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24 Nov 2025, 21:38
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:42) correct
30%
(01:42)
wrong
based on 185
sessions
History
Date
Time
Result
Not Attempted Yet
If \(a^4\) > \(b^2\) > \(c\), which of the following could be true?
I. \(a\) > \(b\) > \(c\)
II. \(c\) > \(b\) > \(a\)
III. \(a\) > \(c\) > \(b\)
A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III
I. \(a\) > \(b\) > \(c\)
II. \(c\) > \(b\) > \(a\)
III. \(a\) > \(c\) > \(b\)
A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III
ravi1522
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24 Nov 2025, 21:55
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Hello,
The value cannot be between -1 to 1
so if we take a=3 b=2 c=1
then a^4>b^2>c
so option 1 can be true
so if we take a=-3 b=-2 c=-1
then a^4>b^2>c
c>b>a
so option 2 can be true
if we take
a=-2.5 b =-4 c= -3
Then a>c>b
option 3 can be true
Hence option E is correct
The value cannot be between -1 to 1
so if we take a=3 b=2 c=1
then a^4>b^2>c
so option 1 can be true
so if we take a=-3 b=-2 c=-1
then a^4>b^2>c
c>b>a
so option 2 can be true
if we take
a=-2.5 b =-4 c= -3
Then a>c>b
option 3 can be true
Hence option E is correct
24 Nov 2025, 23:55
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ExpertsGlobal5
Since there is no constraint for the values a,b,c.
The numbers can be anywhere from negative end to positive end.
Given that : \(a^4\) > \(b^2\) > \(c\).
Since, the powers of a,b are even powers, +ve value and -ve value will result in the same answer.
we need to find : Could be true options
I. \(a\) > \(b\) > \(c\)
we can take the values:
a= 4, b= 2, c=1 . These values also satisfy the equation: \(a^4\) > \(b^2\) > \(c\)
\(4^4\) > \(2^2\) > \(1\)
= 256 > 4 >1 .
Could be True.
II. \(c\) > \(b\) > \(a\)
Let’s take the options : c = 1, b = -2 and a = -4 respectively.
These values also satisfy the equation: \(a^4\) > \(b^2\) > \(c\)
\(-4^4\) > \(-2^2\) > \(1\)
= 256 > 4 > 1
Could be True.
III. \(a\) > \(c\) > \(b\)
let’s take a =4, c =1 and b= -2.
These values also satisfy the general equation: \(a^4\) > \(b^2\) > \(c\)
= \(4^4\) > \(-2^2\) > \(1\)
= 256 > 4 > 1
Could be True.
Option E satisfies the answer.
E. I, II, and III
