Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If $ a + \frac{1}{a} = 4$, then what is the value of $a^4 + \frac{1}{a^4}$?

Options:

206

194

204

198

Correct Answer:

194

Explanation:

If $K+\frac{1}{K}=n$

then, $K^2+\frac{1}{K^2}$ = n2 – 2

If $ a + \frac{1}{a} = 4$

$ a^2 + \frac{1}{a^2} = 4^2 - 2 = 14$

$a^4 + \frac{1}{a^4}$ = 14^2 - 2 = 194