Jump to a section

Mathematics - Binomial Theorem

Practise 196 AP EAMCET previous year questions on Binomial Theorem, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty AP EAMCET tests.

Binomial Theorem has been asked in 24 of the 24 years of AP EAMCET papers analysed (2001–2024), with 196 questions in all. 31% of them were easy, 56% moderate and 14% tough. Most of its questions came from 2020, with 29 questions that year. In the last three years (2022–2024) it had 52 questions across 28 papers, about 1.9 per paper.

The chapter's 10 topics are not weighted equally: Terms of Binomial Expansion (76 questions, 39%), Properties of Binomial Coefficients (35 questions, 18%), and Sum of Series (28 questions, 14%) have been asked the most. Terms of Binomial Expansion has also led over the last five years, with 29 questions. Terms of Binomial Expansion has produced the most tough questions (7).

  1. 1Preview not available - open to view this question.27 May, 2025 (M)Sum of Series
  2. 2Preview not available - open to view this question.27 May, 2025 (M)Sum of Series
  3. 3If is positive real number and the first negative term in the expansion of is then27 May, 2025 (M)Binomial Theorem for Rational Index
  4. 4In the binomial expansion of , if the sum of term and term is zero, then26 May, 2025 (M)Terms of Binomial Expansion
  5. 5The numerically greatest term in the expansion of , when and is26 May, 2025 (M)Terms of Binomial Expansion
  6. 6The coefficient of in the expansion of is26 May, 2025 (E)Multinomial Theorem
  7. 7Let and . Assertion (A) : Reason (R) : and26 May, 2025 (E)Sum of Series
  8. 8If , then24 May, 2025 (M)Binomial Theorem for Rational Index
  9. 9Sum of the coefficients of and in the expansion of is24 May, 2025 (M)Terms of Binomial Expansion
  10. 10If the coefficients of and in the expansion of are 396 and 144 respectively, then23 May, 2025 (M)Terms of Binomial Expansion
  11. 11If , then the value of the term in the expansion of when is23 May, 2025 (M)Binomial Theorem for Rational Index
  12. 12If and is expanded in terms of powers of , then the coefficient of is23 May, 2025 (M)Binomial Theorem for Negative Index
  13. 13If are the binomial coefficients in the expansion of , then23 May, 2025 (E)Properties of Binomial Coefficients
  14. 14Preview not available - open to view this question.23 May, 2025 (E)Binomial Theorem for Rational Index
  15. 15If is a positive integer and is a divisor of the number , then the greatest value of is22 May, 2025 (M)Remainder and Divisibility Problems
  16. 16The number of all possible values of k for which the expansion will have exactly nine irrational terms is22 May, 2025 (M)Terms of Binomial Expansion
  17. 17The terms containing (for certain and ) are present in both the expansions of and . If is the number of such terms, then the sum22 May, 2025 (E)Terms of Binomial Expansion
  18. 18The coefficient of in the power series expansion of is22 May, 2025 (E)Terms of Binomial Expansion
  19. 19If , then the value of is21 May, 2025 (M)Sum of Series
  20. 20If is so large that terms containing can be neglected, then the approximate value of is21 May, 2025 (M)Binomial Theorem for Rational Index
  21. 21If and is maximum, then21 May, 2025 (E)Properties of Binomial Coefficients
  22. 22Coefficient of in the expansion of is21 May, 2025 (E)Terms of Binomial Expansion
  23. 23If denotes the product of the binomial coefficients in the expansion of , then21 May, 2025 (E)Properties of Binomial Coefficients
  24. 24The coefficient of in the expansion of when it is expressed in terms of positive integral powers of , is21 May, 2025 (E)Binomial Theorem
  25. 25The independent term in the expansion of is23 May, 2024 (M)Terms of Binomial Expansion
  26. 26For , the coefficient of in the expansion of is23 May, 2024 (M)Terms of Binomial Expansion
  27. 27If the and terms in the expansion of are respectively and is a positive integer then22 May, 2024 (M)Terms of Binomial Expansion
  28. 28If , then the number of terms in the expansion of is22 May, 2024 (M)Binomial Theorem for Negative Index
  29. 29, the coefficients of in the power series expansion of is22 May, 2024 (M)Binomial Theorem for Negative Index
  30. 30If P is the greatest divisor of for all , then the number of factors of P is22 May, 2024 (E)Remainder and Divisibility Problems
  31. 31If the coefficients of and terms in the expansion of are in the ratio of , then22 May, 2024 (E)Terms of Binomial Expansion
  32. 32If the coefficients of and terms in the expansion of are equal, then the value of22 May, 2024 (E)Terms of Binomial Expansion
  33. 33The sum of the rational term in the binomial expansion of is21 May, 2024 (M)Terms of Binomial Expansion
  34. 34If the ratio of the terms equidistant from the middle term in the expansion of is then sum of all the terms of the expansion is21 May, 2024 (E)Terms of Binomial Expansion
  35. 35In the expansion of , the sum of the coefficients of the first 5 odd powers of is21 May, 2024 (E)Sum of Series
  36. 36If then20 May, 2024 (M)Sum of Series
  37. 37The coefficient of in the expansion of is20 May, 2024 (M)Properties of Binomial Coefficients
  38. 38If the coefficients of and are equal in the expansion of , then the coefficient of in the expansion of is20 May, 2024 (E)Properties of Binomial Coefficients
  39. 39If then the term in the expansion of is20 May, 2024 (E)Terms of Binomial Expansion
  40. 40Numerically greatest term in the expansion of , when . is19 May, 2024 (E)Terms of Binomial Expansion
  41. 41For all positive integers ' ' if is divisible by , then the number of prime numbers less than or equal to is18 May, 2024 (M)Remainder and Divisibility Problems
  42. 42The square root of independent term in the expansion of is18 May, 2024 (M)Terms of Binomial Expansion
  43. 43The coefficient of in is18 May, 2024 (M)Multinomial Theorem
  44. 44The absolute value of the difference of the coefficients of and in the expansion of is18 May, 2024 (M)Properties of Binomial Coefficients
  45. 45When is so small that its square and its higher powers may be neglected, then the value of is approximately equal to19 May, 2023 (M)Binomial Theorem for Negative Index
  46. 46The coefficient of in the expansion of is19 May, 2023 (M)Binomial Theorem for Negative Index
  47. 47The greatest term in the expansion of , when is19 May, 2023 (M)Terms of Binomial Expansion
  48. 48If , then when is19 May, 2023 (M)Series involving Product of Coefficients
  49. 49If are the ,18 May, 2023 (M)Terms of Binomial Expansion
  50. 50The coefficient of in the expansion of , is18 May, 2023 (E)Binomial Theorem for Rational Index

Frequently Asked Questions

1.How many questions are available for Binomial Theorem?

This chapter includes 196 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP EAMCET 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 AP EAMCET Mathematics?

Binomial Theorem has appeared in 25 of the 25 years of AP EAMCET papers covered here, with 196 questions across 80 papers - about 2 per paper it appears in.

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

Of the 196 questions analysed for this chapter, 31% are easy, 56% moderate and 14% tough. 2020 had the most, with 29 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 - 76 questions (39%)
  • Properties of Binomial Coefficients - 35 questions (18%)
  • Sum of Series - 28 questions (14%)
  • Terms of Binomial Expansion has produced the most tough questions (7).
6.Is Binomial Theorem's weightage in AP EAMCET going up or down?

Across all 80 papers analysed, Binomial Theorem has averaged about 2.5 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.9 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.