SSC MTS Algebra Questions
2 questions on Algebra for SSC MTS, including questions from 2024 papers. Each comes with the correct answer and a worked explanation.
- Questions
- 2
- Moderate
- 2
Algebra questions with solutions
If x + 1/x = 8, what is the value of x² + 1/x²?
- (A)66
- (B)62
- (C)16
- (D)64
Show answer and explanation
Correct answer: (B) 62
Squaring both sides: (x + 1/x)² = x² + 1/x² + 2 = 64. Therefore x² + 1/x² = 64 − 2 = 62.
Shortcut: x² + 1/x² = k² − 2 when x + 1/x = k.
If x − 1/x = 5, what is the value of x² + 1/x²?
- (A)27
- (B)29
- (C)23
- (D)10
Show answer and explanation
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.
Frequently asked questions
How many SSC MTS Algebra questions can I practise here?
2 questions — 2 moderate. 2 are shown on this page with answers and explanations, and the practice set draws from all of them.
How should I practise Algebra for SSC MTS?
Read through a few solved questions first to see the method, then take a timed practice set. Afterwards, check which questions you got wrong or spent longest on and redo those before moving on.