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Remainder Theorem Questions

Practice 22 Remainder Theorem questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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22
Total Questions
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4
Easy
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17
Medium
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1
Hard
Practice by Exam:Quantitative Aptitude(15)Mathematics and Science(4)Number System(1)Algebra(1)Mathematics(1)

About Remainder Theorem — practice questions, PYQs & concepts

Remainder Theorem is a frequently-tested topic on Quantitative Aptitude, Mathematics and Science, Number System. ExamTest.live currently lists 22 Remainder Theorem questions spanning previous-year papers from 2017 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Remainder Theorem weight in competitive exams

Across our Remainder Theorem question bank, the largest sources are Quantitative Aptitude (15), Mathematics and Science (4), Number System (1), Algebra (1) and Mathematics (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 4 easy Remainder Theorem questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Remainder Theorem Questions(1–22 of 22)

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Q1easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
What least number must be subtracted from 2001 to get a number exactly divisible by 17?
Q2easymcqQuantitative AptitudeSSC CGL2026
50% accuracy
Without actual division, find the remainder when 379843 is divided by 3.
Q3mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If is divided by 18, the remainder is
Q4mediummcqNumber SystemCompetitive Exam2026
0% accuracy
When a number is divided by 296, the remainder is 75. What will be the remainder when the same number is divided by 37?
Q5mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
If is divided by , the remainder is
Q6mediummcqQuantitative AptitudeWBCS Prelims2026
The least number which when divided by and leaves a remainder of in each division is
Q7mediummcqQuantitative AptitudeCompetitive Exam2026
Find the least possible 5-digit number which, when divided by each of and , leaves a remainder of .
Q8mediummcqQuantitative AptitudeCompetitive Exam2026
If is divided by , the remainder is:
Q9mediummcqQuantitative AptitudeCompetitive Exam2026
A whole number which when divided by gives as remainder. What will be the remainder when is divided by ?
Q10mediummcqAlgebraCompetitive Exams2026
If is divisible by , then the value of is
Q11mediummcqQuantitative AptitudeSSC CGL2026
A number when divided by 49 leaves a remainder 9. If the same number is divided by 7, then the remainder will be:
Q12mediummcqMathematicsUPTET 2021 Memory Based Paper 12026
If and be any two positive integers which on division by 6 earn remainder 4 and 5 respectively. Now the remainder when is divided by 6 is:
Q13mediummcqQuantitative AptitudePractice Test2026
Find the remainder when 11
7
+9 is divided by 10.
Q14mediummcqQuantitative AptitudeSSC CGL2026
If is divided by , then what will be the remainder?
Q15mediummcqQuantitative AptitudeCompetitive Exam2026
In a division problem, the divisor is times the quotient and 96$, find the dividend.
Q16hardmcqQuantitative AptitudeSSC CGL2026
Let be the least multiple of which when divided by and leaves the remainders and respectively. What is the sum of digits of ?
Q17mediummcqQuantitative AptitudePractice Test2026
The greatest number that divides , and leaving the same remainder is:
Q18mediummcqQuantitative AptitudeCompetitive Exam2026
If 5
55
is divided by 4, then the remainder is:
Q19mediummcqQuantitative AptitudeCompetitive Exam2026
A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 13. What is the value of the divisor?
Q20mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2018
The polynomial has as a factor and leaves remainder when divided by . Find the value of and .
Q21easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
When x
13
+1 is divided by x−1, then what is the remainder?
Q22easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
When x 13 + 1 is divided by x - 1, then what is the remainder?

Frequently Asked Questions

How many Remainder Theorem questions are on ExamTest.live?▼
We have 22 Remainder Theorem questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Remainder Theorem MCQs free?▼
Yes. All Remainder Theorem questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Remainder Theorem questions?▼
Remainder Theorem questions are commonly asked in Quantitative Aptitude, Mathematics and Science, Number System, Algebra, Mathematics. You can filter by exam using the links above.
How do I practice Remainder Theorem questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.