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RRB ALP Number System & Simplification Questions

Practise number system & simplification (quantitative aptitude) for the RRB Assistant Loco Pilot 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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  1. Q1.Find the next number in the series: 2, 4, 8, 16, 32, ?

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    Answer: B — 64

    Each term is multiplied by 2.

  2. Q2.Find the next number in the series: 11, 13, 17, 23, 31, ?

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    Answer: A — 41

    Differences are 2, 4, 6, 8 → next difference 10.

  3. Q3.Find the HCF of 20 and 10.

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    Answer: C — 10

    HCF(20, 10) = 10. Check: HCF × LCM = 10 × 20 = 200 = product of the numbers.

  4. Q4.Find the HCF of 6 and 10.

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    Answer: B — 2

    HCF(6, 10) = 2. Check: HCF × LCM = 2 × 30 = 60 = product of the numbers.

  5. Q5.Find the HCF of 6 and 4.

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    Answer: D — 2

    HCF(6, 4) = 2. Check: HCF × LCM = 2 × 12 = 24 = product of the numbers.

  6. Q6.Simplify: 19 + 4 × 9 − 2

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    Answer: B — 53

    BODMAS: multiply first — 4 × 9 = 36; then 19 + 36 − 2 = 53.

  7. Q7.Simplify: 82 + 5 × 6 − 35

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    Answer: A — 77

    BODMAS: multiply first — 5 × 6 = 30; then 82 + 30 − 35 = 77.

  8. Q8.Simplify: 77 + 4 × 5 − 33

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    Answer: C — 64

    BODMAS: multiply first — 4 × 5 = 20; then 77 + 20 − 33 = 64.

  9. Q9.What is √1,369?

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    Answer: C — 37

    37 × 37 = 1369, so √1369 = 37.

  10. Q10.Find the next number in the series: 10, 12, 16, 22, 30, ?

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    Answer: A — 40

    Differences are 2, 4, 6, 8 → next difference 10.

Free RRB ALP Number System & Simplification Questions by pGento

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 RRB ALP

RRB Assistant Loco Pilot Examination — conducted by Railway Recruitment Boards (RRB). Recruits Assistant Loco Pilots and technicians for Indian Railways.

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.

RRB ALP practice topics

TopicSectionQuestion source
Number System & SimplificationQuantitative aptitudeCalculated (new numbers every set)
Logical ReasoningReasoningCalculated (new numbers every set)
PhysicsScienceCalculated + question bank
ChemistryScienceCalculated + question bank
Indian Polity, History & GeographyGeneral awarenessQuestion bank

Frequently asked questions

Find the next number in the series: 2, 4, 8, 16, 32, ?
Answer: B — 64. Each term is multiplied by 2.
Find the next number in the series: 11, 13, 17, 23, 31, ?
Answer: A — 41. Differences are 2, 4, 6, 8 → next difference 10.
Find the HCF of 20 and 10.
Answer: C — 10. HCF(20, 10) = 10. Check: HCF × LCM = 10 × 20 = 200 = product of the numbers.
Are these real past exam papers?
No. Every question is an original practice question written in the style, syllabus and difficulty of the exam, with a worked explanation. The site is not affiliated with any exam body.
RRB ALP Number System & Simplification Questions

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