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SSC CPO SI/ASI Algebra Questions with Answers & Explanations

20 Algebra questions from the Quantitative Aptitude section of SSC CPO SI/ASI, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

If x + 1/x = 4, what is the value of x³ + 1/x³?

  1. A48
  2. B64
  3. C52
  4. D55
Show answer
Answer: (C) 52 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 4³ − 3 × 4 = 52.
Question 2

If x + 1/x = 3, what is the value of x² + 1/x²?

  1. A9
  2. B7
  3. C6
  4. D11
Show answer
Answer: (B) 7 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 3² − 2 = 7.
Question 3

Solve: 5x + 2y = 65 and 4x − 2y = 34. What is the value of x?

  1. A12
  2. B14
  3. C10
  4. D11
Show answer
Answer: (D) 11 Solving the two equations gives x = 11, y = 5.
Question 4

If x + 1/x = 5, what is the value of x³ + 1/x³?

  1. A110
  2. B125
  3. C140
  4. D105
Show answer
Answer: (A) 110 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 5³ − 3 × 5 = 110.
Question 5

Solve: 5x + 1y = 45 and 2x − 2y = 6. What is the value of x?

  1. A6
  2. B8
  3. C9
  4. D7
Show answer
Answer: (B) 8 Solving the two equations gives x = 8, y = 5.
Question 6

If x + 1/x = 9, what is the value of x² + 1/x²?

  1. A79
  2. B18
  3. C83
  4. D78
Show answer
Answer: (A) 79 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 9² − 2 = 79.
Question 7

Solve: 1x + 3y = 38 and 4x − 1y = 35. What is the value of x?

  1. A10
  2. B14
  3. C9
  4. D11
Show answer
Answer: (D) 11 Solving the two equations gives x = 11, y = 9.
Question 8

If x + 1/x = 7, what is the value of x² + 1/x²?

  1. A49
  2. B46
  3. C47
  4. D14
Show answer
Answer: (C) 47 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 7² − 2 = 47.
Question 9

If x + 1/x = 3, what is the value of x³ + 1/x³?

  1. A21
  2. B27
  3. C36
  4. D18
Show answer
Answer: (D) 18 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 3³ − 3 × 3 = 18.
Question 10

Solve: 1x + 1y = 14 and 4x − 1y = 6. What is the value of x?

  1. A2
  2. B1
  3. C4
  4. D3
Show answer
Answer: (C) 4 Solving the two equations gives x = 4, y = 10.

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Question 11

If x + 1/x = 6, what is the value of x² + 1/x²?

  1. A12
  2. B38
  3. C36
  4. D34
Show answer
Answer: (D) 34 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 6² − 2 = 34.
Question 12

Solve: 4x + 3y = 43 and 5x − 4y = 15. What is the value of x?

  1. A7
  2. B10
  3. C8
  4. D6
Show answer
Answer: (A) 7 Solving the two equations gives x = 7, y = 5.
Question 13

If x + 1/x = 3, what is the value of x² + 1/x²?

  1. A11
  2. B9
  3. C7
  4. D6
Show answer
Answer: (C) 7 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 3² − 2 = 7.
Question 14

If x + 1/x = 7, what is the value of x³ + 1/x³?

  1. A325
  2. B364
  3. C322
  4. D343
Show answer
Answer: (C) 322 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 7³ − 3 × 7 = 322.
Question 15

Solve: 3x + 2y = 25 and 2x − 1y = -2. What is the value of x?

  1. A4
  2. B1
  3. C3
  4. D2
Show answer
Answer: (C) 3 Solving the two equations gives x = 3, y = 8.
Question 16

Solve: 2x + 2y = 24 and 2x − 5y = -25. What is the value of x?

  1. A5
  2. B6
  3. C2
  4. D8
Show answer
Answer: (A) 5 Solving the two equations gives x = 5, y = 7.
Question 17

If x + 1/x = 5, what is the value of x² + 1/x²?

  1. A10
  2. B23
  3. C25
  4. D27
Show answer
Answer: (B) 23 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 5² − 2 = 23.
Question 18

Solve: 4x + 3y = 54 and 3x − 4y = 3. What is the value of x?

  1. A10
  2. B6
  3. C8
  4. D9
Show answer
Answer: (D) 9 Solving the two equations gives x = 9, y = 6.
Question 19

If x + 1/x = 8, what is the value of x² + 1/x²?

  1. A62
  2. B16
  3. C61
  4. D66
Show answer
Answer: (A) 62 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 8² − 2 = 62.
Question 20

Solve: 5x + 5y = 85 and 4x − 1y = 18. What is the value of x?

  1. A6
  2. B9
  3. C10
  4. D7
Show answer
Answer: (D) 7 Solving the two equations gives x = 7, y = 10.

These are RankerClub practice questions written in the SSC CPO SI/ASI pattern. They are not official SSC/IBPS/RRB papers.

More Quantitative Aptitude topics

Number System 37 Qs Speed, Time & Distance 30 Qs Profit, Loss & Discount 27 Qs Geometry 22 Qs Simple & Compound Interest 21 Qs Mensuration 21 Qs Percentage 20 Qs Simplification & Approximation 19 Qs

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