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Mathematics - Functions

Practise 73 WBJEE previous year questions on Functions, compiled from papers spanning 2009 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 WBJEE tests.

Functions has been asked in 18 of the 18 years of WBJEE papers analysed (2009–2026), with 73 questions in all. 44% of them were easy, 51% moderate and 5% tough. Most of its questions came from 2026, with 8 questions that year. In the last three years (2024–2026) it had 18 questions across 3 papers, about 6 per paper.

The chapter's 10 topics are not weighted equally: Types of Function (Mapping) (19 questions, 26%), Domain (13 questions, 18%), and Range (10 questions, 14%) have been asked the most. Types of Function (Mapping) has also led over the last five years, with 6 questions. Types of Function (Mapping) has produced the most tough questions (1).

  1. 1A mapping is selected at random from all mappings , where set . If the probability that the mapping is injective is , then the value of is2026Types of Function (Mapping)
  2. 2Let denotes the domain, then , which is defined by will have an inverse for the smallest real value of 'a' if2026Range
  3. 3Number of elements in the range set of , for all ; (where denotes the greatest integer function) is2026Range
  4. 4Let domain and range of and is . If is an increasing function, is a decreasing function, and , then for all2026Composite Function
  5. 5The equation has2026Domain
  6. 6If the domain of is , then the domain of is2026Domain
  7. 7If be a real valued function defined for all real numbers such that for some fixed , it satisfies , then is periodic with period2026Periodicity
  8. 8If a differentiable function satisfies and , then2026Functional Equation
  9. 9If and , then2025Composite Function
  10. 10A function , satisfies for all, . If the function ' ' is differentiable at 0 , then is2025Functional Equation
  11. 11If , then will be2025Composite Function
  12. 12Let and be such that . Then is equal to2025Functional Equation
  13. 13For every real number , let . Write \& for . Then must be2024Defintion of Function
  14. 14Consider the function . Then the equation2024Number of Solutions
  15. 15. Then is2024Range
  16. 16Let be a function defined by , then2024Types of Function (Mapping)
  17. 17Choose the correct statement :2024Periodicity
  18. 18The function defined by is2024Types of Function (Mapping)
  19. 19In the interval \((-2 , 0)\), the function \(f(x)= ( {1}{x^3} )\)2023Domain
  20. 20Let \( \) be a relation defined on set of natural numbers \( {N}\), as \( =\{(x, y) {N} {N}: 2 x+y=41\}\). Then domain \(A\) and range B are2023Domain
  21. 21Let \(f(x)=x^m, m\) being a non-negative integer. The value of \(m\) so that the equality \(f^{ }(a+b)=f^{ }(a)+f^{ }(b)\) is valid for all 2023Functional Equation
  22. 22Domain of is2022Domain
  23. 23Let be three non-void sets and and composed mapping be defined. Let be injective mapping. Then2022Types of Function (Mapping)
  24. 24For the mapping , given by , which of the following is correct ?2022Types of Function (Mapping)
  25. 25is defined as . Then2022Types of Function (Mapping)
  26. 26Let be the set of all orthogonal matrices of order 3 over the set of all non-singular matrices of order 3 over respectively Let , then2021Types of Function (Mapping)
  27. 27is real valued function such that for all . Then2021Defintion of Function
  28. 28Consider the functions . The graphs of the functions intersect.2021Range
  29. 29Let be such that and for all . Then is in2021Domain
  30. 30Given that is said to have a fixed point at of if . Let be defined by . Then2021Domain
  31. 31Let and be periodic functions with the periods and respectively. Then is2021Periodicity
  32. 32If where is the set of all non-singular matrices of order 2 over and , then2020Types of Function (Mapping)
  33. 33Let be periodic function. Then2020Periodicity
  34. 34The domain of is2020Domain
  35. 35Let be a mapping defined by Then is2020Types of Function (Mapping)
  36. 36Let and be two given functions. If be the domain of and be the domain of of then2020Domain
  37. 37Let be defined by for all . Then,2019Odd and Even Functions
  38. 38Consider the function . Then,2019Periodicity
  39. 39Let be three non-void sets and be so that is surjective. Then,2019Types of Function (Mapping)
  40. 40Two particles and move from rest along a straight line with constant accelerations and respectively. If takes seconds more than and describe2019Defintion of Function
  41. 41The domain of definition of is Here and2018Domain
  42. 42If be defined by and be defined by . The mapping gof : be defined by (gof) Then.2018Types of Function (Mapping)
  43. 43Consider the function The inverse of the function2018Inverse of a Function
  44. 44Let be such that is injective and for If are in G.P., then are in2017Types of Function (Mapping)
  45. 45If then lies in the interval2016Number of Solutions
  46. 46If the function is defined by then is2016Types of Function (Mapping)
  47. 47If is an odd differentiable function defined on such that then is equal to2016Odd and Even Functions
  48. 48Let be such that for all and then2016Types of Function (Mapping)
  49. 49Let be defined as . Then, range of the function is2015Range
  50. 50Let be a continuous function such that assumes only irrational values. If then2015Defintion of Function

Frequently Asked Questions

1.How many questions are available for Functions?

This chapter includes 73 questions compiled from WBJEE papers spanning 2009 to 2026.

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

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

3.Is Functions an important chapter for WBJEE Mathematics?

Functions has appeared in 18 of the 18 years of WBJEE papers covered here, with 73 questions across 18 papers - about 4 per paper it appears in.

4.What is the difficulty level of Functions questions in WBJEE?

Of the 73 questions analysed for this chapter, 44% are easy, 51% moderate and 5% tough. 2026 had the most, with 8 questions.

5.Which topics in Functions should I focus on?

These topics have carried the most weightage in Functions:

  • Types of Function (Mapping) - 19 questions (26%)
  • Domain - 13 questions (18%)
  • Range - 10 questions (14%)
  • Types of Function (Mapping) has produced the most tough questions (1).
6.Is Functions's weightage in WBJEE going up or down?

Across all 18 papers analysed, Functions has averaged about 4.1 questions per paper. In the last three years (2024–2026), that average has risen, at about 6.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.