Question
What is the least number, which when divided by 9, 16, 30 and 24 leaves remainder 6 in each case?
Asked in SSC GD Constable · 2026
LCM and HCF · Quantitative Aptitude
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If the remainders are one less than the divisors, such as remainder 2 on division by 3, 3 on division by 4, and 4 on division by 5, add 1 to the number; the result must be divisible by the LCM of the divisors.
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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.
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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