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Mathematics - Binomial Theorem

Practise 34 KCET previous year questions on Binomial Theorem, compiled from papers spanning 2007 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 KCET tests.

Binomial Theorem has been asked in 18 of the 20 years of KCET papers analysed (2007–2026), with 34 questions in all. 59% of them were easy, 29% moderate and 12% tough. Most of its questions came from 2012, with 4 questions that year. In the last three years (2024–2026) it had 3 questions across 3 papers, about 1 per paper.

The chapter's 6 topics are not weighted equally: Terms of Binomial Expansion (13 questions, 38%), Remainder and Divisibility Problems (11 questions, 32%), and Sum of Series (6 questions, 18%) have been asked the most. Terms of Binomial Expansion has also led over the last five years, with 3 questions. Remainder and Divisibility Problems has produced the most tough questions (2).

  1. 1The value at for2026Terms of Binomial Expansion
  2. 2If the number of terms in the binomial expansion of is 22 , then the value of is2025Terms of Binomial Expansion
  3. 3In the expansion of is equal to2024Sum of Series
  4. 4If is even and the middle term in the expansion of is , then is equal to2023Terms of Binomial Expansion
  5. 5If , then the value of2020Sum of Series
  6. 6If , then the number of subsets of A which contain at least two elements is2020Multinomial Theorem
  7. 7The number of terms in the expansion of \( (x^{2}+y^{2} )^{25}- (x^{2}-y^{2} )^{25} \) after simplification is2019Terms of Binomial Expansion
  8. 8The constant term in the expansion of \( (x^{2}- {1}{x^{2}} )^{16} \) is2018Terms of Binomial Expansion
  9. 9\( 3+5+7+ \) to \( n \) terms is2017Terms of Binomial Expansion
  10. 10Binary operation * on \( R-\{-1\} \) defined by \( a^{*} b= {a}{b+1} \) is2017Properties of Binomial Coefficients
  11. 11The 11th term in the expansion of \( (x+ {1}{ {x}} )^{14} \) is2016Terms of Binomial Expansion
  12. 12If direction cosines of a vector of magnitude 3 are \( {2}{3},- {1}{3}, {2}{3}\) and \(a>0\), then vector is2015Terms of Binomial Expansion
  13. 13The order of differential equation of all circles of given radius ' \( a \) ' is2015Remainder and Divisibility Problems
  14. 14Which of the following is not a correct statement?2014Terms of Binomial Expansion
  15. 15If the value of , then is equal to2013Sum of Series
  16. 16The remainder when, is divided by 6 is2013Remainder and Divisibility Problems
  17. 17The 13 th term in the expansion of is independent of , then the sum of the divisors of is2012Terms of Binomial Expansion
  18. 18If , then is equal to2012Sum of Series
  19. 19The value of is2012Sum of Series
  20. 20The last digit of number is2012Remainder and Divisibility Problems
  21. 21If is an odd positive integer and , then is equal to2011Comparison between two numbers
  22. 22If th and th terms in the expansion of are equal, then is2011Properties of Binomial Coefficients
  23. 23The digit in the unit's place of is2011Remainder and Divisibility Problems
  24. 24The sum of all positive divisors of 242 except 1 and itself is2011Remainder and Divisibility Problems
  25. 25The number is divisible by2010Remainder and Divisibility Problems
  26. 26In the binomial expansion of , the coefficients of and are equal. Then, is2010Terms of Binomial Expansion
  27. 27If then is equal to2009Sum of Series
  28. 28The digit in the unit place of the number is2009Remainder and Divisibility Problems
  29. 29The total number of terms in the expansion of after simplification is2009Terms of Binomial Expansion
  30. 30The is divisible by2008Remainder and Divisibility Problems
  31. 31The digit in the unit's place of is2008Remainder and Divisibility Problems
  32. 32The remainder when is divided by 5 is2008Remainder and Divisibility Problems
  33. 33The ninth term of the expansion is2007Terms of Binomial Expansion
  34. 34The remainder obtained when is divided by 124 is2007Remainder and Divisibility Problems

Frequently Asked Questions

1.How many questions are available for Binomial Theorem?

This chapter includes 34 questions compiled from KCET papers spanning 2007 to 2026.

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

These are KCET 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 KCET Mathematics?

Binomial Theorem has appeared in 18 of the 20 years of KCET papers covered here, with 34 questions across 18 papers - about 2 per paper it appears in.

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

Of the 34 questions analysed for this chapter, 59% are easy, 29% moderate and 12% tough. 2012 had the most, with 4 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 - 13 questions (38%)
  • Remainder and Divisibility Problems - 11 questions (32%)
  • Sum of Series - 6 questions (18%)
  • Remainder and Divisibility Problems has produced the most tough questions (2).
6.Is Binomial Theorem's weightage in KCET going up or down?

Across all 18 papers analysed, Binomial Theorem has averaged about 1.9 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.