SUPER SET
The value of k will be a real number.
TRANSLATION
In order to find the value, we need:
Exact value of k.
Any equation to solve for k.
Any characteristics of k.
STATEMENT ANALYSIS
St 1: k^4=1/625
k^4-1/625 = 0
k^4- ⅕^4 = 0
(k^2+1/25)(k +⅕)(k-⅕) = 0
Therefore k = ⅕, -⅕
INSUFFICIENT. Hence option a and d eliminated.
St 2: k^3<k^2, holds for infinite values of k. INSUFFICIENT. Hence option b eliminated.
St 1 & St 2: From St 1, we got k = ⅕, -⅕. Putting these values in the equation from St 2, we get k = -⅕ as well as ⅕ holds true for the equation. HEnce INSUFFICIENT. Option C eliminated.
Hence option E
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