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Navy Agniveer SSR Algebra Questions
Practise algebra (mathematics) for the Indian Navy Agniveer (SSR) Examination: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Algebra practice
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Q1.Solve: x² − 13x + 42 = 0
Show answer & explanation
Answer: D — 6, 7
Find two roots with sum 13 and product 42: 7 and 6. So x² − 13x + 42 = (x − 7)(x − 6) = 0.
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Q2.Solve: x² − 4x + 4 = 0
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Answer: B — 2, 2
Find two roots with sum 4 and product 4: 2 and 2. So x² − 4x + 4 = (x − 2)(x − 2) = 0.
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Q3.Solve: 5x + 5y = 55 and x + 3y = 9
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Answer: D — x = 12, y = -1
Elimination/substitution gives x = 12, y = -1. Check: 5(12) + 5(-1) = 55 ✓ and 1(12) + 3(-1) = 9 ✓.
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Q4.Find the sum of the first 14 terms of the AP 10, 15, 20, …
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Answer: B — 595
Sₙ = n/2 × [2a + (n − 1)d] = 14/2 × [20 + 65] = 595.
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Q5.Find the sum of the first 27 terms of the AP 2, 7, 12, …
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Answer: B — 1809
Sₙ = n/2 × [2a + (n − 1)d] = 27/2 × [4 + 130] = 1,809.
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Q6.Solve: 4x + 4y = 40 and 5x + y = 6
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Answer: C — x = -1, y = 11
Elimination/substitution gives x = -1, y = 11. Check: 4(-1) + 4(11) = 40 ✓ and 5(-1) + 1(11) = 6 ✓.
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Q7.Solve: 2x + 5y = 49 and 5x + 2y = 28
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Answer: A — x = 2, y = 9
Elimination/substitution gives x = 2, y = 9. Check: 2(2) + 5(9) = 49 ✓ and 5(2) + 2(9) = 28 ✓.
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Q8.Solve: 2x + 2y = 30 and 5x + 4y = 65
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Answer: C — x = 5, y = 10
Elimination/substitution gives x = 5, y = 10. Check: 2(5) + 2(10) = 30 ✓ and 5(5) + 4(10) = 65 ✓.
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Q9.Solve: x² + 9x + 18 = 0
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Answer: C — -6, -3
Find two roots with sum -9 and product 18: -6 and -3. So x² + 9x + 18 = (x + 6)(x + 3) = 0.
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Q10.Solve: x² + 10x + 9 = 0
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Answer: B — -9, -1
Find two roots with sum -10 and product 9: -9 and -1. So x² + 10x + 9 = (x + 9)(x + 1) = 0.
How to approach algebra questions
Factorise quadratics by finding two numbers with the right sum and product; check roots by substitution. For simultaneous equations, elimination is usually faster than substitution under time pressure.
About Navy Agniveer SSR
Indian Navy Agniveer (SSR) Examination — conducted by Indian Navy. Selects Agniveers (Senior Secondary Recruits) for the Indian Navy.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
Navy Agniveer SSR practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Physics | Science | Calculated + question bank |
| Chemistry | Science | Calculated + question bank |
| English Grammar | English | Question bank |