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36<x<49
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22 Feb 2023, 06:42
22 Feb 2023, 06:42
Expert Reply
00:00
Question Stats:
70% (01:09) correct
29% (00:46) wrong based on 27 sessions
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\(36<x<49\)
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
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