Question

Find the smallest number which, when divided by both 12 and 15, leaves a remainder of 7 in each case.

Asked in DSSSB MTS · 2026
LCM and HCF · Quantitative Aptitude
Exam PYQ4 Options
Quantitative AptitudeNumber SystemLCM and HCFApplication of LCM and HCFDSSSB MTS2026
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For the largest number below a limit leaving the same remainder, subtract the remainder from the limit, take the greatest suitable multiple of the LCM, then add the remainder back.

Correct AnswerCorrect option for this question
Option C — 67

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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.

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 has appeared in 40 previous-year exam questions, most frequently in UPSC, State PSC and SSC.
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