Question

When a number is divided by 18 , it gives 4 as remainder. If the sum of divisor and quotient is 30 , then what is the number?

Name: Remainder Tricks: Fermat'S Pattern & Euler'S Approach
Uploaded: 2026-09-11T06:49:01.000Z
Description: For questions that appear calculation-heavy, these methods can often reveal a much shorter route.

Asked in MPTET Varg-2 (Math) · 2023

Divisibility and Remainder · Quantitative Aptitude

Exam PYQ4 Options

Quantitative AptitudeNumber SystemDivisibility and RemainderRemainderMPTET Varg-2 (Math)2023

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Quick Revision

When the same remainder is left by several numbers, their pairwise differences are divisible by the required divisor.

Correct AnswerCorrect option for this question

Option B — 220

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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.

High Exam Frequency

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.

2-Minute Revision Notes