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Mathematics - Binomial Theorem

Practise 159 TS 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 TS EAMCET tests.

Binomial Theorem has been asked in 24 of the 24 years of TS EAMCET papers analysed (2001–2024), with 159 questions in all. 34% of them were easy, 52% moderate and 14% tough. Most of its questions came from 2023, with 24 questions that year. In the last three years (2022–2024) it had 41 questions across 17 papers, about 2.4 per paper.

The chapter's 11 topics are not weighted equally: Terms of Binomial Expansion (69 questions, 43%), Sum of Series (25 questions, 16%), and Binomial Theorem for Negative Index (20 questions, 13%) have been asked the most. Terms of Binomial Expansion has also led over the last five years, with 35 questions. Sum of Series has produced the most tough questions (9).

  1. 1If represent the binomial coefficients in the expansion of , then04 May, 2025 (M)Properties of Binomial Coefficients
  2. 2When the coefficient of in the expansion of is04 May, 2025 (M)Terms of Binomial Expansion
  3. 3Numerically greatest term in the expansion of when and is04 May, 2025 (E)Terms of Binomial Expansion
  4. 4Let be the number of rational terms in the expansion of . If the coefficient of in the expansion of is , then04 May, 2025 (E)Terms of Binomial Expansion
  5. 5Numerically greatest term in the expansion of when and is03 May, 2025 (M)Terms of Binomial Expansion
  6. 6If are the binomial coefficients in the expansion of then03 May, 2025 (M)Properties of Binomial Coefficients
  7. 7If are the binomial coefficients in the expansion of then the value of when is03 May, 2025 (E)Binomial Theorem
  8. 8The coefficient of in the expansion of is03 May, 2025 (E)Terms of Binomial Expansion
  9. 9If the coefficient of term from the beginning in the expansion of is equal to the coefficient of term from the end in the expansion of then 02 May, 2025 (M)Terms of Binomial Expansion
  10. 10If the expression is divisible by 24 for all , then the least positive integral value of is02 May, 2025 (M)Remainder and Divisibility Problems
  11. 11The constant term in the expansion of is02 May, 2025 (E)Terms of Binomial Expansion
  12. 12When , the coefficient of in the expansion of is02 May, 2025 (E)Binomial Theorem for Rational Index
  13. 13The coefficient of in the expansion of is11 May, 2024 (M)Multinomial Theorem
  14. 14The set of all real values of for which the expansion of is valid, is11 May, 2024 (M)Binomial Theorem for Negative Index
  15. 15If and are the real numbers such that the 7th term in the expansion of is 700 then10 May, 2024 (M)Terms of Binomial Expansion
  16. 16If represents the 4th term in the expansion of and , then10 May, 2024 (M)Terms of Binomial Expansion
  17. 17if is divisible by , then the maximum value of is10 May, 2024 (E)Remainder and Divisibility Problems
  18. 18If the coefficient of in the expansion of is , and then10 May, 2024 (E)Multinomial Theorem
  19. 19Assertion (A) : Reason (R): , The correct answer is10 May, 2024 (E)Sum of Series
  20. 20If and , then09 May, 2024 (M)Properties of Binomial Coefficients
  21. 21When coefficient of in the power series expansion of is09 May, 2024 (M)Binomial Theorem for Negative Index
  22. 22If the coefficients of 3 consecutive terms in the expansion of are in arithmetic progression, then those terms are09 May, 2024 (E)Properties of Binomial Coefficients
  23. 23The numerically greatest term in the expansion of when and is09 May, 2024 (E)Comparison between two numbers
  24. 24If is the set of all values of for which the expansion of is valid, then14 May, 2023 (M)Binomial Theorem for Negative Index
  25. 25If is a positive integer and is the coefficient of in the expansion of , then14 May, 2023 (M)Terms of Binomial Expansion
  26. 26If to , then14 May, 2023 (M)Sum of Series
  27. 27If , then14 May, 2023 (M)Remainder and Divisibility Problems
  28. 28The term independent of in the expansion of is14 May, 2023 (E)Terms of Binomial Expansion
  29. 29If and of , then14 May, 2023 (E)Series involving Product of Coefficients
  30. 30If , then14 May, 2023 (E)Sum of Series
  31. 31If the coefficient of in the expansion of is and are coprimes, then14 May, 2023 (E)Terms of Binomial Expansion
  32. 32If are two positive integers such that , then13 May, 2023 (M)Properties of Binomial Coefficients
  33. 33In the expansion of , if the total number of terms is and the coefficient of is , then13 May, 2023 (M)Terms of Binomial Expansion
  34. 34Let be the binomial coefficients in the expansion of . If terms, then13 May, 2023 (M)Properties of Binomial Coefficients
  35. 35If is so small that and higher powers of can be neglected, then an approximate value of is13 May, 2023 (M)Binomial Theorem for Negative Index
  36. 36The numerically greatest term in the binomial expansion of when and is13 May, 2023 (E)Terms of Binomial Expansion
  37. 37When is divided by 16 , the remainder obtained is13 May, 2023 (E)Remainder and Divisibility Problems
  38. 38If , then13 May, 2023 (E)Terms of Binomial Expansion
  39. 39If is expanded in terms of the powers of , then the coefficient of is13 May, 2023 (E)Terms of Binomial Expansion
  40. 40If then13 May, 2023 (E)Terms of Binomial Expansion
  41. 41If the term independent of in the expansion of is 405 , then12 May, 2023 (M)Terms of Binomial Expansion
  42. 42The number of rational terms in the binomial expansion of is12 May, 2023 (M)Terms of Binomial Expansion
  43. 43The coefficient of in the expansion of is12 May, 2023 (M)Terms of Binomial Expansion
  44. 44A student is allowed to select at most books from a collection of books. If the total number of ways in which ne can select at least one boo12 May, 2023 (E)Properties of Binomial Coefficients
  45. 45The number of integral terms in the expansion of is12 May, 2023 (E)Terms of Binomial Expansion
  46. 46The expansion of in powers of is valid if12 May, 2023 (E)Binomial Theorem for Negative Index
  47. 47If for , then12 May, 2023 (E)Sum of Series
  48. 48Preview not available - open to view this question.20 Jul, 2022 (M)Binomial Theorem for Negative Index
  49. 49Numerically greatest term in the expansion of when and is20 Jul, 2022 (E)Terms of Binomial Expansion
  50. 50If is the coefficient of in the expansion of then19 Jul, 2022 (M)Terms of Binomial Expansion

Frequently Asked Questions

1.How many questions are available for Binomial Theorem?

This chapter includes 159 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS 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 TS EAMCET Mathematics?

Binomial Theorem has appeared in 25 of the 25 years of TS EAMCET papers covered here, with 159 questions across 64 papers - about 2 per paper it appears in.

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

Of the 159 questions analysed for this chapter, 34% are easy, 52% moderate and 14% tough. 2023 had the most, with 24 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 - 69 questions (43%)
  • Sum of Series - 25 questions (16%)
  • Binomial Theorem for Negative Index - 20 questions (13%)
  • Sum of Series has produced the most tough questions (9).
6.Is Binomial Theorem's weightage in TS EAMCET going up or down?

Across all 64 papers analysed, Binomial Theorem has averaged about 2.5 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 2.4 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.