Agniveer Navy Algebra Questions with Answers & Explanations

20 Algebra questions from the Mathematics section of Agniveer Navy, 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?

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Answer: (D) 52 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 4³ − 3 × 4 = 52.

Question 2

Solve: 1x + 3y = 10 and 1x − 1y = 2. What is the value of x?

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Answer: (B) 4 Solving the two equations gives x = 4, y = 2.

Question 3

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

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Answer: (C) 34 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 6² − 2 = 34.

Question 4

Solve: 5x + 4y = 87 and 1x − 1y = 3. What is the value of x?

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Answer: (D) 11 Solving the two equations gives x = 11, y = 8.

Question 5

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

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Answer: (B) 7 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 3² − 2 = 7.

Question 6

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

A216
B192
C198
D201

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Answer: (C) 198 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 6³ − 3 × 6 = 198.

Question 7

Solve: 3x + 3y = 60 and 3x − 4y = 4. What is the value of x?

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Answer: (D) 12 Solving the two equations gives x = 12, y = 8.

Question 8

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

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Answer: (B) 23 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 5² − 2 = 23.

Question 9

Solve: 3x + 4y = 49 and 1x − 5y = -9. What is the value of x?

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Answer: (A) 11 Solving the two equations gives x = 11, y = 4.

Question 10

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

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Answer: (C) 79 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 9² − 2 = 79.

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Question 11

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

A322
B325
C315
D364

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Answer: (A) 322 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 7³ − 3 × 7 = 322.

Question 12

Solve: 5x + 4y = 69 and 4x − 5y = 6. What is the value of x?

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Answer: (D) 9 Solving the two equations gives x = 9, y = 6.

Question 13

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

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Answer: (C) 18 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 3³ − 3 × 3 = 18.

Question 14

Solve: 1x + 4y = 19 and 4x − 2y = 40. What is the value of x?

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Answer: (C) 11 Solving the two equations gives x = 11, y = 2.

Question 15

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

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Answer: (B) 34 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 6² − 2 = 34.

Question 16

Solve: 3x + 5y = 50 and 2x − 4y = 4. What is the value of x?

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Answer: (C) 10 Solving the two equations gives x = 10, y = 4.

Question 17

If x + 1/x = 4, what is the value of x² + 1/x²?

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Answer: (C) 14 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 4² − 2 = 14.

Question 18

Solve: 1x + 4y = 24 and 4x − 3y = 39. What is the value of x?

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Answer: (A) 12 Solving the two equations gives x = 12, y = 3.

Question 19

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

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Answer: (C) 62 (x + 1/x)² = x² + 1/x² + 2, so x² + 1/x² = 8² − 2 = 62.

Question 20

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

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Answer: (D) 18 x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x) = 3³ − 3 × 3 = 18.

These are RankerClub practice questions written in the Agniveer Navy pattern. They are not official SSC/IBPS/RRB papers.

Agniveer Navy Algebra Questions with Answers & Explanations

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