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Agniveer Army CEE Number System & Simplification Questions
Practise number system & simplification (quantitative aptitude) for the Indian Army Agniveer Common Entrance Exam: 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.
Number System & Simplification practice
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Q1.What is √3,025?
Show answer & explanation
Answer: D — 55
55 × 55 = 3025, so √3025 = 55.
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Q2.What is √3,364?
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Answer: D — 58
58 × 58 = 3364, so √3364 = 58.
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Q3.Find the LCM of 16 and 16.
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Answer: A — 16
LCM(16, 16) = 16. Check: HCF × LCM = 16 × 16 = 256 = product of the numbers.
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Q4.Find the next number in the series: 3, 6, 12, 24, 48, ?
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Answer: B — 96
Each term is multiplied by 2.
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Q5.Find the HCF of 15 and 12.
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Answer: C — 3
HCF(15, 12) = 3. Check: HCF × LCM = 3 × 60 = 180 = product of the numbers.
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Q6.What is √729?
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Answer: D — 27
27 × 27 = 729, so √729 = 27.
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Q7.Find the next number in the series: 12, 14, 18, 24, 32, ?
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Answer: B — 42
Differences are 2, 4, 6, 8 → next difference 10.
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Q8.Find the next number in the series: 1, 2, 4, 8, 16, ?
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Answer: C — 32
Each term is multiplied by 2.
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Q9.Simplify: 78 + 7 × 6 − 28
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Answer: A — 92
BODMAS: multiply first — 7 × 6 = 42; then 78 + 42 − 28 = 92.
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Q10.Find the next number in the series: 14, 29, 44, 59, 74, ?
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Answer: B — 89
Each term increases by 15.
How to approach number system & simplification questions
Learn squares to 30 and cubes to 15, apply BODMAS strictly, and use HCF × LCM = product of two numbers. For series, check the differences first, then the ratios.
About Agniveer Army CEE
Indian Army Agniveer Common Entrance Exam — conducted by Indian Army. The online common entrance exam for Agniveer General Duty, Technical, Clerk and Tradesman categories.
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.
Agniveer Army CEE practice topics
| Topic | Section | Question source |
|---|---|---|
| Number System & Simplification | Quantitative aptitude | Calculated (new numbers every set) |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| Indian Polity, History & Geography | General awareness | Question bank |
| Physics | Science | Calculated + question bank |