SSC CHSL Algebra Questions
4 questions on Algebra for SSC CHSL, including questions from 2024 papers. Each comes with the correct answer and a worked explanation.
- Questions
- 4
- Moderate
- 4
Algebra questions with solutions
If x − 1/x = 11, what is the value of x² + 1/x²?
- (A)22
- (B)125
- (C)121
- (D)123
Show answer and explanation
Correct answer: (D) 123
Squaring both sides: (x − 1/x)² = x² + 1/x² − 2 = 121. Therefore x² + 1/x² = 121 + 2 = 123.
Shortcut: x² + 1/x² = k² + 2 when x − 1/x = k.
If x + 1/x = 3, what is the value of x² + 1/x²?
- (A)7
- (B)9
- (C)6
- (D)11
Show answer and explanation
Correct answer: (A) 7
Squaring both sides: (x + 1/x)² = x² + 1/x² + 2 = 9. Therefore x² + 1/x² = 9 − 2 = 7.
Shortcut: x² + 1/x² = k² − 2 when x + 1/x = k.
If x − 1/x = 8, what is the value of x² + 1/x²?
- (A)62
- (B)66
- (C)16
- (D)64
Show answer and explanation
Correct answer: (B) 66
Squaring both sides: (x − 1/x)² = x² + 1/x² − 2 = 64. Therefore x² + 1/x² = 64 + 2 = 66.
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)20
- (B)100
- (C)98
- (D)102
Show answer and explanation
Correct answer: (D) 102
Squaring both sides: (x − 1/x)² = x² + 1/x² − 2 = 100. Therefore x² + 1/x² = 100 + 2 = 102.
Shortcut: x² + 1/x² = k² + 2 when x − 1/x = k.
Frequently asked questions
How many SSC CHSL Algebra questions can I practise here?
4 questions — 4 moderate. 4 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 CHSL?
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.