SSC GD Algebra question with solution
AlgebraModerateSSC GD 2024
If x + 1/x = 10, what is the value of x² + 1/x²?
- (A)104
- (B)100
- (C)20
- (D)98
Correct answer: (D) 98
Squaring both sides: (x + 1/x)² = x² + 1/x² + 2 = 100. Therefore x² + 1/x² = 100 − 2 = 98.
Shortcut: x² + 1/x² = k² − 2 when x + 1/x = k.
About this question
- Subject
- Quantitative Aptitude
- Topic
- Algebra
- Exam
- SSC GD 2024
- Attempts on SSC Rank
- Not attempted yet
Appears in: SSC GD 2024 Computer Based Examination Question Paper — 20 February, Shift 1
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Last reviewed on 5 Oct 2026. Spotted a mistake? See our correction policy.