Last visit was: 22 Dec 2024, 22:36 It is currently 22 Dec 2024, 22:36

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30477
Own Kudos [?]: 36824 [1]
Given Kudos: 26100
Send PM
avatar
Intern
Intern
Joined: 31 Mar 2023
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 30477
Own Kudos [?]: 36824 [0]
Given Kudos: 26100
Send PM
Manager
Manager
Joined: 16 Dec 2019
Posts: 190
Own Kudos [?]: 132 [1]
Given Kudos: 59
Send PM
Re: A=(0.05)^2-(0.03)^2 [#permalink]
1
From B and A, B > A as both are in squares so positive terms

C = 1/B and D = 1/A

if B > A then D > A because in fractions with same numerator, smaller denominator will be large value

Option B
Manager
Manager
Joined: 09 Jul 2018
Posts: 51
Own Kudos [?]: 83 [1]
Given Kudos: 0
Send PM
Re: A=(0.05)^2-(0.03)^2 [#permalink]
1
Carcass wrote:
\(A=(0.05)^2-(0.03)^2\)

\(B= (0.05)^2+(0.03)^2\)

\(C= \dfrac{1}{(0.05)^2+(0.03)^2}\)

\(D= \dfrac{1}{(0.05)^2-(0.03)^2}\)

Which of the following is true?

B > D > C > A
D > C > B > A
C > D > B > A
C > B > D > A
None of the above


Options A and B are each equal to a value between 0 and 1.
Whereas option B adds the two terms. option A subtracts them.
Implication:
B > A

Options C and D are the reciprocals of B and A, respectively.
To make the four options easier to compare, test easy values for B and A such that both values are between 0 and 1 and B > A.
If B=1/2 and A=1/4, then C=2 and D=4.
Thus:
D > C > B > A

Show: ::
B
Prep Club for GRE Bot
Re: A=(0.05)^2-(0.03)^2 [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne