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SSC MTS Algebra question with solution

AlgebraModerateSSC MTS 2024

If x + 1/x = 8, what is the value of x² + 1/x²?

  1. (A)66
  2. (B)62
  3. (C)16
  4. (D)64

Correct answer: (B) 62

Squaring both sides: (x + 1/x)² = x² + 1/x² + 2 = 64. Therefore x² + 1/x² = 64 − 2 = 62.

Shortcut: x² + 1/x² = k² − 2 when x + 1/x = k.

About this question

Subject
Quantitative Aptitude
Topic
Algebra
Exam
SSC MTS 2024
Attempts on SSC Rank
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Appears in: SSC MTS 2024 Computer Based Examination Question Paper — 30 September, Shift 1

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Last reviewed on 5 Oct 2026. Spotted a mistake? See our correction policy.