Question

Two numbers are such that their HCF is 18 and their LCM is 540. If the sum of the two numbers is 198, find the numbers.

Asked in SSC GD Constable · 2026
LCM and HCF · Quantitative Aptitude
Exam PYQ4 Options
Quantitative AptitudeNumber SystemLCM and HCFLCM and HCF BothPossibilitySSC GD Constable2026
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Quick Revision

For difference-based questions, look for a co-prime factor pair of LCM ÷ HCF whose difference equals Difference ÷ HCF.

Correct AnswerCorrect option for this question
Option D — 90 and 108

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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.
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