 2021, 07:32
27 Jan 2021, 07:32
2
x is a non-negative, so \(x>=0\)
We need min value so we will take x = 0
Qt A = Qt B = 1
Answer C
We need min value so we will take x = 0
Qt A = Qt B = 1
Answer C
