Question

Which is the largest number that divides 38, 50, 74 and 98 to leave the same remainder in each case?

Asked in SSC GD Constable · 2026
LCM and HCF · Quantitative Aptitude
Exam PYQ4 Options
Quantitative AptitudeNumber SystemLCM and HCFApplication of LCM and HCFSingle RemainderSSC GD Constable2026
💡
Quick Revision

For the largest number below a given limit leaving the same remainder, subtract the remainder from the limit, find the largest suitable multiple of the LCM, and then add the remainder back.

Correct AnswerCorrect option for this question
Option D — 12

Learn LCM and HCF in 60 Seconds

Understand LCM and HCF calculations and their practical application through this concise video explanation.

Topic Video
Everything you need to learn, practice & excel — in one place.
Video-Based Study Material
PYQ-Based Quizzes
1,000+ Informative Audiobooks
300+ Full-Length Mock Tests
Daily Current Affairs
5,000+ PYQs

Questions Asked from HCF & LCM: Word Problems Decoded in Previous Exams

See how often HCF & LCM: Word Problems Decoded has appeared in previous-year questions across major government exams.

High Exam Frequency
12UPSC Questions Asked in These Years:2010, 2011, 2013, 2014, 2016, 2017, 2020, 2021, 2022, 2023, 2024, 2026
9SSC Questions Asked in These Years:2016, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026
8Railways Questions Asked in These Years:2016, 2018, 2020, 2021, 2022, 2024, 2025, 2026
11State PSC Questions Asked in These Years:2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025
HCF & LCM: Word Problems Decoded has appeared in 40 previous-year exam questions, most frequently in UPSC, State PSC and SSC.
2-Minute Revision Notes

Revise LCM and HCF and Its Related Concepts

Strengthen key concepts with exam-focused visual notes for faster revision.

Open Revision Notes ↗

Explore More Questions

Continue practising by chapter, topic and related subjects.

One question solved. Keep going.

Continue with the next Number System question and build your accuracy one question at a time.