Mathematics - Functions
Practise 129 MHTCET previous year questions on Functions, 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 MHTCET tests.
Functions has been asked in 15 of the 17 years of MHTCET papers analysed (2007–2026), with 129 questions in all. 49% of them were easy, 37% moderate and 14% tough. Most of its questions came from 2020, with 21 questions that year. In the last three years (2024–2026) it had 49 questions across 59 papers, about 0.8 per paper.
The chapter's 11 topics are not weighted equally: Composite Function (36 questions, 28%), Domain (32 questions, 25%), and Functional Equation (17 questions, 13%) have been asked the most. Composite Function has also led over the last five years, with 28 questions. Composite Function has produced the most tough questions (7).
- 1The domain of the function is...20 Apr, 2026 (M)Domain
- 2The domain of the function is...20 Apr, 2026 (M)Domain
- 3If , then is equal to20 Apr, 2026 (E)Inverse of a Function
- 4If and where represents the greatest integer function then, is equal to ...19 Apr, 2026 (M)Composite Function
- 5If and , then the value of is...19 Apr, 2026 (E)Composite Function
- 6Let and so on. If , then ...19 Apr, 2026 (E)Composite Function
- 7Let and . The condition holds for all if and only if ...18 Apr, 2026 (M)Composite Function
- 8The domain of the function is18 Apr, 2026 (E)Domain
- 9If and are defined as and , then17 Apr, 2026 (M)Composite Function
- 10If , then the values of for which is not defined are17 Apr, 2026 (M)Domain
- 11If , then17 Apr, 2026 (E)Composite Function
- 12If , and where , then16 Apr, 2026 (M)Composite Function
- 13If , then the domain of is16 Apr, 2026 (E)Domain
- 14If , then16 Apr, 2026 (E)Functional Equation
- 15If for all , then is .....15 Apr, 2026 (M)Functional Equation
- 16The domain of the function is13 Apr, 2026 (M)Domain
- 17If is the inverse function of , where , then13 Apr, 2026 (E)Inverse of a Function
- 18The domain of the function is ...11 Apr, 2026 (M)Domain
- 19If and then is equal to11 Apr, 2026 (E)Composite Function
- 20The function is _______ function05 May, 2025 (E)Odd and Even Functions
- 21If , where denotes the greatest integer function, then26 Apr, 2025 (M)Domain
- 22If and , then fog25 Apr, 2025 (M)Composite Function
- 23Let defined by and defined by , then sum of all values of for which is25 Apr, 2025 (E)Inverse of a Function
- 24If , then23 Apr, 2025 (M)Composite Function
- 25and then range of is23 Apr, 2025 (E)Composite Function
- 26For a real number denotes the greatest integer less than or equal to . Then the value of22 Apr, 2025 (M)Domain
- 27The values of b and c for which the identity is satisfied, where , are22 Apr, 2025 (E)Functional Equation
- 28If then has the value21 Apr, 2025 (M)Composite Function
- 29Which of the following is not a homogeneous function?21 Apr, 2025 (M)Identical Functions
- 30The function defined by is20 Apr, 2025 (M)Types of Function (Mapping)
- 31The domain of the function19 Apr, 2025 (E)Domain
- 32Range of the function is16 May, 2024 (M)Range
- 33Let the function be given by . Then g is16 May, 2024 (M)Odd and Even Functions
- 34The domain of the function is16 May, 2024 (E)Domain
- 35Let be defined as where denotes the greatest integer function. Then f is discontinuous at15 May, 2024 (M)Functional Equation
- 36Let , then the set is15 May, 2024 (M)Functional Equation
- 37If , where [.] denotes the greatest integer function, then15 May, 2024 (E)Identical Functions
- 38If , where denotes the greatest integer function, then11 May, 2024 (M)Domain
- 39If is given by then equals11 May, 2024 (E)Inverse of a Function
- 40The domain of definition of the function is given by the equation , is10 May, 2024 (M)Domain
- 41Let , then for , .10 May, 2024 (E)Composite Function
- 42Domain of definition of the real valued function is09 May, 2024 (M)Domain
- 43The domain of definition of the function given by the equation is09 May, 2024 (E)Domain
- 44If the function and , then the value of is04 May, 2024 (M)Composite Function
- 45If , then is equal to04 May, 2024 (M)Defintion of Function
- 46If , then (gogof)04 May, 2024 (E)Composite Function
- 47If and (gof) , then is equal to03 May, 2024 (M)Composite Function
- 48The domain of definition of is03 May, 2024 (E)Domain
- 49For a suitable chosen real constant a, let a function be defined by . Further suppose that for any real number and , (fof) . Then is equal t02 May, 2024 (M)Functional Equation
- 50The range of the function is14 May, 2023 (M)Range
Frequently Asked Questions
1.How many questions are available for Functions?
This chapter includes 129 questions compiled from MHTCET papers spanning 2007 to 2026.
2.Are these questions only from MHTCET, or from other exams too?
These are MHTCET 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 MHTCET Mathematics?
Functions has appeared in 15 of the 17 years of MHTCET papers covered here, with 129 questions across 95 papers - about one per paper it appears in.
4.What is the difficulty level of Functions questions in MHTCET?
Of the 129 questions analysed for this chapter, 49% are easy, 37% moderate and 14% tough. 2020 had the most, with 21 questions.
5.Which topics in Functions should I focus on?
These topics have carried the most weightage in Functions:
- Composite Function - 36 questions (28%)
- Domain - 32 questions (25%)
- Functional Equation - 17 questions (13%)
- Composite Function has produced the most tough questions (7).
6.Is Functions's weightage in MHTCET going up or down?
Across all 95 papers analysed, Functions has averaged about 1.4 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.8 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.