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.
36<x<49
[#permalink]
22 Feb 2023, 06:42
22 Feb 2023, 06:42
Expert Reply
00:00
Question Stats:
70% (01:12) correct
29% (00:56) wrong based on 34 sessions
Hide Show timer Statistics
\(36<x<49\)
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 |
\(2^{\sqrt{x}}\) |
\(4^3\) |
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.
36<x<49
[#permalink]
18 Mar 2023, 04:41
18 Mar 2023, 04:41
Expert Reply
Love this kind of questions wher you work conceptually and also by estimation. The process is pretty fast to solve it
1) Take the square root of the stem. so we do have \(6 <\sqrt{ x} < 7\)
2) \(\sqrt{ x}\) is a number ranging from 6.1 to 6.9
Now
in QA we do have \(2^{\sqrt{ x}}\) and suppose that we have in the quantity a above 6
\(2^6 =64\)
QB 64 as well
But taking the \((2^{\sqrt{ x}})^2\) \(= 4^{6.1}\)
A > B
1) Take the square root of the stem. so we do have \(6 <\sqrt{ x} < 7\)
2) \(\sqrt{ x}\) is a number ranging from 6.1 to 6.9
Now
in QA we do have \(2^{\sqrt{ x}}\) and suppose that we have in the quantity a above 6
\(2^6 =64\)
QB 64 as well
But taking the \((2^{\sqrt{ x}})^2\) \(= 4^{6.1}\)
A > B
gmatclubot
36<x<49 [#permalink]
18 Mar 2023, 04:41
Moderators:
