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Mathematics - Binomial Theorem

Practise 48 COMEDK previous year questions on Binomial Theorem, compiled from papers spanning 2012 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty COMEDK tests.

Binomial Theorem has been asked in 14 of the 15 years of COMEDK papers analysed (2012–2026), with 48 questions in all. 54% of them were easy, 38% moderate and 8% tough. Most of its questions came from 2024, with 9 questions that year. In the last three years (2024–2026) it had 16 questions across 9 papers, about 1.8 per paper.

The chapter's 4 topics are not weighted equally: Terms of Binomial Expansion (31 questions, 65%), Remainder and Divisibility Problems (9 questions, 19%), and Properties of Binomial Coefficients (6 questions, 13%) have been asked the most. Terms of Binomial Expansion has also led over the last five years, with 19 questions. Terms of Binomial Expansion has produced the most tough questions (3).

  1. 1The remainder when is divided by is09 May, 2026 (S1)Remainder and Divisibility Problems
  2. 2If , and are in arithmetic progression, then the positive integer value of ' ' can be09 May, 2026 (S2)Properties of Binomial Coefficients
  3. 3If the coefficients of and in the expansion of are equal, then the value of ' ' is09 May, 2026 (S2)Terms of Binomial Expansion
  4. 4The ratio of the coefficient of to the term independent of in the expansion of is25 May, 2025 (Shift)Terms of Binomial Expansion
  5. 5If the third and fourth terms in the expansion are equal, then the value of is10 May, 2025 (S1)Terms of Binomial Expansion
  6. 6Evaluate the value of using binomial theorem up to two decimal places.10 May, 2025 (S2)Binomial Theorem for Rational Index
  7. 7If , then ' n ' is10 May, 2025 (S2)Properties of Binomial Coefficients
  8. 8If the sum of the coefficients of the first three terms in the expansion of is 559. Find the value of ' ' if ' ' belongs to positive integer2024 (Afternoon Shift)Terms of Binomial Expansion
  9. 9In the expansion the co - efficient of term is equal to , then the principal value of is2024 (Evening Shift)Terms of Binomial Expansion
  10. 10The total number of terms in is2024 (Memory Based)Terms of Binomial Expansion
  11. 11Middle term of the expansion is2024 (Memory Based)Terms of Binomial Expansion
  12. 12If then the value of is2024 (Memory Based)Properties of Binomial Coefficients
  13. 13The coefficient of in the expansion of is2024 (Memory Based)Terms of Binomial Expansion
  14. 14The coefficient of in the expansion of is2024 (Memory Based)Terms of Binomial Expansion
  15. 15is divisible by2024 (Memory Based)Remainder and Divisibility Problems
  16. 16The coefficient of the third term in the expansion of , when expanded in the descending power of is 31, then is2024 (Morning Shift)Terms of Binomial Expansion
  17. 17Find , if2023 (Memory Based)Properties of Binomial Coefficients
  18. 18The total number of terms in the expansion of is2023 (Memory Based)Terms of Binomial Expansion
  19. 19The coefficient of in the expansion of is2023 (Memory Based)Terms of Binomial Expansion
  20. 20In the expansion of , the term which has greatest binomial coefficient, is2023 (Memory Based)Terms of Binomial Expansion
  21. 21If is divisible by 64 for , then the greatest negative integral value of is2023 (Morning Shift)Remainder and Divisibility Problems
  22. 22The coefficient of in the expansion of is2023 (Morning Shift)Terms of Binomial Expansion
  23. 23The total number of terms in the expansion of is2023 (Morning Shift)Terms of Binomial Expansion
  24. 24In the expansion of , the term which has greatest binomial coefficient, is2023 (Morning Shift)Terms of Binomial Expansion
  25. 25The approximate value of is2022Binomial Theorem for Rational Index
  26. 26If is divisible by 9 for all , then the least negative integral value of is2022Remainder and Divisibility Problems
  27. 27is divisible by2022Remainder and Divisibility Problems
  28. 28If , then ?2022Properties of Binomial Coefficients
  29. 29The total number of terms in the expansion of is2022Terms of Binomial Expansion
  30. 30The coefficient of in the expansion of is2022Terms of Binomial Expansion
  31. 31In the expansion of , the middle term is2022Terms of Binomial Expansion
  32. 32Number of terms in the binomial expansion of is2021Terms of Binomial Expansion
  33. 33The coefficient of in the expansion of is2021Terms of Binomial Expansion
  34. 34Middle term in the expansion of is2021Terms of Binomial Expansion
  35. 35The ninth term of the expansion is2020Terms of Binomial Expansion
  36. 36The remainder obtained when is divided by 124 is2020Remainder and Divisibility Problems
  37. 37The remainder when is divided by 5 is2019Remainder and Divisibility Problems
  38. 38If occurs is the expansion of , then its coefficient is2018Terms of Binomial Expansion
  39. 39If are binomial coefficients of order , then the value of2018Properties of Binomial Coefficients
  40. 40The sum of non-prime positive divisors of 450 is2018Remainder and Divisibility Problems
  41. 41Given, the positive integers and the coefficients of th and th terms in the expansion of are equal, then2017Terms of Binomial Expansion
  42. 42The expression is a polynomial in of degree2015Terms of Binomial Expansion
  43. 43If in the expansion of , the coefficient of and are 8 and 24 , then2015Terms of Binomial Expansion
  44. 44If the coefficient of and in are equal, then is2014Terms of Binomial Expansion
  45. 45The term independent of in is2014Terms of Binomial Expansion
  46. 46The smallest positive integer for which is2013Terms of Binomial Expansion
  47. 47The number of positive divisors of 4896 is2012Remainder and Divisibility Problems
  48. 48The middle term in the expansion of is2012Terms of Binomial Expansion

Frequently Asked Questions

1.How many questions are available for Binomial Theorem?

This chapter includes 48 questions compiled from COMEDK papers spanning 2012 to 2026.

2.Are these questions only from COMEDK, or from other exams too?

These are COMEDK questions specifically for the Binomial Theorem chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Binomial Theorem an important chapter for COMEDK Mathematics?

Binomial Theorem has appeared in 14 of the 15 years of COMEDK papers covered here, with 48 questions across 21 papers - about 2 per paper it appears in.

4.What is the difficulty level of Binomial Theorem questions in COMEDK?

Of the 48 questions analysed for this chapter, 54% are easy, 38% moderate and 8% tough. 2024 had the most, with 9 questions.

5.Which topics in Binomial Theorem should I focus on?

These topics have carried the most weightage in Binomial Theorem:

  • Terms of Binomial Expansion - 31 questions (65%)
  • Remainder and Divisibility Problems - 9 questions (19%)
  • Properties of Binomial Coefficients - 6 questions (13%)
  • Terms of Binomial Expansion has produced the most tough questions (3).
6.Is Binomial Theorem's weightage in COMEDK going up or down?

Across all 21 papers analysed, Binomial Theorem has averaged about 2.3 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.