SSC CHSL Algebra question with solution
AlgebraModerateSSC CHSL 2024
If x − 1/x = 10, what is the value of x² + 1/x²?
- (A)20
- (B)100
- (C)98
- (D)102
Correct answer: (D) 102
Squaring both sides: (x − 1/x)² = x² + 1/x² − 2 = 100. Therefore x² + 1/x² = 100 + 2 = 102.
Shortcut: x² + 1/x² = k² + 2 when x − 1/x = k.
About this question
- Subject
- Quantitative Aptitude
- Topic
- Algebra
- Exam
- SSC CHSL 2024
- Attempts on SSC Rank
- Not attempted yet
Appears in: SSC CHSL 2024 Tier 1 Question Paper — 2 July, Shift 1
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Last reviewed on 5 Oct 2026. Spotted a mistake? See our correction policy.