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BITSAT Algebra Questions
Practise algebra (mathematics) for the BITS Admission Test: 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: x + y = 4 and x + 2y = 9
Show answer & explanation
Answer: C — x = -1, y = 5
Elimination/substitution gives x = -1, y = 5. Check: 1(-1) + 1(5) = 4 ✓ and 1(-1) + 2(5) = 9 ✓.
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Q2.Find log₃ 9.
Show answer & explanation
Answer: B — 2
log_3(9) asks “3 to what power gives 9?” → 3^2 = 9, so the answer is 2.
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Q3.Solve: x + y = 17 and x + 2y = 23
Show answer & explanation
Answer: B — x = 11, y = 6
Elimination/substitution gives x = 11, y = 6. Check: 1(11) + 1(6) = 17 ✓ and 1(11) + 2(6) = 23 ✓.
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Q4.Find the sum of the first 17 terms of the AP 6, 8, 10, …
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Answer: D — 374
Sₙ = n/2 × [2a + (n − 1)d] = 17/2 × [12 + 32] = 374.
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Q5.Solve: 5x + 4y = 93 and 2x + y = 30
Show answer & explanation
Answer: C — x = 9, y = 12
Elimination/substitution gives x = 9, y = 12. Check: 5(9) + 4(12) = 93 ✓ and 2(9) + 1(12) = 30 ✓.
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Q6.Find the sum of the first 8 terms of the AP 8, 13, 18, …
Show answer & explanation
Answer: D — 204
Sₙ = n/2 × [2a + (n − 1)d] = 8/2 × [16 + 35] = 204.
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Q7.Solve: 3x + 3y = -9 and 3x + 5y = -7
Show answer & explanation
Answer: B — x = -4, y = 1
Elimination/substitution gives x = -4, y = 1. Check: 3(-4) + 3(1) = -9 ✓ and 3(-4) + 5(1) = -7 ✓.
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Q8.Find log₅ 3,125.
Show answer & explanation
Answer: C — 5
log_5(3125) asks “5 to what power gives 3125?” → 5^5 = 3125, so the answer is 5.
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Q9.Find log 100 (base 10).
Show answer & explanation
Answer: D — 2
log_10(100) asks “10 to what power gives 100?” → 10^2 = 100, so the answer is 2.
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Q10.Find log₃ 27.
Show answer & explanation
Answer: B — 3
log_3(27) asks “3 to what power gives 27?” → 3^3 = 27, so the answer is 3.
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 BITSAT
BITS Admission Test — conducted by Birla Institute of Technology and Science (BITS), Pilani. Online admission test for BITS Pilani, Goa and Hyderabad campuses.
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.
BITSAT 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 |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |