Question
The largest four-digit number which when divided by 12, 13 and 7 leaves remainder 3 in each case is:
Asked in RRB NTPC (UG) CBT-I · 2026
LCM and HCF · Quantitative Aptitude
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In same-remainder HCF questions, the required divisor must divide every pairwise difference exactly, so the greatest possible divisor is the HCF of those differences.
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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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