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SSC GD Constable Number System & Simplification Questions
Practise number system & simplification (quantitative aptitude) for the SSC General Duty Constable 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.
Number System & Simplification practice
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Q1.Find the next number in the series: 1, 2, 4, 8, 16, ?
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Answer: A — 32
Each term is multiplied by 2.
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Q2.Find the HCF of 35 and 56.
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Answer: C — 7
HCF(35, 56) = 7. Check: HCF × LCM = 7 × 280 = 1960 = product of the numbers.
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Q3.Simplify: 39 + 4 × 7 − 48
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Answer: B — 19
BODMAS: multiply first — 4 × 7 = 28; then 39 + 28 − 48 = 19.
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Q4.Find the HCF of 18 and 81.
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Answer: D — 9
HCF(18, 81) = 9. Check: HCF × LCM = 9 × 162 = 1458 = product of the numbers.
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Q5.Find the next number in the series: 64, 81, 100, 121, 144, ?
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Answer: B — 169
Squares of consecutive numbers: 8², 9², … → 13² = 169.
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Q6.Find the LCM of 6 and 14.
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Answer: A — 42
LCM(6, 14) = 42. Check: HCF × LCM = 2 × 42 = 84 = product of the numbers.
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Q7.Simplify: 31 + 5 × 9 − 43
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Answer: A — 33
BODMAS: multiply first — 5 × 9 = 45; then 31 + 45 − 43 = 33.
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Q8.Find the next number in the series: 25, 36, 49, 64, 81, ?
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Answer: A — 100
Squares of consecutive numbers: 5², 6², … → 10² = 100.
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Q9.Find the next number in the series: 12, 14, 18, 24, 32, ?
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Answer: C — 42
Differences are 2, 4, 6, 8 → next difference 10.
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Q10.Simplify: 41 + 4 × 2 − 40
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Answer: D — 9
BODMAS: multiply first — 4 × 2 = 8; then 41 + 8 − 40 = 9.
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 SSC GD Constable
SSC General Duty Constable Examination — conducted by Staff Selection Commission (SSC). Recruits constables for the Central Armed Police Forces, SSF and Assam Rifles.
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.
SSC GD Constable practice topics
| Topic | Section | Question source |
|---|---|---|
| Number System & Simplification | Quantitative aptitude | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| Indian Polity, History & Geography | General awareness | Question bank |
| English Grammar | English | Question bank |