SSC MTS Algebra question with solution
AlgebraModerateSSC MTS 2024
If x − 1/x = 5, what is the value of x² + 1/x²?
- (A)27
- (B)29
- (C)23
- (D)10
Correct answer: (A) 27
Squaring both sides: (x − 1/x)² = x² + 1/x² − 2 = 25. Therefore x² + 1/x² = 25 + 2 = 27.
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
- Not attempted yet
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.