SSC CGL Algebra question with solution
AlgebraModerateSSC CGL 2024
If x − 1/x = 8, what is the value of x² + 1/x²?
- (A)16
- (B)68
- (C)64
- (D)66
Correct answer: (D) 66
Squaring both sides: (x − 1/x)² = x² + 1/x² − 2 = 64. Therefore x² + 1/x² = 64 + 2 = 66.
Shortcut: x² + 1/x² = k² + 2 when x − 1/x = k.
About this question
- Subject
- Quantitative Aptitude
- Topic
- Algebra
- Exam
- SSC CGL 2024
- Attempts on SSC Rank
- Not attempted yet
Appears in: SSC CGL 2024 Tier 1 Question Paper — 9 September, Shift 1
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Last reviewed on 5 Oct 2026. Spotted a mistake? See our correction policy.