Question
If the product of the HCF and LCM of two distinct numbers is the cube of one of the numbers, then which of the following statements is/are correct?I. The difference of the numbers is an even number.II. One of the numbers is a perfect square.Select the answer using the code given below.
Asked in UPSC CSAT · 2026
LCM and HCF · Quantitative Aptitude
Exam PYQ4 Options
Quick Revision
When counting possible number pairs, use only co-prime factor pairs of LCM/HCF.
Correct AnswerCorrect option for this question
Learn LCM and HCF in 60 Seconds
Use this video to strengthen your understanding of HCF and LCM applications.
Everything you need to learn, practice & excel — in one place.
3,000+ Video-Based Study Material
PYQ-Based Quizzes
4,000+ Informative Audiobooks
6,300+ Full-Length Mock Tests
Daily Current Affairs
40,000+ PYQs
Questions Asked from HCF & LCM Word Problems in Previous Exams
See how often HCF & LCM Word Problems has appeared in previous-year questions across major government exams.
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 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.
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.