Question
A positive integer N divides 228, leaving a remainder of 18. What is the greatest two-digit value of N?
Asked in RRB NTPC (UG) CBT-I · 2026
Divisibility and Remainder · Quantitative Aptitude
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When the same remainder is left by several numbers, their pairwise differences are divisible by the required divisor.
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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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