SSC GD Algebra Questions
3 questions on Algebra for SSC GD, including questions from 2024 papers. Each comes with the correct answer and a worked explanation.
- Questions
- 3
- Moderate
- 3
Algebra questions with solutions
If x + 1/x = 6, what is the value of x² + 1/x²?
- (A)12
- (B)36
- (C)40
- (D)34
Show answer and explanation
Correct answer: (D) 34
Squaring both sides: (x + 1/x)² = x² + 1/x² + 2 = 36. Therefore x² + 1/x² = 36 − 2 = 34.
Shortcut: x² + 1/x² = k² − 2 when x + 1/x = k.
If x + 1/x = 4, what is the value of x² + 1/x²?
- (A)8
- (B)20
- (C)16
- (D)14
Show answer and explanation
Correct answer: (D) 14
Squaring both sides: (x + 1/x)² = x² + 1/x² + 2 = 16. Therefore x² + 1/x² = 16 − 2 = 14.
Shortcut: x² + 1/x² = k² − 2 when x + 1/x = k.
If x + 1/x = 10, what is the value of x² + 1/x²?
- (A)104
- (B)100
- (C)20
- (D)98
Show answer and explanation
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.
Frequently asked questions
How many SSC GD Algebra questions can I practise here?
3 questions — 3 moderate. 3 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 GD?
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.