SSC CGL Algebra question with solution
AlgebraModerateSSC CGL 2023
If x − 1/x = 7, what is the value of x² + 1/x²?
- (A)51
- (B)49
- (C)47
- (D)14
Correct answer: (A) 51
Squaring both sides: (x − 1/x)² = x² + 1/x² − 2 = 49. Therefore x² + 1/x² = 49 + 2 = 51.
Shortcut: x² + 1/x² = k² + 2 when x − 1/x = k.
About this question
- Subject
- Quantitative Aptitude
- Topic
- Algebra
- Exam
- SSC CGL 2023
- Attempts on SSC Rank
- Not attempted yet
Appears in: SSC CGL 2023 Tier 1 Question Paper — 14 July, Shift 1
More SSC CGL Algebra questions
Last reviewed on 5 Oct 2026. Spotted a mistake? See our correction policy.