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DSSSB PRT/TGT Algebra Questions with Answers & Explanations

20 Algebra questions from the Subject: Mathematics section of DSSSB PRT/TGT, 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 x² + 1/x²?

  1. A18
  2. B13
  3. C8
  4. D14
Show answer
Answer: (D) 14 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 4² − 2 = 14.
Question 2

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

  1. A81
  2. B79
  3. C83
  4. D18
Show answer
Answer: (B) 79 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 9² − 2 = 79.
Question 3

Solve: 1x + 4y = 38 and 4x − 2y = -10. What is the value of x?

  1. A2
  2. B1
  3. C5
  4. D3
Show answer
Answer: (A) 2 Solving the two equations gives x = 2, y = 9.
Question 4

Solve: 4x + 2y = 32 and 1x − 5y = -25. What is the value of x?

  1. A6
  2. B5
  3. C2
  4. D7
Show answer
Answer: (B) 5 Solving the two equations gives x = 5, y = 6.
Question 5

If x + 1/x = 6, what is the value of x³ + 1/x³?

  1. A234
  2. B198
  3. C201
  4. D216
Show answer
Answer: (B) 198 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 6³ − 3 × 6 = 198.
Question 6

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

  1. A48
  2. B76
  3. C55
  4. D52
Show answer
Answer: (D) 52 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 4³ − 3 × 4 = 52.
Question 7

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

  1. A364
  2. B315
  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 8

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

  1. A38
  2. B34
  3. C12
  4. D33
Show answer
Answer: (B) 34 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 6² − 2 = 34.
Question 9

Solve: 2x + 5y = 71 and 5x − 4y = -4. What is the value of x?

  1. A10
  2. B9
  3. C8
  4. D5
Show answer
Answer: (C) 8 Solving the two equations gives x = 8, y = 11.
Question 10

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

  1. A11
  2. B6
  3. C9
  4. D7
Show answer
Answer: (D) 7 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 3² − 2 = 7.

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Question 11

Solve: 3x + 3y = 42 and 1x − 3y = 6. What is the value of x?

  1. A12
  2. B10
  3. C11
  4. D13
Show answer
Answer: (A) 12 Solving the two equations gives x = 12, y = 2.
Question 12

Solve: 1x + 1y = 16 and 2x − 4y = -4. What is the value of x?

  1. A12
  2. B11
  3. C9
  4. D10
Show answer
Answer: (D) 10 Solving the two equations gives x = 10, y = 6.
Question 13

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

  1. A21
  2. B27
  3. C15
  4. D18
Show answer
Answer: (D) 18 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 3³ − 3 × 3 = 18.
Question 14

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

  1. A47
  2. B46
  3. C49
  4. D51
Show answer
Answer: (A) 47 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 7² − 2 = 47.
Question 15

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

  1. A105
  2. B110
  3. C113
  4. D125
Show answer
Answer: (B) 110 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 5³ − 3 × 5 = 110.
Question 16

Solve: 1x + 2y = 35 and 3x − 3y = -3. What is the value of x?

  1. A11
  2. B12
  3. C14
  4. D10
Show answer
Answer: (A) 11 Solving the two equations gives x = 11, y = 12.
Question 17

Solve: 5x + 1y = 69 and 3x − 1y = 27. What is the value of x?

  1. A11
  2. B14
  3. C9
  4. D12
Show answer
Answer: (D) 12 Solving the two equations gives x = 12, y = 9.
Question 18

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

  1. A46
  2. B51
  3. C47
  4. D49
Show answer
Answer: (C) 47 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 7² − 2 = 47.
Question 19

If x + 1/x = 6, what is the value of x³ + 1/x³?

  1. A192
  2. B216
  3. C198
  4. D234
Show answer
Answer: (C) 198 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 6³ − 3 × 6 = 198.
Question 20

Solve: 3x + 5y = 90 and 3x − 4y = -18. What is the value of x?

  1. A11
  2. B10
  3. C9
  4. D8
Show answer
Answer: (B) 10 Solving the two equations gives x = 10, y = 12.

These are RankerClub practice questions written in the DSSSB PRT/TGT pattern. They are not official SSC/IBPS/RRB papers.

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