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Mathematics - Functions

Practise 38 COMEDK previous year questions on Functions, compiled from papers spanning 2012 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 COMEDK tests.

Functions has been asked in 15 of the 15 years of COMEDK papers analysed (2012–2026), with 38 questions in all. 58% of them were easy, 39% moderate and 3% tough. Most of its questions came from 2025, with 6 questions that year. In the last three years (2024–2026) it had 15 questions across 10 papers, about 1.5 per paper.

The chapter's 10 topics are not weighted equally: Types of Function (Mapping) (7 questions, 18%), Domain (6 questions, 16%), and Inverse of a Function (6 questions, 16%) have been asked the most. Types of Function (Mapping) has also led over the last five years, with 5 questions. Functional Equation has produced the most tough questions (1).

  1. 1Consider the following list of ordered pairs: and Which of the following options correctly identifies only those pairs that are NOT elements09 May, 2026 (S1)Defintion of Function
  2. 2The function defined by is09 May, 2026 (S2)Types of Function (Mapping)
  3. 3The domain of the function09 May, 2026 (S2)Domain
  4. 4The range of the relation is:09 May, 2026 (S2)Range
  5. 5If a function is defined as , then the pre-image of -3 is25 May, 2025 (Shift)Number of Solutions
  6. 6The domain of the function is25 May, 2025 (Shift)Domain
  7. 7Let be the set of all matrices with entries from the set R of real numbers. Then the function defined by for every is10 May, 2025 (S1)Types of Function (Mapping)
  8. 8If a function defined by , then the range of is10 May, 2025 (S2)Range
  9. 9Domain of the function for real valued of is10 May, 2025 (S2)Domain
  10. 10A function from the set of natural numbers to integers defined by is10 May, 2025 (S3)Types of Function (Mapping)
  11. 11Preview not available - open to view this question.2024 (Afternoon Shift)Types of Function (Mapping)
  12. 12The domain of the function is2024 (Evening Shift)Domain
  13. 13If , then is equal to2024 (Memory Based)Functional Equation
  14. 14Let be a function defined by then2024 (Morning Shift)Types of Function (Mapping)
  15. 15Which of the following is not a homogenous function of and2024 (Morning Shift)Functional Equation
  16. 16If , then is equal to2023 (Memory Based)Functional Equation
  17. 17If , then is equal to2023 (Morning Shift)Composite Function
  18. 18If real values of , then is given by2022Functional Equation
  19. 19If satisfies the relation for all real , then is2021Functional Equation
  20. 20If and , then is equal to2021Identical Functions
  21. 21If is defined by , then2020Inverse of a Function
  22. 22A graph has vertices of odd degree and ' ' vertices of even degree. Then which of the following statements is necessarily true?2020Odd and Even Functions
  23. 23Which of the following is not a group with respect to the given operation?2020Odd and Even Functions
  24. 24If is defined by , then2019Inverse of a Function
  25. 25If is an even function and exists, then is2019Odd and Even Functions
  26. 26The value of for which the function is the inverse of itself is2018Inverse of a Function
  27. 27If , then the number of possiblc bijection from to is2018Inverse of a Function
  28. 28Which of the following is an even function?2017Odd and Even Functions
  29. 29The function defined by is one-one but not onto if and are respectively, is equal to2016Range
  30. 30If and are two functions with and , then2016Composite Function
  31. 31If and , then which of the following is true?2015Composite Function
  32. 32The number of bijective functions from the set A to itself, if contains 108 elements is2015Types of Function (Mapping)
  33. 33The domain of the function is2014Domain
  34. 34If , then2014Inverse of a Function
  35. 35If is given by , then equals2014Inverse of a Function
  36. 36The number of real roots of the equation is2014Number of Solutions
  37. 37If denotes the set of all real number, then the function defined is2013Types of Function (Mapping)
  38. 38The domain of the function2012Domain

Frequently Asked Questions

1.How many questions are available for Functions?

This chapter includes 38 questions compiled from COMEDK papers spanning 2012 to 2026.

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

These are COMEDK 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 COMEDK Mathematics?

Functions has appeared in 15 of the 15 years of COMEDK papers covered here, with 38 questions across 23 papers - about 2 per paper it appears in.

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

Of the 38 questions analysed for this chapter, 58% are easy, 39% moderate and 3% tough. 2025 had the most, with 6 questions.

5.Which topics in Functions should I focus on?

These topics have carried the most weightage in Functions:

  • Types of Function (Mapping) - 7 questions (18%)
  • Domain - 6 questions (16%)
  • Inverse of a Function - 6 questions (16%)
  • Functional Equation has produced the most tough questions (1).
6.Is Functions's weightage in COMEDK going up or down?

Across all 23 papers analysed, Functions has averaged about 1.7 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 1.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.