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Mathematics - Binomial Theorem

Practise 34 BITSAT previous year questions on Binomial Theorem, compiled from papers spanning 2009 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty BITSAT tests.

Binomial Theorem has been asked in 16 of the 16 years of BITSAT papers analysed (2009–2024), with 34 questions in all. 26% of them were easy, 50% moderate and 24% tough. Most of its questions came from 2024, with 4 questions that year. In the last three years (2022–2024) it had 8 questions across 6 papers, about 1.3 per paper.

The chapter's 7 topics are not weighted equally: Terms of Binomial Expansion (18 questions, 53%), Properties of Binomial Coefficients (5 questions, 15%), and Binomial Theorem for Rational Index (3 questions, 9%) have been asked the most. Terms of Binomial Expansion has also led over the last five years, with 9 questions. Sum of Series has produced the most tough questions (3).

  1. 1If the and the terms in the expansion of are equal, then the coefficient of in the expansion of is2024 (Memory Based Paper 1)Properties of Binomial Coefficients
  2. 2The coefficient of the highest power of in the expansion of2024 (Memory Based Paper 2)Terms of Binomial Expansion
  3. 3The coefficient of term in the binomial expansion of is2024 (Memory Based Paper 3)Terms of Binomial Expansion
  4. 4The coefficient of in the expansion of is2024 (Memory Based Paper 3)Terms of Binomial Expansion
  5. 5The middle term in the expansion of is2023 (Memory Based Paper 1)Terms of Binomial Expansion
  6. 6If occurs in the rth term in the expansion of , then what is the value of ?2023 (Memory Based Paper 2)Terms of Binomial Expansion
  7. 7The number of terms in the expansion of , is2022Terms of Binomial Expansion
  8. 8If the sum of the coefficients in the expansion of is 1024 , then the value of the greatest coefficient in the expansion is2022Terms of Binomial Expansion
  9. 9The coefficient of the term independent of in the expansion of is2021Terms of Binomial Expansion
  10. 10Coefficient of in the expansion of is2021Terms of Binomial Expansion
  11. 11If a, b, c are three natural numbers in AP and a + then the possible number of values of the ordered triplet is2020Properties of Binomial Coefficients
  12. 12Let 2 x 2 + 3 x + 4 10 = r = 0 20 a r x r , then the value of is2019Sum of Series
  13. 13If 1 + x + x 2 20 = r = 0 40 a r x r , then r = 0 39 - 1 r a r a r + 1 equal to2019Sum of Series
  14. 14If the coefficient of x 3 and x 4 in the expansion of 1 + a x + b x 2 1 - 2 x 18 in powers of x are both zero, then a , b is equal to2019Terms of Binomial Expansion
  15. 15In the expansion of 1 + x + x 3 + x 4 10 , the coefficient of x 4 is2019Multinomial Theorem
  16. 16The coefficient of x - n in 1 + x n 1 + 1 x n is2018Terms of Binomial Expansion
  17. 17The greatest term in the expansion of 3 1 + 1 3 20 is2018Terms of Binomial Expansion
  18. 18The coefficient of x 5 in the expansion of 1 + x 21 + 1 + x 22 + + 1 + x 30 is2017Terms of Binomial Expansion
  19. 19The number of values of satisfying the equation is2016Properties of Binomial Coefficients
  20. 20If then2016Sum of Series
  21. 21If the sum of odd numbered terms and the sum of even numbered terms in the expansion of are and respectively, then the value of is2016Binomial Theorem for Rational Index
  22. 22If the third term in the expansion of is then may be2016Binomial Theorem for Rational Index
  23. 23If then the value of is2015Binomial Theorem for Negative Index
  24. 24The coefficient of in the expansion of is2014Multinomial Theorem
  25. 25If represent the terms in the expansion of , then2014Properties of Binomial Coefficients
  26. 26The coefficient of the middle term in the expansion of is:2013Terms of Binomial Expansion
  27. 27If denote the binomial coefficientsin the expansion of , then the value of2013Properties of Binomial Coefficients
  28. 28The coefficient of in the expansion of is2012Binomial Theorem for Rational Index
  29. 29For \(n {N}, x^{n+1}+(x+1)^{2 n-1}\) is divisible by2011Remainder and Divisibility Problems
  30. 30The term independent of \(x\) in the expansion of \( (9 {x}- {1}{3 { {x}}} )^{18}, {x} > 0\), is a times the corresponding binomial coeffici2011Terms of Binomial Expansion
  31. 31In the binomial \( (2^{1 / 3}+3^{-1 / 3} )^{ {n}}\), if the ratio of the seventh term from the beginning of the expansion to the seventh ter2011Terms of Binomial Expansion
  32. 32With 17 consonants and 5 vowels the number of words of four letters that can be formed having two different vowels in the middle and one con2010Terms of Binomial Expansion
  33. 33The general solution of \(8 ^2 {x}{2}=1+ x\) is2009Remainder and Divisibility Problems
  34. 34The letters of the word TOUGH are written in all possible orders and these words are written out as in a dictionary, then the rank of the wo2009Terms of Binomial Expansion

Frequently Asked Questions

1.How many questions are available for Binomial Theorem?

This chapter includes 34 questions compiled from BITSAT papers spanning 2009 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Binomial Theorem has appeared in 16 of the 16 years of BITSAT papers covered here, with 34 questions across 19 papers - about 2 per paper it appears in.

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

Of the 34 questions analysed for this chapter, 26% are easy, 50% moderate and 24% tough. 2024 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 - 18 questions (53%)
  • Properties of Binomial Coefficients - 5 questions (15%)
  • Binomial Theorem for Rational Index - 3 questions (9%)
  • Sum of Series has produced the most tough questions (3).
6.Is Binomial Theorem's weightage in BITSAT going up or down?

Across all 19 papers analysed, Binomial Theorem has averaged about 1.8 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.