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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