Question
In a division sum, the divisor is 10 times the quotient and 6 times the remainder. If the remainder is 25, what is the dividend?
Asked in RRB ALP CBT-I · 2026
Divisibility and Remainder · Quantitative Aptitude
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The remainder must always be smaller than the divisor.
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When powers become too large to calculate directly, repeating remainder cycles can often reveal the answer.
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Questions Asked from Remainder Tricks: Fermat'S Pattern & Euler'S Approach in Previous Exams
See how often Remainder Tricks: Fermat'S Pattern & Euler'S Approach has appeared in previous-year questions across major government exams.
14UPSC Questions Asked in These Years:2010, 2011, 2013, 2014, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2026
10SSC Questions Asked in These Years:2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026
9Railways Questions Asked in These Years:2016, 2018, 2020, 2021, 2022, 2023, 2024, 2025, 2026
15State PSC Questions Asked in These Years:2002, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025
Remainder Tricks: Fermat'S Pattern & Euler'S Approach has appeared in 48 previous-year exam questions, most frequently in State PSC, UPSC and SSC.
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